**Answer:**

42°

**Step-by-step explanation:**

the exterior angle is equal to the sum of the 2 far angles from it (from the exterior angle)

so 98-56=42°

hope you understand it

**Answer:**

42

**Step-by-step explanation:**

line TZY is a straight line

Total angles on a straight line is 180

Since angle XZT + XZY = 180

98 + XZY = 180

XZY = 82

angle XYZ + YXZ + XZY = 180

XYZ + 56 + 82 = 180

XYZ + 138 = 180

XYZ = 180 - 138

XYZ = 42

Which equation shown below would have a solution set to the system shown below?

x+ 2y = 4

3x - y = -1

1. 6x-2y = -1

2. 3x - y = 4

3. -2x + 3y = 5

4. 4x + y = -4

2 it is sorry if this is wrong

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

**Answer:**

**a) **0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

**b) **0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

**c) **The distribution of the population is normal, which means that the sample size does not need to exceed 30.

**Step-by-step explanation:**

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

**Normal Probability Distribution:**

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

**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.

**The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.**

This means that [tex]\mu = 200, \sigma = 8.3[/tex]

**a. Find the probability that an individual distance is greater than 210.00 cm.**

This is 1 subtracted by the pvalue of Z when X = 210. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{210 - 200}{8.3}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a pvalue of 0.8849

1 - 0.8849 = 0.1151

0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

**b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm**

Now [tex]n = 20, s = \frac{8.3}{\sqrt{20}} = 1.8559[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 197.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{197.8 - 200}{1.8559}[/tex]

[tex]Z = -1.19[/tex]

[tex]Z = -1.19[/tex] has a pvalue of 0.117

1 - 0.117 = 0.883

0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

**c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?**

The distribution of the population is normal, which means that the sample size does not need to exceed 30.

39 inches is the right answer just did the test on edge

Yup 39 is the correct answer good job :-)

**Answer:**

thanks have a nice day can you please mark me brainliest im trying to rank up and i need 2 more brainlys

**Step-by-step explanation:**

Find the area of this figure

52 is the answer to this question

Kenneth runs 12 laps around a track in 15 min. How many minutes per a lap is that?

**choose your answer from the choices on Slide 2, but you must show how you got your answer on the chart, blank drawing space below, or explain in words**

**Answer: 1.25 minutes per lap**

**Step-by-step explanation:**

Her total time divided by total laps is 15 divided by 12, which is 1.25

**Answer:**

Kenith runs 0.8 laps a minute

**Step-by-step explanation:**

C/2 - 3 + 6/d when c=14 d=3

**Answer:**

6

**Step-by-step explanation:**

14/2 - 3 + 6/3

Divide 14 by 2 to get 7.

7−3+6/3

Subtract 3 from 7 to get 4.

4+6/3

Divide 6 by 3 to get 2.

4+2

Add 4 and 2 to get 6.

6

PLEASEEEE HELP THIS IS DUE TODAY!!!

**Answer: $200**

**Step-by-step explanation:**

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

(-1)15 =

................

The answer is -15 I’m pretty sure

A survey found that 73% of people use streaming services, of those who stream, 28% report that they download

movies,

Find the probability that a randomly selected person uses streaming services and downloads movies,

0.20

0.28

0.38

2.61

**Answer:**

0.20

**Step-by-step explanation:**

please help helppppppp

it a quadrilateral, square, and parallelogram.

find the product 6 * 1/3

**Answer:**

2

**Step-by-step explanation:**

Reduce the numbers with the greatest common factor which is 3

So.. 2

Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?

**Answer:**

2000 minutes on 16 miles

**Answer:**

168.75 minutes

**Step-by-step explanation:**

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

Algebra Unit 2Part 2 Test please show work

This it the test please do as fast as posible and show work. thank you and sorry

A meteorologist stated that 1 foot of snowfall would melt to make 2 inches of water. Based on this rule, how much water should result from 84 inches of snowfall ?

80 I guess is the answer

Mr.moss has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left

Answer:

2

Step-by-step explanation:

I did 8 divided by 4 which is 2.

I hope this helps.

simplify 5p - 3 p + p

the answer is 3p

hope it helps!

**Answer: 3p**

**Step-by-step explanation:**

**5 − 3 + = **

**3**

Pls help this is due today! Find the value of x, then the value of each angle:

The top angle is 56 degrees

The bottom angle is 34 degrees

X=29

The bottom angle is 34 degrees

X=29

**Answer:**

x = 29

angles are 90 degrees, 56 degrees, and 34 degrees

**Step-by-step explanation:**

90 + (2X-2) + (X+5) = 180

3X + 93 = 180

3X = 87

X = 29

A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?

5 inches

6 inches

8 inches

12 inches

b. if it is 7 inches wide it will be 6 inches tall

**Answer:**

5 inches

**Step-by-step explanation:**

Hope I helped

Write the equation in standard form for the circle x^2 + y^2 + 16x + 28 = 0.

**Answer:**

**( x + 8 ) ^2+ y^2= 36**

**Step-by-step explanation:**

Work out the size of angle x.

**Answer:**

First: 105

Second: 65

Third: 133

Fourth: 129

Fifth: 60

If 42,800 dollars is invested at an interest rate of 5 percent per year, find the value of the investment at the

end of 5 years for the following compounding methods.

What is the

Annual $

Semiannual $

Monthly $

Daily $

Continuously $

**Answer:**

Annual $54,624.85

Semiannual $54,787.62

Monthly $54,927.75

Daily $54,955.35

Continuously $54,955.35

**Step-by-step explanation:**

If 42,800 dollars are invested at an interest rate of 5 percent per year, to find the value of the investment at the end of 5 years for the following compounding methods, the following calculations must be performed:

Annual $54,624.85

42,800 (1 + 0.05 / 1)^5x1 = X = 54,624.85

Semiannual $54,787.62

42,800 (1 + 0.05 / 2)^5x2 = X = 54,787.62

Monthly $54,927.75

42,800 (1 + 0.05 / 12)^5x12 = X = 54,927.75

Daily $54,955.35

42,800 (1 + 0.05 / 365)^5x365 = X = 54,955.35

Continuously $54,955.35

42,800 (1 + 0.05 / 365)^5x365 = X = 54,955.35

Please help I don't get this

**Answer:**

18n+9

**Step-by-step explanation:**

9(2n+1)

multiply the 9 with the numbers in the parenthesis18n+9

5th grade math/// In the first week of a food drive, the 5th grade collected 2 3/4 bags of canned goods. The goal is to collect 2 1/2 times as many bags in the second week. How many bags is the 5th grade hoping to collect in the second week?

The number of **bags **that would be collected in the second week is 6 7/8 bags.

A **mixed number **is a number that is made up of an integer and a proper fraction. A proper fraction is a fraction that has a numerator that is less than the denominator. An example of a **mixed number **is 2 3/4.

In order to determine the number of bags that would be collected in the second week, **multiply **2 3/4 by 2 1/2. **Multiplication **is the mathematical operation that is used to determine the product of two or more numbers.

Number of **bags **collected in the second week = 2 3/4 x 2 1/2

11/4 x 5/2 = 55/8 = 6 7/8 bags

To learn more about** multiplication of fractions,** please check: https://brainly.com/question/1114498

#SPJ1

What is the perimeter of the triangle?

**Answer: **3y + 5 cm

**Step-by-step explanation: **The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

The original cost is $25. The item has a discount of 20% off. What is the discount amount?

**Answer:20 dollars.**

not sure

**Step-by-step explanation:**

Helpppppp please i need help on this question

**Step-by-step explanation:**

K=12 if you want explanation i will

Explanation:

k + 6 = 18

k = 18 - 6

k = 12

k + 6 = 18

k = 18 - 6

k = 12

What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1

**Answer:**

-6

**Step-by-step explanation:**

The equation is y = -7x - 6.

The initial value is found when x = 0.

y = -7(0) - 6

y = 0 - 6

y = -6

please what is the answer? i need the steps too please help me

Do not write this one actually I have just give you one example

Solve the system by substitution.

2x + 3y = 32

y = x + 9

**Answer:**

x=1 and y=10 (1,10)

**Step-by-step explanation:**

2+30=32

10=1+9

PLEASE ANSWER THIS QUESTION

Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.

**Answer:**

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

= 5

They are equivalent because when they are both simplified they have the same answer 5

Make a equation for the scatter plot line
HELLPPPIn literature, symbols are not found in which of the following? (1 point)Setting descriptionsDescription of colorsCharacters' namesAuthor's name
Grady has an inflamed knee from doing a lot of physical exercise the day before. He stops by the pharmacy to find a drug to relieve the inflammation and asks the pharmacist to recommend a drug. The pharmacist asks Grady if he has a history of peptic ulcers. Which best describes why the pharmacist needs to know this?A peptic ulcer could result in a drug-disease interaction by taking beta blockers, a common anti-inflammatory medication.A peptic ulcer could result in a drug-drug interaction by taking aspirin, a common anti-inflammatory medication. A peptic ulcer could result in a drug-disease interaction by taking aspirin, a common anti-inflammatory medication.A peptic ulcer could result in a drug-drug interaction by taking beta blockers, a common anti-inflammatory medication.
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Suppose two angles in a coordinate plane, one measuring 80 and the other measuring 160, were both rotated 180 about the origin and then translated 40 units down. Which of these would be a measure ofone of the resulting angles? Select all that apply.1603408040120260
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colors that reside directly across from one another no the color wheeel ate calles c.
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PLEASE HELPPPP!!!! ITS ALMOST DUE
Please help me!! I will mark brainliest while using a search engine, young people can easily tell the difference between regular search results and paid advertisementstruefalse
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'sons of mine'. Who is speaking here?
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3 + 9y = 21 3 +8y = -18find the solution by system of equations
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can you answer this, there is no right or wrong answer. I just dont have many ideas