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murzikaleks [220]

2 years ago

8

What would this answer be if i solved for x?

1 answer:

Molodets [167]2 years ago

4 0

Answer: x= -7

Explanation: These equations together should equal 180 because it is a line. Therefore
x + 67 + x + 127 = 180

Combine like terms
2x + 194 = 180

Then
2x = -14

x= -7

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In a survey sample of 83 respondents, the mean number of hours worked per week is 39.04, with a standard deviation of 11.51. Cal

soldier1979 [14.2K]

Given that,

Sample size= 83

Mean number= 39.04

Standard deviation= 11.51

We know the critical t-value for 95% confidence interval which is equal to 1.989.

We also know the formula for confidence interval,

CI=( mean number - critical t-value*standard deviation/(sample size)^(1/2), mean number + critical t-value*standard deviation/(sample size)^(1/2))

So, we have

CI= (39.04 - 1.989*11.51/83^(1/2), 39.04 + 1.989*11.51/83^(1/2)

CI= (39.04 - 2.513,39.04 + 2.513)

CI= (36.527,41.553)

Therefore, 95% confidence interval for these data is (36.527,41.553), and this result interpret that the true value for this survey sample lie in the interval (36.527,41.553).

8 0

2 years ago

Read 2 more answers

Why is the value of q?

Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

= 10 + 4

= 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$$\Rightarrow \frac{14}{q} =\frac{q}{4}$

Do cross multiplication.

$$\Rightarrow14\times 4 =q\times q$

$$\Rightarrow 56 =q^2$

Switch the sides.

$$\Rightarrow q^2 =56$

Taking square root on both sides.

$\Rightarrow q =2 \sqrt{14}$

The value of q is $2 \sqrt{14}$ .

8 0

2 years ago

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$

Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given equation.

$Y=-0.0000084(50)^3+0.00211(50)^2-0.205(50)+8.423$

$Y=2.398$

Therefore the estimated average annual growth rate of the country's population for 1950 is 2.398.

Difference between 1988 and 1900 is 88.

Put x=88 in the given equation.

$Y=-0.0000084(88)^3+0.00211(88)^2-0.205(88)+8.423$

$Y=0.9984752\approx 0.9985$

Therefore the estimated average annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given equation.

$Y=-0.0000084(110)^3+0.00211(110)^2-0.205(110)+8.423$

$Y=0.2236$

Therefore the estimated average annual growth rate of the country's population for 2010 is 0.2236.

8 0

2 years ago

A farmer planted 2/5 of his forty acres in corn and another 3/10 of his land in wheat

Mariana [72]

Answer:

7/10

Step-by-step explanation:

8 0

2 years ago

Heather earns $16 for each hour she works as a lifeguard. Choose the equation that models the situation, where h represents the

lord [1]

Answer:

I'm pretty sure the answer is m = 16h

Hope this helps!

Please mark as brainliest!

5 0

2 years ago