What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = 1 – 162
O A. The graph of f(x) is shifted 16 units up.
O B. The graph of f(x) is shifted 16 units to the left.
O C. The graph of f(x) is shifted 16 units down.
O D. The graph of f(x) is shifted 16 units to the right.

Answer:

[tex]P(x \le 21) = 0.69146[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]n = 64[/tex] --- population

[tex]\mu = 20[/tex] --- population mean

[tex]\sigma = 16[/tex] -- population standard deviation

Required

[tex]P(x \le 21)[/tex]

First, calculate the sample standard deviation

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{16}{\sqrt {64}}[/tex]

[tex]\sigma_x = \frac{16}{8}[/tex]

[tex]\sigma_x = 2[/tex]

Next, calculate the sample mean [tex]\bar_x[/tex]

[tex]\bar x = \mu[/tex]

So:

[tex]\bar x = 20[/tex]

So, we have:

[tex]\sigma_x = 2[/tex]

[tex]\bar x = 20[/tex]

[tex]x = 21[/tex]

Calculate the z score

[tex]x = \frac{x - \mu}{\sigma}[/tex]

[tex]x = \frac{21 - 20}{2}[/tex]

[tex]x = \frac{1}{2}[/tex]

[tex]x = 0.50[/tex]

So, we have:

[tex]P(x \le 21) = P(z \le 0.50)[/tex]

From the z table

[tex]P(z \le 0.50) = 0.69146[/tex]

So:

[tex]P(x \le 21) = 0.69146[/tex]

Answer:

They do not.

Step-by-step explanation:

a² + b² = c²    c is the hypotenuse

9² + 12² = 17²

81 + 144 = 289

225  ≠  289

Answer:

x = 13

Step-by-step explanation:

The difference of two times a number and 5: [tex]2x-5[/tex]

Eight more than a number: [tex]x + 8[/tex]

You can create the following equality with this:

[tex]2x - 5 = x + 8[/tex]

Which is solved as follows:

[tex]2x-5=x+8\\2x-x=8+5\\x=13[/tex]

Answer:X= 13

Step-by-step explanation:

Step 1:

Let the unknown number be x

Such that the difference of two times a number and five is represented mathematically as 2x -5

And  eight more than the number can be expressed as

8 +x

Joining the two expressions to get an equation becomes 2x-5= 8+x

Step 2: Solving for x

2x-5= 8+x

We first find  like terms and solve

2x-x=8+5

We are now left with

x=13 as the answer.

See related question and answer here: https://brainly.com/question/17882257

Answer:

[tex]54 m^2[/tex] is the correct answer I believe

Answer:

x = 55

y = 70

Step-by-step explanation:

x = 180-125

  = 55

y = 180-(55x2)

  = 180-110

  = 70

Feel free to mark it as branliest :D

Answer:

Step-by-step explanation:

stay safe, stay healthy and blessed.

thank u

Answer:

a b c d e

Step-by-step explanation:

Answer:

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams

The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Answer:

2 meters

Step-by-step explanation:

Given

[tex]a= 8m[/tex] --- initial

[tex]r = \frac{1}{2}m/year[/tex] --- rate

[tex]t = 12\ yrs[/tex]

[tex]Nail = 2m[/tex]

Required

The height of the nail after 12 years

The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.

This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.

Hence, the height of the nail after 12 years in 2m

Answer:

Thomas is 20 years old

Step-by-step explanation:

33 - 13 = 20

Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Answer:

b= 0.09475

Step-by-step explanation:

Answer:

a) Paired t test with H : Mafter before > 0

Step-by-step explanation:

As we do not know anything about variances we will perform a paired t test.

We want to check the effectiveness of the  new program designed to increase the flexibility of senior citizens.

So we will perform a test where the mean after the program is greater than the mean before the program.

The best option is a.

Option  a defines both objectives paired t test and difference of mean after and mean before is greater than zero.

Other options are not correct as they miss out one of the both objectives.

Answer:

140 m^3 = 7 x 4 x 5

Step-by-step explanation:

Volume = H * W * L

Answer:

D). 100

Step-by-step explanation:

The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

Answer:

160π cubic feet

Step-by-step explanation:

V= πr²h

V= π x 4²x 10

V = 160π cubic feet

Answer:

48 soldiers leave the place.

Step-by-step explanation:

hope it helps.

Answer:

e) The company's daily cost to manufacture 80 items of the product is $500.

Step-by-step explanation:

We have that:

c is the cost in hundreds of dollars to manufacture n items. The input is the number of items, and the output is the cost, in hundreds of dollars.

Inverse function:

In the inverse function, the input and the output are exchanged from the original function, that is, in this situation, the input in the cost, in hundreds of dollars, and the output is the number of manufactured items.

c^-1(5)=80

Input of the inverse function is 5, which is the cost, in hundreds of dollars, that is, $500, to manufacture 800 itens. This means that the correct answer is given by option e.

The required value that makes the inequality h ≤ 2 true are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Given that,
To Select the values that make the inequality h < 2 true.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The values that are less than and equal to 2 are, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Thus, the required value that makes the inequality h ≤ 2 true are re, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

y = -3x + 150

Step-by-step explanation:

2 points on the graph:

(30, 60) and (40, 30)

Slope:

m=(y2-y1)/(x2-x1)

m=(30 - 60)/(40 - 30)

m= (-30)/10

m= -3

Slope-intercept:

y - y1 = m(x - x1)

y - 60 = -3(x - 30)

y - 60 = -3x + 90

y = -3x + 150

Answer:

75 miles

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{25}{2} = \frac{x}{6}[/tex]

Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)

[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]

Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]12\frac{1}{2}\times6\\\\= 75[/tex]

Therefore, 75 is the distance in miles.

Answer:

C; x*3

Step-by-step explanation:

The question is the base of the triangle, so we use the formula : b²=c²–a²

——————————————————————

[tex] {b}^{2} = \sqrt{c^{2} - {a}^{2} }[/tex]

[tex] {b}^{2} = \sqrt{ {16}^{2} - {8}^{2} } [/tex]

[tex] {b}^{2} = \sqrt{256 - 64} = \sqrt{192} [/tex]

[tex] \sqrt{192} =8 \sqrt{3} [/tex]

Answer:

Step-by-step explanation:

Area of a llgm = base * height

Base = 20 ft.

Height = 10 ft.

Area = 20*10 = 200 ft.

Hope it helps u

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Thank You

Answer:

200ft

Step-by-step explanation:

Area of a parallelogram is b*h .

base, b=20ft

height, h= 10ft

Therefore, area= 20*10=200ft

Answer :

the answer is -4/5 or -0.8

step-by-step explanation:

1-9/7+3 = -8/10

now simplify that,

-8/2 = -4

10/2 = 5

so we have -4/5 0r -0.8

Answer:

[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]

hope this helps you

Answer:

(1, -1)

Step-by-step explanation:

I can confirm that it is (1, -1)