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77julia77 [94]
3 years ago
8

Which function below is the inverse of f(x)= 7x-1/2

Mathematics
1 answer:
lianna [129]3 years ago
8 0

f(x)=7x-\dfrac{1}{2}\to y=7x-\dfrac{1}{2}\\\\\text{we change x to y and y to x}\\\\x=7y-\dfrac{1}{2}\\\\\text{solve for y}\\\\7y-\dfrac{1}{2}=x\ \ \ \ |+\dfrac{1}{2}\\\\7y=x+\dfrac{1}{2}\ \ \ \ \ |:7\\\\\boxed{y=\dfrac{1}{7}x+\dfrac{1}{14}}\\\\Answer:\ \boxed{f^{-1}(x)=\dfrac{1}{7}x+\dfrac{1}{14}}

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The correct answer is True.
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Subtract 15 and 4 , double the difference, and then add two-thirds
mrs_skeptik [129]
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Read 2 more answers
Identify thenull hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion abo
miv72 [106K]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let m and w be the subscript for men and women players. The population proportions would be pm and pw

Pm - Pw = difference in the proportion of male and female players.

The null hypothesis is

H0 : pm = pw

pm - pw = 0

The alternative hypothesis is

Ha : pm ≠ pw

pm - pw ≠ 0

it is a two-tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For men,

xm = 1027

nm = 2441

Pm = 1027/2441 = 0.42

For women,

xw = 509

nw = 1273

Pw = 509/1273 = 0.4

The pooled proportion, pc is

pc = (xm + xw)/(nm + nw)

pc = (1027 + 509)/(2441 + 1273) = 0.41

1 - pc = 1 - 0.41 = 0.59

z = (Pm - Pw)/√pc(1 - pc)(1/nm + 1/nw)

z = (0.42 - 0.4)/√(0.41)(0.59)(1/2441 + 1/1273) = 0.02/√0.0002891223

z = 1.18

Since it is a 2 tailed test, we would find the p value by doubling the area to the right of the z score to include the area to left.

Area to the right from the normal distribution table is

1 - 0.881 = 0.119

P value = 0.119 × 2 = 0.238

Since 0.05 < 0.238, we would accept the null hypothesis

Therefore, there is no sufficient evidence to conclude that that men and women have unequal success in challenging calls.

3 0
3 years ago
Help me out please !!!!
Brums [2.3K]

Answer:

0.06 liters

Step-by-step explanation:

acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.

so, 100 units are 0.2 liters in this example.

that means that 65/100 × 0.2 = 0.13 liters are acid.

35/100 × 0.2 = 0.07 liters are water

we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).

the account of acid remains the same, as we are only adding water.

so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?

0.13 - 0.07 = 0.06 liters

4 0
3 years ago
Mr. And Mrs ikan deposited $15,000 into college savings accounts with an annual compound interest rate 5.25% when their daughter
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Answer:

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