1) Find the missing angle.
31°
949

Answer:

Step-by-step explanation:

Area of triangle:

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

See attached for details

The area is:

Answer:

$428, with the sales tax being $28.

Step-by-step explanation:

400 x 7/100 = 28

400+28=428

Answer:

x=78

Step-by-step explanation:

2/3(9+x)=-5(4-x)

6+2/3=-20+x

6=-20+1/3x

x=78

Answer:

x=6

Step-by-step explanation:

Distribute.

2/3 * 9 = 6

2/3 * x = 2/3x

Distribute other side.

-5*4 = -20

-5 * -x = 5x

Rewrite.

6 + 2/3x = -20 + 5x

Subtract 5x from both sides.

-13/3x + 6 = -20

Subtract 6 from both sides.

-13/3x = -26

Multiply -3/13 to both sides.

x=6

Answer:

Step-by-step explanation:

Use the law of sines:

Apply to the given triangle:

Answer:

1/7 or 0.14

Step-by-step explanation:

Answer:

0.14

Step-by-step explanation:

All I did was plug it into my calculator. If you don't have one, you can use your phone or computer. Both devices have calculators programmed in. This answer is not the exact answer; it is just the first two decimals.

Please let me know if you need more help. Hope this helps!

Answer:

E

Step-by-step explanation:

When is comes to a system of equations, the point where the lines intercept is the answer.

Answer:

110

Step-by-step explanation:

The first step is to rearrange the number from smallest to the biggest

62, 76, 80, 83, 90, 110, 110, 121, 147, 160, 164

Median is described as the middle number

Hence the median is 110

Answer:

1. 18

2. 49.5

3. 48

Step-by-step explanation:

1. Since it is 3 dogs to 1 person we need to multiply 6 with 3, so we get 18 dogs!

2. Since 2 books equal 8.25, we just need to multiply 8.25 by 6, which we get 49.5 from!

Hope this helps and don't forget to follow!

Answer:

The standard deviation of the number of females in the sample is 3.21.

Step-by-step explanation:

For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.

Standard deviation of the hypergeometric distribution:

We have that:

N is the population size.

n is the sample size.

s is the number of successes in the sample.

The standard deviation is given by:

[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]

A small liberal arts college in the Northeast has 350freshmen.

This means that [tex]N = 350[/tex]

One hundred five of the freshmen are female.

This means that [tex]s = 105[/tex]

Suppose sixty freshmen are randomly selected

This means that [tex]n = 60[/tex]

Find the standard deviation of the number of females in the sample.

[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]

The standard deviation of the number of females in the sample is 3.21.

Answer:

0.04%

Step-by-step explanation:

To find a percentage, we want to create a ratio of a portion by the total.

Our portion is 2.

Our total is 5000.

Let's create the ratio by dividing the numbers.

2/5000

Divide.

= 0.0004

Multiply this by 100 to find the percentage.

0.04%

This is your answer.

Check your answer by plugging it into a percentage equation.

0.04/100 of 5000 = 2

0.0004 • 50000 = 2

2 = 2

Your answer is correct.

Hope this helps!

Answer:

y2=14y-24

y2-14y+24=0

y2-2y-12y+24=0

yx(y-2)-12(y-2)=0

(y-2)x(y-12)=0

y-2=0

y-12=0

y=2

y=12

y1=2,y2=12

x4-81=0

x4=81

x=+3

x=-3

x=3

x1=-3.x=3

Answer:

To do this you need to add both sides by 8. yw

Step-by-step explanation:

Answer:[tex]\frac{1}{42}[/tex]

Step-by-step explanation:

1 out of 7 times 1 out of 6

[tex]\frac{1}{7} *\frac{1}{6} = \frac{1}{42}[/tex]

Answer:

area is 26.75 units^2

Step-by-step explanation:

Top Triangle area is (3.5*9)/2=15.75

Square area is 2*2=4

Left bottom triangle is (2*2)/2=2

bottom right triangle is (2*5)/2=5

15.75+4+2+5=26.75

Answer:

14 degrees is th warmest

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

Answer:

x = 9

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

The solution to the equation 4x - 6 = 30 is x = 9.

Given the equation in the question:

4x - 6 = 30

To solve the equation 4x - 6 = 30, first, isolate the term with the variable:

4x - 6 = 30

Add 6 to both sides of the equation to isolate the term with the variable:

4x - 6 + 6 = 30 + 6

Add -6 and 6

4x + 0 = 30 + 6

4x = 30 + 6

Add 30 and 6

4x = 36

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 36/4

x = 36/4

x = 9

Therefore, the value of x is 9.

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Answer:

52 pints in 6.5 gallons.

Step-by-step explanation:

6.5 *8= 52

Answer:

52 pints

Step-by-step explanation:

6.5 * 8 = 52

(*8 because there are 8 pints in a gallon)

Answer:

C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

The Delphi method is a structured communication framework or technique that is typically used as an interactive forecasting method to arrive at a group decision or opinion by relying on the feedback from a panel of experts. The individual opinions of the panel of experts are modified to ensure anonymity and are mainly an unbiased exchange of ideas, so as to produce a convergence of opinions.

Hence, the Delphi method used for forecasting uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Answer: q=5/3

Step-by-step explanation:

Let's take our equation

7/3=q+2/3

-2/3   -2/3

5/3=q

q=5/3

Answer: q = 5/3

Step-by-step explanation: Step 1: Flip the equation.

q + 2/3 = 7/3

Step 2: Subtract 2/3 from both sides.

q + 2/3 - 2/3 = 7/3 - 2/3

Answer:

Yes

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The area of the triangle.

= 1/2 x base x height

The area of the triangle is 105760 cm².

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

In ΔVWX.

w = 680 cm

∠X=80°

∠V=32°

This means,

∠W + ∠X + ∠V = 180

∠W = 180 - 112

∠W = 68°

This means,

68° = 680

1° = 10

Now,

∠X=80°

x = 800 cm

∠V=32°

v = 320 cm

Now,

           V

        /   |   \

(x)   /     |     \  (w)

   /        |        \

W         M        X

          (v)

680² = VM² + (320/2)²

462400 = VM² + 25600

VM² = 436800

VM = 661 cm

Thus,

The area of the triangle.

= 1/2 x base x height

= 1/2 x 320 x 661

= 160 x 661

= 105760 cm²

Learn more about triangles here:

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Answer:

Step-by-step explanation:

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 50                                    38

+12                                    +15

62                                     53

+12                                   +15

74                                     68                        Four months

+12                                  + 15

86                                     83

+12                                   +15

98                                    98