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2 years ago

110 120 130 140 150 160

Mathematics

2 answers:

ycow [4]2 years ago

7 0

Answer:

Step-by-step explanation:

Given the data:

Weight ____Height

110 _______ 120

130 _______140

150 _______160

From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.

adelina 88 [10]2 years ago

5 0

Answer:

D) A cluster between height of 110 cm to 160 cm.

Step-by-step explanation:

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A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye

Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we select appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{x}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{x}=\sqrt{n}\sigma$

The information provided is:

μ = $970

σ = $129

n = 102

Since the sample size is quite large, i.e. n = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

$\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)$

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

$P (\sum X \leq 100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}$

$=P(Z$

*Use a z-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0

2 years ago

Their is a rectangle that has measurements in inches. If the width is 7/8 of an inch and the height is 2/3 of an inch, what is t

Alex Ar [27]

Answer:

Area of a rectangle = 7/12 of an inch

Step-by-step explanation

Area of a rectangle = Length × width

In this case, the length is represented by height

Height = 2/3 of an inch

Width = 7/8 of an inch

Area of a rectangle = Length × width

= 2/3 × 7/8

= (2 * 7) / (3 * 8)

= 14 / 24

= 7 / 12

Area of a rectangle = 7/12 of an inch

7 0

2 years ago

Find equation of the line passing through the given point in parallel to given equation. write your answer in slope intercept fo

denpristay [2]

Answer:

3) y = (7/2)x -12
4) y = 3x -5
7) y = (1/3)x +4/3
8) y = (-4/3)x +8/3

Step-by-step explanation:

In every case, you can ...

replace any constant in the equation by 0
for point (h, k), replace x with (x-h) and y with (y-k), then simplify
solve for y (add the opposite of the y-term; divide by the y-coefficient)

3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0

... y = (7/2)x -12

4) (y+2) = 3(x-1)

... y = 3x -5

7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0

... y = (1/3)x +4/3

8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0

... y = (-4/3)x +8/3

7 0

3 years ago

Which type of transformation is shown here?

Marina CMI [18]

it is a translation

8 0

3 years ago

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A large swimming pool has a perimeter of 1,004 meters, this rectangular-shaped pool is 40 meters longer than 5 times its width.

ANEK [815]

Width is 996 hope its right only in 9th soooooo

4 0

3 years ago