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Grace [21]
3 years ago
12

Y is between points J and A. JA=17 and YA=3. What is JY?

Mathematics
2 answers:
cluponka [151]3 years ago
7 0

Answer:

JY= 14

Step-by-step explanation:

JA=17 and YA=3.

Y is between points J and A.

JA = JY+YA because y is between J and A

Plug in the given values JA=17 and YA=3.

JA = JY+YA

17 = JY+3

Subtract 3 from both sides

17-3 = JY+3-3

14 = JY

So JY= 14

Gennadij [26K]3 years ago
3 0
JY would be 14 because of simple subtraction
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A company compiles data on a variety of issues in education. In 2004 the company reported that the national college​ freshman-to
nasty-shy [4]

Answer:

1) Randomization: We assume that we have a random sample of students

2) 10% condition, for this case we assume that the sample size is lower than 10% of the real population size

3) np = 500*0.66= 330 >10

n(1-p) = 500*(1-0.66) =170>10

So then we can use the normal approximation for the distribution of p, since the conditions are satisfied

The population proportion have the following distribution :

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

And we have :

\mu_p = 0.66

\sigma_{p}= \sqrt{\frac{0.66(1-0.66)}{500}}= 0.0212

Using the 68-95-99.7% rule we expect 68% of the values between 0.639 (63.9%) and 0.681 (68.1%), 95% of the values between 0.618(61.8%) and 0.702(70.2%) and 99.7% of the values between 0.596(59.6%) and 0.724(72.4%).

Step-by-step explanation:

For this case we know that we have a sample of n = 500 students and we have a percentage of expected return for their sophomore years given 66% and on fraction would be 0.66 and we are interested on the distribution for the population proportion p.

We want to know if we can apply the normal approximation, so we need to check 3 conditions:

1) Randomization: We assume that we have a random sample of students

2) 10% condition, for this case we assume that the sample size is lower than 10% of the real population size

3) np = 500*0.66= 330 >10

n(1-p) = 500*(1-0.66) =170>10

So then we can use the normal approximation for the distribution of p, since the conditions are satisfied

The population proportion have the following distribution :

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

And we have :

\mu_p = 0.66

\sigma_{p}= \sqrt{\frac{0.66(1-0.66)}{500}}= 0.0212

And we can use the empirical rule to describe the distribution of percentages.

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

Using the 68-95-99.7% rule we expect 68% of the values between 0.639 (63.9%) and 0.681 (68.1%), 95% of the values between 0.618(61.8%) and 0.702(70.2%) and 99.7% of the values between 0.596(59.6%) and 0.724(72.4%).

8 0
3 years ago
Plz help me
AysviL [449]

Answer:

96 seconds

Step-by-step explanation:

In order to find how long it will take to empty the bucket, you must multiply the number of gallons by the reciprocal of the fraction.

1. Reciprocal of \frac{1}{3} is \frac{3}{1} which is 3

2. multiply 32 by 3 to get your answer, 96.

I hope this helped!

8 0
3 years ago
In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?
stellarik [79]

Answer:

k is the vertical shift

Step-by-step explanation:

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

This gives the parabola in vertex form

(h,k) is the vertex where h is the x coordinate and k is the y coordinate

k is the vertical shift

4 0
3 years ago
There are 72 South American animals in the Springdale zoo. Thats is more than half the number of African animals in the zoo. Wri
natita [175]
172 = 1/2 * x + 45
172 = 1/2x + 45             / - 45 (both sides)
127 = 1/2x                    / * 2 (both sides)
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8 0
3 years ago
Write an equation of the line that passes through the given point and has the given slope.
Molodets [167]

Answer:

y=-x-4

Step-by-step explanation:

You can write the equations in point-slope form first.

   1) y+3=-(x+1)

   2) Then you can convert it into slope intercept form

   3) y=-x-1-3

   4) y=-x-4

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2 years ago
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