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Marianna [84]
3 years ago
12

What is the...

Mathematics
1 answer:
pochemuha3 years ago
4 0
To solve problems like these, we simply need to break down the words and form the equation.

In this case, we start off with "The quotient," so we know we are talking about division. Next, we see "of 24 and," which means it has to be "24/ something."

24/

Finally, for this one, we see "twice a number." Number almost always means the variable (n), while twice means 2. This gives us 2n.

24/2n

Using the reasoning above, we can see that the first problem could be represented by 24/2n.

For the second problem, we can use the same reasoning on different values. We start off with "4 times," which can be represented as 4*.

4*

Next, we have "a number," which as stated previously, is almost always our variable (n).

4*n OR 4n

Finally, we have "decreased by two." Decreased generally refers to subtraction, while 2 is the value we are subtracting.

4n-2

Using the reasoning above, we can see the equation to represent the second problem is 4n-2. 
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if set up like

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PLEASE HELP!!! Use addition to solve the linear system of equations. Include all of your work in your final answer. 2x + y = 5,
Arturiano [62]
I: 2x+y=5
II:3x+2y=4

start by eliminating y

-2*I: -4x-2y=-10
II: 3x+2y=4

add both equations together

-2*I+II: -4x-2y+3x+2y=-10+4
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3 years ago
A study of 40 English composition professors showed that they spent, on average, 13 minutes correcting a student's term paper. T
photoshop1234 [79]

Answer:

a)

90% confidence interval for the mean grading time of all composition papers.

(12.47981 , 13.52019)

b)

Appropriate inequality

The interval is  ( 12.47981 < μ < 13.52019)

Step-by-step explanation:

<u><em>Explanation</em></u>:-

a)

Given sample size 'n' = 40

Mean of the sample = 13 minutes

standard deviation = 2 min

level of significance = 0.10 or 90%

90% confidence interval for the mean grading time of all composition papers.

( x^{-} - Z_{0.1} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.10} \frac{S.D}{\sqrt{n} } )

 ( 13 - 1.645 \frac{2}{\sqrt{40} } , 13 +1.645 \frac{2}{\sqrt{40} } )

( 13 - 0.52019 , 13 + 0.52019)

(12.47981 , 13.52019)

b)

The interval is  ( 12.47981 < μ < 13.52019)

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What has to be true for corresponding angles to be congruent ​
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Answer:

The lines intersected by a transversal must be parallel.

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