Write an inequality to represent the real-world problem. Then complete the statements.

What is root 36/49? A 18/25 B 20/27 C 6/7 D 8/9

saveliy_v [14]

Answer:

6/7

Step-by-step explanation:

You need to find what number times itself gets you those two numbers. 6*6=36, 7*7=49.

6 0

3 years ago

Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of offi

Pani-rosa [81]

Answer:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

Step-by-step explanation:

$p_1$ represent the real population proportion for 1

$\hat p_1 =\frac{22}{165}=0.13$ represent the estimated proportion for 1

$n_1=165$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =\frac{14}{140}=0.10$ represent the estimated proportion for 2

$n_2=140$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 99% confidence interval the significance is $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , and the critical value using the normal standard distribution.

$z_{\alpha/2}=2.58$

Replacing we got:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

8 0

3 years ago

ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ ᴀʀᴇᴀ ᴏꜰ ᴀ ʙᴀꜱᴇʙᴀʟʟ ᴡɪᴛʜ ᴀ 3 ɪɴᴄʜ ᴅɪᴀᴍᴇᴛᴇʀ.

Tems11 [23]

Answer:

As Per Provided Information

We have to use π = 3.14

Diameter of baseball is 3 inch

So, Radius of Baseball will be

Radius = Diameter/2

Radius = 3/2 inch

Radius = 1.5 inch

we have been asked to determine the surface area of given baseball .

Using Formulae 

 $\boxed {\bf \: Surface \: Area_{(Baseball)} \: = 4 \pi {r}^{2} }$ 

substituting the value and let's solve it

$\longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = 4 \times 3.14 \times {1.5}^{2} \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 4 \times 3.14 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 12.56 \times 2.25 \\ \\ \\ \longrightarrow\tt \:Surface \: Area_{(Baseball)} \: = \: 28.26 \: {inch}^{2}$

Therefore,

Surface Area of baseball is 28.26 sq. inch .

So, your answer is 28.26 sq.in

4 0

3 years ago

WILL MARK BRAINLIEST!!

satela [25.4K]

Answer:

75%

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please help ASAP! Will give brainliest! Please read the question then answer correctly! No guessing.

tangare [24]

Answer:

B. $424.000

Step-by-step explanation:

The function a(t)=424(1+0.06)

5 0

3 years ago