|2x - 3| = 15 solve for x.

Person A leaves his home to visit his cousin, person B, who lives 263 miles away. He travels at an average rate 46 miles per hou

gladu [14]

Answer:

It will take 2 hours after person B leaves before they meet

Step-by-step explanation:

Step 1: Determine expression for calculating speed, distance and time

The expression for calculating distance, speed and time is;

d=s×t

where;

d=distance in miles

s=speed in miles per hour

t=time in hours

Step 2: Distance covered by person A after 0.5 hours

In this case;

d=unknown

s=46 miles per hour

t=0.5 hours

replacing;

d=(46×0.5)=23 miles

Step 3: Determine the remaining distance to person B house

Remainder=Total distance-distance already covered by person A

where;

total distance=263 miles

distance already covered by person A=23 miles

replacing;

Remainder=(263-23)=240 miles

Remaining distance to person B house=240 miles

Step 4: The time it will take for them to meet

The only have a distance (d) of 240 miles left to cover

Since they are moving towards the same direction, there speeds (s) are added together=(46+74)=120 miles per hour

replacing in the expression below;

time=distance/speed

time=(240/120)=2 hours

It will take 2 hours after person B leaves before they meet

6 0

3 years ago

In a survey of women in a certain country the mean height was 62.9 inches with a standard deviation of 2.81 inches answer the fo

Natasha2012 [34]

The question is incomplete. The complete question is :

In a survey of women in a certain country ( ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 99th percentile? (b) What height represents the first quartile? (Round to two decimal places as needed)

Solution :

Let the random variable X represents the height of women in a country.

Given :

X is normal with mean, μ = $62.9$ inches and the standard deviation, σ = $2.81$ inches

Let,

$Z=\frac{X - 62.9}{2.81}$ , then Z is a standard normal

a). Let the $99th$ percentile is = a

The point a is such that,

$$P(X$

$P \left( Z < \frac{a-62.9}{2.81} \right) = 0.99$

From standard table, we get : $P( Z < 2.3263) =0.99$

∴ $\frac{(a-62.9)}{281} = 2.3263$

$a= (2.3263 \times 2.81 ) +62.9$

= 6.536903 + 62.9

= 69.436903

= 69.5 (rounding off)

Therefore, the height represents the $99th$ percentile = 69.5 inches.

b). Let b = height represents the first quartile.

It is given by :

$P( X < b) =0.25$

$P \left( Z < \frac{(b-62.9)}{2.81} \right) = 0.25$

From the standard normal table,

$P( Z < -0.6745) =0.99$

∴ $\frac{(b-62.9)}{2.81}= 0.6745$

$b=(0.6745 \times 2.81) +62.9$

= 1.895345 + 62.9

= 64.795345

= 64.8 (rounding off)

Therefore, the height represents the 1st quartile is 64.8 inches.

8 0

3 years ago

Which of the following is a description of the data with a correlation coefficient of 1?

timama [110]

Answer:

perfect negative correlation

Step-by-step explanation:

correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.

What will be the change : it suggest whether change in value of one variable other will be increase or decrease .

If there is increase in one variable and other also increases it suggest there is positive correlation .

If there is decrease in one variable and other also decrease it suggest there is positive correlation .

how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.

If the value of correlation coefficient is high it means that change in value for one variable is high in to response change in other variable .

It values ranges from -1 to +1 high

while sign depicts type of relation that is positive or negative .

value from - 1 to + 1 depicts strength of the relation .

with - 1 depicting perfect negative correlation

+1 depicting perfect positive correlation.

In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.

5 0

3 years ago

Number five Please I really need it

PolarNik [594]

I think the answer is y=6x

5 0

3 years ago

What's a parabola? What's a hyperbola?

Alborosie

Parabola: is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram below, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.

Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows

Hope this Helps

6 0

3 years ago

Read 2 more answers