Mathematics College

HURRY AND AWNSER SISSYS

Answers

Answer 1

Answer:

Neither

Step-by-step explanation:

Answer 2

I also think it is neither

Related Questions

Multiply. Express your answer in simplest form. 9 1/6 × 1 1/11. A. 10 B. 9 1/66 C. 10 1/17 D. 10 5/6

Answers

Answer:

9 1/66

Step-by-step explanation:

9 x 1 is 9 so its that but to add more proof the problem is 9 1/6, 1 1/11 multiply 6 and 11 it is 66 so the answer is 9 1/66

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe

Answers

Answer:

The value is [tex]P(A) = 0.133617[/tex]

Step-by-step explanation:

From the question we are told that

The mean is [tex]\mu = 7.5[/tex]

The standard deviation is [tex]\sigma = 0.2[/tex]

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

[tex]P(A) = 1 - P(7.2 \le X \le 7.8 )[/tex]

Here

[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma } )[/tex]

Generally [tex]\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )[/tex]

[tex]P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 } )[/tex]

[tex]P(7.2 < X < 7.8 ) = P(-1.5 < Z <1.5)[/tex]

=> [tex]P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5) [/tex]

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

[tex]P(Z < 1.5) = 0.93319[/tex]

and

[tex]P(Z < -1.5) = 0.066807[/tex]

[tex]P(7.2 < X < 7.8 ) =0.93319 - 0.066807 [/tex]

[tex]P(7.2 < X < 7.8 ) =0.0866383[/tex]

[tex]P(A) = 1 - 0.0866383[/tex]

=> [tex]P(A) = 0.133617[/tex]

The probability that the selected pool has a pH level that is not considered safe pool is 0.1336

The given parameters are:

[tex]\mathbf{\mu = 7.5}[/tex]

[tex]\mathbf{\sigma = 0.2}[/tex]

Start by calculating the probability that a pool is safe.

This is represented as: P(7.2 < x < 7.8)

Calculate the z-scores for x =7.2 and 7.8 using:

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]

[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]

So, we have:

[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]

This gives

[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]

Using z table of probabilities, we have:

[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]

[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]

The probability that the pool is not safe is calculated using the following complement formula

[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]

So, we have:

[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]

[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]

Hence, the probability that the pool is not safe is 0.1336

Answers

Answer:

13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25

Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 57 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 65 is within one standard deviation of the mean.

Answers

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to of the values.

Therefore, Scores between 72 and 90 =

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

It is found that score of 62 is not within one standard deviation of the mean.

What is z - score?

The Z-score measures how many standard deviations the measure is from the mean. If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have [tex]X \sim N(\mu, \sigma)[/tex]then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

In a set with mean and standard deviation, the z- score of a measure X is given by:

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

Z-score, we look at the z-score table and find the p-value associated with this z-score.

Given that Mean score of 54 and a standard deviation of 6.

This means to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62.

[tex]Z = \dfrac{X - \mu}{\sigma},\\Z = \dfrac{62 - 54}{6},[/tex]

Z = 1.33

Therefore, It is found that score of 62 is not within one standard deviation of the mean.

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ2

A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
-5.9 feet
Negative 5 and three-fourthsfeet
-58 feet
Negative 5 and StartFraction 7 over 8 EndFractionfeet

Answers

Answer:

Answer:

The jar contains 156 grams of zinc

Step-by-step explanation:

Ratios

Let's call

Z=gr of zinc

C=gr of copper

We know the ratio between them in a certain chemical is:

[tex]\displaystyle \frac{Z}{C}=\frac{4}{17}[/tex]

The jar of the chemical contains C=663 gr of copper. Calculate the grams of zinc by solving the above relation for Z:

Multiplying by C:

[tex]\displaystyle Z=\frac{4}{17}\cdot C[/tex]

Substituting the value of C:

[tex]\displaystyle Z=\frac{4}{17}\cdot 663[/tex]

Z=156 gr

The jar contains 156 grams of zinc

Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

y+5 = -0.7 (x-1)

Step-by-step explanation:

m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7

The graph below shows the elevation of three submarines during their first four minutes depending into the water which statement is true?

Answers

Answer:

ANSWER IS A I THINK

Step-by-step explanation:

M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x

Answers

19.26. Do not forget to add your backpacks cost to the tax. You can take 18 dollars times 1.07 to get the tax and add the tax to the 18. Hope that helps!

the remote areas away from the coast is

Answers

Answer:

Pole of Inaccessibility

FIND THE UNIT RATE OF EACH SCENARIO.

TYPE YOUR ANSWER IN THE TEXT BOX BELOW.

0

2

Daxton is paid $48 in 6

hours. How much IS Daxton

Palld per hour?

Allison types 900 words in 20

Minutes. How many words

can she type per minutter

3

4

A Printing company can

print 15,000 flyers in 10

minutes. How many flyers

can be printed per minutes

Jeff traveled 300 miles and

Used 12 gallons Of gas. HOW

many mlies did he travel per

gaion Of gas?

Answers

1. Daxton is paid 8 dollars per hour.

2. Allison can type 45 words per minute.

3. 1,500 flyers can be printed per minute.

4. He traveled 45 miles per gallon of gas.

Explanation: You divide the two numbers that are being used in the word problem.

Each class was given 225 glue sticks there are 22 classes so how many do each class get

Answers

Answer: 10.2272727273

Step-by-step explanation:

Answer:

Each class = 225 glue sticks

22 classes = 225*25

= 5625 glue sticks

A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost
$19.60. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?
Another 3 panes of glass cost $

Answer:

50 minutes

Step-by-step explanation:

First set up an inequality to find you answer like

800 - 6x = 1000 - 10x

then subtract 800 from both sides leaving you with

-6x = 200 - 10 x

Then add 10 x to both sides giving you

4x = 200

The simplify from here by dividing 200 by 4

200/4 = 50 giving you your answer

There is a paper attached only 5 questions :)

Answers

Answer:

Question 1: 20,160 cookies

Question 2: 37,600 letters

Question 3: 252,396 squares on each tablecloth

Question 4: 138,762 points

Question 5: 4,652,352 shrimp

Step-by-step explanation:

Question 1: Multiply 315 and 64 to get amount of cookies

Question 2: Multiply 940 and 40 to get the number of letters

Question 3: Multiply 36 and 7,011

Question 4: Multiply 26 and 5,337 to get the number of points

Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.

There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively.

Required:
a. How many ways are there to fill up the dormitories?
b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men's dorm, B is an all-women's dorm andC is co-ed. How many ways are there to fill thedormitories?

Answers

Answer:

[tex]N = 7.0 *10^{44} \ Ways [/tex]

[tex]U = 2.85 *10^{26}\ ways [/tex]

Step-by-step explanation:

From the question we are told that

The number of students are n = 100

The number of dormitories is k = 3

The capacity of the first dormitory is A = 25

The capacity of the second dormitory is B = 35

The capacity of the third dormitory is c = 40

Generally the number of way to fill the dormitory up is mathematically represented as

[tex]N = \frac{n!}{A! B!C!}[/tex]

=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]

Here ! stands for factorial, so we will be making use of the factorial functionality in our calculators to evaluated the above equation

=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]

[tex]N = \frac{9.332622* 10^{157}}{[1.551121* 10^{25}]* [1.0333148* 10^{40}] * [8.1591528*10^{47}]}[/tex]

[tex]N = 7.0 *10^{44} \ Ways [/tex]

From the question we are told that there are 50 men and 50 women and

A is all-men's dorm and B is all-women's dorm while C is co-ed

When A is filled , the number of men that will be remaining to fill dorm C is 50-25 = 25

While when B is filled the number of women that will be remaining to fill dorm C is 50-35 = 15

Generally the number of ways there to fill the dormitories is equivalent to the number of ways of selecting the 25 men and 35 women to fill dormitory A and B plus one more way which is filling dorm C with the remaining students this is mathematically represented as

[tex]U = ^{50}C_{35} * ^{50}C_{25} + 1[/tex]

Here C stands for combination hence we will be making use of the combination functionality in our calculators

[tex]U = 2.250829575* ^{12} * 1.264106064 * 10^{14} + 1[/tex]

=> [tex]U = 2.85 *10^{26}\ ways [/tex]

Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?

Answers

Together they picked 10 pints of blackberries.

10 pints in all , 4+6=10

A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)

Answers

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

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