All categories

3 years ago

Consider the function , f(x)=4x-5 what is the domain value that correspond to an output of f(x) = 11

Mathematics

1 answer:

kati45 [8]3 years ago

6 0

Answer:

x = 4

Step-by-step explanation:

given f(x) = 11 then equate f(x) = 11 and solve for x

4x - 5 = 11 ( add 5 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4 ← value of x in the domain

You might be interested in

The Highway Safety Department wants to study the driving habits of individuals. A sample of 41 cars traveling on the highway rev

PolarNik [594]

Answer:

58,21 ≤ μ ≤ 61,79

Step-by-step explanation:

Normal Distribution

Poputation size n = 41

Population mean X = 60

Population standard deviation σ = 7

Question is: Confidence Interval 90 % ??

As Confidence Interval is 90 % then α = 10 %

And as we are dealing with a two tail test

α/2 = 0,05

We look in Z table for values for α/2 = 0,05 and find

z(α/2) = - 1,64 and z(α/2) = 1,64

Then

Confidence Interval is

X - Zα/2 * σ/√n ≤ μ ≤ X + Zα/2 * σ/√n

60 - ( 1,64 ) * 7/√41 ≤ μ ≤ 60 + ( 1,64 ) * 7/√41

60 - 1,64 * 1,09375 ≤ μ ≤ 60 + 1,64 * 1,09375

60 - 1,79375 ≤ μ ≤ 60 + 1,79375

58,21 ≤ μ ≤ 61,79

4 0

4 years ago

Evaluate 10m + n2/4 when m = 5 and n = 4

posledela

Answer:

52 units

Step-by-step explanation:

1) 10m + n2/4

Substitute within the equation

2) 10(5) + (4)2/4
Simplify

3) 50 + (4 x 2/4) = 50 + (4 x 1/2) = 50 + 2 = 52 units

4 0

2 years ago

Read 2 more answers

Which is an equation of the line with slope that contains the point (6, 4)?

Vesna [10]

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is $y=\frac{1}{2} x+1$

8 0

3 years ago

In a survey of 1000 randomly selected adults in the United States, participants were asked what their most favorite and what the

xenn [34]

Answer:

(a) The 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).

(b) The 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).

Step-by-step explanation:

The questions are:

(a) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their most favorite subject.

(b) Construct and interpret a 95% confidence interval for the proportion of US adults for whom math was their least favorite subject. Solution:

(a)

The 95% confidence interval for the population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Th information provided is:

n = 1000

Number of US adults for whom math was their most favorite subject

= X

= 230

Compute the sample proportion of US adults for whom math was their most favorite subject as follows:

$\hat p=\frac{230}{1000}=0.23$

The critical value of z for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.23\pm 1.96\sqrt{\frac{0.23(1-0.23)}{1000}}\\=0.23\pm 0.0261\\=(0.2039, 0.2561)\\\approx (0.204, 0.256)$

Thus, the 95% confidence interval for the population proportion of US adults for whom math was their most favorite subject is (0.204, 0.256).

(b)

The 95% confidence interval for the population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Th information provided is:

n = 1000

Number of US adults for whom math was their least favorite subject

= X

= 370

Compute the sample proportion of US adults for whom math was their least favorite subject as follows:

$\hat p=\frac{370}{1000}=0.37$

The critical value of z for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.37\pm 1.96\sqrt{\frac{0.37(1-0.37)}{1000}}\\=0.37\pm 0.0299\\=(0.3401, 0.3999)\\\approx (0.34, 0.40)$

Thus, the 95% confidence interval for the population proportion of US adults for whom math was their least favorite subject is (0.34, 0.40).

8 0

3 years ago

you have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches .if you pour the water into

Romashka-Z-Leto [24]

Volume of cylinder=πr²h volume of another cylinder=πr²h
=22/7×1.5×1.5×8 =22/7×2.5×2.5×12
=396/7 =1560/7
=56.57 =235.71

=235.71-56.57
=179.14 amount of water is able to hold by the larger cylinder

4 0

4 years ago

Read 2 more answers