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tatuchka [14]
3 years ago
10

Ruth's gross paycheck last week was $445.50 from working 27 hours. What is her hourly pay rate?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

______________________________

<h3>= $445.5 ÷ 27Hrs</h3><h3>= 16.5</h3><h3>= <u>$16.50</u></h3><h3>Ruth's Hourly Pay Rate Is $16.50</h3>

______________________________

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A series is the summation of the terms of a sequence. True False
hoa [83]

That's almost the exact definition word for word. (Usually they are described separately).

Absolutely true!!!

5 0
3 years ago
Practice 3
Ksju [112]

Answer:

  h > 5

  h < 0

Step-by-step explanation:

We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.

As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...

  17 < 3h +2   <u>or</u>   3h +2 < 2

<h3>Special solution</h3>

Subtracting 2 from the inequality gives ...

  15 < 3h < 0

Dividing by 3 gives ...

  5 < h < 0

There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...

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3 0
3 years ago
Luigi uses 39 cups of flour for every 6 pizzas he makes. How many cups of flour does he need to make 4 pizzas? If he uses 13 cup
tiny-mole [99]

Answer:

4 pizzas - 26 cups

13 cups - 2 pizzas

Step-by-step explanation:

4 pizzas:

39 cups : 6 pizzas

6.5 cups : 1 pizza

6.5×4 cups : 4 pizzas

4 pizzas = 26 cups

6.5 cups : 1 pizza

13/6.5 cups : x pizzas

13 cups = 2 pizzas

3 0
3 years ago
Read 2 more answers
A simple random sample of 90 analog circuits is obtained at random from an ongoing production process in which 25% of all circui
kozerog [31]

Answer:

76.10% probability that between 19 and 28 circuits in the sample are defective

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

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 = 90, p = 0.25

So

\mu = E(X) = np = 90*0.25 = 22.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{90*0.25*0.75} = 4.11

P(19 ≤ X ≤ 28)

Using continuity correction, this is P(19-0.5 \leq X \leq 28+0.5) = P(18.5 \leq X \leq 28.5), which is the pvalue of Z when X = 28.5 subtracted by the pvalue of Z when X = 18.5. So

X = 28.5

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

Z = \frac{28.5 - 22.5}{4.11}

Z = 1.46

Z = 1.46 has a pvalue of 0.9279

X = 18.5

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

Z = \frac{18.5 - 22.5}{4.11}

Z = -0.97

Z = -0.97 has a pvalue of 0.1669

0.9279 - 0.1669 = 0.7610

76.10% probability that between 19 and 28 circuits in the sample are defective

8 0
3 years ago
A football team loses 5 yards on one play and then loses 8 yards on the next play. How many yards did they lose on the two plays
lakkis [162]

Answer:

12

Step-by-step explanation:

5+8

3 0
3 years ago
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