Point A is a representation of which number on the number line?

The mean speed of vehicles along a stretch of highway is 56 mph with a standard deviation of 4 mph. You

Elenna [48]

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

<h3>Z score</h3>

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma }$

Where x is raw score, μ is mean, σ is standard deviation

Given that:

σ = 4, μ = 56, hence

for x = 62:

$z=\frac{62-56}{4 } =1.5$

for x = 47:

$z=\frac{47-56}{4 } =-2.25$

for x = 56:

$z=\frac{56-56}{4 } =0$

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

Find out more on Z score at: brainly.com/question/25638875

4 0

3 years ago

A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the followi

Alekssandra [29.7K]

Answer:

101.07ft^2

Step-by-step explanation:

Given data

radius= 5ft

h= 9ft

When the radius and height are both multiplied by 1/2

radius= 5/2ft = 2.5ft

height= 9/2 ft= 4.5ft

The expression for the surface area of the cone is

A=πr(r+√h^2+r^2)

Substiute

A= 3.142*2.5(2.5√4.5^2+2.5^2)

A= 7.855(2.5√20.25+6.25)

A= 7.855(2.5√26.5)

A= 7.855(2.5*5.147)

A=101.07 ft^2

Hence the surface area is 101.07ft^2

3 0

3 years ago

Read 2 more answers

IS THIS GROWTH OR DECAY

Maksim231197 [3]

Answer:

It is a growth.

Step-by-step explanation:

If the number in parenthesis (exponential base) is greater than 1, then it is a growth. If it is between 1 and 0, then it is a decay.

4 0

3 years ago

Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it t

ella [17]

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

8 0

3 years ago

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –23x + 1

Finger [1]

Answer:

Equation of other line passing through point (6 , - 11) and parallel to given line is y = - 23 x + 127 .

Step-by-step explanation:

Given as :

The equation of one line

y = - 23 x + 12

∵ The equation of line in slope-intercept form is

y = m x + c

where m is the slope of line and c is y-intercept

Now, Compare given line with standard line equation

So, The slope of given line = m = - 23

Now, Again

Other line is passing through point (6 , - 11) and is parallel to given line

so, both the lines are parallel

For parallel line condition , Slope of both lines are equal

Let The slope of other line = M

So, M = m = - 23

Now, Equation of other line passing through point (6 , - 11) and slope - 23 in slope-point form

y - $y_1$ = M × (x - $x_1$ )

i.e y - ( - 11) = (- 23) × (x - 6)

Or, y + 11 = - 23 × x + 138

Or, y = - 23 x + 138- 11

i.e y = - 23 x + 127

So, The equation of other line y = - 23 x + 127

Hence, Equation of other line passing through point (6 , - 11) and parallel to given line is y = - 23 x + 127 . Answer

8 0

3 years ago