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2 years ago

Match each output to its input for the function. Let f(x) = −2x + 3 f(0) f(−32) f(10) f(−17) and the choices are 3,-17,37,6

Mathematics

1 answer:

Andru [333]2 years ago

4 0

Answer:

Below

Step-by-step explanation:

● f(x) = -2x + 3

● f (0) = -2 (0) +3 = 3

● f(-32) = -2(-32)+3 = 64 + 3 = 67

● f(10) = -2(10) +3 = -20 + 3 = -17

● f(-17) = -2(-17) + 3 = 34 + 3 = 37

● f(10) => -17

● f(-17) => 37

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Answer:

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Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

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Now,the SLOPE INTERCEPT FORM of any given equation is given as:

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2 years ago

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2 years ago

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2 years ago

You would like to know whether forwards in a basketball league average the same (or different) numbers of points than the overal

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Answer:

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Step-by-step explanation:

Null hypothesis : $H_0:\mu = 7.5$

Alternate hypothesis : $H_a:\mu \neq 7.5$

Population mean = $\mu = 7.5$

Data : 10, 9, 6, 11, 13, 14, 9, 9, 9, and 10

Mean = $\bar{x}=\frac{\text{Sum of all observations}}{\text{no. of observations}}$

Mean = $\frac{10+9+6+11+13+14+9+9+ 9+ 10}{10}$

Mean =10

Standard deviation : $\sqrt{\frac{\sum(x-\bar{x})^2}{n}}$

Standard deviation : $\sqrt{\frac{(10-10)^2+(9-10)^2+(6-10)^2+(11-10)^2+(13-10)^2+(14-10)^2+(9-10)^2+(9-10)^2+(9-10)^2+(10-10)^2}{10}}$

Standard deviation s :2.144

$t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}t = \frac{10-7.5}{\frac{2.144}{\sqrt{10}}}t=3.687$

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T critical = $t_{(df,\alpha)}=t_(9,0.05)=2.26$

T calculated > T critical

So, We failed to accept null hypothesis

Hence the critical t-value for such a test given an alpha level of 0.05 is 2.26

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2 years ago