1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katovenus [111]
2 years ago
8

What is the inverse of the function f(x) = 2x - 10?

Mathematics
1 answer:
Oxana [17]2 years ago
3 0

Answer:

h(x) = 1/2x + 5

Step-by-step explanation:

Switch the positions of the x and y (f(x)) and solve for y (f(x)).

f(x) = 2x - 10

x = 2y - 10

x + 10 = 2y

(x + 10)/2 = y

1/2x + 5 = y

You might be interested in
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distr
Marianna [84]

Answer:

(a) Decision rule for 0.01 significance level is that we will reject our null hypothesis if the test statistics does not lie between t = -2.651 and t = 2.651.

(b) The value of t test statistics is 1.890.

(c) We conclude that there is no difference in the mean number of times men and women order take-out dinners in a month.

(d) P-value of the test statistics is 0.0662.

Step-by-step explanation:

We are given that a recent study focused on the number of times men and women who live alone buy take-out dinner in a month.

Also, following information is given below;

Statistic : Men      Women

The sample mean : 24.51      22.69

Sample standard deviation : 4.48    3.86

Sample size : 35    40

<em>Let </em>\mu_1<em> = mean number of times men order take-out dinners in a month.</em>

<em />\mu_2<em> = mean number of times women order take-out dinners in a month</em>

(a) So, Null Hypothesis, H_0 : \mu_1-\mu_2 = 0     {means that there is no difference in the mean number of times men and women order take-out dinners in a month}

Alternate Hypothesis, H_A : \mu_1-\mu_2\neq 0     {means that there is difference in the mean number of times men and women order take-out dinners in a month}

The test statistics that would be used here <u>Two-sample t test statistics</u> as we don't know about the population standard deviation;

                      T.S. =  \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  ~ t__n_1_-_n_2_-_2

where, \bar X_1 = sample mean for men = 24.51

\bar X_2 = sample mean for women = 22.69

s_1 = sample standard deviation for men = 4.48

s_2 = sample standard deviation for women = 3.86

n_1 = sample of men = 35

n_2 = sample of women = 40

Also,  s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} }  =  \sqrt{\frac{(35-1)\times 4.48^{2}+(40-1)\times 3.86^{2}  }{35+40-2} } = 4.16

So, <u>test statistics</u>  =  \frac{(24.51-22.69)-(0)}{4.16 \sqrt{\frac{1}{35}+\frac{1}{40}  } }  ~ t_7_3

                              =  1.890

(b) The value of t test statistics is 1.890.

(c) Now, at 0.01 significance level the t table gives critical values of -2.651 and 2.651 at 73 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that there is no difference in the mean number of times men and women order take-out dinners in a month.

(d) Now, the P-value of the test statistics is given by;

                     P-value = P( t_7_3 > 1.89) = 0.0331

So, P-value for two tailed test is = 2 \times 0.0331 = <u>0.0662</u>

4 0
3 years ago
What is 78% of 40?? please help me
xxTIMURxx [149]
p\%=\frac{p}{100}\\\\78\%=\frac{78}{100}=0.78\\\\therefore\\\\78\%\ of\ 40=0.78\cdot40=\boxed{31.2}
6 0
3 years ago
Read 2 more answers
Anyone it is almost due help
tatuchka [14]

Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.

Step-by-step explanation:

7 0
2 years ago
20 is 25% of what number
borishaifa [10]
Hey there! :D

If 20 is 25% of a number, 

we know that it is a quarter of a number. 

20*4= 80

20 is 25% of 80.

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
A candy shop sells a box of chocolates for $30. It has $29 worth of chocolates plus $1 for the box. The box includes two kinds o
ANEK [815]
Dm for the answer can’t do it right now
5 0
3 years ago
Other questions:
  • 4(x+1.5)=38 solve for x
    12·1 answer
  • 9.A couple just had twin boys, but they can't decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple ra
    6·1 answer
  • Quadrilateral ABCD is dilated by a scale factor of 1/3 centered around (1,2). Which statement is true about the dilation
    13·2 answers
  • The National Health Interview Survey conducted of 33,326 adults by the U.S. National Center for Health Statistics in 2003 indica
    11·1 answer
  • Help asap!<br> its a surface area problem, please explain your answer.
    13·1 answer
  • Two improper fractions have a numerator of 17. The equivalent mixed numbers are 3?/? and 1?/?. What could the mixed numbers be?
    9·1 answer
  • Please help me solve this equation. I need it ASAP! I included the question, and options for answers. Each step needs to have it
    15·1 answer
  • Ill give brianliest if right pls help
    12·1 answer
  • Consider ΔABC with its centroid at point E and median AD. What is the length of AE if AD = 30?
    6·1 answer
  • Pls help me in math.​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!