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3 years ago

Please help with algebra problem

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

To solve this problem you must aplpy the proccedure below:

1. You have that the lab technician mixed 520 ml solution of water and alcohol and 3% is alcohol.

2. ml of alcohol:

520 ml----100%
x----3%

x=3x520/100
x=15.6 ml

3. ml of water:

y=520 ml-15.6 ml
y=504.4 ml

14. Therefore, as you can see, the answer is:

15.6 ml of alcohol and 504.4 ml of water were used by the lab technician.

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A supervisor records the repair cost for 22 randomly selected VCRs. A sample mean of $75.50 and standard deviation of $18.07 are

Virty [35]

Answer:

The 99% confidence interval for the mean repair cost for the VCRs

(65.801, 85.199)

Step-by-step explanation:

Explanation:-

Mean of the sample(x⁻) = $75.50

Given the standard deviation of the sample (S) = $18.07

Given the size of the sample 'n' = 22

Degrees of freedom = n-1 =22-1 =21

critical value t₍₀.₀₁, ₂₁₎ = 2.5176

The 99% confidence interval for the mean repair cost for the VCRs

$(x^{-} - t_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} +t_{0.01} \frac{S.D}{\sqrt{n} })$

$(75.50 - 2.5176 \frac{18.07}{\sqrt{22} } , 75.50 +2.5176 \frac{18.07}{\sqrt{22} })$

( 75.50 - 9.699 , 75.50 + 9.699 )

(65.801, 85.199)

Final answer:-

The 99% confidence interval for the mean repair cost for the VCRs

(65.801, 85.199)

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3 years ago

One pound is equal to 16 ounces. The function O(p) takes a weight in pounds (as input) and returns a weight in ounces (as output

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4 years ago

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probabili

Pavlova-9 [17]

Answer:

Mean = 7.5

Standard Deviation = 1.4

Values of 4.8 peas or fewer are significantly low.

Values of 10.2 peas or fewer are significantly high

The result is significantly low, because 2 peas with green pods is less than 4.8 peas.

Step-by-step explanation:

Given

n = 10

p = 0.75

a. Calculating mean and Standard deviation

The mean of a binomial distribution is the product of the sample size and the probability

Mean = np

Mean = 10 * 0.75

Mean = 7.5

Calculating standard deviation

The standard deviation of a binomial distribution is the product of the sample size and the probability p and q

where q = 1 - p

q = 1 - 0.75

q = 0.25

σ = √npq

σ = √(10 * 0.75 * 0.25)

σ = 1.36930639376291528364242

σ = 1.4 --- Approximated

Using rule of thumb;

The rule of thumb tells us that the usual range of values is 2 within the standard deviation of the mean

i.e u ± 2σ

u - 2σ = 7.5 - 2(1.369) = 4.762 = 4.8

u + 2σ = 7.5 + 2(1.369) = 10.238 = 10.2

c. The result is significantly low, because 2 peas with green pods is less than 4.8 peas.

5 0

3 years ago