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3 years ago

Solve. −35x+15>720 Drag and drop a number or symbol into each box to show the solution.

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

x< -141/7 (ONLY 141 IS NEGATIVE, NOT THE FRACTION IN GENERAL.)

Step-by-step explanation:

Let's solve your inequality step-by-step.

−35x+15>720

Step 1: Subtract 15 from both sides.

−35x+15−15>720−15

−35x>705

Step 2: Divide both sides to get the answer of x< -141/7

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The ratio of boys to girls in a school is 5:4. if there are 500 girls , how many boys are there in the school?

lana [24]

Answer:

The number of boys in the school is;

$625$

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

$5\colon4$

And there are 500 girls in the school.

The number of boys in the school will be;

$\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}$

Therefore, the number of boys in the school is;

$625$

3 0

1 year ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

3 years ago

10/7=x/5 proportion

LUCKY_DIMON [66]

$\boxed{\boxed{\text{ if } \dfrac{a}{b}=\dfrac{c}{d} \text{ then }a\times d=b\times c}}$

$\dfrac{10}{7}=\dfrac{x}{5}\\\\10\times5=7\times x\\50=7x\\7x=50\\\\\boxed{x=\dfrac{50}{7}}$

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3 years ago

Whoever gets it correct first gets brainliest

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