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Vera_Pavlovna
23 days ago
10

The lines below are perpendicular. If the slope of the green line is ą, what is

Mathematics
1 answer:
Zina [12.3K]23 days ago
6 0
See below If I remember correctly, when two slopes are perpendicular, one should be the negative reciprocal of the other, so I believe your answer needs to be B. -\frac{2}{3} Hope this helps
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Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles,
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Response:

The correct choice is option C

The proportion of green marbles to red marbles is 3: 1

Step-by-step breakdown:

According to the problem statement:

A bag holds 44 marbles, comprising both red and green ones.

⇒Total marbles = 44

If it includes 11 red marbles.

Then;

Green marbles = Total marbles - red marbles.

By substituting the values provided,

Green marbles = 44 - 11 = 33

We are tasked with determining the ratio of green marbles to red marbles.

\frac{\text{Green marbles}}{\text{Red marbles}} = \frac{33}{11} = \frac{3}{1} = 3: 1

Consequently, the ratio of green to red marbles is 3: 1

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22 days ago
What are three different ways to make the number 15,638 with only hundreds, tens, and ones?
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I think it’s 156 hundreds, 3 tens, and 8 ones.
3 0
2 months ago
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Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x
zzz [12365]

Answer:

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Step-by-step explanation:

In order to simplify the expression \frac{3x^{-6}y^{-3} }{15x^{2}y^{10} } where x ≠ 0, y ≠ 0, we must work through the given expression.

\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

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1 month ago
*TAXES MULTIPLE CHOICE* Zurab works for a salary of $1,986 per month. He has federal income tax withheld at the rate of 15 perce
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To find the answer, subtract the total percentage of 24.65% and $48 from 1986, resulting in the final value.
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2 months ago
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Mike runs for the president of the student government and is interested to know whether the proportion of the student body in fa
zzz [12365]

Answer:

We conclude that less than or equal to 50% of the student body supports him significantly.

Step-by-step explanation:

Mike, while campaigning for the student government presidency, is keen to determine if more than 50% of the student body supports him.

A random sample of 100 students was surveyed, with 55 expressing support for Mike.

Let p = the proportion of students backing Mike.

Thus, Null Hypothesis, H_0: p \leq 50% {indicating that the proportion of supporters among the student body is significantly less than or equal to 50%}

Alternate Hypothesis, H_A: p > 50% {indicating that the proportion of supporters among the student body is significantly more than 50%}

The test statistics to be utilized here One-sample z proportion statistics;

T.S. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } ~ N(0,1)

where, \hat p = the sampled proportion in favor of Mike = \frac{55}{100} = 0.55

n = number of sampled students = 100

Therefore, test statistics = \frac{0.55-0.50}{\sqrt{\frac{0.55(1-0.55)}{100} } }

= 1.01

The z test statistic is 1.01.

At a significance level of 0.05, the z table provides a critical value of 1.645 for a right-tailed test.

Given that our test statistic falls below the critical value of z (1.01 < 1.645), we lack sufficient evidence to reject the null hypothesis as it remains outside the rejection region, leading to failure to reject our null hypothesis.

As a result, we conclude that less than or equal to 50% of the student body is in favor of him or the proportion supporting Mike is not significantly greater than 50%.

4 0
1 month ago
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