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2 years ago

B is between A and C, if AB=2(x+1), BC=3x+1, and AC=4(x+2), find the value of AC

1 answer:

3 0

2x + 2 + 3x + 1 = 4x + 8

5x + 3 = 4x + 8

5x = 4x - 5

x = -5

therefore

4(-5 + 2)

4(-3)

-12

or

4(-5 + 2)

-20 + 8

-12

either way, it’s the same.

————

answer: AC = -12

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Find the least common denominator of 1/6 and 2/7

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it is it is 42

Step-by-step explanation:

7/42+12/42=19/42

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3 years ago

All help is much appreciated please and thank you

scoundrel [369]

Anddd Similar traingles for one more time.

Here,
RQ/RP = RS/RT = QS/PT = 1/2

Using the values of QS and PT will give,

$\frac{y}{y + 46} = \frac{1}{2} \\ \\ 2y =y + 46 \\ \\ y = 46$

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3 years ago

Which of the following equations have infinitely many solutions? Choose all answers that apply: Choose all answers that apply: (

TiliK225 [7]

Answer:

All options are correct.

Step-by-step explanation:

In option (A), the given equation is

$x-37=x-37$

Add 37 on both sides.

$x-37+37=x-37+37$

$x=x$

Subtract x from both sides.

$x-x=x-x$

$0=0$

LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.

Similarly.

In option (B), the given equation is

$73x-37=73x-37$

$73x=73x$

$0=0$

LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.

In option (C), the given equation is

$37x-37=37x-37$

$37x=37x$

$0=0$

LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.

In option (D), the given equation is

$74x-37=74x-37$

$74x=74x$

$0=0$

LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.

Therefore, all options are correct.

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3 years ago

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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Hitman42 [59]

Answer:

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.

This means that $\mu = 2.5, \sigma = 0.4$

Find the probability that an individual man’s step length is less than 1.9 feet.

This is the p-value of Z when X = 1.9. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.9 - 2.5}{0.4}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668

0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.

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3 years ago