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3 years ago

Determine if (4, 7) is the solution for the following system: y = 2x - 1 y = -x + 11

Mathematics

1 answer:

babunello [35]3 years ago

6 0

Answer:

Yes

Step-by-step explanation:

7 = 2(4) -1

7 = -4 +11

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How many total terms are there in the following sequence. 7,10,13,...,391,394

nlexa [21]

Answer: n = 130

Step-by-step explanation:

The sequence is an Arithmetic progression ( AP )

The last term of the sequence is (L) is 394 with the formula

L = a + ( n- 1 )d . From the sequence, a = 7, d ( common difference ) = 3 and L ( last term ) = 394, and n = ?

Put those values in the formula above and solve for n.

a + ( n - 1 )d = L

7 + ( n - 1 ) x 3 = 394

7 + 3n - 3 = 394

4 + 3n = 394

3n = 394 - 4

3n = 390

n = 130

4 0

3 years ago

Read 2 more answers

After the schedule adjustment, the first 36 runs were an average of 8 minutes late. As a result, the Boston public school distri

aev [14]

Answer:

The value of test statistic is -2.

Step-by-step explanation:

The following information is missing in the question.

The population mean is 12 minutes.

We are given the following in the question:

Population mean, μ = 12 minutes

Sample mean, $\bar{x}$ = 8 minutes

Sample size, n = 36

Population standard deviation, σ = 12 minutes

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{8 - 12}{\frac{12}{\sqrt{36}} } = -2$

The value of test statistic is -2.

6 0

4 years ago

PLEASE HELP ME PLEASE

a_sh-v [17]

Answer:

20 bottles

Step-by-step explanation:

Number of bottles

$= 5 \div \frac{1}{4} \\ \\ = 5 \times \frac{4}{1} \\ \\ = 20$

3 0

3 years ago

Read 2 more answers

What is 3/4 subtracted by2/3

maxonik [38]

To subtract 3/4 - 2/3

1. must find the LCD( Least Common Denominator; the smallest multiple of the denominators of two or more fractions)

2. Combine them

Exact form:

1/12

Decimal form:

0.083

So in fraction form your answer should be:

1/12

Hope i helped! :)

6 0

3 years ago

What are the x intercept and y intercept of the graph of 12x-4y=48

Bond [772]

This is the answer
X=12
Y=4

4 0

3 years ago