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alekssr [168]
3 years ago
14

Select all ordered pairs that satisfy the function y=4x+3.

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

I suppose that you should have given some pairs to choose from.

Anyway, I can tell you how to do it. Given a pair (a,b), you have to substitute a and b to x and y respectively, and see if you get something true.

For example, the pair (1,7) satisfies the function, because the substitution yields

7=4\cdot 1+3

which is true. On the other hand, the pair (19,3) doesn't satisfy the function, because

3=4\cdot 19+3

is clearly false.

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A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17
eimsori [14]

Answer:

Kindly check explanation

0.57691

0.4719

Step-by-step explanation

A.) The distribution of sample means must follow a normal distribution ;

Mean = 64 ; Standard deviation = 17 ;

Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155

N(64 ~ 17)

Given that:

mean (m) = 64

Sample size (n) = 20

Standard deviation (s) = 17

Find

P(x < 67.3)

Z = (x - m) / s

Zscore = (67.3 - 64) / 17

Zscore = 0.1941176

P(Z < 0.194) = 0.57691 (Z probability calculator)

(c) Find P(x > 65.2).

Zscore = (65.2 - 64) / 17

Zscore = 0.0705882

P(Z > 0.0705) = 0.4719 (Z probability calculator)

5 0
3 years ago
Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below:
Ivan
Answer: translated according to the rule <span>(x, y) →(x + 8, y + 2) and reflected across the x-axis

Reasoning:

</span>1) The translation options are x + 8 or x + 2 and y + 2 or y + 8.

That means that the points are translated to the right and upward.

2) Then, you need to rotate the figure over the x-axis to translate it to the fourth quadrant.

To find the answer you can choose just one point to verify the rule.

3) Using the point D (-2,2) which is translated to D' (6, - 4) and knowing that the rotation over the x-axis keeps the x-coordinate unchanged while the y-coordinate is transformed into its negative, you can conclude that

3a) first the point was translated 8 units to the right and two units upward this is to a poin with x-coordinate  -2 + 8 = 6 and y-coordinate 2 + 2 = 4

3b) second the point was reflected over the x -axis keeping the same x-coordinate  x = 6 and transforming the y-coordinate into y = - 4.

So, the rule has been discovered: (x, y) →(x + 8, y + 2) and reflected across the x-axis

7 0
3 years ago
Read 2 more answers
Max has three blue and two red shirts. On each day of the three days,Monday,Tuesday and Wednesday, he selects one shirt at rando
kap26 [50]

Answer:

blue onwkekejejehehebebwbwwnjsksksskskksjskwksjejrjrjjr

7 0
3 years ago
Read 2 more answers
The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a
posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.2

P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532  

Thus,

P_{20}=155.4532

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

7 0
3 years ago
Please help with this!!
natali 33 [55]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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