Answer:
12
Step-by-step explanation:
17x is a coefficient
y is a variale
12 is a constant
w is a variable
and 3x is a coefficient
TRUE/FALSE. using a two-tailed test with α = .05, a sample correlation of r = 0.355 for a sample of n = 30 individuals is large enough to conclude that there is a real correlation in the general population.
False. To determine if a sample correlation is large enough to conclude that there is a real correlation in the general population, we need to perform a hypothesis test. In this case, we would use a two-tailed test with an alpha level of 0.05.
The null hypothesis (H0) for this test would be that there is no correlation in the general population (ρ = 0). The alternative hypothesis (Ha) would be that there is a correlation in the general population (ρ ≠ 0).
To conduct the test, we would calculate the test statistic, which is the sample correlation r transformed into a t-value using the formula:
t = (r√(n-2))/√(1-r²)
In this case, with a sample correlation of r = 0.355 and a sample size of n = 30, we would calculate the t-value and compare it to the critical value from the t-distribution with (n-2) degrees of freedom.
If the calculated t-value falls outside the critical region, we would reject the null hypothesis and conclude that there is a real correlation in the general population. Otherwise, if the calculated t-value falls within the critical region, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support a real correlation in the general population.
Since we don't have the critical value or the calculated t-value, we cannot make a definitive conclusion. However, we can say that the statement provided does not provide enough information to determine if there is a real correlation in the general population based on the given sample correlation and sample size.
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Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue this pattern until they are both consuming the same number of calories per day. In how many days will that be? SHOW YOUR WORK
find the equation of the straight line with the following gradient point c) 5, (-1,-3)
Answer:
y = 5x + 2
Step-by-step explanation:
Standard form of Equation of line: y = mx + c
where m = slope or gradient,
c = y-intercept
From the question we know that:
x = - 1
y = - 3
m = 5
We will substitute these values into the equation to find c.
- 3 = (5)(- 1) + c
- 3 = - 5 + c
c = - 3 + 5 = 2
Therefore the equation of this line is: y = 5x + 2
The following data represent a random sample for the ages of 41 players in a baseball league. Assume that the population is normally distributed with a standard deviation of 2.1 years. Use Excel to find the 98% confidence interval for the true mean age of players in this league. Round your answers to three decimal places and use ascending order.
Age
29
31
30
23
24
30
24
30
34
30
28
28
28
31
25
25
25
31
26
24
21
34
32
30
26
26
31
32
36
32
25
25
28
27
25
33
29
29
32
26
27
Provide your answer below: ( , )
The 98% confidence interval for the true mean age of players in this league
(27.152, 30.548)
To find the 98% confidence interval for the true mean age of players in this baseball league using Excel, follow these steps:
1. Enter the age data in a column, for example, from A1 to A41.
2. Calculate the sample mean using the formula "=AVERAGE(A1:A41)" in any empty cell.
3. Calculate the standard error using the formula "=(2.1/SQRT(COUNT(A1:A41))" in another empty cell.
4. Find the critical value (z-score) for a 98% confidence interval using the formula "=NORM.S.INV(1-(1-0.98)/2)" in another empty cell.
5. Calculate the margin of error using the formula "z_score * standard_error" in another empty cell.
6. Find the lower confidence limit using the formula "=sample_mean - margin_of_error" in another empty cell.
7. Find the upper confidence interval limit using the formula "= sample mean + margin of error" in another empty cell.
After following these steps, you should have the lower and upper limits of the 98% confidence interval. Round the results to three decimal places and use ascending order.
Your answer:(27.152, 30.548)
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Help me right now please!!!!❤️☺️☺️ I don’t know if it’s 19!!!
suppose that f is defined by a power series that has a positive radius of convergence: f (x) = a0 a1x a2x2 a3x3 a4x4 ..
If f is defined by a power series that has a positive radius of convergence, then this means that the power series converges to f for all values of x within a certain interval centered at 0. Specifically, the radius of convergence R tells us the size of this interval.
To see why this is the case, let's recall the definition of a power series:
f(x) = a0 + a1x + a2x^2 + a3x^3 + a4x^4 + ...
This expression tells us that the function f can be written as an infinite sum of terms involving powers of x. The coefficients a0, a1, a2, etc. are constants that determine the size of each term. The important thing to note here is that this series only converges if the limit of its terms as n approaches infinity goes to zero. Now, the radius of convergence R can be calculated using the ratio test:
R = 1/lim sup(|an|^(1/n)) as n approaches infinity
This formula tells us that R is the inverse of the limit superior of the nth root of the absolute value of the coefficients. Intuitively, this means that if the coefficients of the power series grow too quickly, then the series will not converge for any value of x. On the other hand, if the coefficients grow very slowly, then the series will converge for a wide range of values of x. So, if f has a positive radius of convergence, this means that the limit superior of the nth root of the coefficients goes to zero, which implies that the series converges for all values of x within an interval of size 2R centered at 0. In other words, we can plug in any value of x within this interval and get a well-defined value for f(x).
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5c) The scale of a map says that 4 cm represents 5 km. What is the actual
number of kilometers that is represented by 5 centimeters on the map?
(these are the options)
-6.25 cm
-5 cm
-3.2 cm
-6.25 km
-5 km
-3.2 km
● Answer:
6.25 km
● Step-by-step explanation:
Hi there !
4 cm ........... 5 km
5 cm ........... x km
x = 5cm×5km/4cm
= 25km/4
= 6.25 km
Good luck !
The radius of a circle is 15 cm, what is the area of this circle?
Answer:
706.86
Step-by-step explanation:
have a good day! :D
In the last couple of months, Jack has seen rabbits in his backyard on
12 days and no rabbits on 36 days. What is the approximate probability
that he will see rabbits in his yard tomorrow?
Answer:
12/36 can be simplifed to 1/3 so he has a 1/3's chance of seeing them or 33%
Step-by-step explanation:
:)
Answer:
1/4
Step-by-step explanation:
Does molar mass depend on pressure and temperature?
No, molar mass is a constant and does not depend on pressure or temperature.
Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.
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What is -1/2 times 1/4-3/8?
Answer:
The answer is -0.5
Step-by-step explanation:
Thaddeus wants to attend a sports camp this spring that costs $180.00 for the week. He rakes leaves during the fall and earns
$58.35. He shovels snow during the winter and earns $82.80. How much more money does Thaddeus need to earn to pay for
the sports camp? Write your answer as a decimal.
Thaddeus needs to earn $
Answer:
$38.35
Step-by-step explanation:
take $180 subtract $58.35 that will leave you with $125.65 then subtract $82.80 then that will leave you with $38.35
of the following, the capability index that is most desirable is a 1.00 0.75 b. 1.50 d. 0.30
The capability index that is most desirable is a. 1.00.
The capability index, often represented by Cp, is a measure of the capability of a process to consistently produce output within specified limits. It compares the spread of the process output to the width of the specification limits.
A capability index of 1.00 indicates that the process spread is equal to the width of the specification limits, indicating a high level of capability. This means that the process is able to consistently produce output that meets the desired specifications without significant deviation.
On the other hand, a capability index below 1.00 indicates that the process spread is wider than the specification limits, indicating a lower level of capability. In such cases, the process may have difficulty consistently meeting the desired specifications.
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What is the value of h in the equation 2h + 5 = 11?
Answer:
3
Step-by-step explanation:
2h+5=11
2h=11-5
2h=6
Both side divided by 2
h=6
Answer:
h = 3
Step-by-step explanation:
2h + 5 = 11
2h + 5 - 5 = 11 - 5
2h = 6
2h ÷ 2 = 6 ÷ 2
h = 3
Required information Note this is a multi-part problem. That means the parts must be worked in order (a first, then b, then c, and so on). Furthermore, if you check your answer on one part, it will count as a check for all parts of the problem. Therefore, work all parts of the problem (in order!), then check your answer. Rework all missed parts before using your next "check my answer". Let X=5 L 40' and Y = 20 L -30° The polar form of the quantity (X + Y)X* is Oy Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.
The polar form of the quantity will be 100.83 L 76.47°.
Given X = 5 L 40'andY = 20 L -30°(X + Y)X* .The expression (X + Y)X* can be simplified as: X * X + Y * X* =X² + Y * X* .Now, we need to find the polar form of the quantity (X + Y)X*.That is, we need to representX² + Y * X* in polar form. By using rectangular to polar conversion, we can convert the above expression to polar form.
Using the formula:
r² = x² + y²... Equation 1
θ = tan⁻¹(y / x)... Eq 2 (Where,x = real part of the expression)
x = X² = 5² = 25... Eq 3 (y = imaginary part of the expression)
y = Y * X*... Eq 4
Therefore, Y
Y * X* = 20 L -30° * 5 L 40'20 L -30° * 5 L 40' = 100 L 10°... Eq5
y = 100 L 10°.
Substituting the values of x and y in equations 1 and 2, we get:r² = x² + y²r² = 25² + 100²r² = 10025 + 100²r = 100.83θ = tan⁻¹(y / x)θ = tan⁻¹(100 L 10° / 25)θ = tan⁻¹(4 L 10°)θ = 76.47°
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Find the area of a circle with diameter of 8cm use the value 3.14 for pie and do not round awnser
The area of a circle with a radius r is given by the following formula:
\(A=\pi\cdot r^2\)In this case we know that the diameter is 8cm which means that its radius is 4cm. Using 3.14 for pie we get:
\(\begin{gathered} A=3.14\cdot(4cm)^2 \\ A=3.14\cdot16cm^2=50.24cm^2 \end{gathered}\)AnswerThen the answer is 50.24 cm².
A manufacturer of a traditional medicine claims that the medicine is 90% effective in relieving backache for a period of eight hours. In a sample of 200 people who have backache, the medicine provided relief for 160 people. Test the manufacturer's claim at 1% significance level
The critical value of 2.576. If |z| > 2.576, reject the null hypothesis; otherwise, fail to reject the null hypothesis.
To test the manufacturer's claim at a 1% significance level, we need to perform a hypothesis test. Let's define the null and alternative hypotheses:
Null hypothesis (H₀): The medicine is 90% effective in relieving backache.
H₀: p = 0.9
Alternative hypothesis (H₁): The medicine is not 90% effective in relieving backache.
H₁: p ≠ 0.9
Where p represents the true proportion of people who experience relief from backache after taking the medicine.
To conduct the hypothesis test, we will use the sample proportion and perform a z-test.
Calculate the sample proportion:
p = x/n
where x is the number of people who experienced relief (160) and n is the sample size (200).
p= 160/200 = 0.8
Calculate the standard error:
SE = √(p(1 - p)/n)
SE = √((0.8 * (1 - 0.8))/200)
Calculate the test statistic (z-score):
z = (p - p₀) / SE
where p₀ is the hypothesized proportion (0.9 in this case).
z = (0.8 - 0.9) / SE
Determine the critical value for a two-tailed test at a 1% significance level.
Since we have a two-tailed test at a 1% significance level, the critical value will be z* = ±2.576 (obtained from a standard normal distribution table or calculator).
Compare the absolute value of the test statistic to the critical value to make a decision:
If the absolute value of the test statistic is greater than the critical value (|z| > z*), we reject the null hypothesis.
If the absolute value of the test statistic is less than or equal to the critical value (|z| ≤ z*), we fail to reject the null hypothesis.
Substituting the values into the equation, we can determine the test statistic and compare it to the critical value.
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Solve the problem
X/27=4/9
X=___
To solve for X, we can cross-multiply as follows:
X/27 = 4/9
Cross-multiplying:
9X = 4 * 27
Simplifying:
9X = 108
Dividing both sides by 9:
X = 12
Therefore, X = 12.
Seven times a number is 12 less than thirteen times the same number. Find the number.
Answer:
number is 2
Step-by-step explanation:
let the number be n then 7 times the number is 7n and 12 less than 13 times the number is 13n - 12
equating the 2 expressions
7n = 13n - 12 ( subtract 13n from both sides )
- 6n = - 12 ( divide both sides by - 6 )
n = 2
that is the number n is 2
The answer is:
the number is 2
Work/explanation:
I am going to start by letting b be the number.
Seven times b is 7b.
13 times the same number means 13 times b: 13b
12 less than 13b: 13b - 12
Thus, the equation is 7b = 13b - 12
Now to solve!
Add 12 on each side
7b + 12 = 13b
Subtract 7b on each side
12 = 13b - 7b
12 = 6b
Divide each side by 12
2 = b
Hence, 2 is the number.Jennifer Davis deposited \$2,600 today in an account paying 7 percent interest annually. (Round intermediate calculotions to 8 decimal places, e9.251251245) What would be the simple interest eamed on
Jennifer Davis will earn $910.00 in simple interest on her investment.
The principal amount is $2,600.
The interest rate is 7% per year.
The time period is 5 years.
To calculate the simple interest, we can use the following formula:
simple interest = principal * interest rate * time
Plugging in the values for the principal, interest rate, and time period, we get:
simple interest = 2600 * 0.07 * 5 = 910
Therefore, Jennifer Davis will earn $910.00 in simple interest on her investment in 5 years.
In words, the simple interest is calculated by multiplying the principal amount by the interest rate and the time period. In this case, the principal amount is $2,600, the interest rate is 7%, and the time period is 5 years. Therefore, the simple interest is $910.00.
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The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possible numbers.
The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.
A way of writing numbers is known as a number system.
There are the following number systems:
Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.
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Drag the cards to create a number that matches these rules.
The number ends in the tenths place.
8 is the nearest one when rounding
100PT! ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by ASA? (You can choose more than one!)
Opposite angles are congruent.
The diagonals bisect each other.
All sides are congruent.
Opposite sides are parallel.
To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:
1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."
\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
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Answer:
To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:
1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.
2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.
So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."
Step-by-step explanation:
How should I solve this problem? I need steps..
Refer to the photos taken.
Don’t know how to do it
what type of solutions does this equation have
Answer:
two imaginary numbers
Step-by-step explanation:
Solve the following proportion for x.
X/13 = 17/7
Round your answer to the nearest tenth.
Answer:
31.6
Step-by-step explanation:
x / 13 = 17 / 7
7x = 221
x = 221 / 7
x = ~31.6
Marcus went to a football game with $55. He bought his ticket at the door, 1 point
a pretzel for $3, ice cream for $5, and a bottle of water for $2. He decided
to buy a team hat for $20. When he left he had $3 left in his pocket. How
much did the ticket cost? *
Answer
the ticket was 22 dollars
Step-by-step explanation:
15. Every year in Delaware there is a contest where people create cannons and catapults designed
to launch pumpkins as far in the air as possible. The equation y = 12 + 105x-16x² can be
used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the
pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How
many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the
ground, its height is 0 feet.)
(1 point)
To find the maximum height that the pumpkin reaches, we can set the derivative of the equation equal to 0 and solve for x. The derivative of y = 12 + 105x - 16x^2 is y' = 105 - 32x. Setting y' = 0, we get:
0 = 105 - 32x
32x = 105
x = 105/32
The maximum height is reached when x = 105/32 seconds. To find the maximum height, we can plug this value of x into the original equation:
y = 12 + 105(105/32) - 16(105/32)^2
= 12 + 1053.28125 - 163.28125^2
= 12 + 342.8125 - 106.25
= 248.5625
The maximum height that the pumpkin reaches is 248.5625 feet.
To find the number of seconds it takes for the pumpkin to hit the ground (when its height is 0), we can set y = 0 in the original equation and solve for x:
0 = 12 + 105x - 16x^2
16x^2 - 105x + 12 = 0
(4x - 3)(4x - 4) = 0
The solutions to this equation are x = 3/4 and x = 4/4. The second solution is extraneous, since it represents the time at which the pumpkin was launched (when x=0, y would be 12 feet, not 0 feet). Therefore, the number of seconds it takes for the pumpkin to hit the ground is x = 3/4 seconds.
URGENT PLEASE HELP WILL GIVE BRAINLIEST!!!!
b. The same manufacturer plans to package the ball along with some other gear kids can use to get started playing basketball. The box that will hold everything will be 10 inches long, 12 inches wide, and 10 inches tall. The packaging department needs to know how many square inches of cardboard will be needed to create each box. How much will it need per box?
Answer:
1200
Step-by-step explanation:
10 x 10 x 12
10x10 +100x 12
Answer:
1200 cubic inches.
Step-by-step explanation: