A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in the data set is greater than or equal to 162?
The probability is about __

Answers

Answer 1

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

[tex]Z = \frac{x-mean}{S.D} = \frac{162-115}{23}[/tex]

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

                                      =  1- ( 0.5 +A(2.043)

                                      =   1-0.5 -A(2.043)

                                      =    0.5 - 0.4793

                                      =  0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207


Related Questions

Stewart purchased 15/20 gallons of juice for his party. Guests drank 9/20 gallons, so how much juice is left?

Answers

Answer:

Step-by-step explanation:

6/20 Gallons

Answer:

[tex]\frac{3}{10}[/tex].

Step-by-step explanation:

To do this, we will need to subtract fractions.

[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)

Which expression is equivalent to 10√5

Answers

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

what is the center?
the circle passes through the point (-7,-7). what is the radius?​

Answers

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Whats the distance between the points (-9,2) and (-4,2)?
A. 5
B. 13
C. 7
D. 2

Answers

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Kim is packing eggs into boxes. Each box holds 6 eggs. She has 94 eggs. What is the smallest number of boxes she needs to pack all the eggs?

A. 15.65
B. 15.67
C. 15.7
D. 16

Answers

Answer:

D

Step-by-step explanation:

For this one (and others that are similar to this one) you can't have a portion of a box, therefore, you can eliminate all the other answers.

The smallest number of boxes she needs to pack all the eggs is 15.67,

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Eggs = 94

Each box Hold= 6 eggs

So, number of boxes required to hold 94 eggs

= 94 / 6

= 15.66

Hence, smallest number of boxes she needs is 15.67

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)

Answers

Answer:

124 sq cm

Step-by-step explanation:

Surface Area of the recatangles on both sides is 50 cm each so

50+50=100

and the area of the two triangles is 12 each so

12+12=24

and 100+24=124

Answer:

184cm^2

Step-by-step explanation:

SA=hp+2B

h=10

p=16

hp=160

B= 1/2bh

B=12

12x2=24

hp+2B= 24+160= 184

Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and
96 push-ups on Tuesday. What kind of sequence is this?

Answers

Answer:

2x

Step-by-step explanation:

Each number is mutiplied by 2

Answer: it doubles

Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96

Chad's bedroom floor is 19 feet long and 19 feet wide. He has an area rug on his floor that is 5 feet long and 8 feet wide.

Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.

A Add 19 + 19 + 5 + 8.
B Subtract 40 from 19 × 19.
C Subtract 19 × 8 from 19 × 5.
D Add 19 × 19 and 5 × 8.
E Subtract 5 × 8 from 19 × 19.
F Subtract 19 × 19 from 5 × 8.

Answers

Answer:

B and E

Step-by-step explanation:

Subtract the area of the rug from the bedroom floor.

Answer:

E

Step-by-step explanation:

Area of the floor that is not covered = Area of floor - area of rug

= 19 *19 - 5*8

= 361 - 40

= 321 Sq.ft

Evaluate tan²0 for 0 = 60°.
1/3
3/4
1
3

Answers

Answer:

3

Step-by-step explanation:

i Substituted the value ofthe variable into the equation and simplified it.

can i get your help please

Which answer choice shows the decimals in order from greatest to least?
A. 1.234, 1.237, 1.2, 1.48, 2.01

B. 1.2, 1.234, 1.237, 1.48, 2.01

C. 2.01, 1.48, 1.237, 1.234, 1.2

D. 1.2, 1.48, 2.01, 1.234, 1.237

Answers

Answer:

B. 1.2, 1.234, 1.237, 1.48, 2.01

Step-by-step explanation:


C. 2.01, 1.48, 1.237, 1.234, 1.2



The data below shows the scores of some students on a test: 21, 27, 29, 20, 22, 33, 23 Which box plot represents the data?

Answers

Answer:

23

Step-by-step explanation:

you take the greatest and least greatest number until only one is left.

21, 27, 29, 20, 22, 33, 23

21, 27, 29, 20, 22, 23

21, 27, 29, 22, 23

27, 29, 22, 23

27, 23

23

-10-9-8-7-6-5-4-3-2
-1 0
1
2
3
4 5 6 7 8 9 10
Determine the distance between -1 and -7.
-1
A)
-8 units
B)
-6 units
C)
6 units
D)
8 units

Answers

Answer:

B)6 units

Step-by-step explanation:

-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10

or

-7-(-1)=-6

Distance can't be a negative so the answer is 6.

You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need?

Answers

The answer to the question is 3

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

Hope it helps, Pls mark as Brainliest!!!

Find the volume of the cone whoever answers first gets brainiest!

Answers

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain​

Answers

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?

Answers

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

|n|=5 what is the value for n.

A -5or5
B 0 and 5
C -5 only
D 5 only

Answers

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?

Answers

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Simplify.

8(12 - p)

20 - (8+p)
96 - 8p
96 - p
96p

Answers

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

HELLPPPPPP
S S DS ADS


A

Answers

Answer:

90%

Step-by-step explanation:

9/10 = 90/100

the answer to the equation is 90

Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!

Answers

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

please help, I dont know how to do this​

Answers

Answer:

[tex]\frac{y-2}{4}[/tex]

Step-by-step explanation:

Let's start by factoring everything:

[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]

[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, you can cancel out some terms:

[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]

[tex]\frac{y-2}{4}[/tex]

Hope this helps!

Amanda and Mary each have a box of popcorn.
Whose box holds more popcorn?
How much more popcorn does the bigger box hold than the smaller box?

Answers

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles

none of the answers I saw had the same triangle ​

Answers

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Please help ASAP will mark brainliest

Answers

the points are (1,8) :)

Math question down below

Answers

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Find the length of DF

Answers

Answer:

7x-58

just add all the terms

3x-28+3x-30+x
7x-58 =33
7x=91
X=13
Soooo df= 6x-58
6*13-58=20
20 is the correct answer

PLEASE HELP - Which of these graphs represents a nonlinear function ?

Answers

Figure 3

Step-by-step explanation:

figure 3 because the line is not straight

The volume of the sphere is 904.32 m. To the nearest meter, what is the radius of the sphere????? Use 3.14 for pi.

Answers

Answer:

6

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:

[tex]904.32=\frac{4}{3}\pi r^3[/tex]

Dividing both sides by pi or 3.14:

[tex]288=\frac{4}{3}r^3[/tex]

Dividing both sides by 4/3:

[tex]216=r^3[/tex]

Taking the cube root of both sides:

[tex]r=6[/tex]

Hope this helps!

Look at the data points on the graph:
Is this relation a function?

Answers

I am pretty sure that it is a function. Every input has one output. Here is a memory device that my teacher gave us. Hopefully it helps!!
Other Questions
BRAINLIEST TO WHOEVER ANSWERS ASAP AND GETS IT CORRECTWhich of the following characteristics best describes why Darwin described On Origin of the Species as "one long argument?"Because he anticipated most readers would not agree with his claims.Because it presented one main hypothesis supported by multiple lines of evidence and reasons.Because it contradicted the prevailing views of natural history at the time.Because he ran out of time to properly edit the manuscript. Help me please. Im giving 20 pointsA telephone pole is 8 meters tall and a pigeon is standing on the ground 6 metersfrom the pole. If the pigeon flies from where it is standing to the top of thetelephone pole, how far will it fly? Find the area of the shape Complete the sentences with the conditional form of the verbs on the list. Word bank: bailar comprar hacer llevar visitar1. Si alguna vez voy a Espaa,( blank ) Madrid, Barcelona y Sevilla.2. Si Juan y Laura se ganan la lotera, (blank) una mansin frente al mar.3. T dijiste que si pasas el examen, (blank) una gran fiesta.4. Hernando cree que si Mara lo perdona, (blank) de alegra.5. Ramn les dijo a sus hijos que si se portan bien, los (blank) a la playa. How many moles of gas fill a 2.2 L vessel with a pressure of 1.2 atm at 25.0 C? P= V=n=R=T=Formula: Another leak opened a few minutes later, thison in the upstairs hallway. Zeitoun foundanother garbage can. A window in the masterbedroom broke just after three o'clock, as if abrick had been thrown through the glass.Zeitoun gathered the shards and stuffed theopening with a pillow.Identify the type of conflict Zeitoun experiences inthis passage A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m,to the nearest tenths place? Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 29 inches tall and has a square base with sides that each measure 5 inches. How much paper will she use? Donte simplified the expression below.4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i.What mistake did Donte make?He did not apply the distributive property correctly for 4(1 + 3i).He did not distribute the subtraction sign correctly for 8 5i.He added the real number and coefficient of i in 4(1 + 3i).He added the two complex numbers instead of subtracted. find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft A surgical technique is performed on eight patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work. SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200.a) If you scored 950, what would be your percentile?b) If you scored 1100, what percent of students scored better than you?c) If your percentile was 92%, what did you score on the SAT? What does area IVon the map indicate? Oregon Territory Mexican Cession Texas Annexation Louisiana PurchaseMissing Metadata Why was the expansion of colonization important for the Industrial Revolutionin England?A. Colonies produced finished goods for England to buyB. England relied heavily on technology from its colonies,C. England wanted to concentrate more on agriculture,D. Colonies provided cheap labor,SUBMIT !! NEED RN, MARKING BRAINLIST !!What is the value of x? The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of CFLs. The manufacturers specifications are that the population standard deviation is 1,000 hours. A random sample of 64 CFLs indicated a sample mean life of 7,500 hours.Construct a 95% confidence interval estimate for the popu- lation mean life of compact fluorescent light bulbs in this shipment. LaserLife Printer Company is a decentralized organization with several autonomous divisions. The division managers are evaluated, in part, on the basis of the change in their return on invested assets. Operating results for the Packer Division for 2019 are budgeted as follows:Sale $5,000,000Less variable costs 2,500,000Contribution margin 2,500,000 Less fixed expenses 1,800,000Net operating income $ 700,000Invested capital for the division are currently $3,600,000. For 2019, the division can add a new product line for an investment of $600,000. The new product line will generate sales of $1,600,000 and will incur fixed expenses of $600,000 annually. Variable costs of the new product will average 60% of the selling price.REQUIRED:1. What is current ROI? Profit margin (or Return on sales)? Investment (or Capital) turnover?2. What is the effect on ROI of accepting the new product line?If the company's required rate of return is 6% and residual income (RI) is used to evaluate managers, would this encourage the division to accept the new product line? Explain and show computations. Eduardo has purchased a home with an assessed value of $179,000. Theproperty tax rate in his area is 2.3%. What is his monthly tax payment?O A. $343.08O B. $341.98C. $345.76O D. $348.67 Plz I need help with this problem. I'm dumb 100+ POINTS I BEG HELP!!! Write the correct form of the appropriate verb in parenthesis for each of the following sentences. Yo______mi cumpleaos ayer. (Celebrar/montage)