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3 years ago

Find four consecutive multiples of 5 whose sum is 90

1 answer:

3 0

M₅+(M₅+5)+(M₅+10)+(M₅+15)=90

5M₅+ 30=90

5M₅=90-30

5M₅=60

M₅=60:5

M₅=12

M₅+5=12+5=17

M₅+10=12+10=22

M₅+15=12+15=27

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Paige Sanders bought a dozen eggs at a store for 3.65. She bought the same size eggs the next week at the same store for 2.92. W

algol13

The percent of decrease is $0.73. To get that subtract 3.65-2.92 which equals 0.73.

Hope it helps

6 0

3 years ago

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586$

And rounded up we have that n=350

4 0

3 years ago

Need help asap pllzzz will give brainliest

Greeley [361]

Answer:

d. $350.00

Step-by-step explanation:

A constant is a number that does not have any variables. The additional cost would depend on the number of persons at attendance so the cost would be $10.00p which is not the constant here. Thus, $350.00 is the only constant in this situation.

4 0

3 years ago

Is the product of 12 and 3/4 more or less than 12?

faust18 [17]

Less, 12 x 3/4 is 9 as you take 12/4 which is 3 times 3, which gives you 9

3 0

3 years ago

Explain the steps involved in adding two rational<br> expressions.<br> DONE

Helen [10]

Answer

Step-by-step explanation: example

5/(X+2). + 2/(X+1)

Common denominator. Is both (X+2)(X+1)

So the first fraction needs (X+1) since it already has (X+2) the second fraction needs ( X+2)

5(X+1). / (X+2)((X+1) +. 2/(X+2)/(X+1)

So multiply 5 with X then 5 with 1 and 2 times X and 2 times 2

5x+5 + 2x+4 / (X+2)((X+1)

Answer 7x+9/ (X+2)(X+1)

8 0

3 years ago