Answer:
40 baskets
Step-by-step explanation:
Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.
Answer:
the angle shown is a straight angle value of which is equal to 180°
3x + 30. 6 = 180
3x = 180 - 30. 6
3x = 149.4
<h3>x = 49.8</h3>
Answer:
The test statistic is ![t = 3.744](https://tex.z-dn.net/?f=t%20%20%3D%203.744)
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 140](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20140)
The The level of significance is ![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%200.05)
The sample size is n = 18
The null hypothesis is ![H_o : \mu = 140](https://tex.z-dn.net/?f=H_o%20%3A%20%20%5Cmu%20%3D%20%20140)
The alternative hypothesis is ![H_a : \mu > 140](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%3E%20140)
The sample mean is ![\= x = 155](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%20155)
The standard deviation is ![\sigma = 17](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%2017)
Generally the test statistics is mathematically represented as
![t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }](https://tex.z-dn.net/?f=t%20%20%3D%20%20%5Cfrac%7B%5C%3D%20x%20%20-%20%5Cmu%20%7D%7B%20%5Cfrac%7B%20%5Csigma%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%7D)
substituting values
![t = \frac{ 155 - 140 }{ \frac{ 17 }{ \sqrt{18} } }](https://tex.z-dn.net/?f=t%20%20%3D%20%20%5Cfrac%7B%20155%20%20-%20140%20%7D%7B%20%5Cfrac%7B%2017%20%7D%7B%20%5Csqrt%7B18%7D%20%7D%20%7D)
![t = 3.744](https://tex.z-dn.net/?f=t%20%20%3D%203.744)
Answer:
V = PI*r2h
In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.
Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.
V = pi * r2 * h
= pi * 32 * 5
= pi * 9 * 5
= 3.14 * 45
= 141.37 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.
Using a system of equations, it is found that David is 12 years old.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
- Variable z: Rebecca's age.
David is three times younger than the dad and twice as old as Rebecca, then:
Rebecca is 30 years younger than the dad, hence:
z = y - 30.
Then, since x = 2z and z = y - 30 and y = 3x, we solve for x to find David's age.
x = 2(y - 30)
x = 2(3x - 30)
x = 6x - 60
5x = 60
x = 60/5
x = 12.
David is 12 years old.
More can be learned about a system of equations at brainly.com/question/24342899
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