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

It takes Miguel 18 minutes to finish reading 4 pages of a book. How long does it take him to finish reading 30 pages

Answers

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

it should be 135 minutes, cuz you get 4.5 with 18 and 4

Given that events A and B are independent with P(A) = 0.55 and P(B) = 0.72,
determine the value of P(AB), rounding to the nearest thousandth, if necessary.

Answers

Answer:

Step-by-step explanation:

For independent events,

P(AB)=P(A)orP(B)

= P(A)uP(B)

=P(A)×P(B)

= 0.55×0.72

P(AB)=0.396

Area and circumference of this circle

Answers

Answer:

Step-by-step explanation:

Given: The radius is 6 cm

To find the area + circumference we need to use 2 formulas:

Area: pi* radius^2

Circumference: 2*pi*r

First we can do the area

I will use "pi" for pi instead of 3.14

pi * 6^2

= 36 pi

The area is 36 pi

Next, circumference

2 * pi *r

2*pi*6

= 12 pi

So the area is 36 pi, and the circumference is 12 pi

Three fifths of the adults at a party are male.
There are 40 adults at the party.
How many of the adults are male?

Answers

24 of the adults at the party are males.

Which of the following correctly names a side of the triangle below?


A. ZC
B. B
С. АВ
D. AABC

Answers

Answer:

C. [tex]\frac{}{AB}[/tex]

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]

Pleaseee helpppp!!! 20 points

Answers

Answer:

The correct option is (A).

Step-by-step explanation:

The given expression is :

[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]

The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².

We can write it as :

[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]

Canceling the common terms,

[tex]=\dfrac{2y^4}{x^4}[/tex]

So, the correct option is (A).

How many real equations does 8-4x=o have ?

Answers

Answer:1 real solution

Step-by-step explanation:

Given that ZABC = ZDBE, which statement must be
true?
ZABC - ZABD
ZABD Z CBE
Z CBD , ZDBE
Z CBD - ZABC

Answers

Answer:

B abd = cbe

Step-by-step explanation:

ABC = DBE

so

ABC + CBD = DBE + CBD

The statement which is true is ZABC - ZABD, the correct option is A.

What is a solution to a system of equations? (SOLUTION GRAPHICALLY)

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

We are given that;

Angle ABC = Angle DBE

Now,

A flowchart proof is a formal proof that is set up with boxes that flow from one to the next with arrows1. The statements, which are true facts that we know, are placed in the boxes, with the reason we know them on a line underneath2. We can prove theorems are true using flowchart proofs.

To justify each step in the flowchart proof, we have to provide a reason for each statement based on definitions, postulates, properties or previously proven theorems. Here is how we can fill in the blanks:

A: Given B: Definition of angle bisector C: Definition of congruent angles

Therefore, graphically the answer will be ZABC - ZABD.

Learn more about finding the solution graphically here:

https://brainly.com/question/26254258

#SPJ7

Linear function please help it’s due in 30 mins

Answers

Y=2x+1 Hope that helps

(2104ft)(1 yd/3 ft)(1 football field/100 yds

Answers

9514 1404 393

Answer:

  7 1/75 football fields

Step-by-step explanation:

Multiply it out. The units of feet and yards cancel, leaving football fields.

  = (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields

  = 7 1/75 football fields

What are the coordinates of the point that is 1/5
of the way from A(-7,-4) to
B(3,6)?
A. (-5,0)
B. (-5,-2)
C. (0,3)
O D. (1,4)

Answers

9514 1404 393

Answer:

  B.  (-5, -2)

Step-by-step explanation:

That point is ...

  A + 1/5(B - A)

  = (-7, -4) + 1/5(3 -(-7), 6 -(-4)) = (-7, -4) +1/5(10, 10)

  = (-7, -4) +(2, 2) = (-5, -2)

The point (-5, -2) is 1/5 of the way from A to B.

how can i solve the following
2(x + 3) = x - 4

Answers

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2*x+2*3=x-4

2x+6=x-4

2x-x=-4-6

x=-10

Answer:

[tex]x = - 10[/tex]

Step-by-step explanation:

Let's solve:

[tex]2(x+3)=x−4[/tex]

Step 1: Simplify both sides of the equation.

[tex]2(x+3)=x−4 \\ (2)(x)+(2)(3)=x+−4(Distribute) \\ 2x+6=x+−4 \\ 2x+6=x−4[/tex]

Step 2: Subtract x from both sides.

[tex]2x+6−x=x−4−x \\ x+6=−4[/tex]

Step 3: Subtract 6 from both sides.

[tex]x+6−6=−4−6 \\ x=−10[/tex]

please help I'm not good with word problems ​

Answers

Answer:

7 5/8

Step-by-step explanation:

5+2= 7 3/8+2/8=5/8 7+5/8=7 5/8

5 ²⁄₈+2 ⅜= 7 ⅝
7 ⅝ miles is the answer

What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?

Answers

9514 1404 393

Answer:

  x = 142

Step-by-step explanation:

You want to find x such that ...

  [tex]\sqrt{x+2} -15=-3\qquad\text{given}\\\\\sqrt{x+2} =12\qquad\text{add 15}\\\\x+2=144\qquad\text{square both sides}\\\\\boxed{x=142}\qquad\text{subtract 2 to get x by itself}[/tex]

Answer:

a

Step-by-step explanation:

If can someone help me.

Answers

9514 1404 393

Answer:

  Tim is correct. 5/8 > 1/2

Step-by-step explanation:

By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.

Tim's 5/8 share is the largest.

Kevin was asked to determine the length of side XZ. His work is shown.

Which error did Kevin make?

Answers

Answer:

A.// He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:

A density graph is used to find the probability of a discrete random variable
taking on a range of values.
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

This is false because A density graph is not used to find the probability of a discrete random variable taking on a range of values. This is because you have to use a calculations instead of a graph. The correct how to calculate is: Determine a single event with a single outcome. Identify the total number of outcomes that can occur. Divide the number of events by the number of possible outcomes.

Therefore, it's B ( false).

When setting the temperature of a refrigerator, is -1 or -5 the coldest!

Answers

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

-5 corresponds to the coldest temperature here.

Step-by-step explanation:

-5 is to the left of -1 on a number line and is therefore smaller than -1.

Determine the value of x.

1) 14.75
2)15.25
3)11.92
4)18.56

Answers

Opposite angles are supplementary, the sum is 180 degrees.
6x+10+81.5=180
Combine like terms:
6x+91.5=180
Subtract 91.5 to both sides:
6x=88.5
Divide 6 to both sides:
x=14.75
The answer is 1) 14.75
Hope this helped!

On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
To win the game, a contestant must select both buckets that contain a ball. Find the
probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Answers

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143[/tex]

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls in Mr. Greene's after school club. There are 4 boys and 12 girls in Mr. Johnsons club. There are 6 boys in Mr. Greene's club. How many girls are in Ms. Greene's club?

Answers

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]

2. Now lets plug the value in

[tex]\frac{6 \\boys}{x girls}[/tex]

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

Answer:

18 <3

Step-by-step explanation:

Pls help school is almost over

Answers

Answer:

correct answer is c

Step-by-step explanation:

2.44x10^-3

ou want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required

Answers

Answer: the required sample size =1658944

Step-by-step explanation:

When the prior population proportion for the study is unknown , then the formula for sample size is [tex]Sample \ size = 0.25(\dfrac{z^*}{Margin\ of \ error})^2[/tex]

z-value for 99% confidence = 2.576

[tex]Sample \ size = 0.25(\dfrac{2.576}{0.001})^2\\\\=0.25(2576)^2\\\\=1658944[/tex]

Hence, the required sample size =1658944

Christian Robbie are construction arytenoids stained glass window whose length is 7.3 inches longer than its width if the area of the window is 596.9 in.² find the width and the length

Answers

Answer:

w ≈ 21.053 inches

l ≈ 28.353 inches

Step-by-step explanation:

How many kiloliters are there in 19,000 milliliters?


A. 19
B. 1.9
C. 0.019
D. 0.0019

Answers

Answer:

C

Step-by-step explanation:

To convert milli- to kilo-, move the decimal point six places to the left

14.
Find the domain of

x ¹ -2 / x + 1

Answers

Answer:

?????????????????????????

Somebody Please Help!!!

Answers

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

hich is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Answers

Answer:

B or graph 2

Step-by-step explanation:

when y = 0 then x = 6

when x = 0 then y = -3

find those points

Answer: b

question

hich is the graph of the linear equation x – 2y = 6?

On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).

On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).

On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).

On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Helpp please… due at 12:00

Answers

Answer:alternate exterior angles

Step-by-step explanation:

Since they’re on the outside of the parallel lines that makes them exterior

The correct answer is C. Alternate Exterior Angles

According to the national association of home builders the mean price of an existing single family home in 2018 was $395,000. A real estate broker believes that existing home prices in her neighborhood are lower.

Answers

Answer:

[tex]H_o:\mu = 395000[/tex]

[tex]H_a:\mu < 395000[/tex]

Step-by-step explanation:

Given

[tex]\mu = 395000[/tex] -- mean price

Required

Determine the null and alternate hypotheses

From the question, we understand that the mean price is:

[tex]\mu = 395000[/tex]

This represents the null hypothesis

[tex]H_o:\mu = 395000[/tex]

The belief that the home prices are lower represents the alternate hypothesis

Lower means less than

So, the alternate hypothesis is:

[tex]H_a:\mu < 395000[/tex]

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