A class in New Zealand found a report suggesting that teenagers' heights in New Zealand are approximately
normally distributed with a mean of 160 cm and a standard deviation of 15 cm. They thought the mean height
at their school was probably larger, so they took a random sample of n = 24 students. The mean height of
students in their sample was Ž = 166.5 cm.
To see how likely a sample like theirs was to occur by random chance alone, the class performed a simulation.
They simulated 80 samples of n = 24 heights from a normal population with a mean of 160 cm and standard
deviation of 15 cm. They recorded the mean of the heights in each sample. Here are the sample means from
their 80 samples:

Answer:

6 inches

Step-by-step explanation:

there are 12 inches in a foot

4 ft * 12 = 48 inches

48 - 42 = 6

Cut off 6 inches

Answer:

1 / 9

Step-by-step explanation:

Total number of letters = 9 ; This is the total possible outcomes

Number of letter D = 1 ; this is the required outcome

Recall:

Probability = required outcome / Total possible outcomes

P( choosing D) = 1 / 9

Answer:

11x + 10y

Step-by-step explanation:

The equation in the slope-intercept form is y = x + 3.8

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line that contains the points (–6.4, –2.6) and (5.2, 9).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

So, the equation,

y + 2.6 = {(9 + 2.6)/(5.2 + 6.4)} (x + 6.4)

y + 2.6 = x + 6.4

y = x + 6.4 - 2.6

y = x + 3.8

Therefore, the equation y = x + 3.8 is in the slope-intercept form.

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Answer:The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 4000 x .08 x 5

I = 1600

Answer:

a=5

Step-by-step explanation:

Answer:

B ( 6,-6) ..

I think I'm correct

Hi there!

a. Find the displacement by plugging in the values of the interval:

f(2) - f(0) = 0 - 2 = -2 meters.

Average velocity is the slope, thus:

[tex]v_{avg} = \frac{f(2) - f(0)}{2 - 0} = \frac{0 - 2}{2 - 0} = -1[/tex]

The average velocity for the interval is -1 m/s.

b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:

f(t) = t² - 3t +2

f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.

Acceleration is the second derivative, thus:

f''(t) = 2. The acceleration is 2 m/s² for both endpoints.

c. When the body changes direction, the first derivative changes signs. Thus:

0 = 2t - 3

3 = 2t, t = 1.5 sec. This is where the body changes direction.

Answer: 72 square units

Step-by-step explanation: It is 72 square units because if you count the sides p and q you get 9 and the same with sides q and r you get 8 and if you multiply them together you get 72.

Answer: E and F.

E:

4 * 4 * 4 = 64, and 64 = 64.

F:

-1 * -1 * -1 = 1, and 1 = 1

Answer:

you need help to progress cozy im guessing?

Step-by-step explanation:

Answer: Hope This Helps! :D

Step-by-step explanation:

I need help how to progress cozy

Answer:

1area

2 water

3 food

4 house

Answer:

shredding, incineration, pulping, and pulverization.

Step-by-step explanation:

Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.

Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.

Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.

Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.

An Example of a caravan is eight covered wagons traveling together on the trail. Meaning, option A is correct.

A caravan, travel trailer, camper, tourer, or camper trailer is a trailer towed behind a road vehicle to provide a more comfortable and secure sleeping space than a tent.

It allows people to have their own home on a trip or vacation without relying on a motel or hotel, and it allows them to stay in places where none are available. However, in some countries, campers are restricted to designated sites where fees must be paid.

Caravans range from basic models that are little more than a tent on wheels to those that have several rooms with all of the furniture, furnishings, and equipment of a home. The solid-wall trailers can be made of metal or fibreglass.

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Answer:

sh.345

Step-by-step explanation:

The difference between the price selling with profit and price selling at a loss is 420-320 = 100

Profit is thrice the loss says we can take the difference in prices and divide it into 4 parts, x and 3x, representing the loss and thrice the loss, or profit margin.

x + 3x = 100

4x = 100

x = 25

loss would be 25,

profit would be 75

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

sold at a profit: 420 -75 = sh.345

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

Does this exercise seem similar to what you're doing in class?

Answer:

Nope-

Step-by-step explanation:

24x + 18 = 138

6 (4x + 2) = 132

Answer:

True

Step-by-step explanation:

A function of form y = a^n is an exponential function as long as a>0.

Answer:

meh dont know how to do this tbh

Step-by-step explanation:

Answer:

AHHHHHHHHH

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10

Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9.  Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30

Answer:

2 km

Step-by-step explanation:

Reference angle = 45°

Opposite = u

Hypotenuse = 2√2 km

To find u, apply SOH:

Sin 45° = Opp/Hyp

Sin 45° = u/2√2

√2/2 = u/2√2 (sin 45 = √2/2)

Cross multiply

2*u = √2*2√2

2u = 4

Divide both sides by 2

u = 4/2

u = 2 km

Answer:

D.10

Step-by-step explanation:

its check promise

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rbrbr

brbr

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Answer:

C

Step-by-step explanation:

The cake has a shape of a rectangle prism

first of all we can find the base area, that represents the top of the cake

base area = base x width = 13 x 9 = 117 in^2

Now we have to find the lateral area

base perimeter = (base + width) x 2 = (13 + 9) x 2= 44 in

LA = base perimeter x height = 44 x 2 = 88 in^2

total icing surface:

base area + LA = 117 + 88 = 205 in^2

Answer:

In total Dan dranked 11/8 of his bottle or as a mixed number 1 and 3/8 of his bottle.

Step-by-step explanation:

-2

Step-by-step explanation:

12x＝x+26

-13x＝26

x＝-2

Answer:

3/8 = 9/24

7/6 = 28/24

Step-by-step explanation:

9514 1404 393

Answer:

   196π cm^3 ≈ 615.8 cm^3

Step-by-step explanation:

Put the numbers in the volume formula and do the arithmetic.

  V = 1/3πr^2·h

  V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3

Answer:

B

Step-by-step explanation:

you can use the process of elimination. For all of the answers the minimum and the maximum are incorrect except for option B.

On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.

Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.

Given:

m ∠1 = m ∠2

m ∠2 = m ∠4

We have to prove that m ∠ABC = m ∠EDC

∠EDC = ∠3 + ∠4

m ∠ABC = m ∠1 + m ∠2

m ∠EDC = m ∠3 + m ∠4

m ∠1 + m ∠2 = m ∠3 + m ∠4      

m ∠ABC = m ∠EDC

Hence, by using the given information we can prove that  

m ∠ABC = m ∠EDC.

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Answer:

1 person got 68 inches

4 persons got 69 inches

2 persons got 70 inches

3 persons got 74 inches

1 person got 76 inches