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dimaraw [331]
3 years ago
9

= Knowledge Check

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

Slope is -3.

Step-by-step explanation:

The equation to get the slope is y2-y1/x2-x1. So, plug in the points to the equation. -7-8/7-3 = -15/5 = -3/1 = -3.

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Suppose that 29\%29%29, percent of undergraduates at a large university are involved in a campus organization. The administratio
AysviL [449]

Answer:

μ  p ^ =0.29

σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

 

Step-by-step explanation:

The mean of the sampling distribution of a sample proportion is equal to the population proportion.

μ p ^ =p

The population proportion reported is 29%, so p=0.29p.

\mu_{\hat p}=p=0.29μ  

μ p ^ = 0.29

Since σ  p hat = sqare root [ ( p(1-p) )/ n]

After subsitution we get σ  p ^  =  Square root[    ( (0.29)(0.71) )/100   ]

​

6 0
3 years ago
a container for a hanging plant is a half sphere with a diameter of 9 inches. about how much soil does the container hold
stich3 [128]

Answer:

190.9 in³

Step-by-step explanation:

Whenever one is asked to find how much(quantity of something) a certain container can hold,all you need to understand is that you are been asked about the volume of that container

We all know that the volume of a sphere is 4/3 × 22/7 × r³

And since we are dealing with a container in the shape of half a sphere,the volume of that container will now be volume of a sphere divided by 2

If the formula that was given initially was divided by 2,the new formula will look like this:

4/6 × 22/7 × r³

And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2

That is 9/2 = 4.5

Putting the values in the formula,we can now derive the volume of that sphere

4/6 × 22/7 × 4.5³

= 190.9 in³ of soil

5 0
3 years ago
Read 2 more answers
A right cylinder has a diagonal length of 37 and a total surface area of 492.
Aneli [31]

Answer:

Step-by-step explanation:

A right cylinder has a diagonal length of 37 and a total surface area of 492.

What is the height of the cylinder?

A. 35

B. 42

C. 25

D. 17

E. 32

8 0
3 years ago
In a fish tank 2/5 of the fish are sturgeon of these 3/4 are yellow tail. What is the total number of yellow tail in the tank
Oduvanchick [21]

Answer:

0.3

Step-by-step explanation:

Use a calculator

4 0
3 years ago
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th
Usimov [2.4K]

Answer:

a) f(x) = \frac{1}{25.9}

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

The probability density function of the uniform distribution is:

f(x) = \frac{1}{b-a}

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that a = 284.7, b = 310.6.

a. Give a mathematical expression for the probability density function of driving distance.

f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0
2 years ago
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