The set of life spans of an appliance is normally distributed with a mean 48 and a standard deviation 8 months. What is the z-score of an appliance that stopped working at 64 months?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

Answer 2

The value of z-score of an appliance that stopped working at 64 months is,

⇒ 2

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The set of life spans of an appliance is normally distributed with a mean 48 and a standard deviation 8 months.

We know that;

Z- score = (X - μ) / σ

Here, We have;

μ = 48

σ = 8 months

X = 64 months

Hence, We get;

z - score = (64 - 48) / 8

z - score = 16 / 2

z - score = 2

Thus, The value of z-score of an appliance that stopped working at 64 months is,

⇒ 2

Learn more about the divide visit:

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Related Questions

If a sample of 2.00 moles of NO gas was reacted with excess
oxygen, how many moles of nitrogen dioxide gas would be
produced?

Answers

Answer:

2 moles

Step-by-step explanation:

first you have to balance the equation:

2NO + O2⇒2NO2

then set up your mole to mole ratio

2 mol NO2/2 mol NO

multiply by the given 2.00 mol NO gas

and you should get 2 mol NO2

Final answer:

Starting with 2.00 moles of nitrogen monoxide (NO) and reacting it with excess oxygen (O2) will produce 2.00 moles of nitrogen dioxide (NO2) based on the 1:1 mole ratio from the balanced chemical equation.

Explanation:

The student is asking about the stoichiometry of a chemical reaction involving nitrogen monoxide (NO) and oxygen (O2) to produce nitrogen dioxide (NO2). In the balanced chemical equation, the reaction is typically represented as 2NO + O2
ightarrow 2NO2. Following the mole ratio from the balanced equation, 1 mole of NO reacts with 1/2 mole of O2 to produce 1 mole of NO2. Consequently, if you start with 2.00 moles of NO, you would also produce 2.00 moles of NO2 given that oxygen is in excess and will not limit the reaction.

This is because the balanced chemical equation shows the NO and NO2 in a 1:1 mole ratio. Therefore, the number of moles of reactants you start with will directly determine the number of moles of products formed, assuming you have an excess of the other reactants.

Area of the 8 ft by 5 ft rectangle

Answers

Answer:

40 sq ft.

Step-by-step explanation:

Area is l x w, where 8 is the length and 5 is the width. so you multiply 8 x 5, and you get 40 sq ft.

Answer:

40 sq ft

Step-by-step explanation:

Anna is asked to find a common multiple of 9 and 29. Which number could be the multiple?

Answers

Answer:

261

Step-by-step explanation:

LCM(9, 29)

= 3 × 3 × 29

= 261

Answer: The Greatest Common Multiple is 1 and the Least Common Multiple is 261

Step-by-step explanation:

Find the slope (-1,7),(-6,1)

Answers

Answer: m = 6/5

Step-by-step explanation:

The Formula to find m is m =  y2 - y1 / x2 - x1.

So for this problem I did 7 - 1 / -1 - (-6) which would equal 6/5.

Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?

Answers

9514 1404 393

Answer:

  $240,000

Step-by-step explanation:

Let f represent Mr. Sanford's fortune.

1/2x went to April, so 1/2x remains.

1/2(1/2x) = 1/4x went to Jed, so 1/2x -1/4x = 1/4x remains.

1/2(1/4x) = 1/8x went to charity, so 1/4x -1/8x = 1/8x remains.

That remaining 1/8x was $30,000, so the total amount of Mr. Sanford's fortune was ...

  8 × $30,000 = $240,000

NEED HELP ESTIMATING!!

Answers

kale= 1 oz

carrots=4 oz

potatoes= 4 oz

beets=2 oz

What is the probability of tossing 3 heads in a row when flipping a coin?

Answers

Answer:

0.125

Step-by-step explanation:

Assuming the coin is fair (most coins are not completely fair) and that the person flipping is not able to control the tosses (some people can) then the chance is 0.125. On each flip, the chance is 1/2. The combination is simply the product of three tosses, since the events are independent.

Hope this helped!♥

85 out of 350 books in the library are about Mysteries.
​What percent of the books are Mystery books?

Answers

Approximately 24.28% of the books

how many ways can a team of 6 volleyball players be chosen from a roster of 12 players

Answers

1 way

is this like a trick question lol

find the limit of the function by using direct substitution as X approaches one lim(x^2-8x -2)

Answers

Answer:

[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]

Step-by-step explanation:

For this case we want to find the following limit:

[tex] lim_{x \to 1} x^2 -8x -2 [/tex]

And we can find the limit distirbuting into each term like this:

[tex] \lim_{x \to 1} x^2 -8 lim_{x \to 1} x -lim_{x \to 1} 2 [/tex]

And replacing we got:

[tex] 1^2 - 8*1 -2 = 1-8-2 = -9[/tex]

So then the final answer for this case is:

[tex] lim_{x \to 1} x^2 -8x -2 =-9[/tex]

peter had 140 candies. he kept 28 candies for himself and gave the rest away. What percentage of his candies did he give away?

Answers

he gave away 112 candies. so the % of candies given away is 100 x 112/140 = 80%

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of 2/3?

Answers

Answer:

y = 2/3 x -2

Step-by-step explanation:

We have a point and a slope

y = mx+b

The slope, m, = 2/3

y = 2/3 x+ b

The point is (-6,-6)

Substitute this into the equation to solve for b

-6 = 2/3 (-6) +b

-6 = -4+b

Add 4 to each side

-6+4 = -4+4+b

-2 =b

Substitute into the equation

y = 2/3 x+ b

y = 2/3 x -2

The equation of the line that passes through the point (-6, -6) is “y = 2/3x - 2”.

Please help me now plz
I will mark you brainliest

Answers

Answer:

theta = 24.4 degrees

Step-by-step explanation:

This is a right triangle.

sin theta = opp/ hyp

sin theta = 33/80

Take the inverse of each side

sin^-1 sin(theta) = sin^-1 (33/80)

theta =24.36197794

To the nearest tenth

theta = 24.4 degrees

Lin is planning a birthday party at a restaurant. She has $566.25 to spend on the party. It costs $225 to rent a private room at the restaurant and $16.25 per person for the meal. How many people can Lin invite to the party?

Answers

Answer:

21

Step-by-step explanation:

first do 566.25 - 225. then divide that answer by 16.25

Which decimal is equivalent to the fraction 115?

Answers

Answer:

115 is not a fraction, but it's 1.15 if you meant 115%

Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?

Answers

Answer:

2 5/6

Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.

Step-by-step explanation:

Mrs Quinn had 4 loaves of bread

1 loaf was divided into two halves

1/2 was kept in the freezer

3 loaves was divided into 1/6 pieces

Step 1

How many 1/6 pieces can we find in 3 loaves?

1 loaf of bread = 6 pieces of 1/6 portions of bread

3 loaves of bread =

3× 6 pieces = 18 pieces of 1/6 portions of bread in total.

From the question, her guests ate 7 pieces

The number of pieces left = 18 - 7

= 11 pieces left.

Step 2

We are asked how many loaves of bread does Mrs Quinn have left?

This is calculated by adding up the 11 pieces of 1/6 portions of the bread with the first loaf of bread that she divided into 2

The total would be

= 1 loaf + 11 pieces of 1/6 sizes of bread

= 1 loaf + 11( 1/6)

= 1 + 11/ 6

= 1 + 1 5/6

= 2 5/6

Therefore Mrs Quinn has 2 full loaves of bread and 5 pieces of the 1/6 portions of the bread.

Final answer:

After dividing and serving bread at her dinner party, Miss Quinn has 11 pieces of bread plus the half loaf she initially put in her freezer left.

Explanation:

Miss Quinn made 4 loaves of bread for a dinner party. She cut one loaf in half and put a piece in her freezer. She then divided the remaining full loaves of bread into sixths. Her guests ate 7 pieces. How much bread does Miss Quinn have left?

First, let's figure out how many pieces of bread Miss Quinn had after cutting and dividing the loaves. She had 4 loaves of bread total. After cutting one loaf in half and storing one half, she was left with 3.5 loaves. She then divided the 3 full loaves into sixths, resulting in 18 pieces (3 loaves × 6 pieces), plus the half loaf she did not cut into sixths. Therefore, before the guests ate, Miss Quinn had 18 pieces + 1 half loaf (considered as 1 unit here), for a total of 19 units of bread.

Her guests ate 7 pieces of the bread divided into sixths, leaving Miss Quinn with 18 - 7 = 11 pieces of the sixths and the half loaf in the freezer. Therefore, Miss Quinn has 11 pieces of bread + 1 half loaf left after her guests have eaten.

You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius has its center at the tree. If the corner of your porch is the origin and forward is the positive y direction, what equation represents the circle formed by the fence in your yard?

Answers

Answer:

[tex](x+4)^2+(y-5)^2=9[/tex]

Step-by-step explanation:

If the corner of your porch is the origin

4 ft to the left, x=-45 ft in front, y=5

The tree's location is at (-4,5).

A circular fence 3 ft in radius has its center at the tree(-4,5).

We want to determine the equation of a circle with center (-4,5) and radius 3 ft.

The equation of a circle center (h,k) with a radius of r is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h,k)=(-4,5), r=3

The equation formed by the fence therefore is:

[tex](x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9[/tex]

At the present time, Daniel is 8 years older than his cousin William. In two years' time, Daniel will be 3 times older than William is at the present time. How old is Daniel at the present time?

Answers

Answer:

Daniel is 10 years old presently

Step-by-step explanation:

Since we do not know the ages of both people, we assign variables.

Let Daniel’s present age be d while Willam’s present age is w

Daniel is 8 years older;

Mathematically;

d = w + 8 •••••••••••(i)

In two years time Daniel’s age will be d + 2 while William’s age will be w + 2

We know that Daniel will be 3 times as old as Williams will be in these two years time

Mathematically;

d + 2 = 3(w + 2) ••••••• (ii)

From equation 1, we have w = d-8

we substitute this into equation ii

d + 2 = 3(d-8+2)

d + 2 = 3(d-6)

d + 2 = 3d - 18

3d - d = 18 + 2

2d = 20

d = 20/2

d = 10 years

Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office?

Answers

This question is incomplete and it also lacks an attached diagram.

Find attached to this answer the appropriate diagram.

Complete Question:

The conditional relative frequency table was generated using data that compared the cost of one ticket for a performance and the method by which the ticket was purchased.

Given that Lorenzo paid more than $30 for a ticket, what is the probability that he purchased the ticket at the box office? Express the answer in decimal form

Answer:

0.14

Step-by-step explanation:

From the attached diagram, we were given a table that contained known values:

The number of tickets that were purchased online we have 2 categories

a) Not more than $30 = 0.7

b) More than $30 = 0.86

The number of tickets that were purchased at the box office also had 2 categories.

a) Not more than $30 = 0.3

b) More than $30 = 0.14

The probability that the ticket Lorenzo paid more than $30 for was purchased at the box office

= P( more than $30 at the box office)

= 0.14

Answer: A or 0.14

Step-by-step explanation:

Trust me sir

30 POINTS! PLEASE ANSWER I SM VERY CONFUSED! Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributing the One-fourth to get . The first step is . The second step is . The answer is .

Answers

Answer:

x=8.

Step-by-step explanation:

Distribute the 1/4 to get:

4+3x= 28.

Now, subtract both sides by 4, giving you:

3x= 24.

Divide both sides by 3, resulting in:

x=8.

Answer:

x=8.

Step-by-step explanation:

Distribute the 1/4 to get:

4+3x= 28.

Now, subtract both sides by 4, giving you:

3x= 24.

Divide both sides by 3, resulting in:

Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?

Answers

Answer:

24:1

Step-by-step explanation:

To find the scale used to make the poster we just need to find the ratio between the poster and the button, and we do this by dividing the length and width of the poster by the length and width of the button.

So, we have that:

ratio = length poster / length button = 5 feet / 2.5 inches = 2 feet to 1 inch

ratio = width poster / width button = 4 feet / 2 inches = 2 feet to 1 inch

if 1 foot is equal 12 inches, we have a ratio of 2*12 inches to 1 inch = 24 to 1 (24:1)

Marco has 1/5 of his clothes in the laundry. What percent of his clothes are in the laundry

Answers

Answer:

20%

Step-by-step explanation:

1/5=.2

.2*100=.20%

The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.

2-column table with 5 rows. First column labeled area (square feet) with entries 60 is less than or equal to A is less than 80, 80 is less than or equal to A is less than 100, 100 is less than or equal to A is less than 120, 120 is less than or equal to A is less than 140, 140 is less than or equal to A is less than 160. Second column labeled number of rooms with entries 4,6,5,3,1.
Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data?

The histogram is right-skewed, so the mean is less than the median.
The histogram is right-skewed, so the mean is greater than the median.
The histogram is left-skewed, so the mean is less than the median.
The histogram is left-skewed, so the mean is greater than the median.

Answers

Answer:

The histogram is right-skewed, so the mean is greater than the median.

Step-by-step explanation:

The true statement about the mean and the median of the data is that: B. histogram is right-skewed, so the mean is greater than the median.

What is a histogram?

A histogram refers to a type of chart that is used to graphically represent and display a set of data points into user-specified ranges, especially through the use of bars (rectangles).

Based on the distribution table, we can deduce the following points:

The frequencies of the bedroom areas are not equal.The frequencies of the first three bedroom areas are greater than the last two (2) areas, which implies that there would be more data on the left side.

This ultimately implies that, the distribution of data on the histogram is right-skewed and as such the mean is greater than the median.

Read more on histogram here: brainly.com/question/21304143

Select the correct answer. Use the discriminant to determine the number of real solutions to the quadratic equation given below. two real solutions one real solution infinite solutions no real solutions

Answers

Answer:

where is the equation

Step-by-step explanation:

b^2-4ac>o 2 real #zeros  2 x-intercepts

b^2-4ac=0 1 real number zeros 1 x-intercepts

b^2-4ac<0 0 real number zeros 0 x-intercepts

A baby elephant can weigh 170 pounds at birth. Approximately how many kilograms is this?

Answers

Answer:

77.1107

Step-by-step explanation:

for an approximate result, divide the mass value by 2.205

hopefully this help's

Answer:

170lbs = 77.1107

Step-by-step explanation:

1lb=0.453592

The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use π = 3.14.) (1 point) Group of answer choices 64 32 8 4

Answers

Answer:

r = 8 inches

Step-by-step explanation:

[tex]\frac{1}{3}\pi r^{2}h=1004.8\\\\\frac{1}{3}*3.14*r^{2}*15=1004.8\\\\3.14*r^{2}*5=1004.8\\\\r^{2}=\frac{1004.8}{3.14*5}\\\\r^{2}=64\\\\r=\sqrt{64}\\\\ r=8[/tex]

What is an equation of a line through the points (-3,-2) and(3,6)? Put your answer in fully reduced form.

Answers

Answer:

m=6+2/3+3=8/6=4/3

y-y1=m(x-x1)

Y+2=4/3(x+3)

Y=4x/3 +4-2

y=4/3 x+2

Step-by-step explanation:

I need to figure this out

Answers

Answer:

A+ B is the radius of the circle

When we draw line AE it is also a radius of the circle

Line EC^2 = AE^2 -AC^2

Line EC^2 = 8^2 -5^2

Line EC^2 = 64 -25

Line EC^2 = 39

EC = square root of 39 = 6.2449979984

EC = 6.245 rounded.

Step-by-step explanation:

How many seconds will it take the object to reach the ground?

Answers

Final answer:

It will take approximately 5.05 seconds for the object to reach the ground.

Explanation:

In order to determine how long it will take an object to reach the ground, we need to consider the height from which the object is dropped. Let's assume the height is 75.0 m.

The time it takes for an object to fall to the ground can be calculated using the equation t = sqrt(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s^2).

Plugging in the values, t = sqrt(2 * 75.0 / 9.8) = sqrt(150 / 9.8) ≈ 5.05 seconds.

Therefore, it will take approximately 5.05 seconds for the object to reach the ground.

A bottle holds 24 ounces of water. It has x ounces of water in it. Write an equation to represent this situation. Remember: An equation needs to have an equal sign and a variable (letter) to represent the unknown amount.

Answers

Answer:

x=24

Step-by-step explanation:

The bottle has 24 ounces of water in it. Then it said it had x ounces in it. So that's very easy, x=24 because they are equal. :D

Answer:

im pretty sure it is x=24 because the x value is the ounces. The bottle holds 24 ounces of water. In the bottle how many? Answer is x=24

Step-by-step explanation:

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