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3 years ago

7

Will give brainliest

1 answer:

JulsSmile [24]3 years ago

5 0

Answer: C

Step-by-step explanation:

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Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.

garik1379 [7]

$\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}$

7 0

2 years ago

By exercising regularly, Abby was able to improve her running right this year. Last year, Abby ran a mile in 12 minutes. This ye

OleMash [197]

Answer:

She decreased her running time at a rate of 16.67%

Step-by-step explanation:

In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.

Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%

We input the values and proceed as follows:

Percentage decrease = (10-12)/12 * 100

-2/12 * 100/1 = -1/6 * 100 = -16.67%

Since it’s a decrease, we just simply say that her running time decrease by 16.67%

4 0

3 years ago

A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time student

Butoxors [25]

Answer: $(21.541,\ 23.059)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : $n=240$ , which is a large sample , so we apply z-test .

Sample mean : $\overline{x}=22.3$

Standard deviation : $\sigma= 6$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.960$

Now, a confidence interval at the 95% level of confidence will be :-

$22.3\pm(1.960)\dfrac{6}{\sqrt{240}}\\\\\approx22.3\pm0.759\\\\=(22.3-0.759,\ 22.3+0.759)\\\\=(21.541,\ 23.059)$

7 0

3 years ago

i’m order for a graph to be proportional it must cross through the origin. A.true B.false

Gelneren [198K]

Answer:

True

Step-by-step explanation:

Key idea: the graph of a proportional relationship is a straight line through the origin.

8 0

3 years ago

Read 2 more answers

What is the sum of the infinite series: 1-4+16-64+. . .

Andrei [34K]

Step-by-step explanation:

I think we cannot find the sum because it will continue on so the series is multiply by 4

5 0

3 years ago