Special right triangle!

Answer:

After 4 years working for the company, he would make $79,000 of salary.

His salary after t years will be:

[te]S(t) = 69000 + 2500t[/tex]

Step-by-step explanation:

David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.

This means that after t years, his salary will be given by:

[te]S(t) = 69000 + 2500t[/tex]

How much would David make as a salary after 4 years working for the company?

[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]

After 4 years working for the company, he would make $79,000 of salary.

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

Answer:

The z-score is 3.03.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 62[/tex]

The alternate hypotesis is:

[tex]H_{1} > 62[/tex]

The z-score is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics.

This means that [tex]n = 50[/tex]

Spencer wants to test the hypothesis that the private school students score better than the general public which has an average of 62 marks with a population standard deviation of 7 marks.

This means that [tex]\mu = 62, \sigma = 7[/tex]

If the sample mean is 65 marks, what is the z-score

This is z when [tex]X = 65[/tex]. So

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{65 - 62}{\frac{7}{\sqrt{50}}}[/tex]

[tex]z = 3.03[/tex]

The z-score is 3.03.

Answer: x=-3

Step-by-step explanation:

2x-4(x+3)=x-3

2x-4x-12=x-3

-2x-12=x-3.    add 12 to both sides

-2x=x+9.        subtract x from both sides

-3x=9.            Divide both sides by -3

x=-3

[tex]\frac{4}{25} *\frac{9}{x}[/tex]

[tex]9*25=4x[/tex]

225=4x

x=225/4

Answer:

I think $490

Step-by-step explanation:

Don't quote me on that

Answer:

2pi +6

Step-by-step explanation: First you can get the are of the triangle by doing (base *height)/2 this will be (3*4)/2 whcih is 6

Area of the half circle. To get the area of the circle u do radius^2*pi. this will be 2^2*pi in this example. so 4pi. because its half u have to to divide it by 2, so 4pi/2 is 2pi.

Now 2pi + 6 is the anwser

Answer:

the coordinates of B is (-2,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's another one of those similar triangles

it's easier to see this one.

t /c = u / b

where

t = 7x + 3

c = 27

u = 35

b = 21

plug in the knowns

7x + 3 / 27 = 35 / 21

7x + 3  = 27 ( 35 / 21 )

7x + 3 = 9 ( 35 / 7 )     ( divided by 3 )

7x  + 3  = 9 ( 5)     ( 7 into 35 =5 )

7x  + 3  = 45

7x = 45 - 3

7x = 42  

x = 6

I checked it, the ratio is 1_2/3  :) for both, but you can check it too

Answer:

[tex]\theta = 355[/tex]

Step-by-step explanation:

Given

Let the angle be [tex]\theta[/tex]

[tex]\theta < 360[/tex]

[tex]\theta[/tex] is co-terminal with -5

Required

Find [tex]\theta[/tex]

Start by dividing 5 by 360 (ignore the negative)

[tex]\frac{5}{360} = 0.0138[/tex]

The nearest integer greater than 0.0138 is 1.

This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time

So, [tex]\theta[/tex] is calculated as:

[tex]\theta = -5 + 1*360[/tex]

[tex]\theta = -5 +360[/tex]

[tex]\theta = 355[/tex]

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given scores:

Mean of the scores:

Absolute deviations:

Sum of absolute deviations:

Mean absolute deviation:

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Answer: 8

Step-by-step explanation:

Each of the two pyramids has 4 outer faces.

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

Answer:

(11/15)'s

Step-by-step explanation:

(2/5) is equal to (6/15)

(1/3) is equal to (5/15)

(5/15)+(6/15)=(11/15)

Answer: B

Step-by-step explanation:

took test :)

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

)Alex picks more red cards than black cards,

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

What is f & what is t?

Answer:

4 Liters

Step-by-step explanation:

Answer:

Length of line AC = 24 cm

Step-by-step explanation:

Given:

Length of line AB = 10 cm

Length of line BC = 14 cm

Find:

Length of line AC

Computation:

We know that line AB and BC are two part of line AC

So,

AC = AB + BC

Length of line AC = Length of line AB + Length of line BC

Length of line AC = 10 + 14

Length of line AC = 24 cm

Answer:i don’t know

Step-by-step explanation:

please

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

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

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

Answer:

8

Step-by-step explanation:

We know that ABD is 30 degrees. To find BC, we need to use sin.

Equation:

BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.

BC = 16*0.5

BC = 8

Sorry, I couldn't find an image.

Hope this helps!

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11