Series:

Use the Arithmetic Series formula to calculate the sum:

-6+(-3)+0+ • • • + 162

(Hint: how many numbers are being added?)

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Answer: 1/2

Explanation:

1/4 - (-1/4) = 1/4 + 1/4 = 1/2

I hope this helped!

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- Zack Slocum

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Answer:

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

Step-by-step explanation:

Answer:

the price of each snack be R $9.00

Step-by-step explanation:

Let us assume the snack be x

And, the ice cream be y

Now according to the question

2x + y = $21

And,

3x  + 2y = $33

Now multiply by 2 in equation 1

So,

4x + 2y = $42

3x + 2y = $33

x = 9

Hence, the price of each snack be R $9.00

Answer:

Find x

Find y

Find x

Find y

Correct choice is A

Answer:

30°

Step-by-step explanation:

the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.

Answer:

A

Step-by-step explanation:

You people my pl

Answer:

We want to solve the equation:

x*6 - 9 = 7

To solve this we need to isolate x in one side of the equation.

First, we need to add 9 in both sides of the equation to get:

(x*6 - 9) + 9 = 7 + 9

x*6 - 9 + 9 = 16

x*6 = 16

Now we can divide both sides by 6, to get:

x*6/6 = 16/6

x = 16/6 = 2.66

This is not an integer as the question wants, so i only can suppose that the question is incorrectly written.

If the equation was something like:

x/6 - 9 = 7

Using the same approach than before (the only difference is that we multiply both sides by 6 in the second step), we would get:

x/6 = 7 + 9 = 16

x/6 = 16

x = 16*6 = 96

x = 96

Which is an integer, so i suppose that the actual equation is "x/6 - 9 = 7" instead of "x*6 - 9 = 7"

Answer:

y = 3

Step-by-step explanation:

y = 1.5x and x = 2

y = 1.5(2)

y = 3

Answer:

y = 3x + 62

Step-by-step explanation:

Trend line equation in the form :

y = mx + b

m = slope

b = intercept

Using the points :

(0, 62) ; (6, 80)

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0

m = (80 - 62) / (6 - 0)

m = 18 / 6

m = 3

Intercept, b = value of y when x = 0

(0, 62) ; hence, b = 62

y = 3x + b

y = 3x + 62

Answer:

72 meters

Step-by-step explanation:

12 times 9 is 72

Answer:

243 m²

Step-by-step explanation:

Given the scale is 4 : 6 = 2 : 3 , then

scale of areas = 2² : 3² = 4 : 9

area of scale drawing = 12 × 9 = 108 cm²

let x be the actual area then using proportion

[tex]\frac{4}{108}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )

4x = 972 ( divide both sides by 4 )

x = 243

Actual area = 243 m²

Answer:

You'd need 2/5 of 9.2 pints of blue paint

2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint

Step-by-step explanation:

Answer:

3x - 5y

———————

    8  

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(a)

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 ) = (P(16, 9) and (x₂, y₂ ) = Q(22, 24)

[tex]m_{PQ}[/tex] = [tex]\frac{24-9}{22-16}[/tex] = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{2} }[/tex] = - [tex]\frac{2}{5}[/tex] , then

y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{5}[/tex] x + 3 ← equation of perpendicular line

(b)

Given PN = 2NQ , then N sections PQ in the ratio 2 : 1

Using the Section formula to find coordinates of N

N = ( [tex]\frac{16(1)+22(2)}{1+2}[/tex] , [tex]\frac{9(1)+24(2)}{1+2}[/tex] )

   = ( [tex]\frac{16+44}{3}[/tex], [tex]\frac{9+48}{3}[/tex] )

    = ( [tex]\frac{60}{3}[/tex], [tex]\frac{57}{3}[/tex] )

    = (20, 19 )

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

Answer:

$25.20

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Answer: 3x^2 − 7x − 6

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

Answer:

its B

hope it helps

byeeeee

Answer:

B

Step-by-step explanation:

95% of the time, population data will fall between 149.61 and 150.39.

A confidence level of 95% means 95% of the time, population data will fall between 149.61 and 150.39. The correct answer would be an option (B).

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

The second statement, "95% of the time, population data will fall between 149.61 and 150.39," is more accurate in terms of what a 95% confidence level implies.

When you conduct a sample survey, you can calculate a confidence interval, which is an estimate of the range of values that the population parameter is likely to fall within.

If the confidence level is 95%, it means that if you were to repeatedly sample the population and construct a confidence interval each time, 95% of those intervals would contain the true population parameter.

Thus, the correct answer would be option (B).

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

the answer is 151

360- every number there is 151

Answer: 7.5

Step-by-step explanation: draw a right triangle to represent the slide. the slide is 15 feet long, so the hypotenuse of the right triangle would be 15 feet. The angle from the bottom is 30 degrees according to the question. You want to find the angle opposite from the 30 degree angle so use sin(30). Sin=opposite/hypotenuse so sin(30)=x/15 sin(30) is 1/2 so 1/2=x/15. You multiply by 15 on both sides to get x by itself. 1/2*15=7.5

Answer: i think it would be a.) or c.)

Step-by-step explanation:

im not so good at math tho

Answer:

a) 2/3 fraction is shaded.

b) 66.67% is shaded.

Answer: I feel the answer is C

Step-by-step explanation:

The three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.

A box and whisker plot displays the minimum value, lower quartile (Q1), median, upper quartile (Q3), and maximum values of a data set.

Let's analyze each of the given statements given the box and whisker plots for both groups:

Statement A is TRUE:

Median time for Group B = 40.

Statement B is FALSE:

Median value for Group A is between 45 and 50

Median value for Group A is 40.

Therefore, Group B does NOT have median value greater than Group A.

Statement C is TRUE:

The interquartile range (IQR) for Group A and Group are similar, therefore, data for Group B varies slightly more than Group A.

Statement D is TRUE while E is FALSE:

Spread for Group A (IQR) = 55 - 30 = 25 minutes

Therefore, the three statements that are correct when comparing the box and whisker plots for the two groups are: A, C, and D.

Learn more about box and whisker plot on:

https://brainly.com/question/12343132

Answer:

[6.26,6.29]U[6.31,6.34

Step-by-step explanation:

6.26

6.27

6.28

6.29

6.31

6.32

6.33

6.34

So in interval form [6.26,6.29]U[6.31,6.34]

Answer:

Negative

Step-by-step explanation:

-2.7+x=-3.5

x=-3.5+2.7

x=-0.8

Answer:

The answer is c

Step-by-step explanation:

My college brother told me this is the answer if it isn't I'm sorry but it's his fault