How do you solve 42 divided by 63

Coral spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is

Juliette [100K]

X=weekly allowance
x/2=money saved (= money spent).
We can suggest this equation:

x/2+4=12

lowest common multiple=2
x+8=24
x=24-8
x=16

Answer: her weekly allowance is $16.

7 0

3 years ago

Find YQ if MQ = 3x-3 and YQ = 2x-6.

Alina [70]

Answer:

• Assume Q is a mid point of line MY

${ \underline{ \sf{ \: _{l} M \: \: \: \: \: \: \: \: _{l} Q \: \: \: \: \: \: \: \: _{l}Y}}}$

• Then, MQ = YQ

${ \rm{(3x - 3) = (2x - 6)}} \\ \\ { \rm{3x - 2x = - 6 + 3}} \\ \\ { \boxed{ \rm{ \: x = - 3 \: }}}$

5 0

2 years ago

The gym is filled with 215 students & adults. Student tickets are $.50 and adults are $2.00. If $250.00 was collected, how m

BARSIC [14]

In order to determine the correct answer, it would be helpful to set up equations. We do as follows:

Let x = students
y = adults

x + y = 215
.50x + 2y = 250

SOlving simultaneously, we have:

x = 120 students
y = 95 adults

Hope this answers the question. Have a nice day.

3 0

3 years ago

10 POOIINNTTS and Branliest!!! <br><br> What is Exponential Form?

Mila [183]

Answer:

It mean's numeric form with exponents.

Step-by-step explanation:

Basically it's a way to write the number better without having to repeat it.

5 0

3 years ago

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Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the

aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 250, p = 0.58$

So

$\mu = E(X) = 250*0.58 = 145$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80$

If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{124 - 145}{7.8}$

$Z = -2.69$

$Z = -2.69$ has a pvalue of 0.0036

0.36% probability that fewer than half in your sample will watch news videos

8 0

3 years ago

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