Select the equation of the line that passes through the point (3, −1) and is parallel to the line on the graph.

Answer:

Last option

Step-by-step explanation:

Since it is asking for the limit of infinity, when we go to infinity, the graph also goes to infinity.

Answer:

Option D

Step-by-step explanation:

all lines are going from negative infinity to positive infinity

Answer:

Use an xy chart and graph the equation.

Step-by-step explanation:

Answer:

C., D. (they are the same point)

Step-by-step explanation:

4x + 2y < 6

A. (5, 7)

4(5) + 2(7) = 20 + 14 = 34

34 > 6, so A. is not an answer.

B. (0, 4)

4(0) + 2(4) = 0 + 8 = 8

8 > 6, so B. is not an answer

C. (1, 0)

4(1) + 2(0) = 4 + 0 = 5

4 < 6 is true, so C. is an answer.

D. (1, 0)

Why is D. the same as C.?

Answer:

,.........................................................

Answer:

628

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 12 - 1 = 11

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.2\frac{59}{\sqrt{12}} = 37[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 665 - 37 = 628 hours.

The answer is 628

Answer:

-143.68°F

Step-by-step explanation:

Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32

Simply plug in c as -97.6:

F = 1.8(-97.6) + 32

F = -175.68 + 32

F = -143.68

Answer:

Fahrenheit= Celsius x 1.8 + 32

Step-by-step explanation:

-97.6 x 1.8 = -175.68

-175.68 + 32 = -143.68 / -143.7

Answer:

I believe it is D

Answer:

  The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

The order of operations requires that you evaluate the expression ...

  3 + y ÷ 2

by first performing the division, then the addition. So, the addition gives you the sum of 3 and a quotient, because the quotient must be evaluated first.

The quotient is of y and 2 (not 2 and y), because the wording "the quotient of a and b" is always interpreted to mean a÷b.

So, the expression can be described as ...

  the sum of 3 and the quotient of y and 2.

Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

Answer:

A temperature range is within 5 degrees of 60 degrees Fahrenheit

Step-by-step explanation:

As per the number line which has been given, the circular marks at the ends of the shaded area are also seen to be shaded, not blank. This means that the values on which these marks fall, 55 and 65, have to go along with the list. A, a temperature range within 5 degrees of 60 degrees

Fahrenheit is the only choice that suits this as 5 degrees below 60 degrees is 55 while 5 degrees higher than the degrees of 60 is 65

Answer:

the answer is A

Step-by-step explanation:

i did the test

Answer: you got this!

Step-by-step explanation:

Answer:

Second option

Step-by-step explanation:

Focus on the right side only. We have (n+8)(n+5).

Let's use FOIL to expand that out

F = first means we multiply the first terms n and n to get n^2

O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n

I = inner tells us to multiply the inner expressions 8 and n to get 8n

L = last meaning we multiply 8 and 5 to get 8*5 = 40

Add up those results: n^2+5n+8n+40 = n^2+13n+40

Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.

This shows how (n+8)(n+5) turns into n^2+13n+40, which is why the second choice is the answer. The other choices aren't true equations for all values of n.

Answer:

its b

Step-by-step explanation:

I just took the test

Answer:

y= -5/4x + 1

Step-by-step explanation:

Slope-intercept form: y=mx+b

M is the slope

B is the y-intercept.

The slope is -5/4.

M = -5/4

y = -5/4 + b

We're looking for the y-intercept. Substitute point in.

(4,-4) x= 4 y= -4

-4 = -5/4(4) + b

-4 = -5+b

b= 1

y= -5/4x + 1

Answer:

2

Step-by-step explanation:

we will find the discriminant of the equation

d = b^2  - 4ac (here, a = 1 , b = 3 , c = 1. from the general formula: ax^2 + bx + c)

d =  9 - 4

d = 5

since d > 0, the roots are real and different

hence, the both the roots of this equation are equal

Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50

Step-by-step explanation:

Let x represent the original price, then

8x(1.45) < $500

[tex]x<\dfrac{500}{8(1.45)}[/tex]

x < $43.10

Increase is 0.45x

0.45($43.10)

= $19.40

Final price is Original + Increase

$43.10 + $19.40

= $62.50

The increase in price of a single piece of design is; Increase < $19.395

The new price can be represented as 145% the old price.

Let the initial price be x;

Therefore, the problem statement can be written as;

The former price is therefore 45% of $43.1;

Read more:

https://brainly.com/question/24712879

Answer:

7/4

Step-by-step explanation:

Answer:

B,) 7/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

16x^2 + 9 = 25

16x^2 = 16

x^2 = 1

x = 1, -1

Answer:

r= 0.19

Step-by-step explanation:

A= $708,050

P=$500,000

'' = 2

$708,050= $500,000(1+r)^2

-Divide $500,000 by both sides

1.4161= (1+r)^2

-Square Root on both sides

1.19= 1+r

-Subtract 1 on both sides

r= 0.19

Answer:

B and E

Step-by-step explanation:

A terminating decimal is a decimal with a finite number of digits after the decimal point. If we input all of these fractions into a calculator, or solve them by hand, we find that B is equal to 2.5, and E is equal to 0.375, and all the others are repeating decimals.

Answer: 200 ft²

Step-by-step explanation:

The area of a rectangle is length times width

So, simply do 25 * 8 = 200

Hey there! :)

Answer:

A = 200 ft².

Step-by-step explanation:

Use the formula A = l × w to determine the area of a rectangle:

A = 25 × 8

Multiply:

A = 200 ft².

Answer:

Look at the image below.

Answer:

The sample proportion of bare ground spots is 0.4118

Step-by-step explanation:

The sample proportion of bareground spots is the number of bareground sports divided by the number of spots.

In this question

700 bareground spots

1700 spots

7/17 = 0.4118

The sample proportion of bare ground spots is 0.4118

Given data:

The formula will be:

→ [tex]Sample \ proportion = \frac{x}{n}[/tex]

By substituting the given values, we get

                                 [tex]= \frac{700}{1700}[/tex]

                                 [tex]= 0.4118[/tex]

Thus the response above is correct.  

Learn more about sample proportion here:

https://brainly.com/question/17037417

Answer:

Step-by-step explanation:

59 dollars

Answer:

here,

Left dollars+ paid dollars

= 50 dollars +9 dollars

=59 dollars

Hope this helps...

Good luck on your assignment..

Answer:

x = -48

Step-by-step explanation:

x/ 4 = -12

Multiply each side by 4

x/4 * 4 = -12 *4

x = -48

Answer:-48

Step-by-step explanation:x/4=-12

Cross multiply

X x 1 =-12 x 4

X=-48

Answer:

E[N] = 1

Step-by-step explanation:

Here is the hint we are given on this problem - " Write N = [tex]1_{A_1}[/tex] + [tex]1_{A_2}[/tex] + · · · + [tex]1_{A_{ 13}[/tex]where [tex]A_k[/tex] is the event that a match occurs on deal k. "

_____

Now the standard thing is to do is let [tex]X_i[/tex] = 1, if there is a match on the [tex]i[/tex]-th pick and 0 otherwise. The number of matches is given to be [tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]. Knowing that, we can use the linearity of expectation -

There are 13 cards and for [tex]i[/tex]-th pick, the probability of having a card with [tex]i[/tex] number is 1 / 13. Therefore, E[N] = E[[tex]X_1[/tex] + [tex]X_2[/tex] . . . + [tex]X_{13}[/tex]] = 1

_____

Solution: E[N] = 1

Answer:

A) P(X>275) = 0.01

B) P(230<M<260) = 0.99

Step-by-step explanation:

We have a normal distribution with mean: 240 calories and standard deviation: 15 calories.

To find the probability that an individual doughnut for this brand contains more than 275 calories, we calculate the z-score for X=275 in this normal distribution, and then calculate the probability for this z-score with the standard normal distribution:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{275-240}{15}=\dfrac{35}{15}=2.33\\\\\\P(X>275)=P(z>2.33)=0.01[/tex]

In the case we are talking about a sample mean, we use the standard deviation of the sample distribution.

The standard deviation for the sample means is equal to the standard deviation of the population divided by the square root of the sample size (in this case, n=12). The mean of the sampling distirbution is expected to be equal to the population mean.

[tex]\mu_s=\mu=240\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{15}{\sqrt{12}}=\dfrac{15}{3.4641}=4.33[/tex]

We have to calculate the probability that this sample mean is within 230 and 260.

[tex]z_1=\dfrac{M_1-\mu}{\sigma}=\dfrac{230-240}{4.33}=\dfrac{-10}{4.33}=-2.309\\\\\\z_2=\dfrac{M_2-\mu}{\sigma}=\dfrac{260-240}{4.33}=\dfrac{20}{4.33}=4.619\\\\\\P(230<M<260)=P(z<4.619)-P(z<-2.309)\\\\P(230<M<260)=1-0.01=0.99[/tex]

Complete Question

The  complete question is shown on the first uploaded image

Answer:

The correct option is  A

Step-by-step explanation:

Now  from the question we are given the function

        [tex]f(x) = \frac{10^{2 x} -4}{x}[/tex]

Now  as  [tex]\lim_{x \to 0} [f(x) ] = \frac{10^{2*0} -4 }{0}[/tex]

       =>    [tex]\lim_{x \to 0} [f(x) ] = - \infty[/tex]

This  implies that as [tex]x\to 0[/tex] the function [tex]f(x) \to -\infty[/tex] which means that at  x = 0  the function is not continuous  

Answer:

  C.  d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

  d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

  k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

  (gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

  k = d/g = 120/5 = 24

The equation is d = 24g.

Answer:

[tex]E(X^2)=32.5\\V(X)=7.5\\E[X(X-1)]=E(X^2)-E(X)\\V(X)=E(X^2)-[E(X)]^2[/tex]

Step-by-step explanation:

We have the following properties:

[tex]E( X + Y ) = E(X) + E(Y)\\V(X) = E(X^2)-[E(X)]^2[/tex]

So, if we have that E[X(X-1)] = 27.5, we can write them using the first property as:

[tex]E(X(X-1))=27.5\\E(X^2-X)=27.5\\E(X^2)-E(X)=27.5[/tex]

Then, replacing E(X) by 5 and solving for [tex]E(X^2)[/tex], we get:

[tex]E(X^2)-5=27.5\\E(X^2)=27.5+5\\E(X^2)=32.5[/tex]

Finally, using the second property and replacing [tex]E(X)[/tex] by 5 and [tex]E(X^2)[/tex] by 32.5, we get that V(X) is equal to:

[tex]V(X) = 32.5 - 5^2\\V(X) =32.5 - 25\\V(X) = 7.5[/tex]

Answer:

A) P(1) = 0.2

B) P(greater than or equal 3) = 0.4

C) P(4) = 0.1

D) P(0) = 0.1

E) [tex]\mu_y = 0.2[/tex]

F) [tex]\sigma = 0.089[/tex]

Step-by-step explanation:

A)

to find P(1) we see in the table the value of P(x) when x is equal to 1.

when x=1, we have that P(x) = 0.2, therefore P(1) = 0.2

B)

To find P(greather than or equal 3), we just need to find P(3) and P(4), and sum their values. Seeing in the table, we have that P(3) = 0.3 and P(4) = 0.1, so:

P(greater than or equal 3) = P(3) + P(4) = 0.3 + 0.1 = 0.4

C)

All four tires having low air pressure is represented by the value of x equal 4, so we have to find P(4). Seeing in the table, we have that P(4) = 0.1

D)

No tires having low air pressure is represented by the value of x equal 0, so we have to find P(0). Seeing in the table, we have that P(0) = 0.1

E)

To find the mean of P(x) we just need to sum all the values and divide by the number of values:

[tex]\mu_y = (0.1 + 0.2 + 0.3 + 0.3 + 0.1)/5 = 1/5 = 0.2[/tex]

F)

The formula to calculate the standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{N}\sum(x_i-\mu)^2}[/tex]

[tex]\sigma = \sqrt{\frac{1}{5}((0.1-0.2)^2+(0.2-0.2)^2+(0.3-0.2)^2+(0.3-0.2)^2+(0.1-0.2)^2)}[/tex]

[tex]\sigma = \sqrt{\frac{1}{5}(0.01+0+0.01+0.01+0.01)}[/tex]

[tex]\sigma = 0.089[/tex]