a car is moving 70 miles per hour. how far does it travel in 16secs

HELP ME PLS ITS URGENT!!!!!!!!!!!!

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The complement of a set A contains everything that is not in the set A.

Step-by-step explanation:

Answer:

a. Their average weight is of 200 pounds.

b. 0.0875 = 8.75% probability that the maximum safe weight will be exceeded

c. 0.0002 = 0.02% probability that the maximum safe weight will be exceeded

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

a. If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?

12000/60 = 200 pounds

Their average weight is of 200 pounds.

b. If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded?

Men means that [tex]\mu = 189, \sigma = 63[/tex].

Sample of 60 means that [tex]n = 60, s = \frac{63}{\sqrt{60}} = 8.13[/tex]

Safe weight will be exceeded if the sample mean is above 200 pounds, which has probability of 1 subtracted by the pvalue of Z when X = 200. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{200 - 189}{8.13}[/tex]

[tex]Z = 1.35[/tex]

[tex]Z = 1.35[/tex] has a pvalue of 0.9115

1 - 0.9115 = 0.0875

0.0875 = 8.75% probability that the maximum safe weight will be exceeded.

c. If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded?

Women means that [tex]\mu = 165, \sigma = 76[/tex]

Sample of 60 means that [tex]n = 60, s = \frac{76}{\sqrt{60}} = 9.81[/tex]

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{200 - 165}{9.81}[/tex]

[tex]Z = 3.57[/tex]

[tex]Z = 3.57[/tex] has a pvalue of 0.9998

1 - 0.9998 = 0.0002

0.0002 = 0.02% probability that the maximum safe weight will be exceeded

Answer:

Step-by-step explanation:

Answer:

1 is the out liar

Step-by-step explanation:

This is because there is a huge gap between 1 and 64. The rest of the numbers are in a cluster.

Answer:

[tex]\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}[/tex]

C. n/90 rad/sec.

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

Answer:

-2, 3

Step-by-step explanation:

We are given the following inequality:

[tex]x + 2 > 7[/tex]

Solving it, we have that its solution is:

[tex]x > 7 - 2[/tex]

[tex]x > 5[/tex]

So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.

Answer: In this problem, you have three unknowns: broadway tickets for the (1) main floor, (2) balcony and (3) mezzanine. To solve algebraic equations, the total number of unknowns must be the same with the number of independent equations. With that, let's formulate these three equations.

Let the 3 unknowns be

x = number of tickets for the main floor

y = number of tickets for the balcony

z = number of tickets for the mezzanine

The independent equations are:

59x+50y+40z=73,785 --> eq 1

x = y+z+435 --> eq 2

y = 78 + 33 z ---> eq 3

Solve the equations simultaneously. Substitute eq3 to eq 2

x = 78+33z+z+435

x = 513+34z --> eq 4

Substitute eq 4 and eq 3 to eq 1

59(513+34z)+50( 78 + 33 z)+40z=73,785

Solve for z using the calculator: z = 11

Use eq 4 to find x: x = 877

Use eq 2 to find y: y = 432

There were 877 main floor tickets, 432 balcony tickets and 11 mezzanine tickets sold.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equations:

Substitute (3) into (2):

Substitute (2) and (4) into (1) and solve for z:

Find x and y:

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Volume = length x width x height

Volume = 1.4 x 1.3 x 3.5 = 6.37 cubic cm

Answer:

726

Step-by-step explanation:

Answer: 30°

Step-by-step explanation:

we have to find the angle adjacent with the right angle. For this we use the (-).

At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.

Answer:

(9-8) + 8 = 9

Step-by-step explanation:

Answer: Third option

Step-by-step explanation: doing a point giveaway stay tuned!

Answer:

[tex]third \: answer \\ if \: f(x) < 0 \\ - 6 < x < 2[/tex]

Answer:

3 option

Step-by-step explanation:

Answer:

2s

Step-by-step explanation:

Twice means multiplicaiton of 2

So the answer is 2s

Answer:

dfsdfsdfsdfsdfsdf

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

Answer:

$3.15

Step-by-step explanation:

$4.16+$1.50+$1.19=$6.85

$10.00-$6.85=$3.15

(Sorry if it's wrong.)

its 50.3.2  tags: c c c cc  cc c  c c c ar c free car no yes show two plus pwe

Answer:

the answer is D because it depends of the velocity

Answer:

[tex](x,y) = (-1,1)[/tex]

Step-by-step explanation:

Given

[tex]y>-2x - 1[/tex]

[tex]y>x + 2[/tex]

Required

Solve graphically

See attachment for graph;

The black shade represents [tex]y>-2x - 1[/tex]

While the green, represents [tex]y>x + 2[/tex]

Next, determine the intersection points between the two lines

From the attached graph, we have:

[tex](x,y) = (-1,1)[/tex]

Hence, the solution is:[tex](-1,1)[/tex]

Use △GHJ, where A, B, and C are midpoints of the sides

HB=14

Given :

Use △GHJ, where A, B, and C are midpoints of the sides

AC = 3y−5 and HJ = 4y+2

Apply mid point theorem

mid segment = half of base

[tex]AC=\frac{1}{2}(HJ)[/tex]

Now we replace AC and HJ

[tex]AC=\frac{1}{2}(HJ)\\3y-5=\frac{1}{2} (4y+2)\\3y-5=2y+1\\Subtract \; 2y\\1y-5=1\\Add \; 5\\1y=1+5\\y=6[/tex]

B is the midpoint . HB is half of HJ

[tex]HB=\frac{1}{2} HJ\\HB=\frac{1}{2}(4y+2)\\x=6\\HB=\frac{1}{2}(4(6)+2)\\\\HB=\frac{1}{2}(28)\\\\HB=14[/tex]

So the value of HB = 14

Learn more : brainly.com/question/23120373

Answer: 4792.38

Step-by-step explanation: just did it

Answer:

x = 16

Step-by-step explanation:

First, find hypotenuse using 18 and 16.

Using Pythagorean theorem, it gives 24.08

now use it again with the hypotenuse and (36/2) = 18

This gives us x = 16

Answer:

34

Step-by-step explanation:

Hope helps :)

Answer:

Hi! Your answer is 34! :D

Step-by-step explanation:

The lovely human who answered above me is indeed correct.

I hope you have an amazing day! Please give brainliest!