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2 years ago

Use the distributive property to simplify the following expression -2(x+3)

Mathematics

1 answer:

lukranit [14]2 years ago

5 0

Answer:

-2x - 6

Step-by-step explanation:

-2(x + 3)

-2 · x = -2x

-2 · 3 = -6

-2x - 6

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Rewa Delta Union Rugby CEO has become concerned about the slow pace of the rugby games played in the current union rugby, fearin

ozzi

Answer:

We conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

Step-by-step explanation:

We are given that Before the meeting, the mean duration of the 15-sided rugby game time was 3 hours, 5 minutes, that is, 185 minutes.

A random sample of 36 of the 15-sided rugby games after the meeting showed a mean of 179 minutes with a standard deviation of 12 minutes.

Let $\mu$ = mean duration of 15-sided union rugby games after the meeting.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 185 minutes {means that the mean duration of 15-sided union rugby games has increased or remained same after the meeting}

Alternate Hypothesis, $H_A$ : $\mu$ < 185 minutes {means that the mean duration of 15-sided union rugby games has decreased after the meeting}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean duration of 15-sided union rugby games = 179 min

s = sample standard deviation = 12 minutes

n = sample of 15-sided rugby games = 36

So, the test statistics = $\frac{179-185}{\frac{12}{\sqrt{36} } }$ ~ $t_3_5$

= -3

The value of t test statistics is -3.

Now, at 1% significance level the t table gives critical value of -2.437 at 35 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -3 < -2.437, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

6 0

3 years ago

NEED HELP ASAP!! IF YOU ANSWER RIGHT YOU GET BRAINLIEST!!!!!

lana66690 [7]

Answer:

5x^2 +10x

Step-by-step explanation:

The area is the product of the height and width. For this exercise, it is convenient to compute the rectangle areas individually, then write their sum:

blue rectangle area = (5x)(x) = 5x^2

red rectangle area = (5x)(2) = 10x

Total area = 5x^2 +10x.

_____

If you start by writing an expression for the total area, expanding it requires you deal with the unlike terms separately anyway:

5x(x +2) = 5x(x) +5x(2) = 5x^2 +10x

7 0

3 years ago

Find the arc length of the semicircle. 7the grade

charle [14.2K]

so, is a semi-circle, half a circle, recall a circle has a total of 360°, so half of that will be 180°.

the diameter of that circle is 10, so its radius is half that, or 5.

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =180\\ r=5 \end{cases}\implies s=\cfrac{(180)(\pi )(5)}{180}\implies s=5\pi \stackrel{\pi =3.14}{\implies s=15.7}$

3 0

3 years ago

Please help

Aleks04 [339]

Answer:

Step-by-step explanation:

The distributive property:

a × (b + c) = a × b + a × c

105 = 35 × 3

35m = 35 × m

105 + 35m = 35 × 3 + 35 × m = 35 × (3 + m)

6 0

3 years ago

Ok really need hellp hear

Nuetrik [128]

Answer:

2/3 is the answer..

Step-by-step explanation:

becaue 2 holes then 2/3s is not filled trust me!!! plz give brainliest and a thanks!!!!

6 0

3 years ago