What is the simplified expression for (2a2b)4

AREA OF CIRCLES HELP PLS

finlep [7]

Answer:

432ft^2

Step-by-step explanation:

24/2=12

3 x 12 x 12=432

3 0

3 years ago

Read 2 more answers

The two triangles are similar. Create and solve proportions (two of them) to find the missing side measures. Drag and drop your

lilavasa [31]

Answer:

4

Step-by-step explanation:

the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.

5 0

3 years ago

The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt

AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average height = 175 cm

$\sigma$ = population standard deviation = 20 cm

n = sample of men = 40

Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ]

= [ $175-1.96 \times }{\frac{20}{\sqrt{40} } }$ , $175+1.96 \times }{\frac{20}{\sqrt{40} } }$ ]

= [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.

3 0

3 years ago

A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter f

nikklg [1K]

Answer:

C5

Step-by-step explanation: 10 x 2 = 20 so you add the 2 to the other one and get 4. Then half of 10 is 5 and half of 2 is 1, so add 1 to 4 and your answer is 5.

10x2= 20 +5= 25 Answer:5

5 0

3 years ago

Salid bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If salid paid with a

ch4aika [34]

To work this out, you have to figure out how much Salid paid. This equals $61.25 as you have to multiply the cost and how much he wanted. Next, you have to subtract this from $100. This equals $38.75 (answer)
I hope this helped!! :))

4 0

3 years ago