Find the area of the shaded region

Help I will be marking brainliest!!!! A. 55.33 B. 156.16 C. 72 D. 61.16

Ksju [112]

Answer:

do RN/RM first which will be 95/73 which is 1.30 and use this to multiply 47 which is 47*1.3 61.1

ANSWER = D.

I first got the variable of 1.3 which is multiply that by RM to get RN and then useing that logic you multiply 1.3 by MP to get QN

MARK ME BRAINLIEST

6 0

3 years ago

Test the claim that the mean GPA of night students is larger than 2 at the .025 significance level. The null and alternative hyp

exis [7]

Answer:

$H_0: \, \mu = 2$ .

$H_1:\, \mu > 2$ .

Test statistics: $z \approx 2.582$ .

Critical value: $z_{1 - 0.025} \approx 1.960$ .

Conclusion: reject the null hypothesis.

Step-by-step explanation:

The claim is that the mean $\mu$ is greater than $2$ . This claim should be reflected in the alternative hypothesis:

$H_1:\, \mu > 2$ .

The corresponding null hypothesis would be:

$H_0:\, \mu = 2$ .

In this setup, the null hypothesis $H_0:\, \mu = 2$ suggests that $\mu_0 = 2$ should be the true population mean of GPA.

However, the alternative hypothesis $H_1:\, \mu > 2$ does not agree; this hypothesis suggests that the real population mean should be greater than $\mu_0= 2$ .

One way to test this pair of hypotheses is to sample the population. Assume that the population mean is indeed $\mu_0 = 2$ (i.e., the null hypothesis is true.) How likely would the sample (sample mean $\overline{X} = 2.02$ with sample standard deviation $s = 0.06$ ) be observed in this hypothetical population?

Let $\sigma$ denote the population standard deviation.

Given the large sample size $n = 60$ , the population standard deviation should be approximately equal to that of the sample:

$\sigma \approx s = 0.06$ .

Also because of the large sample size, the central limit theorem implies that $Z= \displaystyle \frac{\overline{X} - \mu_0}{\sigma / \sqrt{n}}$ should be close to a standard normal random variable. Use a $Z$ -test.

Given the observation of $\overline{X} = 2.02$ with sample standard deviation $s = 0.06$ :

$\begin{aligned}z_\text{observed}&= \frac{\overline{X} - \mu_0}{\sigma / \sqrt{n}} \\ &\approx \frac{\overline{X} - \mu_0}{s / \sqrt{n}} = \frac{2.02 - 2}{0.06 / \sqrt{60}} \approx 2.582\end{aligned}$ .

Because the alternative hypothesis suggests that the population mean is greater than $\mu_0 = 2$ , the null hypothesis should be rejected only if the sample mean is too big- not too small. Apply a one-sided right-tailed $z$ -test. The question requested a significant level of $0.025$ . Therefore, the critical value $z_{1 - 0.025}$ should ensure that $P( Z > z_{1 - 0.025}) = 0.025$ .

Look up an inverse $Z$ table. The $z_{1 - 0.025}$ that meets this requirement is $z_{1 - 0.025} \approx 1.960$ .

The $z$ -value observed from the sample is $z_\text{observed}\approx 2.582$ , which is greater than the critical value. In other words, the deviation of the sample from the mean in the null hypothesis is sufficient large, such that the null hypothesis needs to be rejected at this $0.025$ confidence level in favor of the alternative hypothesis.

3 0

3 years ago

50 Points

4vir4ik [10]

Answer:

313.24 min is the answer just check

6 0

3 years ago

Three monkey's walk into a motel on the Curious George Hotel and ask for a room. The desk clerk says a room costs 30 bananas, so

lions [1.4K]

Step 1

Given;

$\begin{gathered} Cost\text{ for a room= \$30} \\ Each\text{ monkey pays 30 bananas} \\ Clerk\text{ ask bell boy to refund 5 bananas} \\ Bell\text{ boy refunds 3 bananas} \\ Bell\text{ boy keeps 2 bananas} \end{gathered}$

Required; To determine where 1 banana went if 29 bananas are accounted for.

Step 2

Here is the break down; the balance should be like this;

$\begin{gathered} 25\text{ bananas-room} \\ 3\text{ banans\lparen3}\times1\text{ banana\rparen- back to monkeys} \\ 2\text{ bananas- Bell boy} \\ Total-30\text{ bananas} \end{gathered}$

Hence, there is no extra 1 banana, The monkeys spent 27 bananas of which the bellboy took 2 bananas and 25 bananas went to the room, and 3 bananas where returned to them. A total of 30 bananas

7 0

1 year ago

PLEASE HELP This table contains an Arithmetic Sequence. Find the missing terms in the table.

damaskus [11]

2=^? Zlon square right

7 0

2 years ago