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2 years ago

A function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??

Mathematics

1 answer:

babunello [35]2 years ago

3 0

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

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An insurance company collected data from a class of high school sophomores on whether or not they have a cell phone and whether

NeX [460]

Answer:

C. Those who have a car tend to have a cell phone.

Step-by-step explanation:

The relative frequency for a data set n is calculated by dividing each frequency $x_i$ by n.

We have a table that relates the use of cars and cell phones.

First, we take from the table the population that has a car.

$n = 18$

Then, of the students who have a car, 12 have a cell phone and 6 do not have a cell phone.

Then we calculate the relative frequencies $f_{x_i}$ for those who have a cell phone and those who do not.

______________________________________________

Relative frequency Students with car n = 18.

-------------------------------------------------- --------------------------------------

Cell phone No cell phone Total n

12/18 6/18 18

_______________________________________________

Relative frequency Students with car n = 18.

-------------------------------------------------- --------------------------------------

Cell phone No cell phone Total n

0.666 0.333 18

________________________________________________

Most students who have a car also have a cell phone.

Now we calculate the relative frequency for students who do not have a car.

_______________________________________________

Relative frequency Students without a car n = 7

-------------------------------------------------- --------------------------------------

Cell phone No cell phone Total n

2/7 5/7 7

_______________________________________________

Relative frequency Students without a car n = 7

-------------------------------------------------- --------------------------------------

Cell phone No cell phone Total n

0.286 0.714 7

_______________________________________________

Most students who do not have a car do not have a cell phone either.

Then these data suggest that. Those who have a car tend to have a cell phone.

Option C

6 0

3 years ago

A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$

Where, p is the probability of success $p=\frac{2}{7}$

q is the probability of failure q=1-p, $q=1-\frac{2}{7}=\frac{5}{7}$

n is total number of trials n=8

r=3

Substitute the values,

$P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}$

$P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}$

$P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}$

$P(X=3)=0.2428$

Therefore, the probability that 8 mice are required is 0.2428.

5 0

3 years ago

What are simultaneous equations

Masja [62]

Answer:

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.

6 0

2 years ago

WILL MARK BRAINILESTWhich statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options.

shutvik [7]

Answer:

Statements 2, 4, and 5

Step-by-step explanation:

15≥22+x

okay so that's

22+x≤15

and that is

x≤-7

the graph would not be a closed circle, it is a vertical line.

this means your 3 correct statements would be:

x less-than-or-equal-to negative 7,

–6 is part of the solution.

–7 is part of the solution.

the last two are true based on the inequality.

7 0

3 years ago

Sal and Jen went to the store together, and each bought the same car stereo.

scZoUnD [109]

Answer: Sal used a debit card and paid a total of $324.80 for the stereo. (I took the test too)

Step-by-step explanation: Multiply $21.30 by 18 months. Then subtract the interest, $58.60, from the product because Sal paid immediately with a card which implies using a debit card. You get $324.80.

8 0

3 years ago