The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U.S. Midwest. Summary statistics are provided.

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

Required:
Draw the boxplot for this data we found no extreme outliers.

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

Answer:    -9c

Step-by-step explanation:

4(-2c) - c

= -8c - c

= -9c  

-9c is the answer

Answer:

6m-2m+12 and 4(m+3)

Step-by-step explanation:

4(m+12)=4m+48❎

3m-m+12=2m+12❎

6m-2m+12=4m+12✅

4(m+3)=4m+12✅

Answer:

B

Step-by-step explanation:

I think it's hitting a golf ball in the air, as it is a transformation, but the general shape of it is not affected.

Opening a locker, you are still affecting the general shape.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:  -30/13

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

5 /11 is the Mixed Number.

Have a good day! :D

Step-by-step explanation:

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

9514 1404 393

Answer:

Step-by-step explanation:

Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:

top and bottom

  8x +7 = 9x -4

  11 = x . . . . . . . . . . add 4-8x to both sides

left and right

  7y -34 = 5y

  2y = 34 . . . . . . . . add 34-5y to both sides

  y = 17 . . . . . . . divide by 2

_____

Additional comment

As a check on the integrity of the problem, we can see if these angles form linear pairs.

  8x+7 = 8·11+7 = 95

  5y = 5·17 = 85

  95 +85 = 180 . . . . . . angle values have the expected relationship

Answer:

11.26

Step-by-step explanation: The easy way to . complete this is to get the 22.52 split it in half to get your answer. Because they asked for the price of 2 and 2 is half of 4.

since 4 bags of bananas costs $22.52, you would just divide by 2 to find out how much 2 bags of bananas costs.

22.52/2=$11.26

It costs $11.26 for 2 bags of bananas.

Answer:

Hi Marie, use the reminder

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Tan(x) = Opp / Adj

Tan(x) =32 / 24

X = arcTan(32/24)

X = 53.13°

Answer:

addition=24

subtraction=6

multiplication=720

division=1.8

Answer:

With no digits repeated that would be 60,480

Step-by-step explanation:

9×8×7×6×5×4 = 60,480

Step-by-step explanation:

If the triangle is right, we can use Pitagora

We can have 2 results

1.

[tex] \sqrt{ {6}^{2} + {8}^{2} } = \\ = \sqrt{36 + 64} = \\ = \sqrt{100} \\ = 10[/tex]

2.

[tex] \sqrt{ {8}^{2} - {6}^{2} } = \\ = \sqrt{64 - 36} = \\ = \sqrt{28 } \\ = 2 \sqrt{7} [/tex]

Answer:

Step-by-step explanation:

Answer:

tell me if this right or not

Step-by-step explanation:

The largest number, which is the factor of two or more number is called the Greatest Common Factor

ex. Factors of 18 = 2×9 =2×3×3

ex.Prime factors of 24 –2×2×2×3

ex.or other factors of 14 The factors of 14 are: 1, 2, 7, 14

Answer:

x=0, y=3/2. (0, 3/2).

Step-by-step explanation:

7x-8y=-12

-4x+2y=3

----------------

7x-8y=-12

4(-4x+2y)=4(3)

-----------------------

7x-8y=-12

-16x+8y=12

----------------

-9x=0

x=0/-9

x=0

7(0)-8y=-12

0-8y=-12

8y=0-(-12)

8y=0+12

8y=12

y=12/8

simplify

y=3/2

Answer: 30

Step-by-step explanation:

Answer:

the correct answer is $1.50 for me

Step-by-step explanation:

st took the quiz and got this question correct, hope this helps!

Answer:

c.42

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

10+4= 14 so that is one side

14x3=42

So the answer is 42 so C

Answer:

The answer would be 8.1

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: [tex]a^{2} +b^{2} = c^{2}[/tex]. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

Answer:

Its D

Step-by-step explanation:

I just submited that same exact test from connexus

Answer: D 500 cubic centimeters

Step-by-step explanation:

The formula of a volume is Volume = Length x Width x Height. In this case, it already gave us all of the sides that we need! So all we need to do is multiply 5 x 5 x 20 which gives us 500 cubic centimeters!

Hope this helped! ^^

It should be in Quadrant II! <3

Answer:

Quadrant II

Step-by-step explanation:

Answer:

a,b,c,d and e

Step-by-step explanation:

a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry

thus meaning that the answers are a , b , c, d and e

Answer:

5 ounces

Step-by-step explanation:

Answer:

5 ounces .

Step-by-step explanation:

its $1.07 my bad XD :P

Step-by-step explanation:

Answer:

sorry 2458946547165874%

Step-by-step explanation:

Answer:

The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average

Step-by-step explanation:

Previous analyses have determined that national average adult IQ score is 100.

This means that the null hypothesis is: [tex]H_0: \mu = 100[/tex]

Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average.

This means that the alternate hypothesis that will be tested is:

[tex]H_a: \mu \neq 100[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

100 is tested at the null hypothesis:

This means that [tex]\mu = 100[/tex]

Standard deviation of 15.

This means that [tex]\sigma = 15[/tex]

A random sample of 35 adults from Lower Arlington, yields an average score of 106.

This means that [tex]n = 35, X = 106[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{106 - 100}{\frac{15}{\sqrt{35}}}[/tex]

[tex]z = 2.37[/tex]

Pvalue of the test:

Since z is positive, and we are testing if the mean is different from a value, the pvalue of the test is 2 multiplied by 1 subtracted by the pvalue of z = 2.37.

Looking at the z-table, z = 2.37 has a pvalue of 0.9911

1 - 0.9911 = 0.0089

2*0.0089 = 0.0178

Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average

The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

Answer:

[tex]P(X \le 4) = 0.7373[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

[tex]P(x > 20) = 0.4207[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

[tex]P(x = 24) = 0.0236[/tex]

[tex]P(x = 15) = 1.18\%[/tex]

Step-by-step explanation:

Given

[tex]p = 80\% = 0.8[/tex]

The question illustrates binomial distribution and will be solved using:

[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]

Solving (a):

Given

[tex]n =5[/tex]

Required

[tex]P(X\ge 4)[/tex]

This is calculated using

[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]

This gives:

[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]

[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]

[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]

[tex]P(X \le 4) = 0.73728[/tex]

[tex]P(X \le 4) = 0.7373[/tex] --- approximated

Solving (b):

Given

[tex]n =25[/tex]

i)

Required

[tex]P(X\le 15)[/tex]

This is calculated as:

[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule

[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]

[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]  

[tex]P(x > 15) = 0.98266813045[/tex]

So:

[tex]P(X\le 15) = 1 - P(x>15)[/tex]

[tex]P(x \le 15) = 1 - 0.98266813045[/tex]

[tex]P(x \le 15) = 0.01733186955[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

ii)

[tex]P(x>20)[/tex]

This is calculated as:

[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]

[tex]P(x > 20) = 0.42067430925[/tex]

[tex]P(x > 20) = 0.4207[/tex]

iii)

[tex]P(20\ge x \le 24)[/tex]

This is calculated as:

[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]

[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]

[tex]P(20\ge x \le 24)= 0.61291151859[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

iv)

[tex]P(x = 24)[/tex]

This is calculated as:

[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]

[tex]P(x = 24) = 0.0236[/tex]

Solving (c):

[tex]P(x = 15)[/tex]

This is calculated as:

[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 0.01177694905[/tex]

[tex]P(x = 15) = 0.0118[/tex]

Express as percentage

[tex]P(x = 15) = 1.18\%[/tex]

The calculated probability (1.18%) is way less than the advocate's claim.

Hence, we do not believe the claim.