help on math review edu

Given: passes though (6,3) and m=(5/3).

Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.

y = mx + b

3 = (5/3)(6) + b

3 - (5/3)(6) = b

b = -7

Great now we know b so we can construct the rest of the linear function.

y = f(x) = (5/3)(x) - 7

You can always check the answer by plugging 6 into the x variable.

f(6) = (5/3)(6) - 7 = 3

(6,3) checks out.

Answer:

It is a function.

Step-by-step explanation:

Each input goes to exactly one output. Therefore, this is a function.

Answer:

The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:

Answer:

A - {-1, 0, 1, 3}

Step-by-step explanation:

the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain

Answer:

0.571

Step-by-step explanation:

:)

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]

[tex]p = 0.091125(0.55) = 0.0501[/tex]

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

[tex]E = \frac{q}{p}[/tex]

In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:

[tex]E = \frac{1}{0.55} = 1.82[/tex]

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]

Hence, since [tex]q = 1, p = 0.55[/tex]:

[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]

The standard deviation is of 1.22 students.

Item d:

This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Hence, since [tex]n = 5, p = 0.55[/tex]:

[tex]E(X) = 5(0.55) = 2,75[/tex]

It is expected that 2.75 students live within five miles of you.

A similar problem is given at https://brainly.com/question/25343741

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

A linear equation is in the form:

y = mx + b;

where m is the rate of change, b is the initial value of y and y, x are variables.

Let c represent the number of cars and v represent the number of vans.

Hence when it is filled to capacity:

c/60 + v/50 = 1

The linear equation that could be used to model Li Juans auto yard is c/60 + v/50 = 1

Find out more at: https://brainly.com/question/25718473

We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.

After screwing in those 3 red bulbs, there remain only 6 open sockets.

We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.

After screwing in those 4 red bulbs, there remain only 2 open sockets.

We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.

After screwing in those 2 bulbs, all the sockets have a bulb in them.

Answer (9C3)(6C4)(2C2) = 1260.

Answer:

234 millimeters^2 is the answer

Step-by-step explanation:

Answer:

12hrs and 32 minutes

Step-by-step explanation:

because the same am time to pm time is exactly 12 hrs and 11:34am is 26 minutes away from 12am so you can 26 minutes to get to 12am then 12am is 12hrs away from 12pm so you add 12hrs and now you are at 12pm at 12pm you add 6 minutes to get to 12:06pm which is a total of 12hrs and 32 minutes

Answer:

f(5)=38

Step-by-step explanation:

f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.

f(5)=42-4

f(5)=38

Answer:

[tex]8\frac{13}{24\\}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]

[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]

Answer:

Step-by-step explanation:

please try to provide a more accurate information 13cm of what? 790?

Answer:

The area of parallelogram can be found by product of its base and height. The calculations are shown below:  

Step-by-step explanation:

We know that,

Area of parallelogram = base × height

assume base to be 21 cm.

Then,

sin 79° = [tex]\frac{height}{13}[/tex]

∴ height = 13 × 0.98 = 12.74

Area of parallelogram = 21 × 12.74

                                   = 267.54 [tex]cm^{2}[/tex]

The area of parallelogram is calculated as 267.54 [tex]cm^{2}[/tex]

4a - 14 = 7a - 8

4a - 7a = 14 -8

-3a = 6

a = 2

ok done. Thank to me :>

Answer:

a= -2

Step-by-step explanation:

4a -14 = 7a -8

Subtract 7a from both sides

-3a -14= -8

Add 14 to both sides of equation

-3a = -8 +14

Add -8 and 14

-3a = 6

Divide each term by -3

a = -2

Answer:

Left 3 down 4

Step-by-step explanation:

I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.

Check the picture below.

Answer:

38 black and white rolls.

Step-by-step explanation:

15 rolls = 10 black and white

57 rolls = 57 divided by 15 multiplied by 10

57 rolls = 3.8 x 10 Leaving 38 Therefore there will be a total of 38 black and white rolls.

Answer:

x= (8/5)

Step-by-step explanation:

x= 8÷5

evaluate the equation/expression

x=1.6

then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5

Answer:

Pls help me I think its 5/8

Step-by-step explanation:

Answer:

Cassidy places 5 steps on each album page.

Cassidy places 320 stamps in total.

Step-by-step explanation:

40÷8=5 stamps on each album page

40×8=320 stamps in total

Answer:

a)3

b)33

Step-by-step explanation:

a)10% is the same as 10/100 so 30/100=0.3 x 10= 3

b) 3+30 = 33

Answer:

20

Step-by-step explanation:

Arithmetic mean = sum of value÷Number of value

=10+30=40÷2=20

Answer: sun are the main light source

Step-by-step explanation:

Answer:

What is sun ?

Answer:

J= Javiers age

5J=60

5J/5= 60/5

J= 12

Check:

5(12)= 60

60=6p

Step-by-step explanation:

see answer

hope this helps

Answer:

m=15

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

If he uses 2/6 of a liter thats 3 days for 1 liter.

3 x 15 is 45. so 45 days

Answer:

3 lb 11 oz

Step-by-step explanation:

Divide 59 by 16

Answer:

3 pound and 11oz

Step-by-step explanation:

hop3 this helps

Answer:

60.9

Step-by-step explanation:

im prob not crct

Answer:

is this supposed to be a free point question? I'm confuzzled

Answer:

vertex: (-5, 3)

Step-by-step explanation:

Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.

Given the quadratic equation, y = -x² - 10x - 22, where:

a = -1, b = -10, and c = -22.

In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].

[tex]x = \frac{-b}{2a}[/tex]

[tex]x = \frac{-(-10)}{2(-1)}[/tex]

[tex]x = \frac{10}{-2}[/tex]

x = -5

The x-coordinate of the vertex is: x = 5.

Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:

y = -x² - 10x - 22

y = -(-5)² - 10(-5) - 22

y = -25 + 50 - 22

y = 3

Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.  

One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows  the vertex as the maximum point.

If you have a graphing calculator (such as the Texas Instruments graphing calculator):

Please let me know if you have any questions or concerns regarding this post.

Answer:

the y intercept is7

Step-by-step explanation:

at y-axis x=0, y=7