The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?

Answers

Answer 1

Answer:

24 months

Step-by-step explanation:

Given :

Mean = 48

Standard deviation = 8

Zscore = - 3

Using the relation :

Zscore = (x - mean) / standard deviation

Where, x = score

-3 = (x - 48) / 8

-3 * 8 = x - 48

-24 = x - 48

-24 + 48 = x

24 = x

Score = 24


Related Questions

in a system of equations why is the intersection the solution

Answers

9514 1404 393

Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

23 points help plzzz

Which number is an integer?

O -3/4
O 1/5
O 2
O 4 2/3

Answers

The answer is 2 ez.

Answer:

2

Step-by-step explanation:

hope i helped :))

Why is this graph proportional?

Answers

Answer:

The graph represents a linear function that passes through the origin.

Step-by-step explanation:

Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.

3. Find the sector area of the circle. Use 3.14 for the value of Round your answer to the nearest tenth.
11 ft
150°

Answers

Answer:

a = 158.3 units²

Step-by-step explanation:

a = (∅/360) * πr²

using 11 ft as the radius

a = (150/360) * 3.14 * 11²

a = 158.3 units²

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(-3, 1)
(0,0)

Answers

Answer:

y=-3x

Step-by-step explanation:

The y intercept is zero because it goes through (0,0)

The slope is -3 because the line goes through -3 at 1, so it goes down 3 on the y axis for every 1 right on the x axis.

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks She writes the equation of the function like this E(x)=7x-25where the number of doors she knocks on during the week and is her earnings for the week in dollars.Which of the following are reasonable interpretations of the -intercept of Jessica's function?Check all that apply.

A. She can earn $7 per week even if she does not knock on any doors.
B. If she does not knock on any doors during the week, she will lose 25$.
C. She will lose 7$ per week if she does not knock on any doors
D. Her expenses are 25$

Answers

Answer:

D. Her expenses are $25

Step-by-step explanation:

option D.

B might sound plausible mathematically, but in reality no expenses arise by doing nothing at all

Express tan J as a fraction in simplest form

Answers

Answer:

Tan J = 3/4

Step-by-step explanation:

Recall, SOH CAH TOA

TOA means:

Tan J = Opp/Adj

Reference angle = <J

Opposite = 15

Adjacent = 20

Plug in the vakues

Tan J = 15/20

Simplify

Tan J = 3/4

Select the correct answer.
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average number of fish per cubic kilometer?
A.
2.205 × 1011
B.
1.8 × 104
C.
1.8 × 1010
D.
2.205 × 104

Answers

The correct answer is b

Find the volume of the cubes or rectangular prisms in cubic centimeters.

Answers

Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box

Step-by-step explanation:

The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given are dimensions of cuboid and cubes, we are asked to find their volumes.

We know that, volume of cube = side³

Volume of cuboid = length · width · height

1) Dimensions of the cuboid = 3/5, 4/5, 3/5

Volume = 3/5×3/5×4/5 = 36/125 cm³

2) Dimensions of the cuboid = 1/5, 2/5, 3/5

Volume = 1/5×2/5×3/5 = 6/125 cm³

3) Side of the cube = 1/5 cm

Volume = (1/5)³ = 1/125 cm³

4) Side of the cube = 2/5 cm

Volume = (2/5)³ = 8/125 cm³

Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³

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It represents the set of traits, competencies and values an individual would like to possess.

a. Perceived Self

b. The Ideal Self

c. Self-Identities

d. Self Esteem​

Answers

Answer:

The correct answer is - d. Self Esteem​

Explanation:

Self-esteem is how we value and perceive ourselves. It based on the believes and opinions we make for ourselves. It represents various traits and characteristics such as self-confidence, identity, feeling of belonging, and competency.

Values are the principle or opinions we make to follow and values provide a sense of identity and uniqunessgive you a clearer sense of self, meaning, more energy, focus, and self-esteem.

The option that represents the set of traits, competencies and values an individual would like to possess is;

Option B; The Ideal Self

Let us access all the given options;

Option A; Perceived self is simply defined as how an individual sees himself or herself.

Option B; The Ideal Self is defined as how an individual would like himself or herself to be. This means such an individual will wish he or she possessed certain traits or values.

Option C; Self Identities are simply how individuals identify and define themselves. For example an athlete, a Pastor, a doctor, a lecturer e.t.c.

Option D; Self esteem is simply defined as the worth or value individuals place on themselves

      Looking at the definitions above, in conclusion we can see that the only one that fits the description given in the question is The Ideal Self.

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ASAP PLSSSS HELP!!!!!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.

A)144
B)313
C)169
D)5
E)None of these answers are correct

Answers

Answer:

the answer is d or e i think its d but its one of the 2

Step-by-step explanation:

Pablo randomly picks three marbles from a bag of nine marbles (four red ones, three green ones, and two yellow ones).a). How many outcomes are there in the sample space outcomesb). How many outcomes in the event that none of the marbles he picks are red? outcomes

Answers

Answer:

not sure

Step-by-step explanation:

Graph the image of square CDEF after a reflection across the x-axis​

Answers

Answer:

If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:

(x,-y)

So we only change the sign of the y-component.

Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.

Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.

The original vertices are:

C = (-3, 7)

D = (0, 7)

E = (0, 10)

F = (-3, 10)

Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:

C' = (-3, -7)

D' = (0, -7)

E' = (0, - 10)

F' = (0, - 10)

Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.

Express in the form 1: n.
Give n as a decimal.
16 : 12

Answers

Answer: n will be 4

Step-by-step explanation:

PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!

Answers

Answer:

923.63

Step-by-step explanation:

the formula for the surface area of a cylinder is 2πrh + 2πr^2 ( i just looked it up lol)

Easy question 34.8 + 6.879 =?

Answers

Answer: Easy Answer: 41.679

Step-by-step explanation:

Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)?
?? Pls help :0

Answers

Answer:

option 2

Step-by-step explanation:

[tex]y - 8 = \frac{1}{2} (x - 4)\\\\y = \frac{1}{2}x - 2 + 8\\\\y = \frac{1}{2}x + 6\\\[/tex]

Kenny recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-4  = 0 and calculate its properties

hope this helps!

Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?

Round your answer to the nearest cent, if necessary.

Answers

Answer:

Margo will pay $ 44 in interest.

Step-by-step explanation:

Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:

3/12 x 11 = 0.25 x 11 = 2.75

1600 x 1.0275 = X

1644 = X

1644 - 1600 = 44

Therefore, Margo will pay $ 44 in interest.

Solve for t, 0 < t < 27.
21 sin(t)cos(t) = 12 sin(t)​

Answers

Answer:i

Step-by-step explanation:i

Fill in the missing number to make these fractions equivalent 15/25 = ?/5

Answers

Answer:

3

Step-by-step explanation:

25 divided by 5 is 5

therefor 15 divided by 5  is 3

15/25 = 3/5

Answer:

3

Step-by-step explanation:

[tex]\frac{15}{25} =\frac{?\\}{5}[/tex]      25 divided by ? = 5? The number 5 so divide 15 as well

15 ÷ 5 = 3

[tex]\frac{15}{25} =\frac{3}{5}[/tex]

Hence, 3 is the answer

Please mark me as brainliest if you can or give me a thanks

Plz help me with is question, ill try to give brainliest

Answers

Answer:

[tex]\text{B. } (8,6)[/tex]

Step-by-step explanation:

In slope-intercept form [tex]y=mx+b[/tex]:

[tex]m[/tex] represents slope[tex]b[/tex] represents the y-intercept [tex](x,y)[/tex] represent the coordinates of any point the line passes through

In slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].

To find the point of intersection, set those two equations equal to each other and solve:

[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]

[tex]y=x-2,\\y=8-2,\\y=6[/tex]

Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]

if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240​

Answers

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
A) Stock A is worth $55.15 more than Stock B.
(they won a radio contest)
B) Stock A is worth $74.93 more than Stock B.
(they are best friends)
C) Stock B is worth $55.15 more than Stock A.
(they wanted to get attention)
D) Stock B is worth $74.93 more than Stock A.
(they were training for a marathon)
CADRUG

Answers

Answer:

i think its b

Step-by-step explanation:

There are 36 male and 24 female students in a cultural competition
a ) Write the percentage of students in the competition
b ) Write the percentage of female students in the competition​

Answers

Answer:

a. 24/60 = 40%

b. 24/60 = 40%

Explanation:

it seems both the questiona have the same answer. how many students in the competition is what you are looking for, the total of people in the competition is 60(36+24). there are 24 students, so you divide 24 by 60 and you will get 40% for both questions.

3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each
basket. Now Basket A has three times as many plums as basket B. How many more
plums are there in basket A than basket B now.​

Answers

Answer:

87 many more plums are there in Basket A than Basket B

Step-by-step explanation:

Before

N = 58/2

Basket A = N x 7 + 58

Basket B = N x 7

Now

Basket A = 29 x 7 + 58

= 261/3

= 87

Basket B =  29 x 7

= 203 + 58

= 261/3

= 87

Basket A and B has a difference of 87 Plums

:) Thank you!!

Mr. Osborne needs two students to help him with a demonstration. He decides to draw two names out of a bag to make things fair. There are 9 girls and 12 boys in his class. What is the probability that he draws the names of two boys?

Answers

Yes thrust if forest
Answer: 2/21

Number chosen out of the total in the set.

Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic

Answers

Answer:

it's a linear

since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject

8x²-24= y

y= 2x + 1
y = -3x +6

Solve the solution to this system of linear equations

(Please help)

Answers

Answer:

yeahh, i'm proud of you

Step-by-step explanation:

Pythagorean Theorem
A rectangular park is 8 miles long and 6 miles wide. How
long is a pedestrian route that runs diagonally across the
park?
In this discussion, you will need to provide the solution
to the problem explaining the intermediate steps you
used in the process.

Answers

Answer:

10 miles

Step-by-step explanation:

The Pythagorean Theorem states a^2+b^2=c^2

So, (8^2)+(6^2)=c^2

64+36=100

Square root of 100=10

Determine the value of x

Answers

Answer:

the answer will be Root 2

Step-by-step explanation:

x^2 = 1^2 + 1^2

We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure

x^2 = 1 + 1

x^2 = 2

taking square root on both the sides

x = root of 2

The value of  x is [tex]\sqrt 2[/tex]  by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.

Given that in a right-angled triangle, base is equal to1 and hypotenuse is equal to x.

To find the value of x by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem, follow steps:

Step 1: Given right-angled triangle whose two angles are of equal measures that is equal to [tex]45^{\circ}[/tex]. That implies the triangle is an isosceles triangle.

That implies, perpendicular = base  = 1 .

Step 2: Applying the concept of Pythagoras theorem:

Pythagoras theorem states that (perpendicular[tex]{)}^2[/tex] +(base[tex]{)}^2[/tex] = (hypotenuse[tex]{)}^2[/tex]

Plugging the given and data from step 1 gives:

[tex](1)^{2}+1^2=x^{2}[/tex]

On substituting the square of 1 equal to 1 (gives):

[tex]x^{2} = 1+1[/tex]

On adding gives:

[tex]x^{2} =2[/tex]

Taking square root gives:

[tex]x=\sqrt{2}[/tex]

Therefore, the value of  x is [tex]\sqrt 2[/tex]  by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.

Learn more about  Pythagoras theorem  here:

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