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2 years ago

Picture is provided, please help!

Mathematics

1 answer:

pickupchik [31]2 years ago

5 0

Answer:

Option C: b is parallel which is; y = ½x - 1

Step-by-step explanation:

We know that if the slope of a line is m, then the slope of the line that is perpendicular to it would have be; -1/m.

In this question, m = ½

Thus, the slope of the line that is perpendicular to it is; -1/(½) = -2

However, to find the slope of the line parallel to it would mean that the value of m which is the original slope will remain the same. Original slope = ½, thus the only option with slope as ½ is option C where b is parallel with the equation; y = ½x - 1

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I need help plz will give brainliest

lesya [120]

Answer:

$10,000

Step-by-step explanation:

Cross multiply and divide by 55.

Hope this helps!

5 0

2 years ago

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Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were:

Sunny_sXe [5.5K]

Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

Number of observations, n = 10

Mean of the data is

$Mean=\dfrac{\sum x}{n}$

$Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}$

$Mean=\dfrac{339}{10}$

$Mean=33.9$

Formula for mean deviation is

$\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}$

$\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2$

$\text{Mean deviation}=\dfrac{41.2}{10}$

$\text{Mean deviation}=4.12$

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

8 0

3 years ago

Read 2 more answers

Please answer the question attached, marking brainliest (serious answers only)

Mandarinka [93]

Step-by-step explanation:

By Exterior Angle Theorem,

81° + b = 117°.

=> b = 117° - 81° = 36°.

8 0

2 years ago

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A total of $228,000 will be evenly spent to renovate 24 apartments. If the first 10 apartments have been completed and paid for,

tigry1 [53]

Step-by-step explanation:

Step 1: Calculate per apartment;

⟼ 228,000 ÷ 24

⟼ 9,500

Step 2: Multiply the price per apartment by 10;

⟼ 9,500 × 10

⟼ 95,000

Step 3: Substract the amount of 10 apartments from 24 apartments.

⟼ 228,000 - 95,000

⟼ 133,000

Therefore, $133,000 is still available for the remaining apartments.

5 0

2 years ago

The Wall Street Journal recently ran an article indicating differences in perception of sexual harassment on the job between men

Komok [63]

Answer:

Critical value: b. 2.33

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0$

The significance level is 0.01.

The sample 1 (women), of size n1=150 has a proportion of p1=0.62.

The sample 2 (men), of size n2=200 has a proportion of p2=0.24.

The difference between proportions is (p1-p2)=0.38.

$p_d=p_1-p_2=0.62-0.24=0.38$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{93+48}{150+200}=\dfrac{141}{350}=0.403$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.403*0.597}{150}+\dfrac{0.403*0.597}{200}}\\\\\\s_{p1-p2}=\sqrt{0.001604+0.001203}=\sqrt{0.002807}=0.053$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.38-0}{0.053}=\dfrac{0.38}{0.053}=7.17$

The critical value for a right-tailed test with a signficance level of 0.01 is zc=2.33 (see picture attached).

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

6 0

3 years ago