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Alexandra [31]
3 years ago
6

17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.

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What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su
dalvyx [7]

The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x  - 4x³√10x

<h3>How to determine the simplified product?</h3>

The complete question is added as an attachment

From the attached figure, the product expression is:

2√8x³(3√10x⁴ - x√5x²)

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) =  2 *2x√2x(3x²√10 - x²√5)

Evaluate the products

2√8x³(3√10x⁴ - x√5x²) =  4x√2x(3x²√10 - x²√5)

Open the bracket

2√8x³(3√10x⁴ - x√5x²) =  12x³√20x  - 4x³√10x

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 24x³√5x  - 4x³√10x

Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x  - 4x³√10x

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5 0
2 years ago
A and B are independent events. If P(A) = 0.50 and P(A and B) = 0.20, find P(B).
rewona [7]

The independent events are illustrations of probability, and the value of P(B) is 0.40

<h3>How to determine the value of P(B)?</h3>

The given parameters are:

P(A) = 0.50

P(A and B) = 0.20

Two events A and B are independent, if

P(A and B) = P(A) * P(B)

So, we have:

0.50 * P(B) = 0.20

Divide both sides by 0.50

P(B) = 0.40

Hence, the value of P(B) is 0.40

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5 0
2 years ago
In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t=\frac{X-M}{\frac{s}{\sqrt{N} } } where

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  • s is the standard deviation of the sample (0.8)
  • N is the sample size (13)

If we put these numbers in the formula:

t=\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } } =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

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3 years ago
Solve -3x+y=-7 by slope intercept form
marin [14]

can u add picture?

if u dont add picture i cant solve sorry...

8 0
3 years ago
18-12=
kompoz [17]

Answer:

her score was 18/30. for 18+12=30 and out of 30, she had 18 correct

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11 months ago
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