what is (2 cubed) to the fourth power

Answer: ($19.8, $20.8)

Step-by-step explanation:

Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.

Given:  [tex]\overline{x}[/tex] = $20.3

n= 2333

[tex]\sigma[/tex] = $11.3

For  98% confidence,  z* = 2.326

Then, the98% confidence interval for population mean will be:

[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]

Hence,  the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

Answer:

x=2

Step-by-step explanation:

x2

x

+−3=x+x+−5

Multiply all terms by x and cancel:

x2+−3x=xx+xx+−5x

x2−3x=2x2−5x(Simplify both sides of the equation)

x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)

−x2+2x=0

x(−x+2)=0(Factor left side of equation)

x=0 or −x+2=0(Set factors equal to 0)

x=0 or x=2

Check answers. (Plug them in to make sure they work.)

x=0(Doesn't work in original equation)

x=2(Works in original equation)

Answer:

x=2

Answer:

2 /20t+7

​  

Step-by-step explanation:

Answer:

$90 left after 20 days

Step-by-step explanation:

She starts out with 150, right?

She spends $3 each day x 20 days = 60

150 - 60 = 90

Hope this helps! :')

Answer:

multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars

Answer:

the answer is 7.1 inches tall

Answer:

x = 2

Step-by-step explanation:

First translate the image into an equation using the key. Once you do that, your equation should look like this:

(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)

________________________________

3x - 5 = -2x + 5

(given)

________________________________

3x - 5 = -2x + 5

+5. +5

(addition property of equality)

*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*

__________________________

3x = -2x + 10

+2x +2x

(addition property of equality)

*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*

________________________________

5x = 10

÷5. ÷5

(division property of equality)

*divide by 5(GCF) on both sides to isolate

x by itself*

________________________________

x = 2

________________________________

If you want to test this solution, substitute this back into the equation.

x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1

Answer:

f'(x)= 2x - 14

Step-by-step explanation:

change f(x) to y   y = 1/2x + 7

switch x and y    x = 1/2y + 7

multiply everything by 2 to cancel the denominator 2x = y + 14

solve for y     2x - 14 = y

then change y to f'(x)   f'(x) = 2x - 14

Answer:

B    --   f'(x)= 2x - 14

Answer:

m = -3

Step-by-step explanation:

First, find two clear points:

(1, -2) (0, 1)

Then, use the slope formula:

m = y2 - y1

      x2 - x1

m = 1 - (-2)

       0 - 1

   = 3  = -3

     -1

m = -3

This means that the rise-over-run is -3 over 1, or 3 over -1.

Which means three down and 1 to the right, or 3 up and 1 to the left.

Slope is the steepness of the line.

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

Answer:2n+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

where are the other variables?

Answer: 1.9 per year this is the answer

Answer:

c

Step-by-step explanation

7x3=21

125-34=91

91+21=112

Answer:

30244

Step-by-step explanation:

Answer: x=18

im assuming that this is a right angle

so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.

so x=18

Answer:

non - collinear points

Step-by-step explanation:

points that dont lie on the same line

Sum of two angles that are supplementary = 180°

Ratios in which they have been given their measurement = 1 : 3

Total number of parts = 1 + 3 = 4

Each part = 180÷4 =

[tex]Each \: part = \: \frac{180}{4} [/tex]

Each part = 45°

Measure of smaller angle = 45 × 1 = 45°

[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]

[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]

∴ The measure of the larger angle in degrees = 145° .

Answer:

I think you use the row that had the same number of terms as the exponent.

Step-by-step explanation:

Answer: -1

1. Deduct 7x.

3x+2−7x=7x+6−7x

−4x+2=6

2. Deduct both sides by 2.

−4x+2−2=6−2

−4x =4

3. Divide by 4.

-4 ÷ 4 = -1

Answer. = -1

Step-by-step explanation:

Answer: 216 diving students to 12 instructors = 18 students per instructor.

Step-by-step explanation:

Answer:

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

Answer:

B

Step-by-step explanation:

y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.

Answer:

53.04

Step-by-step explanation:

Answer:

52.904

Step-by-step explanation:

Answer:

78 people were on the boat to begin with.

Step-by-step explanation:

Moving backwards is the way to solve this question.

74 - 22 = 52

52 + 26 = 78

And to prove the answer is correct.....

78 - 26 = 52

52 + 22 = 74

Answer:

266.162 ml

Step-by-step explanation: