How do I do number 2 and 4 please help

Answer:

-1.5

Step-by-step explanation:

The Z - score of a person who scored 240 on the exam will be - 1.5.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

On a standardized exam,

The mean of scores = 300

Standard deviation = 40

Score on the exam = 240

Now,

Since, The Z - score is defined as;

Z - score = (X - μ) / σ

Where, μ is mean of scores and σ is Standard deviation.

Substitute all the values , we get;

Z - score = (X - μ) / σ

Z - score = (240 - 300) / 40

Z - score = - 60 / 40

Z - score = - 1.5

Therefore,

The Z - score of a person who scored 240 on the exam will be - 1.5.

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Answer:

c

Step-by-step explanation:

Answer: I think f

Step-by-step explanation:

The value of a must be 1 in order for the equation to hold true .

If a * b = b, we can find the value of a by isolating it on one side of the equation .

Given that a * b = b, we can divide both sides of the equation by b :

( a * b ) / b = b / b

This equation simplifies to form :

a = 1

For a = 1 the equation is true .

Therefore, the value of a must be 1 in order for the equation to hold true .

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Answer: 200 miles

Step-by-step explanation:

Answer:

The slope of these coordinates is 0.

It is a horizontal line.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Given average of 3 numbers = 17 Total of 3 numbers = 17×3 = 51. Given average of 2 numbers = 16 Total of 2 numbers = 16×2 = 32 Therefore, Third Number = 51–32 = 19

Answer: yes

Step-by-step explanation: so smart I think

Answer:

Triangle 1 and triangle 3 have same area.

Step-by-step explanation:

Given:

Triangle  Base  Height

1                30         16

2               60        40

3               20        24

Find:

Same area triangle

Computation:

Area of triangle = (1/2)(b)(h)

Area of triangle 1 = (1/2)(30)(16)

Area of triangle 1 = 240 unit²

Area of triangle 2 = (1/2)(60)(40)

Area of triangle 2 = 1200 unit²

Area of triangle 3 = (1/2)(20)(24)

Area of triangle 3 = 240 unit²

So,

Triangle 1 and triangle 3 have same area.

Answer:

[tex]90 in^{2}[/tex]

Step-by-step explanation:

Base is an equilateral triangle

slant hight= 12 in

side of base= 5 in

so, perimeter of base = 3(5)=15 in

lateral area = 1/2 pl =1/2 (15)(12) in

=90 in²

--------

hope it helps..

have a great day!!

Answer:

Step-by-step explanation:

lateral area = 1.5*12*5 =90

Answer:

A 234.11

Step-by-step explanation:

[tex]= 234.11148454551 feet^{3}[/tex]  is what you get lol

Answer:

Step-by-step explanation:

It's the magnitude of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

Answer:

1.35

Step-by-step explanation:

45 x .03

Answer: $ 1 710

Step-by-step explanation:

Area of parallelogram = base x height = 27 x 20 = 540ft2

Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2

total = 540 + 30 = 570ft2

570 ft2 x $3 = $1 710

Answer:

Step-by-step explanation:

[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]

1st box: 140

2nd box: 140

3rd box: 35

Answer:

the answer is the same.....

[tex]\frac{1}{c^2+8}[/tex]

Step-by-step explanation:

length of 1st piece = x inch

length of 2nd piece = 3x inch

length of 3rd piece = 4x inch

x + 3x + 4x = 56

8x = 56

x = 7

Thus,

length of 1st piece = 7 inch

length of 2nd piece = 3 × 7 = 21 inch

length of 3rd piece = 4 × 7 = 28 inch

Answer:

( 6 x 9  ) + ( 6 x 8) = 102

Step-by-step explanation:

The answer 102

Hope this helped!

Answer:

102

Step-by-step explanation:

6 times 9 is 54

8 times 6 is 48

Then add to get 102!!!

Answer:

Its probably a because the ones with squared results in a u shape

Answer:

The answer is 5 times

Step-by-step explanation:

1/6*1/6*180=5

Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.

first, let's define the variables:

x = number of black sheep

y = number of white sheep.

We know that:

"there are 56 sheep"

Then we can write:

[tex]x + y = 56[/tex]

We also know that there are 6 times as many white sheep than black sheep, this means that:

[tex]y = 6 \cdot x[/tex]

Then we have a system of equations:

[tex]x + y = 56[/tex]

[tex]y = 6\cdot x[/tex]

To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.

Now we can replace that variable in the other equation:

[tex]x + y = 56[/tex]

[tex]x + 6\cdot x = 56[/tex]

Now we can solve this for x, the number of black sheep:

[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]

There are 8 black sheep.

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Answer:

x = 28 y = 122

Step-by-step explanation:

Transversal Lines would be 112 and 4x

112 / 4 = 28

x = 28

y and 122 are alternate interior angles

so y = 122

hope this helps ^^

Answer:

±6

Step-by-step explanation:

Given the mathematical expression;

√36 < √42 < √49

But, √36 = 6 * 6 = 6²

√49 = 7 * 7 = 7²

Simplifying further, we would substitute the new values respectively;

±[6] < √42 < ±[7]

Therefore, evaluating √36 is equal to ±6.

Answer:

Step-by-step explanation:

Given equation:

Cylinder A has:

Using the given values find k:

The equation now is:

Find the volume of cylinder B:

Answer:

100%

none are greater than 80

Step-by-step explanation:

Answer:

B  I think

Step-by-step explanation:

the answer can be that they can have a common denominator at 9/60 and 12/60?

Answer:

144,000.00

Step-by-step explanation:

100-20=80%

0.8x180000=144,000

Answer:

D

Step-by-step explanation:

.2× 180000= 36000

180000- 36000

= 144000

Answer:

a) 0.19

b) 0.9689

c) ≈ 6 cars

Step-by-step explanation:

Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute

time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute

capacity of lane = 10 car

n = 10

a) Calculate the probability of an arriving not using the ATM because the line is full

p ( not using the ATM ) = 0.19

b) probability that a car will not be able to use the ATM machine immediately on arrival

P ( n > 0 ) = 1 - Po

                 = 1 - 0.0311 = 0.9689

c) Average number of cars in the lane

Lq = 5.74 ≈ 6 cars

attached below is the detailed solution