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2 years ago

6

PLEASE HURRY WILL GIVE BRAINLIEST! Which phrase describes the algebraic expression Three-fourths x + 2? A. three-fourths of a nu

mber plus two B.the quotient of four-thirds and two C.the product of three-fourths and two D.the difference between three-fourths of a number and two

2 answers:

Jlenok [28]2 years ago

7 0

Answer: A

Step-by-step explanation:

3/4x+2

3/4+2

iren [92.7K]2 years ago

6 0

Answer:

The answer is A

Step-by-step explanation:

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A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch

slavikrds [6]

Answer: $50x+250=75x+100$

Step-by-step explanation:

Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

Let x be the number of hours , then the total cost to create the logo plus is given by :-

$C(x)=250+50x$

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

The total cost to develop logo plus is given by :-

$c(x)=100+75x$

The equation to represent the costs would be the same is given by :_

$C(x)=c(x)\\\Rightarrow50x+250=75x+100$

4 0

1 year ago

Read 2 more answers

John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

1 year ago

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of

Nuetrik [128]

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

5 0

1 year ago

Read 2 more answers

Micah and Crystal purchase two movie tickets. Tickets costs $8.50 each, drinks cost $3.50 each, and boxes of candy cost $3.00 ea

AysviL [449]

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

t representing tickets d representing drinks c representing candy

the answer really depends on how much of each item they buy

if they bought more than 2 of each just change the 2 to the number of items bought

8 0

2 years ago

A television station plans to ask a random sample of 400 city residents if they can name the news anchor on the evening news at

hodyreva [135]

Answer:

There is an 8.38% probability that the anchor will be fired.

Step-by-step explanation:

For each resident, there is only two possible outcomes. Either they can name the news anchor on the evening news at their station, or they cannot.

This means that the binomial probability distribution will be used in our solution.

However, we are working with samples that are considerably big. So i am going to aaproximate this binomial distribution 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:

400 city residents are going to be asked. So $n = 400$ .

Suppose that in fact 12% of city residents could name the anchor if asked. This means that $p = 0.12$ .

So,

$\mu = E(X) = 400*0.12 = 48$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{400*0.12*0.88} = 6.5$ .

They plan to fire the news anchor if fewer than 10% of the residents in the sample can do so.

What is the approximate probability that the anchor will be fired?

10% of the residents is 0.10*400 = 40 residents.

Fewer than 10% is 39 residents. So the probability that the anchor will be fired is the pvalue of Z when $X = 39$ .

So:

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

$Z = \frac{39 - 48}{6.5}$

$Z = -1.38$

$Z = -1.38$ has a pvalue of 0.0838. This means that there is an 8.38% probability that the anchor will be fired.

5 0

2 years ago