What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38

Answer: c

Step-by-step explanation:

y=(x-7)^2+7

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4

Answer:

12 and 10

Step-by-step explanation:

Answer:

11 and 21

Step-by-step explanation:

Let the first number equal x. If the first number, the second number is ten more, and can represented as x + 10. Now, the sum is 32, so we can add the two numbers to get 32:

x + x + 10 = 32

2x + 10 = 32

2x = 22

x = 11

If the first number 11, the second number is 10 more, and therefore is 21.

Answer:

Nicholas pulls 5 blue marbles from the bag.

Step-by-step explanation:

Since Nicholas performs an experiment in which he pulls a marble from a bag, and in his experiment, he finds that he is twice as likely to pull a red marble as a blue marble, to determine, if Nicholas pulls 10 red marbles, how many blue marbles does he pull, the following calculation must be performed:

10/2 = X

5 = X

Therefore, Nicholas pulls 5 blue marbles from the bag.

Answer:

Juan can consume 2.22 calories per day

Step-by-step explanation:

[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]

Answer;

14x-12

Explanation:

Since we are not asked what to fine, we can find the perimeter of the rectangle

Perimeter = 2(L+W)

Perimeter = 2(2x+1+5x-7)

Perimeter = 2(7x - 6)

Perimeter = 14x - 12

Hence the perimeter of the rectangle is 14x-12

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

Answer:

6

Step-by-step explanation:

Given :-

And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.

Substituting the respective values :-

[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂

[tex]:\implies[/tex] m = -3 -3 / 1 - 2

[tex]:\implies[/tex] m = -6/-1

[tex]:\implies[/tex] m = 6

Hence the slope of the line is 6.

Answer:

15

Step-by-step explanation:

To find the answer you multiply the length by the width.

5×3=15

Answer:

4√2

Step-by-step explanation:

√32 = √(16 * 2) = 4√2

Answer:

x= -2

Step-by-step explanation:

MARK AS BRAINLIEST!!

Answer: -2

Step-by-step explanation: -2 times 5 is -10. -10-15=-25

Answer:

[tex]25m^{2} -40m+16[/tex]

Step-by-step explanation:

Rewrite (5m−4)^2 as (5m−4)(5m−4).

Expand (5m−4)(5m−4) using the FOIL Method.

[tex]25m^{2} -40m+16[/tex]

Answer:

3

Step-by-step explanation:

3 × 3 = 9

( 3 + 3 + 3 = 9 )

______________________________________

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476

Step-by-step explanation:

This is a familiar conversion problem:

[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]

[tex] = 1.95 \times {10}^{15} \: miles[/tex]

Answer:

see below

Step-by-step explanation:

3.3 × 10^2  light years

one light year is 5.9 × 10^12 miles

you need to multiple these two values

3.3 × 10^2  light years  ×  5.9 × 10^12 miles/light year =

=     (3.3 × 5.9) × 10^2 × 10^12

=     19.47 × 10^(2 + 12)

=     1.947 × 10^1 × 10^14

=     1.947 × 10^15 miles

Answer:

68.7

Step-by-step explanation:

Hope this helps you out in your journey for the test

Answer:

0.3

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Since this shape is a quadrilateral, the sum of the interior angles is 360.

Equation:

81 + 20x - 16 + 15x + 30 + 16x + 10 = 360

51x + 105 = 360

51x = 360 - 105

51x = 255

x = 5

Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

Answer:

[tex](a)\ f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

Given

The attached table

[tex](a)\ f^{-1}(-15)[/tex]

This represents an inverse function.

So, we look into x row for its value.

i.e.

[tex]f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)[/tex]

Just like (a)

[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows

[tex]f(9) = 11[/tex]

So:

[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]

[tex]f^{-1}(4) + f(9)=0[/tex]

Given:

The equation is:

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

To find:

The value of y.

Solution:

We have,

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

On simplification, we get

[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]

[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]

[tex]192=6000\left(0.032\right)[/tex]

[tex]192=192[/tex]

Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.

Hence, all real values of y are solutions.

Answer:

Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!

bit.[tex]^{}[/tex]

Answer:

The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"

The median of the data is 50 (middle line inside the box)

The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.

The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.

The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.

Let me know if you have questions about this answer. I'm happy to help.

Answer:

answer is (1,0)

Step-by-step explanation:

Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24