Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.

Answer:

[tex]\frac{49}{28}[/tex]

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

[tex]\frac{f(-4)}{g(-4)}[/tex] = [tex]\frac{49}{28}[/tex] = [tex]\frac{7}{4}[/tex]

Answer:

The more confident the manager can be that the parameter estimates reflect the true values.

Step-by-step explanation:

Standard error:

The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.

A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:

The more confident the manager can be that the parameter estimates reflect the true values.

Answer:

x = 30

Step-by-step explanation:

The angle in the bottom right is 120

Call is y

y+60 = 180

y = 180-60

y =120

Opposite angles in a parallelogram are equal so the upper left angle is 120

Call the 3x +z = 120

We also know that 2x+90 +z = 180 since it forms a straight line

Subtract 90 from each side

2x+z = 90

Using 3x+z = 120 and 2x+z =90 and subtracting the second equation

3x+z = 120  

-2x-z =-90

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

x = 30

Answer:

f(x)=5x+3

Step-by-step explanation:

The slop is 5 and the y intercept is 3

So if you put that in an equation it makes 5x+3

I used the slope formula to find the slope

Subtract the y values over x values

Answer:

$8.10

Step-by-step explanation:

6.75 ÷ 100 = 0.0675 x 20 = 1.35

1.35+6.75=$8.10

Answer:

14

Step-by-step explanation:

The answer is in the picture. Click on it

Answer:

[tex]Area =192\pi[/tex]

Step-by-step explanation:

Given

[tex]\theta = 120^o[/tex]

[tex]r =24[/tex]

Required

The area of the shaded sector

This is calculated as:

[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]

This gives

[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]

[tex]Area =\frac{1}{3} * \pi *576[/tex]

[tex]Area =\pi *192[/tex]

[tex]Area =192\pi[/tex]

Answer: 4 : 9

Step-by-step explanation:

36 : 81

Divide each side by 9 to simplify:

4 : 9

Answer:

9

Step-by-step explanation:

9 is a multiple of 3, so it is the least common denominator

9 factors : 9,18,27,36,45,54, ...

3 factors : 3 , 6, 9, 12, 15, 18, ..

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

×(2)+9×+c

2×+9×+c =

11x+c

Answer:

Step-by-step explanation:

f(3)=2*3^2 - 3*3^2 + 1

=2*9 - 3*9 + 1

=18-27+1

=19-27

=-8

Answer:

f ( 3 ) = -8

Step-by-step explanation:

→ Substitute x = 3 into 2x² - 3x² + 1

2 × ( 3 )² - ( 3 × ( 3 )² ) + 1

→ Simplify

-8

Answer:

The answer is "7.122 billion"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to y=Ce^{kt}[/tex]  

[tex]C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\[/tex]

So,  

[tex]\to y=5.937e^{.013t}\\\\[/tex]

when it becomes [tex]2012, \ t=14[/tex] so plug the value into the formula  

[tex]\to y= 5.937e^{.013(14)} =7.122 \ billion[/tex]

Answer:

a²+2a-8

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

because  yellow : blue : white = 6:5:1

so divided into 6+5+1= 12 equal parts

because white = 1 part --> white = 30 : 12 = 2.5

OPTION A , C,D

are the correct choices because all of them are equal to √5

Answer:

4 litres

Step-by-step explanation:

First, we are going to find 60% of 20 litres.

20 × [tex]\frac{60}{100}[/tex] = 12 litres

∴ Pure milk 12 litres.

Now we find 40% of 20 litres.

20 × [tex]\frac{40}{100}[/tex] = 8 litres

To find the quantity of water to be added we subtract the 8 litres from the 12 litres.

12 - 8 = 4 litres

∴ 4 litres of water should be added so that pure milk becomes 40%

Answer:143!!

Step-by-step explanation:answer : 143

Answer:

400

Step-by-step explanation:

angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.

Answer:66.9 meters

Step-by-step explanation:

tan 18/1=x/201\

20tan18=x

201 tan 18=x

x=65.308858...

65.308858...+1.63=   66.938858...

≈  66.9 meters tall

The height of the skyscrapers is 66.9 meters.

Given

From her eye, which stands 1.63 meters above the ground, Samantha measures the angle of elevation to the top of a prominent skyscraper to be 18°.

If she is standing at a horizontal distance of 201 meters from the base of the skyscraper,

The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.

Then,

The height of the skyscrapers is given by;

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}[/tex]

Substitute the values in the formula

[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\\rm Tan18=\dfrac{x}{201}\\\\x = tan18\times 201\\\\x=65.30[/tex]

Therefore,

The height of the skyscraper is;

= 65.30 + 1.63 =  66.9

Hence, the height of the skyscrapers is 66.9 meters.

To know more about the angle of elevation click the link given below.

brainly.com/question/12992313

Answer:

$1.918

Step-by-step explanation:

The volume of a right circular cone is obtained using the formular :

V = 1/3πr²h

From the question:

Diameter = 9 inches ; height = 10 inches

Radius = diameter /2 = 9/2 = 4.5 inches

V = 1/3*π*4.5²*10

V = 211.95 in³

Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³

Density of popcorn = 34 ounces / ft³

Density of popcorn CONTAINER = x

1 ft³ = 34 ounce

0.12265625 ft³ = x

Cross multiply

x = 34 * 0.12265625 ft³

x = 4.1703125 ounce

Hence, popcorn continer has a density of 4.1703125 ounce

If price per container = $8

The price per ounce = $8 / 4.1703125

= $1.918

Hence, price per ounce is $1.918

Answer:

6.71

Step-by-step explanation:

→ Find a triangle to use

Tan = Opposite ÷ Adjacent

→ Rearrange to make opposite the subject

Opposite = Tan × Adjacent

→ Substitute in the values

Opposite = Tan (40) × 8

→ Simplify

Opposite = 6.71

Answer:

option A

Step-by-step explanation:

[tex]x \% \ of \ 25 = 40\\\\\frac{x}{100} \times 25 = 40\\\\\frac{x}{4} = 40\\\\x = 160[/tex]

Answer:

I think its b

Step-by-step explanation:

I looked it up

The answer is in the picture. Click on it.

Answer:

pls edit the question. there seems to be missing information. the function are not there.

in the meantime I hive you as much as possible.

I'll edit when you gave the missing functions.

your table of values could look like this:

x y1 y2

-2

-1

0

0.25

0.5

1

2

3

4

5

2. I did choose some negative integers, some positive and, as the problem requested, 2 values between 0 and 1. this should give some idea of the function when graphed.

3. calculate each scenario by swapping the x in the formula with the value for x from the table.

4. [need the functions for this one, but probably: one has a steeper slope than the other one]

5. [definitely need the graphs for this. I'll graph dem for you then]

6. the common logarithm is to the base 10. that means it answers questions like

[tex] {10}^{x} = 100[/tex]

this would be 2 for the example, so

[tex] log(100) = 2[/tex]

[tex] log_{10}(100) = 2[/tex]

these two are the same

if we change the base to, let's say, 8, it gives answers to problems like

[tex] {8}^{x} = 64[/tex]

this is relatively easy to see 2, so we can write it this way:

[tex] log_{8}(64) = 2[/tex]

Generally speaking, the log asks to wich power some base has to be raised to equal as certain value, like eight to the power of what equals 64.

Answer:

Step-by-step explanation:

90-39=51