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Enter your answer in the box.Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.

Answers

Answer 1
Answer:

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:
Answer 2
Answer:

24

Hope this helps :T

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What is 78 radishes planted in a 13-foot long row written as a unit rate per inch

Answers

To convert to a unit rate per inch or find how many radishes per inch. You need to know how many radishes and how many inches.

There are 78 radishes.

The 13 feet converts to 156 inches (13 x 12)z

78 radishes/156 inches =
1/2 radish per inch

The unit rate is 1/2 radish per inch.

A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of residents that remain after t years is given by S(t) = 1/(t + 1), what is the population of the city 7 years from now?

Answers

Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population, P_(i) = 31000

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be  P_(i) = 31000

The population after T years is given by the equation:

P(T) = P_(i)S(T) + \int_(0)^(T)S(T - t)r(t) dt          (1)

Thus, the population after 7 years from now is given by using eqn (1):

P(7) = (3100)/(1 + 7) + 1200\int_(0)^(7)(1)/(8 - t) dt

P(7) = 3875 - 1200ln(8 - t)|_(0)^(7)

P(7) = 3875 - 1200ln(8 - t)|_(0)^(7)

P(7) = 3875 - 1200(ln(1) - ln(8))

P(7) = 3875 + 2495 = 6370

Of interest is whether the percent of managers at High Tech Inc. that pay over $8 per day for lunch is the same as the percent of technicians. Sixty managers are surveyed and forty-six of them pay over $8 per day for lunch. One hundred forty-nine technicians are surveyed and ninety-eight of them pay over $8 per day for lunch. The hypothesis test to use is Group of answer choices matched or paired samples two proportions independent group means, population standard deviations unknown independent group means, population standard deviations known.

Answers

Answer:

comparison of two sample proportions independent

Step-by-step explanation:

Given that the percent of managers at High Tech Inc. that pay over $8 per day for lunch is the same as the percent of technicians.

The data can be given as follows:

The samples are as follows

Managers             60                149

Who paid >8        46                  98

Hence we compare sample proportions here.

The appropriate test would be

comparison of two sample proportions independent

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value that represents the 90th percentile of scores. Answer with a whole number.

Answers

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are 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 = (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.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

Z = (X - \mu)/(\sigma)

1.28 = (X - 550)/(100)

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project at the same time how long will it take them to complete the project

Answers

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

(1)/(x) =(1)/(90) +(1)/(120)\n(1)/(x) =(4)/(360) +(3)/(360)\n(1)/(x) =(7)/(360) \nx=(360)/(7) \nx=51.43\,\,min

So it will take them approximately 51.43 minutes to complete the project together.

If x - 10 = -15, then find the value of 5x - 30 *

Answers

Answer:

The value is -55

In the equation x-10=-15, x is equal to -5.

Therefore, the value of x is plugged into the second equation and the value found is -55.

Answer:

x = -55

Step-by-step explanation:

We know that x - 10 = -15 and we want to find the value of 5x - 30 but our first step would be to find the value x so then we can can substitute that back into the expression so

x - 10 = -15

⇔ Add -10 to both sides to isolate x

x = -5

So now we know that value of 'x' is -5 we can substitute it back into the expression 5x - 30 so

5x - 30

→ Substitute x = -5 back into it

5 × -5 - 30

→ Simplify

-25 - 30 = -55

If x - 10 = -15, then find the value of 5x - 30 the value of x is -55
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