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3 years ago

Which ordered pair is the solution to the system of linear equations y=-7X+2 and y = 9%-14?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Answer:

y = -7x + 2

y = 9x - 14

-7x + 2 = 9x - 14

14 + 2 = 9x + 7x

16 = 16x

1 = x

y = -7x + 2

y = -7(1) + 2

y = -7 + 2

y = -5

solution is : (1,-5)

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Last Sunday, the average temperature was 8%, percent higher than the average temperature two Sundays ago. The average temperatur

MArishka [77]

Answer: 1.08T and (1+8/100)T

Step-by-step explanation:

Given: The average temperature two Sundays ago was T degrees Celsius.

Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.

⇒ The average temperature last Sunday $=8\%\ of\ T+T$

Since 8%=0.08

Therefore, The average temperature last Sunday $=\frac{8}{100}\timesT+T$

⇒ The average temperature last Sunday $=T(\frac{8}{100}+1)$

⇒ The average temperature last Sunday $=T(0.08+1)$

⇒ The average temperature last Sunday $=T(1.08)$

Thus, the right option is 1.08T and (1+8/100)T.

4 0

3 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

3 years ago

The circumference of a circle is 704 cm,find its area

Digiron [165]

The circumferince of the circle is 2πR ;
The area of the circle is π $R^{2}$ ;
Then, 2πR = 704 ;
R = 352 / π ;
π $R^{2}$ = π × ( 352 / π )^2 = ( 352^2) / π = 123904 / π ≈ 39459.87 ≈ 39460 cm^2 ;

5 0

3 years ago

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Please answer quickly, thank you for your help

RoseWind [281]

Answer:

-6<x<-9

Step-by-step explanation:

if x+9<0 and 2x>-12

x<-9

x>-6

X is smaller than -9 but greater than -6.

The solution is -6<x<-9

6 0

3 years ago

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The graph of y=f(x) is shown below.which point could be used to find f(3).

QveST [7]

Answer:

aa is the repuestos yes ok

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3 years ago

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