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never [62]
3 years ago
12

Reuben has scores of 70,75,83, and 80 on four spanish quizzes. what score must he get on the next quiz to achieve an average of

at least 80?
Mathematics
2 answers:
Ludmilka [50]3 years ago
6 0
Ok well If he gets a 92 percent he will have a 80!! :)

Sergio [31]3 years ago
4 0
X - the score he must get

\frac{70+75+83+80+x}{5} \geq 80 \\
\frac{308+x}{5} \geq 80 \\
308+x \geq 400 \\
x \geq 92

He must get at least 92 points.
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Find the equation of the line with the given properties. Passes through (4, -5) with a slope of -1\2
Setler [38]

y=-\frac{1}{2}x-3

Explanation

when you know the slope and a passing point of the line, you can find the equation of the line by replacing in the slope-point equation ,it is given by:

\begin{gathered} y-y_1=m(x-x_1) \\ \text{where } \\ m\text{ is the slope} \\ \text{and} \\ (x_1,y_1)\text{ is a point from the line } \end{gathered}

then

Step 1

a)Let

\begin{gathered} \text{slope}=-\frac{1}{2} \\ \text{ Point=(4,-5)} \end{gathered}

now,replace and solve for y

\begin{gathered} y-y_1=m(x-x_1) \\ y-(-5)=-\frac{1}{2}(x-4) \\ y+5=-\frac{1}{2}x+\frac{4}{2} \\ y+5=-\frac{1}{2}x+2 \\ \text{subtract 5 in both sides} \\ y+5-5=-\frac{1}{2}x+2-5 \\ y=-\frac{1}{2}x-3 \end{gathered}

therefore, the answer is

y=-\frac{1}{2}x-3

I hope this helps you

5 0
1 year ago
Problem 1 [4 pts]: The maintenance cost of machines are uniformly distributed from 0 to 160 (dollars). If a random sample of 75
Andru [333]

Answer:

$6,000

Step-by-step explanation:

The mean value of a sample is assumed to be the same as the mean of the population. The mean of a uniformly distributed variable between 0 and 160 is:

M = \frac{0+160}{2}\\ M=\$80

If the mean cost for each machine is $80, the mean aggregate cost for a sample of 75 machines is:

M_{75}=75*\$80\\M_{75}=\$6,000

The mean aggregate maintenance cost is $6,000.

7 0
4 years ago
he table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16 o
Pepsi [2]
16 or more books sold in a day will include two intervals from the given table:

a) 16 - 20 books sold.
Probability = 0.201

b) 21 - 25 books sold.
Probability = ?

Since the table gives the probability distribution, the sum of all the probabilities must be equal to 1. We are given the probabilities of 4 out 5 intervals. So in order to find the probability of the 5th interval (21-25) we can subtract the sum of probabilities of rest of the intervals from 1.
So, P(21 - 25) = 0.019

In order to find the probability of 16 or more books sold we need to sum the probabilities of both these intervals.

So, the probability of 16 or more books being sold on a given day = 0.201 + 0.019 = 0.220
4 0
3 years ago
Finding the value of the x
natali 33 [55]

Answer: do a proportion

Step-by-step explanation:

So it would be a number over a number and equals X over a number.

4 0
3 years ago
How many breaths does it take jesse to fill a balloon?
Aleksandr [31]

Answer:

8.8 breaths

Step-by-step explanation:

5 0
3 years ago
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