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PSYCHO15rus [73]
3 years ago
13

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box. ƒ -

1(x) = ______ a0 x _____a1 ______ a2 ƒ -1(4) = _______ a3
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",

\bf \stackrel{f(x)}{y}=\cfrac{1}{2}x+4\qquad \qquad \stackrel{inverse}{\underline{x}=\cfrac{1}{2}\underline{y}+4}\implies x-4=\cfrac{1}{2}y
\\\\\\
2x-8=\stackrel{f^{-1}(x)}{y}
\\\\\\
f^{-1}(4)=2(4)-8\implies f^{-1}(4)=0
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The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost
Alja [10]

Answer:

a) In the step-by-step explanation.

b)  The null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

c) P-value = 0.015

d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Then, the null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

The significance level is 0.05.

The sample has a size n=32.

The sample mean is M=130000.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26

The degrees of freedom for this sample size are:

df=n-1=32-1=31

This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>2.26)=0.015

As the P-value (0.015) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

6 0
3 years ago
What is the value of b<br> 2b + 8 − 5b + 3 = −13 + 8b − 5
Yuri [45]

Answer:

See below.

Step-by-step explanation:

2b + 8 − 5b + 3 = −13 + 8b − 5

Reorder like terms.

2b-5b+8+3=8b-13-5

Combine those like terms. Then solve.

-3b+11=8b-18

      -11       -11

-3b=8b-29

-8b -8b

-11b=-29

/-11    /-11

b=2.64

-hope it helps

3 0
2 years ago
Read 2 more answers
Use the functions f(x)=10-9/2x, g(x)=|-3x+16|, and h(x)=-x^2+8<br> Find h(a-4). urgent please answer
stich3 [128]

Answer:

ummmmm

Step-by-step explanation:

5 0
3 years ago
25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp
Elanso [62]

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L,  of the ramp.  If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is \frac{opposite}{adjacent}:

tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\

\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16}  \\\\L=79.815=79.82 in.

8 0
1 year ago
Someone please help!!! This is due tonight!! I’ll give brainliest
3241004551 [841]

Answer:

($0.5 x 2) + ($1.25 x 3) + ($0.75 x 3) = $7

6 0
2 years ago
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