In the finals of a singing contest at Greenvale Middle School, 300 students vote on which
contestant they liked best. The circle graph shows the results of the vote. How many
more votes did Gamba get than Ahmed?

Answer:

A is 55°

Step-by-step explanation:

To solve this, you need to remember that the sum of the angles inside a triangle is equal to 180 degrees.

Also, noting that this is an isosceles triangle.  That means that a and b are equal.  With that in mind, we can simply say:

a + b + c = 180

a ≡ b ∴ 2b + c = 180

2(4x + 31)° + (2x + 58)° = 180°

8x° + 62° + 2x° + 58° = 180°

Let's just stop right here, and note that normally you can treat symbols of measurements just like variables.  We've done the same here, applying the distributive property with the ° symbol.  Note though that it's currently part of every single term, so I'm going to factor it out:

(8x° + 62° + 2x° + 58°) / 1° = 180° / 1°

8x + 62 + 2x + 58 = 180

10x + 120 = 180

10x = 60

x = 6

Again noting that A and B are identical due to this being an Isosceles triangle, we can say:

A = (4x + 31)°

A = 24° + 31°

A = 55°

We can also check our answer.  The sum of the angles should be 180, and two of those angles should be 55.  That means that angle C should be 180 - 2 * 55, or 180 - 110 = 70.  Let's test it:

70 = 2x + 58

70 = 12 + 58

70 = 70

So we know that our answer is correct.

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

Answer:

a=4

b=5

Step-by-step explanation:

Answer:

good

Step-by-step explanation:frog

Answer:

I believe it's A

Step-by-step explanation:

not sure but

Answer:

It will be 78

Step-by-step explanation:

Because if you do 84 minus 6 you get 78

Answer:

The proportion of disks which are defective is 0.16.

Step-by-step explanation:

The proportion of defective disks is the number of defective disks in the sample divided by the size of the sample.

In this question:

2346 disks.

1971 not defective, so 2346 - 1971 = 375 defective.

[tex]p = \frac{375}{2346} = 0.16[/tex]

The proportion of disks which are defective is 0.16.

Answer:

1

Step-by-step explanation:

every single thing to the power of 0 is 1

Answer:

0

Step-by-step explanation:

1 to A

2 to C

3 to B

4 to D

and that's all

Answer:

21.04

Step-by-step explanation:

the 8 is closest to 10 so that would make the 3 a 4.

Answer:

a4...................hope this helps

Answer:

3

Step-by-step explanation:

9 divided by 3 is 3

Step-by-step explanation:

a triangle is the area of 2

Answer: 27.1 cubic meters

Step-by-step explanation: The area for finding the volume of a pyramid is V=1/3 Bh, where B= base, and h=height. To substitute in the numbers from the problem, you get V=1/3 times 8.3 times 9.8. 9.8 times 8.3 is 81.34. 81.34 times 1/3 rounds to 27.1.

Answer:

29.3

Step-by-step explanation:

Sin(49)/5.4 = Sin(S)/3.5

Cross multiply.

0.4891636168

Sin^-1(0.4891636168) = 29.28562335

Round to nearest tenth.

29.3

Answer:

no se ingles así que no se pero te doy gracias por los puntos

Answer:

A

Step-by-step explanation:

the x values are the same so there is no increase or decrease in slope. therefore the slope is 0

Answer:

158%

Step-by-step

$15.50 - $6 = $9.50 < Profit

Now To find The Percentage of the markup on the lip gloss?

You Divide $9.50  by $6 And You Will Get This 1.58333333333

For A Percent You Move The Decimal Point Back Two Spots And You Get

158%

I Hope You Understand and i hope i helped you

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

[tex]60x=420[/tex]

[tex]x=\dfrac{420}{60}[/tex]

[tex]x=7[/tex]

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

Answer:

x = 3

Step-by-step explanation:

the diagonals bisect each other so:

6x + 2 = 20

subtract 2 from both sides of the equation:

6x = 18

x = 18/6

x = 3

Answer:

f(x) = 3 - x

x = 2

f(2) = 3 - 2

f(2) = 1

Answer:

D.

Step-by-step explanation:

There is no explanation

Answer:

y = 5x + 100

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

7 times 1x equals 7x. Then 7 times 2= 14. Thirdly, 7x plus 3x equals 10x. Lastly, 14 -3 equals 11. So 10-+11 altogether

Answer:

what is the answer to this                    

Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.

Doctor A Doctor B

Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts

745 643 102 763 651 112

726 634 92 736 625 111

769 670 99 735 622 113

765 658 107 759 624 135

756 636 120 748 631 117

742 624 118 756 621 135

757 641 116 765 653 112

748 655 93 761 647 114

770 649 121 768 646 122

738 629 109 761 646 115

Part A

Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?

Step-by-step explanation:

the answer is 19

Step-by-step explanation:

5.7/0.3=19

Answer:

60.8

Step-by-step explanation:

Step 1: Go on g oogle

Step 2: Type "79% of 77"

Step 3: Round your answer 60.83 to 60.8 because it said round to the nearest tenth.

Answer:

$177

Step-by-step explanation:

35.40 * 5 = 177 you multiply 35.40 with 5

Answer:

The system of equation that models the projectile of the two balls is option;

C. y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Step-by-step explanation:

The general equation for vertical (upward) motion under gravity is presented as follows;

h - h₀ = u·t + 1/2·g·t²

Where;

h = The final height reached

h₀ = The initial height

u = The initial velocity

g = The acceleration due to gravity ≈ -32 feet/second

t = The time taken

We can rewrite the above equation with different letters for the variables as follows;

h = y,

h₀ = y₀, and

t = x

Therefore, we have;

y - y₀ = u·x - 1/2 × 32 × x²

y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀

y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀

y = -16·x² + u·x + y₀

For Tara, we have;

u = 12 feet/second

y₀ = 3 feet

Therefore, we get;

y = -16·x² + 12·x + 3

For Mallory, we have;

u = 9 feet/second

y₀ = 3.25 feet

Therefore, we get;

y = -16·x² + 9·x + 3.25

The correct option is therefore;

y = -16·x² + 12·x + 3

y = -16·x² + 9·x + 3.25

Answer:

The mean of the sampling distribution of sample means would be of 23.4 pounds.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

What would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.