Consider the following list of weights,
x
, of children in (kg).

54.8, 56.4, 69.3, 53.8, 57.7, 47.6, 30.7, 36.9, 44.8, 52.5, 42.1, 57.3, 63.9, 65.3, 49.6, 46.4, 46.3, 49, 46.2, 60.5, 45.2, 43, 66.5, 38.5

Answer:

15 is a composite number. 15 = 1 x 15 or 3 x 5. Factors of 15: 1, 3, 5, 15. Prime factorization: 15 = 3 x 5

Step-by-step explanation:

Answer:

15= 3 x 5

Step-by-step explanation:

                            15

                        /      /

                      5   x    3

3 and 5 both multiply together to make 15

Answer: Ok so I would say roughly 74 months

Step-by-step explanation:

(1/3)^4 = 1^4/ 3^4 = 1/81

Answer: 1/81

The expression 1/3 by the power of 4  when evaluated has a value of 1/81

From the question, we have the following parameters that can be used in our computation:

1/3 by the power of 4

Express as an equation

So, we have

1/3 by the power of 4 = 1/3⁴

When expanded, we have

1/3 by the power of 4 = 1/3 * 1/3 * 1/3 * 1/3

Evaluate the products

This gives

1/3 by the power of 4 = 1/81

Hence, the solution is 1/81

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Answer:

Step-by-step explanation:

please help

Answer:

75 000 000

Step-by-step explanation:

7 500 000 times 10 = 75 000 000

Step-by-step explanation:

devide both sides on 3 and x=6

as u can see 3*6=18

u have to find a number hat when its multiplied on 3 equals 18

so x(the number were searching for) is 6

Answer:

x = 6

Step-by-step explanation:

1. Divide Both Sides By The Coefficient

18/3 = 3x/3

6 = x

2. Move the variable to the Left

x = 6

Topic: Mathematics 8, Pre-Algebraic Skills

Answer:

x = 42

Step-by-step explanation:

The square at ∠C means it is a right angle (90°). The sum of the angles of a triangle is 180°. Use the information to solve for ∠B.

[tex]x+48+90=180\\x+138=180\\x=42[/tex]

Answer:

B = 41 degreed

Step-by-step explanation:

Square of C = 90degrees

A = 49degrees

90 + 49 = 139degrees

180degrees - 139degrees = 41 degrees

Answer:

Shirt/t-shirt?

Answer:

1224 boxes altogether

Step-by-step explanation:

Form two products and add the products together, as follows:

(22 bins)(36 boxes) + (18 bins)(24 boxes) = 1224 boxes altogether

1: Angles 2 & 6 + angles 3 & 7

     - Angles that are on the inside of the parallel lines and on opposite sides of the transversal  

2: Angle 1

     - Angles in the same position but the other line

3: Alternate exterior angles

     - Angles that are on the outside of the parallel lines and opposite sides of the transversal

4: Same side interior angles

     - They are on the same side of the transversal and inside the parallel lines

5: Angle 2

     - It is supplementary and on the inside of the parallel lines

6: Angle 4

     - It is supplementary and on the outside of the parallel lines

7: 146°

     - They are corresponding angles, so they are the same measurement  

8: 128°

     - They are supplementary angles, so 180 - 52 = 128

For 9 & 10:

     - They are supplementary, so adding them together will result in 180 degrees

     - (8x + 63) + (5x) = 180 -> 8x + 5x + 63 = 180 -> 13x = 117 -> x = 9

     - Now we will plug it in to find the individual measurements:

9: 135°

     - 8x + 63 -> 8(9) + 63 -> 72 + 63 = 135

10: 45°

     - 5x -> 5 (9) = 45

                         I hope this helps, have a nice day! :D

Answer:

a4 = 128

a5 = -512

Step-by-step explanation:

a1= -2

q= (-1)^(n+1) × 4

a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128

a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512

Observing the given matrix we can say that:

1) The value is 4.

2) The value is 2.

So analyzing the different paths that can connect city 1 to city 3: The value is 4. It represents the number of one-stop routes between City 1 and City 3 that pass through City 2.

For the second statement we will have the value is 2. It is the number of direct routes from  City 2 to City 5.

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Answer:

Step-by-step explanation:

calculated using excel

0.233529450857587

0.000138256957819058

The distribution is not a standard normal distribution.

We know that the variable (X) usually obeys and follows a standard normal distribution provided that the summation of (X) is zero and the variance of the random variable V(X) = 1.

Mathematically:

E(X) = 0 and V(X) = 1

Given that;

As such, the distribution is not a standard normal distribution.

Therefore, we can conclude that the distribution is not a standard normal distribution.

Learn more about standard normal distribution here:

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Answer:

1200.5

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

I= 7000(.0245)(7)

I=1200.5

Answer:

1,200.5

Step-by-step explanation:

Simple interest is

I = Prt,

where I is the interest earn after t years, P is the initial money , r is the rate

I = 7000*.0245*7 = 1,200.5

1,200.5 is the interest after 7 years

Answer:

A  8º

B  76º

C  74º

D  128º

Step-by-step explanation:

The sum of the angles is 360

(3x + 10) + (3x + 4) + (x + 50) + (5x + 8) = 360

Combine like terms

12x + 72 = 360

Subtract 72 from both sides

12x = 288

Divide both sides by 12

x = 24

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

A (3x+10) = 3*24 + 10 = 82

B (3x+4) = 3*24 + 4 = 76

C (x+50) =  24 + 50 = 74

D (5x+8) = 5*24 + 8 = 128

Answer:

0.09375

Step-by-step explanation:

Answer:

x²+y² = 25

Step-by-step explanation:

Attached Picture...

Answer:

62 Pounds

Step-by-step explanation:

Sam weighs 57 pounds

he loses 4 pounds So he has 53 pounds now

then gains 9 pounds

53 + 9 = 62

Therefore Sam weighs 62 pounds

Answer:

2/3

Step-by-step explanation:

the top has 2 on top and bottem has 3 or i am just du mb

Answer:

y = - [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = [tex]\frac{-2-2}{3-0}[/tex] = [tex]\frac{-4}{3}[/tex] = - [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = - [tex]\frac{4}{3}[/tex] x + 2 ← equation of line

if any doubt leave a comment

Answer:

5√8, √170, 5/8, 0.62

Step-by-step explanation:

5√8 = 14.1

√170 = 13.03

5/8 = 0.625

0.62 = 0.62

Answer:

5sqrt(8), sqrt(170), 5/8, 0.62

Step-by-step explanation:

Solve any equations and put them in decimal form to make it easier to list them from biggest to smallest.

Ex: sqrt(170) = 13.04

5sqrt(8) = 14.14

5/8 = .625

Answer:

18 girls and 15 boys.

Step-by-step explanation:

not sure on question 2. $21.33, $23.33, $25.33???

Answer: Slope (M) = 7.5

Y-intercept (B) = 0

Step-by-step explanation:

For the slope, the first step is to find your "pretty points" (spots on the slope that hit the corner perfectly, like (0, 0) or (2, 15).

Now, make a triangle with the two points. Count the amount of squares on both. This will give you 3 and 4, but when taking the units into consideration, 15 and 2. The last step is to divide 15 and 2 which gives you 7.5. I would recommend writing both 15/2 and 7.5 but it's up to you.

The Y-intercept is just the spot where the Y is 0, or where the line touches the Y-axis. This is at the origin, where both X and Y are 0, so your Y-intercept is 0.

I'm kinda bad at explaining things in words, so sorry if this makes no sense, but I hope this helps!

Answer:

53

Step-by-step explanation:

72 = x + 3x - 4

72 = 4x - 4

72 + 4 = 4x - 4 + 4

76 = 4x

76/4 = 4x/4

x = 19

3(19) - 4 = 53

Hope this helps!

Answer:

its a triangle you neeed to seee and to solve this

Step-by-step explanation:

y = x + 3

y=-x+ 5

A. (4, -1)

B. (-1,4)

C. (1,4)

D. (4,1)

It's an equilateral traingle

[tex]\\ \sf\longmapsto 4x-20=60[/tex]

[tex]\\ \sf\longmapsto 4x=80[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]