is it true that perpendicular lines meet one another at 100°​

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

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The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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D its all about the process of elimination  you just got to un connect the

Answer:

9/5

Step-by-step explanation:

a. The missing value in the table 0.03

b. The mean is 4.18

c. The variance is 3.23 and standard deviation is 1.80

d.  The larger the standard deviation, the greater the spread of the probability distribution.

A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.

a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.

b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:

E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)

E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18

So, the mean number of calls per hour to the call center in the last month is 4.18.

c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:

Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)

Var(X) = 3.23

The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:

=> SD(X) = √(Var(X)) = √(3.23) = 1.80

d. Interpretation:

The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.

The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.

This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).

Complete Question:

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.

x 1 2 4 5 6 7

P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03

a. What is the missing value in the table?

b. Find the mean.

c. Find the variance and standard deviation.

d. Interpret your results.

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Answer:

Thirty-six (word form)

Step-by-step explanation:

Hope this helps! :D

Answer:

44

Step-by-step explanation:

vertical angles

Answer:

49°

Step-by-step explanation:

arc AB subtends a central angle of 98°

Let O be the center of the circle.

∠OAB = ∠OBA = (180°-98°)/2 = 41°

Assuming that BC  is tangent to the circle, ∠OBC = 90°

∠ABC = ∠OBC - ∠OBA = 90° - 41° = 49°

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

\(f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft\)

The height f at t = 3 seconds is given by:

\(f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft\)

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

Answer:

false, it would be 8,000

Answer:

6.28375

Step-by-step explanation:

times the radius will fit = x

8 * x = 50.27

x= 50.27÷8

x=6.28375

Answer:

40% decrease

50=100

30/50=x/100

30=60% of 50

40% decrease of 50 is 30

Step-by-step explanation:

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Answer:

A)  m∠3 + m∠4 = 180

Step-by-step explanation:

Both angles make a straight line which has an angle of 180.

Answer:

A

Step-by-step explanation:

You see how the line t is horizontal. That's 180 degree angle. So when broken out with angles 3 and 4, it should still add to 180

Answer:

the monthly payment is $18,750

Step-by-step explanation:

The computation of the monthly payment is shown below:

= (Loan amount × given percentage) ÷ number of months in a year

= ($300,000 × 75%) ÷ 12 months

= $18,750

Hence, the monthly payment is $18,750

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer:

are you telling answer?

For the triangle which is mentioned above the measurement of the base will be 10 cm.

What is a Triangle?

With three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle.

    The area of a triangle is A=1/2b*h

Here, A is the area of  triangle =45.5 square units

          b will be the  base(NEED TO FIND)

          h will be  the height = 9.1cm

Substituting,  45.5 = (1/2)×b×9.1

                       b=  (45.5×2)/9.1

                        b=  10 cms

The base value will be: 10cms

The Complete Question: The area of the triangle is 45.5 square units and the height of the triangle is given as 9.1 cm. What is the measurement of the base?

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Answer:

49 total pounds

Step-by-step explanation:

If a 1 piece of ham is 1 pound then 9 pieces is 9 pounds if turkey si 4 pounds then 10 turkeys is 40 pounds so our answer is 49 total pounds.

Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

Refer to sheet attached. This whole problem is very intuitive. If you stare at it enough, it’ll all make sense.

Answer:

Angle 1: 130

Angle 2: 50

Angle 3: 130

Angle 4: 50

Angle 5: 130

Angle 6: 50

Angle 7: 130

Angle 8: 50

Step-by-step explanation:

Because angle 1 and 2 are supplementary we can just do 180-130 to find angle 2. Also angle 3 is same to angle 1 while angle 4 is same to angle 2. Also angle 5 would be 130 and we just repeat the same thing we did to angles 1-4.

Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

Answer: $2.10

Step-by-step explanation: 3% of $70 is $2.10.

The total cost would be $72.10

How to calculate percentages:

Divide the number that you want to turn into a percentage by the whole. In this example, you would divide 2 by 5. 2 divided by 5 = 0.4. You would then multiply 0.4 by 100 to get 40, or 40%.

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

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Note- this answer was taken a little from "Byjus, shaala and remaining I typed myself.

\(610 \times t = d\)

Step-by-step explanation:

\(915 \: \: divided \: \: by \: \: 1.5 = 610\)

2. Turn it into a equation

well I try my best

To write the equation of a circle centered at (h, k) with a diameter of d, we can use the standard form of the equation:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the center of the circle and r represents the radius.

In this case, the center of the circle is (-4, 4), and the diameter is 14. The radius is half of the diameter, so the radius would be 14 / 2 = 7.

Substituting the values into the equation, we have:

(x - (-4))^2 + (y - 4)^2 = 7^2

Simplifying further:

(x + 4)^2 + (y - 4)^2 = 49

Therefore, the equation of the circle centered at (-4, 4) with a diameter of 14 is:

(x + 4)^2 + (y - 4)^2 = 49