Find the measure of the arc or central angle indicated. Assume that the lines which appear to be diameters are actual diameters.

A confidence interval for the true mean SAT score of the graduating high school seniors will be (496; 536)

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics.

Mean score ± margin of error

Margin of Error = 20

Mean SAT score = 516

Hence,the confidence interval will be:-

=  516   ±  20

Lower boundary  =  516   -   20  = 496

Upper boundary  =  516   +  20  =  536

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The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

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Answer:

The to 42 x 42 is 1764

Step-by-step explanation:

22 x 22 = 484

Answer:

D

Step-by-step explanation:

Whatever angle you pick the three possibilities must add to 180.

a) adds to 150

b) 32 + 59 + 79  =  170. Close but not close enough

c) c has three 5s. The total will end in 5. Not the answer.

d) d does add to 180. It's the answer.

Which set of measures could be the measures of the interior angles of a triangle?

a.30°, 90°, 30°

b.32°, 59°, 79°

c.35°, 65°, 75°

d.22°, 37°, 121°

In this question we are asked to find out which one could be the measures of the interior angles of a triangle. Add the three measure angles given if you get 180° then those angles can be the interior angles of a triangle.

We know that,

[tex] \bull \: \small\boxed{ \rm{ Sum \: of \: all \: interior \: angles \: of \: a \: triangle = 180°}}[/tex]

a) 30°, 90°, 30°

→ 30° + 90° + 30° = 180°

→ 150° ≠ 180°

Option a) is not the correct answer.

b) 32° , 59° , 79°

→ 32° + 59° + 79° = 180°

→ 170° ≠ 180°

Option b) is not the correct answer.

c) 35° , 65° , 75°

→ 35° + 65° + 75° = 180°

→ 175° ≠ 180°

Option c) is not the correct answer.

d) 22° , 37° , 121°

→ 22° + 37° + 121° = 180°

→ 180° = 180°

Hence, opition d) is the correct answer

Answer:

y= 11. 125

Step-by-step explanation:

8 y = 89

because you do not have another y on the other side simple divide

8 y = 89

89 / 8 = y

y= 11. 125

(Not sure what decimal place to round to  so there are all 3 )

Hey there!

8y = 89

DIVIDE 8 to BOTH SIDES

8y/8 = 89/8

SIMPLIFY IT!
y = 89/8

y ≈ 11 1/8

y ≈ 11.125

Therefore, the answer is:

y = 89/8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

=======================================================

Explanation:

R = red apple

G = green apple

The best case scenario is when Leyan picks 3 red apples in a row (or 3 green apples in a row). So either RRR or GGG. However, she might not be so lucky.

We have to consider the opposite side of the spectrum and consider the worst case scenario.

Consider the case of alternating colors. If she selects four apples and the colors alternate, then she might have something like RGRG. There are two of each color so far.

Whatever she picks next will mean she has 3 of the same color. So it could be RGRGR or RGRGG. Therefore, she must select 5 apples to guarantee she has at least 3 of the same color.

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

Extra info (optional section)

If you are curious about how many apples are needed to guarantee she has 3 of both colors, then she would have to select 13 apples.

Why? Let's say she has really bad luck and selects 10 red apples in a row. The 3 extra selections are guaranteed to be green.

The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7

The given ratios are:

Dawn : Mandy = 6 : 7

Mandy : Belle = 2 : 3

Multiply the second ratio by 3.5.

So, we have:

Mandy : Belle = 2 * 3.5 : 3 * 3.5

Evaluate

Mandy : Belle = 7 : 10.5

So, we have:

Dawn : Mandy = 6 : 7

Mandy : Belle = 7 : 10.5

Mandy's ratios in both equation are the same.

So, we have:

Dawn : Mandy : Belle = 6 : 7 : 10.5

Remove Mandy's ratio

Dawn : Belle = 6 : 10.5

Simplify

Dawn : Belle = 4 : 7

Hence, the ratio of Dawn to Belle's savings is 4 : 7

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Step-by-step explanation:

7km/hr and 13km/hr

Because in this case we divide the total time taken will be 10km/hr but according to the question we have to subtract 3km/hr and also have to add 3km/hr. There for there for there average speed of friends with wind was 7km/hr and friends without wind will be 13km/hr.

Answer:

10.8 km/h to the nearest tenth.

Step-by-step explanation:

Let x be the average with no wind.

Speed = distance / time

With the wind:

x + 3 = 15 / t           A        where t = time in hours for the first half of journey

Against the wind:

x - 3 = 15/(3 - t)       B

Subtract A - B:

6 = 15/t - 15(3 - t)

6t(3 - t) = 15(3 - t) - 15t

18t - 6t^2 = 45  - 30t

6t^2 - 48t + 45 = 0

2t^2 - 16t + 15 = 0

t = - 1.085

So average speed (from equation B)

x = 15/ (3 - 1.085) + 3

  = 10.8 km/h to the nearest tenth.

Answer:

Pictograph is the least accurate!

Step-by-step explanation:

Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.

Answer:

Step-by-step explanation:

AB = 6

BC = 4

just sum

6 + 4 = 10

AC = 10

Answer:

A

Step-by-step explanation:

There is an even number of values.
Hope it helps

Sorry if I’m wrong

Here's the link to the answer:

https://riverside.rocks/index.php

Answer: 12+17+8+13=50, meaning that if we wanted to scale the amount of marbles to 250, we would need to multiply by 5.

So, if we multiply each amount of marbles times 5, that would give us:

60 red marbles

85 blue marbles

40 yellow marbles

65 white marbles

now, the probability of selecting a red or white marble from the jar of 250 marbles, you would need to add together the amount of white and red marbles, and divide that by 250.

60 + 65= 125 / 250

Wwe could stop there if the question wants the answer in fractions, and just simplify, but if it needs the answer in a percentage, then you would still divide 125 by 250.

125/250=0.5

0.5 is equal to 50%

(If the fraction needs to be simplified it would be 5/10, which is also 1/2.)

Step-by-step explanation:

x = capacity of Marshfield

y = capacity of Browden

x + y = 210,355

x = y + 4,465

so, using the second equation in the first

(y + 4,465) + y = 210,355

2y + 4,465 = 210,355

2y = 205,890

y = 102,945 (Browden)

x = y + 4,465 = 102,945 + 4,465 = 107,410 (Marshfield)

Answer: order the data from least to greatest then cross out from left to right to get to the middle and you have your number

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

i hope  have a great day

Answer:

Option D, [tex]16\ units[/tex]

Step-by-step explanation:

Step 1:  Determine the perimeter

[tex]P = 2(l + w)[/tex]

[tex]P = 2(5\ units + 3\ units)[/tex]

[tex]P = 2(8\ units)[/tex]

[tex]P = 16\ units[/tex]

Answer:  Option D, [tex]16\ units[/tex]

Answer:

C

Step-by-step explanation:

Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...

15.3 rounds to 15

7.9 rounds to 8

7.4 rounds to 7

So, his answer is reasonable.

Answer:

18.7

Step-by-step explanation:

110 % = 1.1

17 x 1.1 = 18.7

ALSO:

percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.

17% of 110 is also 18.7

Answer: Heyaa! ^

18.7 is 110% of 17 ~ Making your answer be 18.7

Step-by-step explanation:

Evaulte the problem..

Hopefully this helps you! ~

Answer:

slope = 1

y intercept = (0,8)

Step-by-step explanation:

the equation y = x + 8 is put in y = mx + b form

where m = slope and b = y intercept

in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)

Answer:

m = 1 and b = 8

Step-by-step explanation:

y = x + 8

Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the

y-intercept so b=8

Answer:

4 points

Step-by-step explanation:

104 divided by 26 is 4

and 26x4=104

You can also add 26 4 times to get 104

Answer:

4

Step-by-step explanation:

100 / 25 is 4. So 104 / 26 must be 4 because you added 1 to 25 4 times to 26 x 4 is 106.

Answer:

NO

Step-by-step explanation:

For it to be a right triangle, 14 should be 13.6

8, 11, 13.6 is a right triangle

Answer:

11

Step-by-step explanation:

48 = 4x + 4                           two of its angles are equal in measurement

- 4          - 4

44 = 4x

----    ----

 4       4

11 = x

Answer:y will be 45 then Multiply 45x3 which equals 135. Then add 135+62 and get your awnser.

Step-by-step explanation:

Answer:

adjacent

Step-by-step explanation:

you are lucky its only 83 degrees where you live

its over 90 where i live

Answer:

Step-by-step explanation:

For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)

For the median you need to arrange the number in order of value/size and fine the middle number

The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)

The equation is given as:

f(x)=x² + 2x

Set x = 0

f(0)= 0² + 2(0) = 0

Set x = 1

f(1)= 1² + 2(1) = 3

The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)

See attachment for the graph of f(x)=x² + 2x

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Answer:

Answer is in attached picture

Step-by-step explanation:

There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:

x = 4 + 5i*sqrt(7)

x = 4 - 5i*sqrt(7)

Step-by-step explanation:

The series of numbers that meets the 

requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

How to check that the series meets the requirements?

To verify that the series meets the requirements, we must establish what the requirements are:

●Every 3 consecutive numbers must add up to 19.

●In total there must be 14 numbers.

●The total sum of all the numbers must be 77

To verify that every 3 consecutive numbers add  up to 19, we separate them into 4 groups of 3 and one number is left over.

5 + 6 + 8 = 19

9 + 4 + 6 = 19

7 + 3 + 9 = 19

2 + 8 + 9 = 19

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77