Multiple(x-4)(2x+3) using the distributive property

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:

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. 3/4

Step-by-step explanation:

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

Answer:

323

Step-by-step explanation:

a-b= 7

ab= 137

a²+b²= ?

---------

Since (a-b)²= a²-2ab +b²

⇒ a²+b²= (a-b)² + 2ab= 7² + 2*137= 323

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 parameter is the population proportion of fans who  listened to her new single and has an estimated value of 90%.

Step-by-step explanation:

The parameter is a value that corresponds to a population, while an a value that corresponds to a sample is know as statistic.

She takes a sample to estimate, with a point estimate and probably with a confidence interval around this point estimate, the true proportion of fans who listened to her new single.

This is the paramater: the population proportion of fans who listened to her new single.

Its value comes from an estimation based on the sample proportion (point estimate).

The sample proportion is 90%, so we can estimate, as there is no bias, that the population proportion is also 90%.

Answer:

A.   minus 10,

Step-by-step explanation:

The distance travelled must be positive.

Therefore minus 10 would not be a reasonable answer.

Answer:

Step-by-step explanation:

-6a^5+6a^3+a^2-4a+1

Answer:

4a^3 and 2a^3

Step-by-step explanation:

you always start by combining like terms

Answer:

The median would change the most

Step-by-step explanation:

The mode will not change, because the only duplicate number is 20

The mean will change from 53.22 to 55.2 when you put 73 into the set

and the median will change from 67 to 70 when you put 73 into it

Answer:

Median

Step-by-step explanation:

Mean:

Mean of 9 numbers = 477/9 = 53

Mean of 10 numbers = 550/10 = 55

Mode:

Mode for the set of 9 numbers: 20

Mode for the setof 10 numbers when 73 is included = 20

Median:

Set of 9 numbers:

10, 20, 20 , 32, 67, 74, 76, 84, 94

Median = 67

Set of 10 numbers:

10, 20, 20 , 32, 67, 73, 74, 76, 84, 94

Median = 67+73/2 = 140/2 = 70

Answer:

Equation of a line y = mx + c

m = slope

Using point (1,-9) and slope -3

y + 9 = -3(x - 1)

y + 9 = -3x + 3

y = -3x + 3 - 9

y = -3x - 6

Hope this helps.

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:

160cm

74mm

3.6km is 3600m

Step-by-step explanation:

1. 6 x 100= 160cm

7.4cm x 10 =74mm

3.6 x 1000= 3600m

Answer:

a) 250 women

b) 370 in total

Step-by-step explanation:

Men : Women

12     : 25

120   : 250

a) If there are 120 men that means 12 was multiplied 10 times to get 120 so to get the amount for women we multiply 25 ten times which will give 250.

b) the sum will be 120 + 250 = 370

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]

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: 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:

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%.

Answer:

The E. Coli will grow at a rate of approximately 800% an hour.

Answer: d + 28

Step-by-step explanation:

Answer:

d+28

Step-by-step explanation:

it is easier to remeber that you should always flip the wording so for this on "d" would be first then add the 28

Answer:

15.757 im not sure but i came up with that one.

Step-by-step explanation:

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

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

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.

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:

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:

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:

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:

D

Step-by-step explanation: