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3 years ago

5

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's

age is _____. 6 12 18 24

1 answer:

Marizza181 [45]3 years ago

5 0

The correct answer is 18.

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Which is the equation of a line that passes through the point (3.-4

gtnhenbr [62]

Answer:B

Step-by-step explanation:

A. y = 2x-11

B. y = 2x-10

c. y = 2x-4

D. y=2x-2

Recall, the slope intercept equation

y= mx+c

Assuming c is held constant in each scenario

Looking at A

m = 2, c = -11

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c =-10

-10 does not correspond to -11 given

Let's try B

m= 2, c = -10

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c = -4-6 = -10

This intercept correspond with the intercept in B which is -10

Let's look at C

m= 2, c = -4

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c = -4-6 = -10

-10 does not correspond to -4 given

Let's try D

m= 2, c = -2

Equation of the line that passes through the point (3.-4)

-4 = 2×3 + c

c = -4-6 = -10

-10 does not correspond to -2 given

7 0

3 years ago

How would you describe an angle to someone who had never heard of one before? How would you describe how it is measured? Is it t

valkas [14]

An angle is where two lines intersect at a point. It is measured by the distance between the two lines in degrees. Boom. Did it without math-ey words. i'm da best

7 0

3 years ago

The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency

choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when $n = 29, p = 0.78$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098$

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

$P = (0.78)^{7}*0.22 = 0.0386$

3.86% probability that the first woman is reached on the 8th call

4 0

3 years ago

3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$y_{1}=2 \text {. }$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$

Hence, slope-intercept form of equation is given as y=-2x-2.

7 0

2 years ago

-2-2x+3x+2 in simplified expression

Nadusha1986 [10]

Answer: 1x+0

Step-by-step explanation:

Put the like terms together I believe

7 0

3 years ago

Read 2 more answers