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3 years ago

Which equation has a solution of (-2,1)?

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

C because you have to substitute so 1=-2(-2)-3

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Use the substitution method to solve the following system of equations.

Paraphin [41]

(4x - y = 3) * 9
36x - 9y = 27

7x - 9y = -2

29x = 29
x = 1

y = 4*1 - 3
y = 1

4 0

3 years ago

A random sample of 20 married women showed that the mean time spent on housework by them was 29.8 hours a week with a standard d

DanielleElmas [232]

Answer:

95% confidence interval for the mean time spent on housework per week by all married women.

( 26.66 , 32.94)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 20

Mean of the sample (x⁻ ) = 29.8 hours

Standard deviation of the sample (S) = 6.7

Given Margin of error = 3.14

Step(ii):-

95% confidence interval for the mean is determined by

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} +t_{0.05} \frac{S}{\sqrt{n} })$

We know that margin of error is determined by

$M.E = \frac{t_{0.05}XS.D }{\sqrt{n} } = 3.14$

Now 95% confidence interval for the mean time spent on housework per week by all married women.

$(29.8 - 3.14 , 29.8+3.14)$

( 26.66 , 32.94)

8 0

3 years ago

What’s the mean,median, and mode of 11,14,16,15,32,23,27,27,23,43 ?

alexdok [17]

Step-by-step explanation:

mean- add all number/by the total nos

=231/10=23.1

median - the middle value of data after arranging in ascending order

11,14,15,16,23,23,27,27,32,43

therefore the median is 23

mode - is the no that has occurred more

so mode will be 23 and 27

8 0

4 years ago

Convert 75 percent to a decimal

Crank

To convert to a decimal, divide by 100.

75 / 100 = .75

4 0

4 years ago

Read 2 more answers

Need help! Will mark Brainiest!

kicyunya [14]

Option B: $y=-\sqrt[3]{x-4}+7$ is the new equation

Explanation:

The given equation is $y=-\sqrt[3]{x}$

We need to find the new graph which is shifted 7 units up and 4 units right.

First, we shall shift the graph 7 units up.

The general formula to shift the graph b units up is given by

$y=f(x)+b$

Thus, to shift the graph 7 units up, let us substitute $b=7$ and $f(x)=-\sqrt[3]{x}$ in the general formula, we have,

$y=$-\sqrt[3]{x}$+7$

Now, we shall shift the graph 4 units right.

The general formula to shift the graph b units right is given by

$y=f(x-b)$

Thus, to shift the graph 4 units right, let us substitute $b=4$ and $f(x)=$-\sqrt[3]{x}+7$$ in the above equation, we have,

$y=-\sqrt[3]{x-4}+7$

Therefore, the new equation is $y=-\sqrt[3]{x-4}+7$

Therefore, Option B is the correct answer.

5 0

3 years ago