What is the perimeter of the garden will be the circumference of the four semi-circles with a diameter equal to 14 m.
During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were 75 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest thousandth.
A. 0.087
B. 0.867
C. 0.133
D. 1.154
Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B
What is RateRate can be defined as comparing two or more ratio with a standard value.
The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.
The rate is given as;
rate = 65 / 75
rate = 0.867
The rate of correct answers is 0.867
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Help meeeeeeeeeeeeeeeeeeee
Answer:
I believe it is y=1x or y=x
Answer:
14
Step-by-step explanation:
The constant of proportionality is the y number when x is 1. Look on the bottom of the graph. Find 1, so up to the line and then across left to the y axis. you will be at 14. This means that every time the x increases by 1, the increases by 14
Consider a t distribution with 8 degrees of freedom. Compute P...
P( − 1.29 < t < 1.29 ) is 0.7669
What is Statistics?The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.
It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
[ excel formula for probability from t value =t.dist.2t(1.29,8) ]
---------------------------------------------------
P(t>c)=0.05
P(t <c) = 1-0.05 = 0.95
df= 17
so, c = 1.740
[excel formula =t.inv(0.90,17) ]
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Pedro earns $94.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
please help me
Answer:
The answer is most likely A.
The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:
94.50/6 = 15.75
Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.
Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.
Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.
Option A is correct!
Step-by-step explanation:
Hope it helps! =D
The one-sample z test is: a. a hypothesis test b. used to test hypotheses c. concerning a single population with a known variance d. concerning at least one population e. concerning the variance in a population d. all of the above
Answer:
d. all of the above
Step-by-step explanation:
A one sample z test measures whether the mean of a population is greater, less or equal to a specific value. It is called one sampl z test since the standard normal distribution is used in calculation of critical values. It makes use of the null hypothesis and alternative hypothesis in determining if the mean is greater than or equal or less than the reference value. Variance and standard deviation is assumed to be known and at least one population is used
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
\(M_x = \frac{4 + 0 + 1 + 3}{4} = 2\)
\(M_y = \frac{5 + 2 + 1 + 4}{4} = 3\)
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
\(SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7\)
The SP for both numbers is of 7.
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a) Write - x² - 14x + 9 in the form -(x + c)² +d, where c and d are numbers. What are the values of c and d?
b) Hence, write down the coordinates of the turning point of the
curve y = -x² - 14x + 9.
a) The values of c and d are 7 and 58.
b) The coordinates of the turning point of the curve y = -x² - 14x + 9 is,
⇒ (- 7, 58)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The expression is,
⇒ - x² - 14x + 9
Now, Simplify the expression to change in the form of -(x + c)² + d as;
⇒ - x² - 14x + 9
⇒ - (x² + 14x) + 9
⇒ - (x² + 14x) - 49 + 49 + 9
⇒ - (x² + 14x + 49) + 49 + 9
⇒ - (x + 7)² + 58
By comparing, we get;
The values of c and d are,
⇒ c = 7
⇒ d = 58
And. To find the coordinates of the turning point of the curve
y = -x² - 14x + 9, we can differentiate it with respect to x and equate it to zero.
⇒ y = -x² - 14x + 9
⇒ dy/dx = - 2x - 14 = 0
⇒ - 2x = 14
⇒ x = - 7
And,
⇒ y = -x² - 14x + 9
⇒ y = - (-7)² - 14×- 7 + 9
⇒ y = - 49 + 98 + 9
⇒ y = 58
Thus, The coordinates of the turning point of the curve y = -x² - 14x + 9 is,
⇒ (- 7, 58)
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3/2*4/5 is equal or greater or less than 4/5
Answer:
Greater, because 3/2 times 4/5 is 1 1/5. A mixed number is bigger than a fraction.
Step-by-step explanation:
which of the following is equivalent to x^2 -5x +6
Hello!
x² - 5x + 6
= (x² - 2x) + (-3x + 6)
= x(x - 2) - 3(x - 2)
= (x - 2)(x - 3)
PLEASE HELP IN ONE MINUTE
Answer:
i wish i could help but its kind of over a minute but the answer is C
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 60% chance of hiring at least two candidates. There is only a 7% chance that it will not make any hires and a 10% chance that it will make all three hires.
a. What is the probability that the firm will make at least one hire? (Round your answer to 2 decimal places.)
b. Find the expected value and the standard deviation of the number of hires. (Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.)
f(x) = -3x-3 g(x) =2x^3+2
Find f(6) and g(-3)
usa pothomath (no me acuerdo como se escribe)
What is the maximum area of a rectangle with a perimeter of 100?; What is the breadth of a rectangle if its perimeter is 100 m and length is 35?; What is the length of rectangle whose breadth is 20 cm and perimeter is 100 cm?; How do you find the length of a rectangle if the perimeter and width is given?
The maximum area of a rectangle with a perimeter of 100 cm is 624 cm². The breadth of a rectangle with a perimeter of 100 m and a length of 35 m is 15 m. The length of a rectangle with a breadth of 20 cm and a perimeter of 100 cm is 30 cm. The length of a rectangle whose perimeter and width are given is calculated using the perimeter formula.
A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). In the rectangle, the opposite sides are equal and parallel.
Given the perimeter of the rectangle is 100 cm. Then,
\(\begin{aligned}P&=2(l+b)\\100&=2(l+b)\\(l+b)&=50\end{aligned}\)
We cannot consider length and breadth as equal because the length is always greater than the breadth in a rectangle. So assume the value of length as 26 cm and the breadth as 24 cm. Then, the area will be given as A = (a × b) square units.
Then, A = 26×24 = 624 cm². The answer is 624 cm².
b) Given the length of the rectangle is 35 m and the perimeter is 100 m. Then, breadth is
\(\begin{aligned}P&=2(l+b)\\100&=2(35+b)\\50&=35+b\\50-35&=b\\b&=15\end{aligned}\)
The answer is 15 m.
c) Given the breadth of the rectangle is 20 cm and the perimeter is 100 cm. Then, the length is
\(\begin{aligned}P&=2(l+b)\\100&=2(l+20)\\50&=20+l\\50-20&=l\\l&=30\end{aligned}\)
The answer is 30 cm.
d) By substituting the value of width or breadth and perimeter in the perimeter formula P=2(l+w), we can get the value of the length.
The complete question is -
What is the maximum area of a rectangle with a perimeter of 100 cm? What is the breadth of a rectangle if its perimeter is 100 m and its length is 35 m? What is the length of a rectangle whose breadth is 20 cm and whose perimeter is 100 cm? How do you find the length of a rectangle if the perimeter and width are given?
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simplify cos2theta(1+tan2theta)
Answer:
i think the answer of the question is 1
Which expression is equivalent to 7(4+7)? *
Answer:
28+49
Step-by-step explanation:
11, 20, 29, ...
Find the 48th term.
Answer:
434
Step-by-step explanation:
29-20=9
20-11=9
9*47=423
423+11=434
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
There are about 3.79 liters in 1 gallon. Kendra’s fish tank contains 100 gallons of salt water. About how many liters does the tank hold? Round your answer to the nearest whole number. Answer to get 60 points plus brainliest!
Answer:
379 liters
Step-by-step explanation:
3.79 L / gal * 100 gal = 379 Liters
Kendra's fish tank can hold 379 liters of water under the given conditions.
Given that,
There are about 3.79 liters in 1 gallon. Kendra’s fish tank contains 100 gallons of salt water.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3.79 liters = 1 gallon,
Now,
in the fish tank
100 gallon of water = 3.79× 100 liters
= 379 liters
Thus, Kendra's fish tank can hold 379 liters of water under the given conditions.
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How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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x+3x-4=2x+x+5
I don’t get this one need help
Answer:
x+3x-4=2x+x+5
Step-by-step explanation:
=4x-4= 3x+5
=4x-3x=5+4
= x=9. Done
. Calculate: (81)3/2
Calculate:
\(81^{\frac{3}{2}}\)The fractional exponent can be written as:
\(\sqrt[2]{81^3}=(\sqrt[]{81})^3\)The square root of 81 is 9, thus:
\((\sqrt[]{81})^3=9^3=729\)the product of 3 and the number c.
either 3 + c or 3 x c. hope this helps
Answer:
3c
Step-by-step explanation:
The product of a number and 3: Let's call this number c, so the product of this number and 3 would be 3c
Gambling is an issue of great concern to those involved in college athletics. Because of this concern, the National Collegiate Athletic Association (NCAA) surveyed randomly selected student athletes concerning their gambling-related behaviors. Of the 5594 Division I male athletes in the survey, 3547 reported participation in some gambling behavior. This includes playing cards, betting on games of skill, buying lottery tickets, betting on sports, and similar activities. A report of this study cited a 1% margin of error. The confidence level was not stated in the report. Use what you have learned to find the confidence level, assuming that the NCAA took an SRS.
The confidence level in this report of survey of student atheletes concerning their gambling-related behaviors is equals to 87.88%.
The confidence interval when calculated with the two tails methods then it can be used to test the two tail hypothesis for the same parameter provided that the confidence level. We have, National Collegiate Athletic Association (NCAA) take a survey of randomly selected student athletes concerning their gambling-related behaviors.
repoted participation of students, x = 3547
Sample size,n = 5594
Margin of error, E = 1% = 0.01
The sample proportion is a number of successes divided by the sample size, p-cap = 3547/5594
= 0.6341
The margin of error is for a confidence interval for a proportion, which is determined by using the following formula is
\(CL = Zα/₂ \sqrt{ \frac{ \hat{p} \: (1- \hat{p})}{n} }\)
= Zα/₂√(1 - 0.6341)0.6341/5594
= 0.0064 Zα/₂
This margin of error also has to be equal to 1% or
0.0064 Zα/₂ = 0.01
=> Zα/₂ = 0.01/0.0064 ~ 1.55
The confidence level is the probability of obtaining this value or less extreme, determine the probability using z- table,
P(-1.55< Z < 1.55) = P(Z < 1.55) - P(Z < -1.55)
= 0.9394 - 0.0606 = 0.8788 = 87.8
Thus the confidence level is 87.88%.
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I WILL GIVE 5 STARS AND LIKE PLEASE RESPOND WITH ACTUAL ANSWER
Account A has a simple annual interest rate of 2% and Account B has a simple annual interest rate of 2.5%. How much more interest do you earn per year when you deposit X dollars in Account B instead of Account A?
Answer:
Ok nice and easy, you earn about 0.04% more interest
Step-by-step explanation:
So lets do an easy number 100 for example.
100(0.2) = 2 2+100=102 102 is for A
100(0.025) = 2.5 100+2.5=102.5 102.5 is for B
Find the percentage change
new-old/old
102.5-102=0.5
0.5/102= 0.0043 (infinity)
Round it to a percent and the nearest percent
0.04%
We can do a check with a different number
1000(0.2)= 20 20+1000=1020
1000( 0.025)= 25 25+1000= 1025
find the percentage change
1025-1020=5
5/125= 1/25
1/25= 0.04
so there you go :)
solve the quadratic by factoring. show your work. x^2+8=-6x
Answer:
Step-by-step explanation:
x^2 + 6x + 8 = 0
(x + 4)(x + 2) = 0
x + 4 = 0
x = -4
x + 2 = 0
x = -2
The solution of quadratic equation by factoring is -4.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
x^2+8=-6x
Now,
To solve the quadratic by factoring, we need to first write it in the standard form: x2+6x+8=0
Then we need to find two numbers that multiply to 8 and add to 6. These are 2 and 4. So we can write the quadratic as: (x+2)(x+4)=0
To find the solutions, we need to set each factor equal to zero and solve for x: x+2=0⟹x=−2
x+4=0⟹x=−4
So the solutions are x=−2
and x=−4
Therefore, by quadratic equations the answer will be -4.
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Use the diagram to complete the statement.
The value of the side CB in the right angled triangle is found as 4√2 units.
Describe the Pythagorean theorem?The Pythagoras theorem, commonly known as the Pythagorean theorem, says that if a triangle has a right angle (90 degrees), the square of the hypotenuse equals equal to the sum of a squares of the opposite two sides.It describes the connection between the three sides of such a right-angled triangle.For the given question,
The diagram is given;
AB = 7 units.
AG = 3 units.
GB = 7 - 3 = 4 units.
GC = 4 units.
In right angled triangle GCB, apply Pythagorean theorem.
CB² = GB² + GC²
CB² = 4² + 4²
CB² = 2(4)²
Taking square root both side.
CB = 4√2
Thus, the value of the side CB in the right angled triangle is found as 4√2 units.
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help me guys...:(
prove that 0!=1
Answer:
0 + 1=0
hope this helps
have a good day :)
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
2√34, 6
The length of the third side is 2√34 + 6.
We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.
Let x be the length of the third side. Then we have:
2√34 + 6 > x
Subtracting 6 from both sides, we get:
2√34 > x - 6
Adding 6 to both sides, we get:
x < 2√34 + 6
Therefore, the length of the third side must be less than 2√34 + 6.
To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:
2√34 + 6 = x
If this is true, then the given sides can form a triangle.
Simplifying the equation, we get:
x = 2√34 + 6
The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.
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3(3x+5) =9
solve for x?
Answer: x= -2/3
Step-by-step explanation:
Answer:
x=-2/3
Step-by-step explanation:
divide both sides by 3 to get rid of the outside 3. this gives you 3x+5=3
subtract 5 from both sides and it gives you 3x=-2
Lastly, divide both sides by 3.
Your final answer is x=-2/3