George ran 1000 yards in gym class. how many kilometers did he run?

Artist 52 [7]

Answer:

Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).

Step-by-step explanation:

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3 0

2 years ago

A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. a) E

polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) $\alpha =1-0.98=0.02$

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

$p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }$

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and $z_{\alpha/2}$ is the z-value that let a probability of $\alpha/2$ on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, $\alpha$ by 0.02 and $z_{\alpha/2}$ by 2.33

Where p' and $\alpha$ are calculated as:

$p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02$

So, replacing the values we get:

$0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438$

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence $1-\alpha$ is equal to 98%

It means the the level of significance $\alpha$ is:

$\alpha =1-0.98=0.02$

4 0

2 years ago

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

nirvana33 [79]

Sinα=h/L where h=height, L=string length...

h=Lsinα so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft

5 0

3 years ago

Read 2 more answers

Simplify 6(x + y) + (x - y). 6x 7x 7x + 6y 7x + 5y

poizon [28]

6(x + y) + (x - y)

<em>use distributive property</em>

= 6x + 6y + x - y

<em>combine like terms</em>

= (6x + x) + (6y - y)

8 0

3 years ago

Read 2 more answers

How to solve this and what’s the final answer

dolphi86 [110]

Answer:

729 m³

Step-by-step explanation:

Volume of a cube (or a rectangular prism) formula:

lwh

l is length

w is width

h is height

Here, the length, width, and height measures 9 m.

So

9 × 9 × 9 or 9³ = 729

6 0

3 years ago