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kolbaska11 [484]

3 years ago

7

Christine earned a total of $60 for 10 hours of yard work. After doing a total of 128 hours of yard work, how much money will Ch

ristine have earned? Solve using unit rates.

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

768

Step-by-step explanation:

60 / 10 = 6

6 x 128 =768

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A study of recent records of car accidents revealed that average proportion of drivers who were distracted by their phones at th

aksik [14]

Answer:

At least 547 records need to be studied.

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 interval $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

And the margin of error is:

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

95% confidence interval

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

In this problem, we have that:

$M = 0.04, p = 0.35$

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

$0.04 = 1.96\sqrt{\frac{0.35*0.65}{n}}$

$0.04\sqrt{n} = 0.93486$

$\sqrt{n} = 23.37$

$n = 546.2275$

At least 547 records need to be studied.

6 0

3 years ago

Solve for the variable: p - 4.2 = 2. Show your work

djverab [1.8K]

Answer:

p=6.2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Please help me 33/2 + 3y/5 = 7y/10 + 15

8090 [49]

We are given with an equation in <em>variable y</em> and we need to solve for <em>y</em> . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

<em>Multiplying</em> both sides by <em>10</em> ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be <em>further written</em> as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing <em>6y </em>to<em> LHS</em> and <em>150</em> to<em> RHS </em>

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

8 0

2 years ago

Review of the basic stock list for your gift shop indicates that you need to reorder the following items: 12 glass vases @ $8.75

Aloiza [94]

Answer:

$291.00

hope it helps

Step-by-step explanation:

12 x 8.75 = 105

6 x 12.50 = 75

12 x 9.25 = 111

105 + 75 + 11 = 291

5 0

3 years ago

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If y varies inversely as the square root of x, what is the constant of proportionality if y = 16 when x = 4?

krek1111 [17]

The answer is D.64

Explain i have the test myself

5 0

2 years ago