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Licemer1 [7]
3 years ago
15

5(x+7)^2=245 find the steps

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

0,-14

Step-by-step explanation:

5(x+7)²=245

divide both sides by 5

(x+7)²=49

Taking the square root of both sides

x+7=±7

Either x+7=7

subtract 7 from both sides

x+7-7=7-7

x=0

or

x+7=-7

subtract 7 from both sides

x+7-7=-7-7

x=-14

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For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used
kkurt [141]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Correlation Coefficient (r) = 0.989

alph=0.05

Number of observations (n) = 8

determine if there is a linear correlation between chest size and weight.

Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.

What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?

To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.

r^2 = square of the correlation Coefficient

r^2 = 0.989^2 = 0.978121

Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.

4 0
3 years ago
The equations in elimination method are written in the standard form as _______________.ax - by = cax + by + c = 0Ax + By = Cax
laiz [17]

Step 1

Given; The equations in the elimination method are written in the standard form as ____

Step 2

Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.

Thus the answer is; The equations are written in standard form as seen below

Ax+By=C

8 0
10 months ago
The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al
matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

\mu =1000 --- mean

\sigma^2 = 1200 --- variance

tax = 10\%

Required

The coefficient of variation

The coefficient of variation is calculated using:

CV = \frac{\sqrt{\sigma^2}}{\mu}

After the tax, the new mean is:

\mu_{new} = \mu * (1 + tax)

\mu_{new} = 1000 * (1 + 10\%)

\mu_{new} = 1100

And the new variance is:

\sigma^2_{new} = \sigma^2 * (1 + tax)

\sigma^2_{new} = 1200 * (1 + 10\%)

\sigma^2_{new} = 1320

So, we have:

CV = \frac{\sqrt{\sigma^2}}{\mu}

CV = \frac{\sqrt{1320}}{1100}

CV = \frac{36.33}{1100}

CV = 0.033

6 0
3 years ago
What is 8/11 - 7/11 in simplest form
NARA [144]

Answer:

It is 1/11

Step-by-step explanation:

Apply the rule a/c +- b/c = a+-b/c

=8-7/11

=1/11

8 0
3 years ago
Read 2 more answers
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant prod
-Dominant- [34]

Answer:

Step-by-step explanation:

Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}

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\frac{y-30}{28-30} =\frac{x-30}{34-30}\\y-30 = -0.5(x-30)\\y = -0.5x+45

is the linear relationship between n and y

7 0
2 years ago
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