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malfutka [58]
2 years ago
15

Enter the rate of change of the table below

Mathematics
1 answer:
poizon [28]2 years ago
4 0
The rate of change is 23
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Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st
emmasim [6.3K]

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

7 0
3 years ago
Use the formula you learned to answer the question. If a dogsled team travels 4 kilometers in 8 minutes, what is the speed of th
bonufazy [111]

Answer

C-0.5km

Step-by-step explanation:

you can simplify both the kilometers and minutes to 1 kilometer in 2 minutes or 0.5 kilometer in 1 minute.  Hope this helps!

6 0
3 years ago
Help me please I’d really appreciate it
Semenov [28]

Answer:

I don't know the answer to the question but I just wanted to say I love your profile picture. I love Quackity :) <3

7 0
2 years ago
The sum of 10 times a number and fifteen is added to 11 times the same number. (how do i make this into a algebraic expression?)
Ne4ueva [31]
10a times (15+11) or 10a times 26
6 0
3 years ago
Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is sh
mezya [45]

Answer:

Maggie is incorrect.

Step-by-step explanation:

PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 <em>before</em> dividing.

I hope this helps!

4 0
3 years ago
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