I need help please ASAPPP!

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of U.S. adults who think that political correctness is a problem in America today. This is a binomial distribution since the outcomes are two ways. The probability of success, p = 78/100 = 0.78

The probability of failure, q would be 1 - p = 1 - 0.78 = 0.22

n = 6

a) Mean = np = 6 × 0.78 = 4.68

b) Variance = npq = 6 × 0.78 × 0.22 = 1.0

c) Standard deviation = √npq = √(6 × 0.78 × 0.22) = 1.0

d) The standard deviation is used to express the spread of the data from the mean. Therefore, most samples of 6 adults would differ from the mean by no more than 1.0

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.

In this question, we have that:

[tex]\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761[/tex]

What is the probability that the mean of this sample is less than 15.99 ounces of water?

This is the pvalue of Z when X = 15.99. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{15.99 - 16.15}{0.0761}[/tex]

[tex]Z = -2.1[/tex]

[tex]Z = -2.1[/tex] has a pvalue of 0.0179

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Answer:

different slope same intercept

Step-by-step explanation:

g(x)= 3x+3

this means they both intercept the y axis at 3 but the incline of g is much greater then f since the slope is much larger.Hope this is what you were looking for

Answer:

the answer is the last option, c :8.

Answer:

8 and 9

Step-by-step explanation:

√64 = 8

√81 = 9

√74 falls inbetween those 2

Answer:

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question:

[tex]m = 0.5, \mu = \frac{1}{0.5} = 2[/tex]

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

[tex]P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)[/tex]

In which

[tex]P(X \leq 1) = 1 - e^{-2} = 0.8647[/tex]

[tex]P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507[/tex]

So

[tex]P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314[/tex]

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Answer:

option a (-1,-1/2)

Step-by-step explanation:

apply mid point formula

Answer:

2

Step-by-step explanation:

Arranging them in ascending order we have the scores as;

[tex]2, 3, 3, 4, 4, 6, 8, 9, 9, 9[/tex]

The median is the average of the 5th and 6th scores.

[tex] \frac{4 + 6}{2} \\ \frac{10}{2} \\ 5[/tex]

The new set of scores become

[tex]2,3,3,4,6,8,9,9,9,9[/tex]

The median is;

[tex] \frac{6 + 8}{2} \\ \frac{14}{2} \\ 7[/tex]

The difference is

[tex]7 - 5 = 2[/tex]

Hope it helps! Vote for brainliest!

Answer:

C. Yes, because A does not have a pivot position in every row.

Step-by-step explanation:

The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.

Answer:

255

Step-by-step explanation:

use calculator

Answer:

255

Step-by-step explanation:

∑ᵢ₌₁⁸ 2ⁱ⁻¹

Using brute force method:

S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷

S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128

S = 255

Using formula:

S = a₁ (1 − rⁿ) / (1 − r)

S = 1 (1 − 2⁸) / (1 − 2)

S = 255

Answer:

The probability that a group of 15 randomly selected skiers will overload the gondola = (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Step-by-step explanation:

Complete Question

A ski gondola carries skiers to the top of the mountain. If the Total weight of an adult skier and the equipment is normally distributed with mean 200 lb and standard deviation 40 lb.

Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload by reducing the passenger capacity to a maximum of 15 skiers. Assuming the maximum load limit remains at 5,000 lb, what is the probability that a group of 15 randomly selected skiers will overload the gondola.

Solution

For 15 people to exceed 5000 lb, each person is expected to exceed (5000/15) per skier.

Each skier is expected to exceed 333.333 lb weight.

Probability of one skier exceeding this limit = P(x > 333.333)

This becomes a normal distribution problem with mean = 200 lb, standard deviation = 40 lb

We first standardize 333.333 lbs

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (333.333 - 200)/40 = 3.33

To determine the required probability

P(x > 333.333) = P(z > 3.33)

We'll use data from the normal distribution table for these probabilities

P(x > 333.333) = P(z > 3.33) = 1 - P(z ≤ 3.33)

= 1 - 0.99957

= 0.00043

So, the probability that 15 people will now all be above this limit = (probability of one person exceeding the limit)¹⁵ = (0.00043)¹⁵

= (3.177 × 10⁻⁵¹)

(almost zero probability showing how almost impossible it is to overload the gondola, therefore showing how very safe the gondola is)

Hope this Helps!!!

Answer:

12.5% probability that when a couple has three​ children, there are exactly 0 girls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

b for boy, g for girl

g - g - g

g - g - b

g - b - g

g - b - b

b - g - g

b - g - b

b - b - g

b - b - b

8 outcomes, one of which (b - b - b) with exactly 0 girls.

So

1/8 = 0.125

12.5% probability that when a couple has three​ children, there are exactly 0 girls.

The probability that when a couple has three​ children, there are exactly 0 girls is 12.5%

Here we assume b for boy, g for girl

Now the probability conditions are

g - g - g

g - g - b

g - b - g

g - b - b

b - g - g

b - g - b

b - b - g

b - b - b

There are 8 outcomes, one of which (b - b - b) with exactly 0 girls.

So

[tex]= 1\div 8[/tex]

= 0.125

Learn more about probability here: https://brainly.com/question/24613748

Answer: -5, 6, and 9

Step-by-step explanation:

Step-by-step explanation:

least to greatest

-5 6 9

Answer:

Step-by-step explanation: [tex]\frac{5}{3}[/tex]÷[tex]\frac{1}{3}[/tex] =

(Decimal: 0.555556)

Answer:

908360.67 lb-ft

Step-by-step explanation:

height of tank= 6 ft

diameter of the tank = 4 ft

density of water p = 62.4 lbs/ft

A is the cross sectional area of the tank

A = [tex]\pi r^{2}[/tex]

where r = diameter/2 =  4/2 = 2 ft

A = 3.142 x [tex]2^{2}[/tex] = 12.568 ft^2

work done = force x distance through which force is moved

work = F x d

Force  due to the water = pgAh

where g = acceleration due to gravity = 32.174 ft/s^2

Force  = 62.4 x 32.174 x 12.568 x 6 =  151393.44 lb

work done = force x distance moved

work = 151393.44 x 6 = 908360.67 lb-ft

Answer:

c. 3/4

Step-by-step explanation:

tan is opposite over adjacent and based off of the included information its 3/4

Answer:

The x intercepts are (7,0) and (-4,0)

Step-by-step explanation:

y = x^2 – 3x - 28

Set y=0

0 = x^2 – 3x - 28

Factor.  What 2 numbers multiply to -28 and add to -3

-7*4 = -28

-7+4 = -3

0 = (x-7)(x+4)

Using the zero product property

0 = (x-7)      0 = x+4

x=7              x = -4

The x intercepts are (7,0) and (-4,0)

Answer:

A.   minus 10,

Step-by-step explanation:

The distance travelled must be positive.

Therefore minus 10 would not be a reasonable answer.

Answer:

First option is the right choice.

Step-by-step explanation:

x/95 = 15/19

x = 75

Best Regards!

Answer:

Option A

Step-by-step explanation:

Triangle ABC and DEF are similar.

Taking proportion of their sides to find the value of the unknown.

=> x/15 = 95/19

Cross Multiplying

=> 19x = 1425

Dividing both sides by 9

=> x = 75

Answer:

2 >x

Step-by-step explanation:

8-3x>2(3x-5)

distribute

8-3x>6x-10

Add 3x to each side

8+3x-3x>6x+3x -10

8 > 9x-10

Add 10 to each side

8+10 > 9x -10+10

18 > 9x

Divide by 9

18/9 > 9x/9

2 >x

Answer:

[tex]x < 2[/tex]

hope this helps you

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

[tex]8 - 3x > 2(3x - 5) \\ 8 - 3x > 6x - 10 \\ 8 + 10 > 3x +6 x \\ 18 > 9x \\ \frac{18}{9} > \frac{9x}{9} \\ 2 > x[/tex]

Answer: H - 46

Step-by-step explanation:

Primeter = 2(l + w)

50 = 2{(3m+2) + (m-5)}

25 = 3m+2 +m -5

25 = 4m -3

m = 28/4 = 7

l = 3m+2 = 23 cm

w = m-5 = 2 cm

Area = l x b

= 23 x 2 = 46 sq. cm.

Answer:

f(x) = -3x + 4

Step-by-step explanation:

Step 1: Write it in slope-intercept form

9x + 3y = 12

3y = -9x + 12

y = -3x + 4

Step 2: Replace y with f(x)

f(x) = -3x + 4

In math, function f(x) is equal to the variable y.

Answer:

The mode would not change

Step-by-step explanation:

Mode is the frequency of 1 number. In this case, the mode is 3. If we add 8, the frequency of 3 would not change; there would still be 4 3's, and 3 would still have the most of itself.

Answer:

9:20

Step-by-step explanation:

The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures.

If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)².

Therefore, (A/B )² = 9/16

square root both sides A/B = √9/√16 A/B = 3/4 A:B = 3:4

The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures.

Therefore, (B/C)³ = 27/125 cube root both sides B/C = 3/5 B:C = 3:5

To make the ratio equivalent A:B:C = 9:12:20

A:C = 9:20

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

[tex]\lambda=1/3\,min^{-1}[/tex]

We have a service rate of:

[tex]\mu=1/2\,min^{-1}[/tex]

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

[tex]P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67[/tex]

Then, the probability that a student arriving at the ATM will have to wait is 67%.

=======================================================

Work Shown:

Substitute y = 1 into the first equation. Basically we replace every y with 1. From here we solve for x

3x+y = 7

3x+1 = 7

3x+1-1 = 7-1 .... subtracting 1 from both sides

3x = 6

3x/3 = 6/3 .... dividing both sides by 3

x = 2

We have x = 2 pair up with y = 1. The two equations intersect at (2,1)

As a check, plugging (x,y) = (2,1) into the first equation should lead to a true statement

3x+y = 7

3(2)+1 = 7

6+1 = 7

7 = 7 and it does lead to a true statement

The graph is shown below.

26.

Step-by-step explanation:

To figure out the missing side of a right triangle, we will use the Pythagorean theorem. This is...

[tex]a^2+b^2=c^2[/tex]

With this Pythagorean theorem, a and b will always be the legs and the c will always be the hypotenuse, no matter what. Now knowing this, we can plug the legs into the equation.

[tex]10^2+24^2=c^2[/tex]

[tex]100+576=c^2[/tex]

Add the legs together.

[tex]676=c^2[/tex]

Now, since c is squared we will have to find the square root of 676.

[tex]\sqrt{676}[/tex]

= 26

Answer:

Mean = 3x

Step-by-step explanation:

Mean = [tex]\frac{SumOfObservations}{TotalNumberOfObservations}[/tex]

Mean = [tex]\frac{x+2x+3x+4x+5x}{5}[/tex]

Mean = [tex]\frac{15x}{5}[/tex]

Mean = [tex]\frac{15x}{5}[/tex]

Mean = 3x

Answer: time = 20 seconds

Step-by-step explanation:

h(t) = -16t² + 316t + 80

The shape of this graph is an upside parabola ∩.  

It lands on the ground when height (h) = 0

Set the equation equal to zero, factor, and solve for t.

0 =  -16t² + 316t + 80

0 =  4t² - 79t - 20              divided both sides by -4

0 = (4t + 1)(t - 20)               factored the equation

t = -1/4      t = 20              Applied Zero Product Property and solved for t

Since we know time cannot be negative, disregard t = -1/4

The only valid solution is: t = 20