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2 years ago

6

A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles. What is the probability that you choose a red marble and

then a green marble assuming you replace the first marb

2 answers:

adell [148]2 years ago

7 0

Answer:

Step-by-step explanation:

denis23 [38]2 years ago

6 0

I think it’s 5/12 + 2/12

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2 is multipled by the difference of a number and 4.

Nikitich [7]

Answer:

4

Step-by-step explanation:

it is 4 because 4-2=2

2*2=4

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2 years ago

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Nine less than a number n n is written as

dedylja [7]

"Less than" means subtraction

The order they appear in tells me to subtract 9 from N.

n - 9

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2 years ago

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4. The average annual income of 100 randomly chosen residents of Santa Cruz is $30,755 with a standard deviation of $20,450. a)

Umnica [9.8K]

Answer:

a) The standard deviation of the annual income σₓ = 2045

b)

<em>The calculated value Z = 0.608 < 1.645 at 10 % level of significance</em>

<em>Null hypothesis is accepted </em>

<em>The average annual income is greater than $32,000</em>

c)

<em>The calculated value Z = 1.0977 < 1.96 at 5 % level of significance</em>

<em>Null hypothesis is accepted </em>

<em>The average annual income is equal to $33,000</em>

<em>d) </em>

<em>95% of confidence intervals of the Average annual income</em>

<em>(26 ,746.8 ,34, 763.2)</em>

<u>Step-by-step explanation:</u>

Given size of the sample 'n' =100

mean of the sample x⁻ = $30,755

The Standard deviation = $20,450

a)

The standard deviation of the annual income σₓ = $\frac{S.D}{\sqrt{n} }$

= $\frac{20,450}{\sqrt{100} }= 2045$

b)

Given mean of the Population μ = $32,000

Given size of the sample 'n' =100

mean of the sample x⁻ = $30,755

The Standard deviation ( σ)= $20,450

<u><em>Null Hypothesis:- H₀</em></u>: μ > $32,000

<u><em>Alternative Hypothesis</em></u>:H₁: μ < $32,000

Level of significance α = 0.10

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{30755-32000 }{\frac{20450}{\sqrt{100} } }$

Z= |-0.608| = 0.608

<em>The calculated value Z = 0.608 < 1.645 at 10 % level of significance</em>

<em>Null hypothesis is accepted </em>

<em>The average annual income is greater than $32,000</em>

c)

Given mean of the Population μ = $33,000

Given size of the sample 'n' =100

mean of the sample x⁻ = $30,755

The Standard deviation ( σ)= $20,450

<u><em>Null Hypothesis:- H₀</em></u>: μ = $33,000

<u><em>Alternative Hypothesis</em></u>:H₁: μ ≠ $33,000

Level of significance α = 0.05

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{30755-33000 }{\frac{20450}{\sqrt{100} } }$

Z = -1.0977

|Z|= |-1.0977| = 1.0977

The 95% of z -value = 1.96

<em>The calculated value Z = 1.0977 < 1.96 at 5 % level of significance</em>

<em>Null hypothesis is accepted </em>

<em>The average annual income is equal to $33,000</em>

<em>d) </em>

<em>95% of confidence intervals is determined by</em>

<em></em> $(x^{-} - 1.96 \frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} })$ <em></em>

<em></em> $(30755 - 1.96 \frac{20450}{\sqrt{100} } , 30755 +1.96 \frac{20450}{\sqrt{100} })$ <em></em>

<em>( 30 755 - 4008.2 , 30 755 +4008.2)</em>

<em>95% of confidence intervals of the Average annual income</em>

<em>(26 ,746.8 ,34, 763.2)</em>

<em></em>

<em></em>

4 0

2 years ago

What are the factors of a(3+ y)

Andrew [12]

Answer:

2 factors.

Step-by-step explanation:

A factor is something which is multiplied by something else. (It can be a variable, number or term).

In this example, there are 2 factors: a & (3+y).

Hope this helps! Have a great day!

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2 years ago

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Use the order of operations to find the value of the expression 2 + 3 x 16 - 2 x 21 - 3

astra-53 [7]

Answer

5

Step-by-step explanation:

2+3x16-2x21-3

2+ (3x16)- ( 2x21) -3

2 + 48 - 42 -3

50 -42-3

8-3= 5

8 0

1 year ago

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