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3 years ago

Can someone please help?

Mathematics

1 answer:

Nostrana [21]3 years ago

3 0

Answer:

$\frac{108}{125}$

Step-by-step explanation:

$\frac{3}{5}$ * $\frac{25}{24}$ = $\frac{72}{125}$

$\frac{72}{125}$ ÷ $\frac{2}{3}$ = $\frac{108}{125}$

Hope this helps you!

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Mr. Gage wants to buy a new car A but is considering used Car B. Car A costs $2,500 less than twice as much as car B. If car A c

Sergeeva-Olga [200]

1250 is the answer simple math.

4 0

3 years ago

Read 2 more answers

For 11 and 12, find... a.) The slope of the line parallel to the line that passes through the given points, and b.) The slope of

Minchanka [31]

(11)

we are given two points

(x1,y1)=(0,3)

(x2,y2)=(8,7)

so, we get

$x_1=0,y_1=3$

$x_2=8,y_2=7$

(a)

we know that slope of parallel lines are always equal

so, we can use formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{7-3}{8-0}$

$m=\frac{4}{8}$

$m=\frac{1}{2}$ ............Answer

(b)

we know that slope of perpendicular line is -1/m

so,

$slope=\frac{-1}{m}$

now, we can plug value

$slope=\frac{-1}{\frac{1}{2}}$

$slope=-2$ ...............Answer

(12)

we are given two points

(x1,y1)=(5,-1)

(x2,y2)=(3,1)

so, we get

$x_1=5,y_1=-1$

$x_2=3,y_2=1$

(a)

we know that slope of parallel lines are always equal

so, we can use formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{1+1}{3-5}$

$m=\frac{2}{-2}$

$m=-1$ ............Answer

(b)

we know that slope of perpendicular line is -1/m

so,

$slope=\frac{-1}{m}$

now, we can plug value

$slope=\frac{-1}{-1}$

$slope=1$ ...............Answer

7 0

3 years ago

A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium sh

denpristay [2]

Answer:

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.

This means that $\mu = 118, \sigma = 8$

Sample of 16 shells

This means that $n = 16, s = \frac{8}{\sqrt{16}} = 2$

What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"

This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.

X = 120

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

By the Central Limit Theorem

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

$Z = \frac{120 - 118}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.841

X = 116

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

$Z = \frac{116 - 118}{2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.159

0.841 - 0.159 = 0.682

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

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3 years ago

Which point could be used to find f(-3)

Naddik [55]

Point C.

f(-3) is basically substituting x = -3 and get the y-value.

So when we substitute x = -3. Focus on x-axis at x = -3 then look up for the y-value. If the y-value is on x = -3 then that's f(-3)

3 0

3 years ago

The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in

kifflom [539]

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

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3 years ago