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3 years ago

If f(x)=15x+3, then f-1(x)=

Mathematics

1 answer:

Ilya [14]3 years ago

8 0

Answer:

y=x-3/15

Step-by-step explanation:

f(x)=15x+3/y=15x+3

f-1(x) is an inverse function, which means you gotta swap the x an the y:

x=15y+3

The goal is to get y alone, so you minus 3 on both sides to get

x-3=15y

And then divide both sides by 15 to get y alone

x-3/15=y

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According to the website www.collegedrinkingprevention.gov, "About 25 percent of college students report academic consequences o

astraxan [27]

Answer:

The required confidence interval is (3.068,4.732)

Step-by-step explanation:

Consider the provided information.

He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.

Thus, n=50, $\bar x$ =3.90 σ=3.51

Now find degree of freedom.

$df=n-1\\df=50-1=49$

The confidence level is 90% and df=49

Therefore,

$\frac{\alpha}{2} =\frac{1-0.90}{2}$

$\frac{\alpha}{2} =0.05$

Now by using t distribution table look at 49 df and alpha level on 0.05.

$t_{\frac{\alpha}{2}} = 1.67653$

Calculate SE as shown:

$SE=\frac{\sigma}{\sqrt{50} }$

$SE=\frac{3.51}{\sqrt{50}}=0.4964$

Now multiply 1.67653 with 0.4964

Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832

Now add and subtract this value in given mean to find the confidence interval.

$\bar x-E$

Hence, the required confidence interval is (3.068,4.732)

4 0

3 years ago

140 is 9% of what???

Len [333]

Answer:

The correct answer is B) 1555.6

Step-by-step explanation:

In order to find this, we must divide the part by the percentage. This will give us the total out of 100%

140/.09 = 1555.6

7 0

2 years ago

Analyze the scatterplot and determine the equation that

Jlenok [28]

Answer:

Relationship is :linear

Rate of change : 3

Y-intercept : (0,1)

Equation that models the data : y=3x+1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

"select all the numbers that are solutions to the equation x^3=27"

Ymorist [56]

B and C

3^3 = 27
the cubed root of 27 is 3

4 0

2 years ago

In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A, and B map to C', A', and B'

sp2606 [1]

Answer:

The correct answer is <u>B. 15 units</u>

Step-by-step explanation:

6 0

2 years ago