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3 years ago

HELP WILL GIVE BRAINLIEST QUICK

Mathematics

1 answer:

valentina_108 [34]3 years ago

3 0

20 miles an hour is a slope of 20 on the miles versus hours graph.

<em>Graph equivalent ratios following a pattern of moving right 1 and up 2 from the original point. </em>

There's no grid shown. Assuming the ticks are 1 each on x and y, right one up two gives a slope of 2, not 20; check that it doesn't say "up 20". If it does check it, as written don't.

<em>Draw a line from the origin that connects all the points. </em>

Is this one of the checkables? If so CHECK ME. The line will have a constant slope of 20 mph.

Every point on the line is an equivalent ratio.

CHECK ME. Is this different than the last one? Yes, each point on the line has a constant ratio, it's 20 miles per hour.

As the line goes up, the speed increases.

The speed is the slope of the line. As we go along a line with constant slope, the speed doesn't change. Don't check.

Alexander can pick any ratio of miles per hour on the line and he will be biking at 20 mph.

Any pair (h,m) on the line through (0,0) and (1,20) will always have m/h=20mph. He can't really pick any ratio; it's always equivalent to 20mph. But as long as he picks from this line he'll be biking at 20mph, so let's CHECK THIS.

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(3/1/2 - 9/3/4) / (-2.5)=

Alex73 [517]

<h3>Answer :</h3>

$\: \: \:$

$= \rm \large \frac{3 \frac{1}{2} - 9 \frac{3}{4} }{ - 2.5}$

$\: \:$

$= \rm \large \frac{ \frac{7}{2} - 9 \frac{3}{4} }{ - 2.5}$

$\: \:$

$= \rm \large \: \frac{ \frac{7}{2} - \frac{39}{4} }{ - 2.5}$

$\: \:$

$= \rm \large \: \frac{ \frac{25}{4} }{ - 2.5}$

$\: \: \:$

$= \rm \large \: \frac{5}{2}$

$\: \: \:$

6 0

3 years ago

linda saved 2 ten-dollar bills, 4 five- dollar bills, and 15 one-dollar bills, Harry saved 16 more than linda how much does harr

telo118 [61]

Harry has 71 becasue its 20 + 20 + 15 + 16

7 0

3 years ago

Read 2 more answers

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

O TRIGONOMETRIC FUNCTIONS

grandymaker [24]

Answer:

r = 22.9 in.

Step-by-step explanation:

Central angle in radians, ∅ = π/4

Length of arc, S = 18 in.

radius (r) = ?

Length of arc, C = r∅

Plug in the values and find r

18 = r*π/4

18 = (πr)/4

Multiply both sides by 4

4*18 = πr

72 = πr

Divide both sides by π

72/π = r

r = 22.9183118

r = 22.9 in. (Nearest tenth)

5 0

3 years ago

A map is drawn using a scale of 2 cm : 75 miles. Two cities are 325 miles

NeX [460]

Answer:

The answer is 8.67

Step-by-step explanation:

Divide the distance by 75 since it's the actual distance of the scale factor

325/75=4.33

Multiply the answer by the scale factor

4.33×2=8.67

4 0

3 years ago