If csc (theta)= 13/12 and 0° < theta< 90°, what is cos (theta)?
Answers
The value of cos(theta) is \(\frac{5}{13}\).
To find the value of cos(theta) when csc(theta) is given, we can use the reciprocal identity for sine and the Pythagorean identity.
Given that:
\(csc(theta) = \frac{13}{12}\), we know that
\(sin(theta) = \frac{1}{cos(theta)}\)
\(= \frac{12}{13}\)
Using the Pythagorean identity, we can find the value of cos(theta).
Since 0° < theta < 90°, theta lies in the first quadrant, where both sine and cosine are positive.
Using the Pythagorean identity:
\(sin^2(theta) + cos^2(theta) = 1\)
Substituting \(sin(theta) = \frac{12}{13}\) into the equation:
\((\frac{12}{13})^2+ cos^2 (theta) = 1\)
Simplifying, we have:
\(\frac{144}{169}+ cos^2 (theta) = 1\)
\(cos^2(theta) = \frac{169}{169} - \frac{144}{169}\)
\(cos^2(theta) = \frac{25}{169}\)
Taking the square root of both sides, we get:
\(cos(theta) = \frac{5}{13}\)
Therefore, \(cos(theta) = \frac{5}{13}\) .
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Related Questions
15 meters is what percent of 3 meters
Answers
Find the average rate of change of the function f(x)=2x^3-x from [4,6].
PLEASE HELP!
Answers
The average rate of change of a function f(x) over the interval [a, b] is given by the formula:
average rate of change = (f(b) - f(a)) / (b - a)
In this case, the function is f(x) = 2x^3 - x and the interval is [4, 6]. So we have:
f(4) = 2(4)^3 - 4 = 124
f(6) = 2(6)^3 - 6 = 330
Therefore, the average rate of change of f(x) over [4, 6] is:
(330 - 124) / (6 - 4) = 103
So the average rate of change of the function f(x) over the interval [4, 6] is 103.
Answer:
151
Step-by-step explanation:
Average Rate of Change Formula
\(\frac{f(b)-f(a)}{b-a}\\\frac{f(6)-f(4)}{6-4} \\\frac{((2*6^3)-6)-((2*4^3)-4)}{2} \\\frac{(432-6)-(128-4)}{2} \\\frac{426-124}{2}\\\\ \frac{302}{2} = 151\)
If you have trouble remembering the rate of change formula, it's the same as the slope formula.
\(f(b) = y_2\\f(a) = y_1\\b = x_2\\b = x_1\\slope = \frac{y_2-y_1}{x_2-x_1} \\\)
Similarly to the slope formula, it doesn't matter which point you set up to be the second coordinate, as long as it is consistent across the numerator and denominator.
At an amusement park, riders must be at least 48 inches tall to ride the Night Eagle roller coaster. Keenan has grown 1.5 inches since last summer, but he is still too short to ride. Let x represent how tall Keenan was last summer. Which inequality describes the problem?
Answers
The inequality that describes the given word problem is;
x + 1.5 < 48
How to solve Inequality word problems?Let x represent how tall Keenan was last summer. Thus;
x = Keenan's height last summer in inches
If he was x inches last summer, and has since grown an additional 1.5 inches up to date, then it means that his total height now is;
x + 1.5 inches.
The conditons state "riders must be at least 48 inches tall to ride the Night Eagle roller coaster". So it means that his height must be equal to 48 inches, or larger than 48 inches, to make him eligible to ride the roller coaster.
But since he is still too short to ride, this means the expression x+1.5 is smaller than 48 and as such the inequality of this problem is;
x + 1.5 < 48
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Find the surface area of the composite figure.
20 in.
11 in.
5 in.
I
I
19 in
12 in.
12 in.
SA
=
11 in.
5 in.
20 in.
[?] in.2
Answers
The surface area of the composite figure is 2005 in².
To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.
Let's break down the figure into its different parts and calculate the surface area step by step:
Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²
Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:
Surface Area of Rectangular Prism = 2lw + 2lh + 2wh
Plugging in the values, we have:
Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²
Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:
Surface Area of Rectangle = lw
Plugging in the values, we have:
Surface Area of Rectangle = (11)(5) = 55 in²
Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:
Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle
Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²
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David has a bank account which pays interest at the rate of 1.5% per year, compounded annually. Determine what amount David
must have in the bank, given that he would like to draw an annual salary of $32,635.15 from his account at the end of each year
for 30 years. Round to the nearest cent.
Answers
Answer: the amount that David must have in the bank is $783243.6
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 1.5/100 = 0.015
n = 30 years
R = $32,635.15
Therefore,
PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015
PV = 32635.15[1 - (1.015)^- 30]/0.015
PV = 32635.15[1 - 0.64]/0.015
PV = 32635.15[0.36]/0.015
PV = 32635.15 × 24
PV = $783243.6
a. $783,760.48
on edgen
Use the formula m =
V2 - V1
*2-X1
line.
The slope of the line is
to calculate the slope of the?
Answers
Answer:
Step-by-step explanation:
Step 1: Define
Point (2, 8)
Point (-6, -8)
Substitute in points [SF]: m= -8-8/-6-2
[Fraction] Subtract: m=-16/-8
[Fraction] Divide: m=2
The slope of the line joining points (2, 8) and (-6, -8) is 2.
A straight line is a line plotted on the Cartesian plane. The line is generally written in the form y = mx + c, where m is the slope and c is the intercept of the straight line. The slope of the line can be obtained by using many formulae but if two points are given then the following formula is used:
\(m = \dfrac{y_2 - y_1}{x_2 - x_1}\).
The given points are (2, 8) and (-6, -8).
So, \(x_1 = 2, y_1 = 8, x_2 = -6,\) and \(y_2 = -8\).
The formula to find the slope of the straight line is
\(m = \dfrac{y_2 - y_1}{x_2 - x_1}\)
\(= \dfrac{-8-8}{-6-2} \\= \dfrac{-16}{-8}\\= \dfrac{16}{8}\\= 2\)
Therefore, the slope of the given line is 2.
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The complete question is as follows:
Use the formula m = \(\dfrac{y_2 - y_1}{x_2 - x_1}\) to find the slope of the line joining points (2, 8) and (-6, -8).
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
– 27 ÷ (– 3) – 9
– 27 ÷ 3 – 9
27 ÷ 3 + 9
Answers
Answer:
-27÷(-3)-9
=0
Step-by-step explanation:
Hope this helps you.
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
Answers
1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.
2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?
In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.
3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?
In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.
4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?
In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.
I hope this clarifies the nature of each event. Let me know if you have any further questions!
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
1.0315 x 10^ written in standard notation
Answers
Answer:
10.315
Step-by-step explanation:
Jane drove 864 miles in 12 hours.
At the same rate, how many miles would she drive in 9 hours?
Answers
Answer:
648 miles
Step-by-step explanation:
864/12=72
72 x 9= 648
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Answer:648
Step-by-step explanation:
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
Answers
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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A grocery store recently sold 6 cartons of vanilla yogurt and 12 other cartons of yogurt . Based on past data, how many of the next 48 cartons of yogurt sold should you expect to be vanilla?
Answers
Give each a sum or difference:
a. -12+4=
b. -4+1=
c. 4 - 12=
d. 4+12=
Answers
B. -3
C. -8
D. 16
Find value of x in trapezoid
Answers
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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Please show how to factor this 3x^2 -10x-8. \(3x^{2}-10x-8\)
Answers
Answer:
(x-4)(3x+2)
Step-by-step explanation:
Answer:
\((3x+2)(x-4)\)
Step-by-step explanation:
Something to keep in mind is that the factored expression will be in either the form of \((ax-b)(x-c)\) or \((ax-b)(cx-d)\). In either case, the final term will only be the product of -b and -c in the first case or -b and -d in the second case. This means that the term without an x will not be affected by the coefficient of x.
We have the following expression
\(3x^2-10x-8\)
The first thing we can do is list out the factors of -8
1 and -8
-1 and 8
2 and -4
-2 and 4
These are all of the pairs that could be factors of -8.
Normally, the next step would be to look for which of these factors would add together to give you the coefficient of x, but as there is a 3\(x^2\), this is complicated a little more.
Instead, we have to look for 3 multiplied by one of the factors and then added to the other factor. In the case of this problem, the result must be -10.
At this point, you just have to begin testing out which ones will work.
Let us look at the factors 2 and -4
\(2(3)-4=2\\\\2-4(3)=-10\)
We can see that while the first one didn't work, the second one resulted in -10, which is what we wanted.
Now that we know what the factors are, let us write them in the form\((ax-b)(x-c)\)
Normally, it does matter which number you pair with each x, but in this case, it does matter. As we had to multiply the -4 by 3, it must be in the pair that is opposite to the pair with the 3x.
Knowing this, we can construct out factor
\((3x+2)(x-4)\)
(Sorry that this explanation was quite lengthy)
Write down the ratio 240 kg to 6 kg.
Give your answer in its lowest form.
Answers
The ratio of the given 240 kg to 6 kg will be 40:1.
What is Ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
the ratio 240 kg to 6 kg.
It will be simple 240/6 :: 40 :1
Hence the ratio of the given data will be 40:1
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Find the total surface area of the cone in the figure. ( use rr=3.14.)
Answers
Answer:
Answer D
Step-by-step explanation:
The formula is \(A = pi r(r+\sqrt{h^2+r^2})\). We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
Answers
192/3 = 64
Volume = 64m^3
Ms.Jackson went to the local market to buy 50 pieces of fruit. Out of the 50 pieces of fruit she bought, 14 were apples. What fraction, decimal, and percent is equivalent to the amount of apples that Ms.Jackson bought?
A 7/25, 0.28, 28%
B 7/50, 0.7, 7%
C 7/25, 0.7, 28%
D 7/50, 0.28, 7%
Answers
Answer:
A
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Integral of 1/(x+cosx)
Answers
The integral is ln|x + cos(x)| + C, where C represents the constant of integration.
To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:
First, let's rewrite the integral in a slightly different form to simplify the process:
∫(1/(x + cos(x))) dx
We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).
Rearranging this equation, we get dx = du/(1 - sin(x)).
Substituting these values, the integral becomes:
∫(1/(u(1 - sin(x)))) du
Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:
∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C
Replacing u with its original expression, we have:
ln|x + cos(x)| + C
Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.
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A house is infested with mice and to combat this the householder acquired four cats cyd, Greg, Ken, and Rom, The householder observes that only half of the creatures caught are mice. A fifth are voles and the rest are birds. 20% of the catches are made by Cyd, 45% by Greg, 10% by Ken and 25% by rom. a) What is the probability of a randomly selected catch being a mouse caught by Cyd? b) Bird not caught by Cyd? c) Greg's catches are equally likely to be a mouse, a bird or a vole. What is the probability of a randomly selected d) The probability of a randomly selected catch being a mouse caught by Ken is 0.05 . What is the probablity that a catch being a mouse caught by Greg? e) Given that the probability of a randomly selected catch is a mouse caught by Rom is 0.2 verify that the catch made by Ken is a mouse? probability of a randomly selected catch being a mouse is 0.5 . f) What is the probability that a catch which is a mouse was made by Cyd?
Answers
Note that the probabilities are given below.
What are the probabilities?
a) the probability of a randomly selected catch being a mouse caught by Cyd
p(Catching a mount) x p(Cyd made the catch)
= 0.5x .2
= 0.1
b) the probability of a bird not caught by Cyd is 0.5 x 0.8 = 0.4.
Thus
P(that a catch is a bird) x p(the Cyd didn't make the catch)
= 0.3 x 0.8
=0.24
c) The probability of a randomly selected catch being caught by Greg is 0.45
To calculate, we say
(0.5 x0.45) + (0.3 x 0.45) + (0.2 x .45)
= 0.45.
d)
P (mouse caught by Greg) = (0.45 x 0.5) / 1
= 0.225.
e) P(catch is a mouse caught by Ken and catch is a mouse)
= P(catch is a mouse | catch is made by Ken) x P(catch is made by Ken)
= 0.05 x 0.1
= 0.005
f)
P (catch made by Cyd | catch is a mouse)
= 0.1 x 0.2 / 0.5
= 0.04
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Need help on the last problem please.
Answers
Answer:
6 of x and 5 of y
Step-by-step explanation:
x = number of closets of the first type
y = number of closets of the second type
1200 = 100x + 120y
100 = 10x + 8y
10x = 100 - 8y
10x(100 - 8y) + 120y = 1200
1000 - 80y + 120y = 1200
40y = 200
y = 5
100 = 10x + 8×5 = 10x + 40
60 = 10x
x = 6
20x + 24y = max
20×6 + 24×5 = 120 + 120 = 240
Which of the following is not a real number?
A. √2
B. -2
C. √₁,
D. 0
Answers
The price of a Technology stock was $9.73 yesterday today the price Rose to $9.80 find the percentage increase round your answer to the nearest tenth of a percent
Answers
1.34 %
Explanation:
First of all subtract the 2 values
9.84
−
9.71
=
0.13
then use this value and find the percentage from the original price which was 9.71 so
0.13
9.71
⋅
100
percentage increase is
1.34
%
answer these questions
Answers
A. True
B.true
C. False
D.true
Question 3: 40, 24
3. How many different numbers can be created by selecting 4 of the digits from the number 8712395?
Answers
840 different numbers can be created selecting 4 of the digits from the number
How many different numbers can be created selecting 4 of the digits from the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 8712395
Digits = 4
The count of digits in the number is 7
Using the above as a guide, we have the following:
First digit = any of the 7second digit = any of the remaining 6Third digit = any of the remaining 5Fourth digit = any of the remaining 4So, we have
Numbers = 7 * 6 * 5 * 4
Evaluate
Numbers = 840
Hence, 840 numbers can be formed
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Privacy issues: In a Fall 2014 Pew Research survey, 25% of American adults say they are "not at all confident" that the records of their activity maintained by credit card companies will remain private and secure. With numerous data breaches since then, a consumer group is interested in determining whether the proportion has increased this year. They select a random sample of 300 adults and find that 30% state they are not at all confident. After conducting the hypothesis test for p = 0.25 compared to p > 0.25 . we obtain a -value of 0.023. Which of the following interpretations of the -value is correct? There is a % chance that 25% of American adults say they are not at all conħdent that the records of their activity maintained by credit companies will remain private and secure. There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure it 25% of Americans are not at all confident this year. There is a % chance that 30% or more of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if assume 25% of American adults are not at all confident in 2014. There is a 2.3% chance that 30% of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secur
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There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if 25% of Americans are not at all confident this year. Answer:
Step-by-step explanation:
The null hypothesis is “the percentage of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure is 25%. If this is true, there is a 2.3% chance that a sample of 300 American adults will have 30% or more who say they are not at all confident.
A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate non directional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is μ₀ = 100, with a standard deviation of σ = 14. If he designates the mean for the population of anxious people who take the anti-anxiety drug as μ anti-anxiety drug anti-anxiety drug , he can identify the null and alternative hypotheses as:
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Answer:
hello your question is incomplete attached below is the complete question
Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't
Step-by-step explanation:
average score for anxious people = 100
standard deviation = 14
mean of anxious people who take the anti-anxiety drug
null hypothesis ( H ) =
Alternate hypothesis ( H1 ) ≠
using the z- test ( hypothesis test ) the condition that is not required is the condition that
The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't
pg 69 lesson 7 chapter 1 - questions 3,4
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Send a picture so I can understand
This graph shows fuel consumption for a car during a test run three of the statements are true which is not thank you
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From the given picture we can see a linear graph represents the relation between the number of gallons used in miles
The x-axis represents the number of miles
The y-axis represents the number of gallons
In the point (73.5, 3.5),
its x-coordinate (73.5) represents the number of miles
its y-coordinate (3.5) represents the number of gallons
Then the statement the care used 70 gallons to travel 3 miles is wrong
Because 70 should be the number of miles and 3 should be the number of gallons
The answer is the right statement (2nd) in the first row