Thirty-four high school students were surveyed and asked how many siblings they have. The dotplot below displays the distribution of responses. A dotplot. A number line going from 0 to 8 is labeled Number of Siblings. 0, 3; 1, 5; 2, 9; 3, 9; 4, 3; 5, 3; 6, 1; 7, 0; 8, 1. What percent of students have fewer than 2 siblings? 9% 24% 26% 50%

We are given the equation x² + 8x = 33, and we need to solve it from completing the square, for which we will be following the below steps

Step 1 :- First, notice, what's the coefficient of x², if it's 1, then proceed to step 2, if not then divide both sides by the coefficient of x²

[tex]{:\implies \quad \sf x^{2}+8x=33}[/tex]

Step 2 :- Here, we need to develop a whole square in both sides somehow, so we have the coefficient of x, so add the square of half of coefficient of x on both sides :

[tex]{:\implies \quad \sf x^{2}+8x+{\bigg(\dfrac82\bigg)}^{2}=33+{\bigg(\dfrac82\bigg)}^{2}}[/tex]

Simplify both sides now :

[tex]{:\implies \quad \sf x^{2}+8x+(4)^{2}=33+(4)^{2}}[/tex]

Step 3 :- So now, here LHS is in the form of a² + 2ab + b², so we can just replace it by (a + b)², and we will keep simplifying RHS

[tex]{:\implies \quad \sf (x+4)^{2}=33+16}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=49}[/tex]

[tex]{:\implies \quad \sf (x+4)^{2}=(\pm 7)^{2}}[/tex]

Step 4 :- As, power on both sides is 2, so we can just equate the bases

[tex]{:\implies \quad \sf x+4=\pm 7}[/tex]

Step 5 :- Equating x + 4 to 7, will yield x = 3, and equating it to -7, will yield x = -11, so we are now left with

[tex]{:\implies \quad \boxed{\bf{x=-11,3}}}[/tex]

15/44

Step-by-step explanation:

change the division sign to multiple. flip the numbers 11 and 5 around. multiple 3 times 5 then 4 times 11.

Answer:

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]

Step-by-step explanation:

First, find the slope:

m = (change in y) / (change in x) = rise / run

m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5

Then, write the equation of the line in point-slope form:

y - b = m(x - a)  where  (a, b) is a point on the line

y - 2 = (3/5)(x - 2)

Finally, solve for y:

[tex]y = \dfrac{3}{5}(x - 2) + 2[/tex]

[tex]y = \dfrac{3}{5}x - \dfrac{6}{5} + 2[/tex]

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]

The equation we would use here would be 45 + 0.75x = C

This is because we have a flat fee of $45 and you are being charged $0.75 per mile, so it depends on how many miles were driven.

To find out how much it would cost if it were to drive 110 miles, we simply put 110 in place of x;

45 + 0.75(110) = C

And now we solve!

45 + 82.50 = C

$127.50

Hope this helps!

Answer:

basketball

I hope this is useful

Answer: (C) Basketball

Step-by-step explanation: I took the test and that is the answer.

Answer:

Locker B

Step-by-step explanation:

When you divide 32 by 3 you get 10.667. Then when you divide that by 4 you get $2.667/ft2 per week.

Answer:

B) retirement

Step-by-step explanation:

Retirement is the only one that makes sense to me when you regularly save a small amount of money, and then letting the value grow over time.

Hope this helps!!

Answer:

1, 16, 100

Step-by-step explanation:

Answer:

other persons right i took the test and got it right so 1, 16, and, 100

Step-by-step explanation:

Answer:

The answer is C. 13

Step-by-step explanation:

3.5 is greater as 6/5 = 1.2

Answer:

3.5

Step-by-step explanation:

6/5 = 1.2

3.5 > 1.2

Answer:

Area of a rectangle = length x breadth

Given:

⇒ 134 cm² = length x 15cm

⇒ length = 134 ÷ 15

               = 8.93333333... cm

Reduction in length = original length - new length

                                 = 18 cm - 8.93333333... cm

                                 = 9.07 cm (nearest hundredth)

Answer:

Problem 9: No

Problem 10: Yes

Step-by-step explanation:

Hello!

Problem 9:

This is NOT a function because one x-value has only one unique y-value. -2 is seen twice and the outputs, y, are given as 6 and 0.5. To be a function, each input has its own unique output. Two different inputs can have the same output.

Problem 10:

This IS a function, all inputs have unique outputs, and no repeating inputs are shown.

Terms:

x - values are also known as input, abscicca

y - values are also known as output, ordinate.

Answer:

5.96 when rounded to the nearest hundredth

Step-by-step explanation:

Answer:

I think it is B or D

actually it is B i got 100%

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

As they triangles are congruent, we can say that, angle A = angle O

So, angle A = 105+25 =130

A = 180 - 130 = 50° all angles in a triangle add up to 180)

Soo 50° is the answer,

I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....

Answer:

68 ounces

Step-by-step explanation:

Since 1 pound is 16 ounces, if you use the comparison 1 lb/16 oz=4.25 lb/x oz, you could see that by multiplying 4.25x1, you get 4.25 lbs. So you do the same for the ounces. 16x4.25=68 oz.

The bag of apple weigh is 68 ounces .

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

According to question

A bag of apples weighs = 4.25 pounds

and  1 pounds = 16 ounces

Therefore ,

4.25 pounds = 16*4.25 ounces

                     = 68 ounces

Hence, the bag of apple weigh is 68 ounces .

To know more about unit of measurement here :

https://brainly.com/question/15402847

# SPJ2

Answer:

d the mode increase by 8

Step-by-step explanation:

mode is affected due to change in origin by same constant value

Answer:

C

Step-by-step explanation:

There will be 2 modes because 15 and 8 would both repeat 3 times.

diameter = 8

radius = 4

outside layer is an inch thick so

radius is 3

volume of a bowling ball is

volume of a sphere which is

4/3 * Pi * radius cubed =

(4/3)*Pi*27=

answer = 82447.96 in^3 or inches cubed

socraticorg

The volume of the outsdie layer whose  diameter is of 8 inches is 290 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  bowling ball has an outside layer, and an inner core

One type of bowling ball has a diameter of 8 inches

We have to find the volume of the outsdie layer

Radius of the ball is 4 inches.

Volume of sphere = 4/3πr³

=4/3×3.4×4³

=4/3×3.4×64

=290 cubic inches

Hence, the volume of the outsdie layer whose  diameter is of 8 inches is 290 cubic inches.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ3

Answer:

may be 90 degrees for that question

Answer: Rotation of 90

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

The point is between -2 & -3

Answer:

120

Step-by-step explanation:

Lets take it step by step!

Step 1 : first mutiply -1/2 * -1/3

-1/2 * -1/3 = 1/6

(remember to mutiply fractions we have to mutiply there denominator and numerator together)

Step 2 : then move on and multiply 1/6 * -1/4

1/6 * -1/4 =

-1/24

Step 3 :  Next we have to go and multiply -1/24 by -1/5

-1/24 * -1/5 =

1/120

Step 4 :  Finally we switch the numerator and denominator to find its reciprocal which is :

120!

Answer:

Step-by-step explanation:

y = 2(2)2 - 5(2) - 9

= 8 - 10 - 9

= -11.

Answer:

6 units

Step-by-step explanation:

the horizontal difference is the distance between the x values of both points. we know the distance between 4 and -2 is 6.

Answer:

Step-by-step explanation:

Answer:

[tex]m \angle a = 116 \degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex]m \angle a = \frac{1}{2} \times m \widehat{(BD)} \\ \\ \implies m \angle a = \frac{1}{2} \times 232 \degree\\ \\ \implies \huge { \orange{m \angle a = 116 \degree}}[/tex]

Answer:

26 units

Step-by-step explanation:

so the horizontal distance between the two points is 24 units while the vertical distance is 10 units.

hence, we can use the pythagorean theorem to find the length of the diagonal.

the answer is equal to sqrt( 24^2 +10^2)

the answer is 26 units

also you should always remember that the diagonal is always greater in length than both the vertical and horizontal sides.

make sure to ask if you need any further guidance :)

Answer:

13°

Step-by-step explanation:

sin(Ф)= opposite/ hypothenuse

sin(Ф) =  5.2/22.5

Ф= sin∧-1 (5.2/22.5)

Ф= 13.36°

Answer:

Joel is losing money.

Step-by-step explanation:

4,721-35%=?

First, convert the percentage into a decimal.

35%=35/100=.35

Then multiply 4721 by .35 which is 1652.35

At last, subtract 4,721 by 1652.35= 3068.65

Answer:

2,850

Step-by-step explanation:

I'm not very good with percentages, so this may be incorrect, but 1 ℅ of the total purchase price would be 2850 because 1 ℅ is essential 0.01 x 285,000. 285,000 would be adding the down-payment to the mortgage.

hope this helps