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2 years ago

A bag contains coins consisting of quarters and dimes. The total value of the coins is $285. How many quarters are in the bag?

Mathematics

2 answers:

Oksana_A [137]2 years ago

7 0

The answer is (B)
A simple way to find the answer would be by dividing 285/5 = 11

larisa [96]2 years ago

3 0

The answer will be B.11 because you divide 285 by 25

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Savannah is making a quilt with squares that have side lengths of 15/16 foot each. Are the side lengths of the squares closer to

alekssr [168]

Answer:

1 foot long

Step-by-step explanation:

If this fraction is closer to one it will be close to 16/16. And since 8 is half of 16, any fraction that is around 8/16 is closer to 1/2. 15 is closer 16 so this fraction is closer to one.

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Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

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 confidence interval for the mean is given by the following formula:

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

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 $ME =\pm 0.04$ 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)

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$

And rounded up we have that n=601

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2 years ago

Find the probability that a point chosen at random on the segment satisfies the inequality

Alexxandr [17]

Answer:n h hbuy n gb78

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1 year ago

What is the equation of the line that passes through the point

attashe74 [19]

Answer:

(y+2)= -3(x-7)

Step-by-step explanation:

We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:

y = m x + b

Where m is the slope and b is the y-intercept value.

We can substitute the slope into the formula giving:

y = − 3 x + b

Next, we can substitute the values from the points in the problem for x and y and solve for b :

− 2 = ( − 3x 7 ) + b

− 2 = − 21 + b

21 − 2 = 21 − 21 + b

19 = 0 + b

19 = b

We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.

y = − 3 x + 19

Another process is to use the point-slope formula. The point-slope formula states:

( y − y 1 ) = m ( x − x 1 )

Where m is the slope and ( x 1 , y1 ) is a point the line passes through.

Substituting the slope and values from the points in the problem gives:

(y − − 2 ) = − 3 (x-7)

( y + 2 ) = − 3 ( x − 7 )

6 0

2 years ago