The shelf life of a battery produced by a major company is known to be normally distributed, with a mean life of 4 years and a standard deviation of 0.75 years. What is the upper quartile of the battery shelf life? What range of years contains the middle 68% of all battery shelf lives?

Answers

Answer 1

Answer:

4.5 years ; (3.25, 4.75)

Step-by-step explanation:

Given that :

Mean , m = 4

Standard deviation, s = 0.75

The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67

Therefore, the upper quartile Q3:

Q3 = mean + 0.67 * standard deviation

Q3 = 4 + 0.67(0.75)

Q3 = 4 + 0.5025

Q3 = 4.5025

Q3 = 4.5 years

Range of values that contain the middle 68%

According to the empirical rule;

68% is within 1 standard deviation of the mean

Therefore ;

Interval will be ;

Mean ± 1 standard deviation

(4 - 0.75) ; (4 + 0.75)

(3.25, 4.75)


Related Questions

Math Geniuses!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Sorry I don’t know the answer but have a great day! Hope you get the right answer!

[tex]3x+14\leq 13[/tex]

Answers

Answer:

x ≤ - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

3x + 14 ≤ 13 ( subtract 14 from both sides )

3x ≤ - 1 ( divide both sides by 3 )

x ≤ - [tex]\frac{1}{3}[/tex]

Answer:

x≤-⅓

Step-by-step explanation:

to understand the solving stepsyou need to know about:inequalityPEMDASgiven:

3x+14≤13

to solve:

x

let's solve:

[tex]step - 1 \colon \: define[/tex]

[tex]3x + 14 \leqslant 13[/tex]

[tex]step - 2 \colon \: subtract[/tex]

[tex]3x + 14 - 14 \leqslant 13 - 14[/tex]

[tex]3x \leqslant - 1[/tex]

[tex]step - 3 \colon \: divide[/tex]

[tex] \frac{3}{3} x \leqslant - \frac{1}{3} [/tex]

[tex]x \leqslant - \frac{1}{ 3} [/tex]

pls i need help with the attachment its my hw

Answers

Answer:

C

Step-by-step explanation:

It has to be c by process of elimination the circle has to be filled in and on the #5 and as you can see the only one was C

Answer:

D

Step-by-step explanation:

Solving the inequality

2x + 3 ≤ 5 ( subtract 3 from both sides )

2x ≤ 2 ( divide both sides by 2 )

x ≤ 1

The required number line will have a solid circle at x = 1 and the arrow will be going left.

The only graph with these conditions is D

Solve for x.

PLease need help

Answers

Answer:

x=7

Step-by-step explanation:

22x-4=7x-4+105

cancel both 4 out

22x=7x+105

15x=105

x=7

plz answer for 35 points​

Answers

The answer is b I think hope this helps

Answer:

The answer is B.

Step-by-step explanation:

x^2+19=10 solve algebraically
4x^2+3=43 solve algebraically

Answers

Answer:

[tex]a)\ x_1=-3i,\ x_2 =3i[/tex]

[tex]b)\ x_1=-\sqrt{10},\ x_2=\sqrt{10}[/tex]

Step-by-step explanation:

Given equations:

[tex]a)\ x^2+19=10\\\\b)\ 4x^2+3=43[/tex]

A. x² + 19 = 10

Step 1: Subtract 19 from both sides.

[tex]\\\implies x^2+19-19=10-19\\\\\implies x^2=-9[/tex]

Imaginary number rule: For any positive real number "k", [tex]\sqrt{-k} = i\sqrt{k}[/tex]

Note: Two imaginary (complex) solutions indicate that the graph will not intersect the x-axis. As a result, it has no real roots.

Step 2: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{-9}\\\\\implies x=\pm\ i\sqrt{9}\\\\\implies x=\pm\ 3i[/tex]

Step 3: Separate the solutions.

[tex]\implies x_1=-3i,\ x_2 =3i[/tex]

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

B. 4x² + 3 = 43

Step 1: Subtract 43 from both sides.

[tex]\\\implies 4x^2++3-3=43-3\\\\\implies 4x^2=40[/tex]

Step 2: Divide both sides by 4.

[tex]\\\implies 4x^2=40\\\\\implies \dfrac{4x^2}4=\dfrac{40}{4}\\\\\implies x^2=10[/tex]

Step 3: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{10}\\\\\implies x=\pm\ \sqrt{10}[/tex]

Step 4: Separate the solutions.

[tex]\implies x_1=-\sqrt{10},\ x_2=\sqrt{10}[/tex]

Use the grouping method to factor the polynomial below.

x^3+4x^2-3x-12

Answers

x³+4x²-3x-12
= x²(x+4)-3(x+4)
= (x+4)(x²-3)

A cyclist travels 15 miles in 45 minutes.
What is his average speed in mph?

Answers

The cyclist’s average speed in mph is 20mph

The answer is 20 Km/hr

first : you have miles . then change it into Km .

second: 45 min to sec

finally speed is the distance per unit time

Do 4x and 15+x have the same value when x is 5?
Are 4x and 15+x equivalent expressions? Explain your reasoning.

Answers

Answer:

1. yes 2. no

Step-by-step explanation:

Hi there!

When x is equal to 5, 4x and 15+x have the same value because 4*5= 20 and 15+5 = 20.

4x and 15+x are not equivalent expressions because they cannot be simplified to create the same expression nor will they produce the same answer every time.

I hope this helps!

solve. -0.63 ÷ -0.7 = ill give brainiest

Answers

Answer:

0.9

Step-by-step explanation:

plz brainliest

Answer:

0.9

Step-by-step explanation:

Carrie got a $65 gift certificate. She plans to buy a $12 rose bush and as many seed packets as she can for $1.79 each. Which of these inequalities shows x, the number of seed packets she can buy?

Answers

Answer:

she can buy the rose bush and 29 packets of seeds. So i think X= 29

Step-by-step explanation:

If a circle has a diameter of 24 inches, which expression gives its area in
square inches?

A. 12^2 • pi
B. 12 • pi
C. 24 • pi
D. 24^2 • pi

Answers

A= pi x r^2

radius is diameter / 2
r= 12
so your answer is
A=pi(12)^2

Write an exponential function in the form y=ab^x that goes through points (0,9) and (3, 576)

Answers

Answer:

An exponential function in the form y=9(4ˣ)

Step-by-step explanation:

Step(i):-

Given that exponential function

                  y = a bˣ ...(i)

The equation (i) passes through the point (0,9)

               9 = a (b )⁰ = a

             a =9

Step(ii):-

The equation (i) passes through the point (3,576)

            576 = 9(b)³

         ⇒    [tex]\frac{576}{9} = b^{3}[/tex]

      ⇒     64 = b³

     ⇒     4³ = b³

             [tex](4^{3} )^{\frac{1}{3} } = (b^{3} )^{\frac{1}{3} }[/tex]

             b = 4

Final answer:-

An exponential function in the form y=abˣ

An exponential function in the form y=9(4ˣ)

 

7. A rectangle has a perimeter of 24 motors
and an area of 35 square meters, what is
the length in meters of the longer side?
AI
B. 3
c.5
D.7
E8

Answers

Answer:

D

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

D

why must it be more than 20 characters???

What is the area?Write your answer as a fraction or as a whole or mixed number

Answers

Answer:

83 3/10

Step-by-step explanation:

multiple the numbers

Gerald works at a warehouse that ships products to various grocery stores. He has 230 boxes of oatmeal to ship.

Answers

Answer:

?????

Step-by-step explanation: check if you wrote the complete question.

If A is the set of all integers, choose the set B that will make the following statement false.B ⊆ A

B = {1, 2, 3}
B = {2.5, 3.5, 4.5}
B = {0}
B = {−4, −1, 0, 5, 10}

Answers

Answer:

B.

Step-by-step explanation:

The sets {1, 2, 3}, {0}, {-4, -1, 0, 5, 10} only include integers which makes the statement true. Since they are all integers they are all subsets.

Answer {2.5, 3.5, 4.5} does not include integers so therefore it is not a subset making the statement false.

Answer the question in the picture above.

Answers

Answer:

m is less than A apparently

Step-by-step explanation:

Help me please with math

Answers

Answer:

B. 1 and 10

Step-by-step explanation:

answer is b....have a good day

3-2(3x+1)=19
How would I solve this equation?​

Answers

Step-by-step explanation:

3-2(3x+1)=19

[tex]3 - 6x - 2 = 19 \\ 1 - 6x = 19 \\ - 6x = 19 - 1 \\ - 6x = 18 \\ x = - 3[/tex]

SOLUTION
5 Salvador drives 6.5 miles to his aunt's house. For every mile Salvador drives, the
amount of gas in the car's gas tank changes by -0.04 gallon. What is the total
change in the gallons of gas in the car's tank? Show your work.
SOLUTION

Answers

Answer:

-0.26 gallon

Step-by-step explanation:

-0.04x 6.5=0.26


At the farmer's market 1 dozen eggs cost 3.75 What is the cost for 1 dozen eggs?

Answers

Answer: The cost is 3.75

Step-by-step explanation: Since you wrote, 1 dozen eggs costs about 3.75, your question was, "What is the cost for 1 dozen eggs?" So the answer should be 3.75.

y varies inversely with x. If y = 4 when x= -6, find the constant of variation and find the value of y when x= -2

Answers

Answer:

constant of variation:  k = -24

y = 12 when x = -2

Step-by-step explanation:

y varies inversely with x equation is:  y = k/x

where 'k' if the constant of variation

plug in:

4 = k/-6

cross-multiply to get value of 'k' which is -24

plug in:

y = -24/-2

y = 12

Find the perimeter of a rectangle whose one side measures 20m and diagonal is 29m​

Answers

Answer:

Option A

Step-by-step explanation:

Answer:

1.You draw the rectangle and label on one side 20m

2.Draw a diagonal line inside the rectangle an label the line as 29m

3.Extract the the newly formed right angled triangle.

4.Find the hypotenuse (a+b=c) of the right angle which will give you the value of the unknown side.

5.Calculate the perimeter which is;

P=S+S+S+S

P= 20m+9m+20m+9m

P=29m+29m

P=58m

Sandra calculated her Taxable income as 39,250. She paid 6,000 dollars in federal withholding tax . Based on the table above , what is the amount Sandra Will receive as a refund

Answers

Answer:

i really dont even know

Step-by-step explanation:

Answer:

Sorry if it’s to late but the answer is 56:)

Step-by-step explanation:

Elimination method 3x + y = 14 4x - y = 7

Answers

Answer:

(3,5)

x=2 and y=5

Find the quotient 7/9 divide 5/6

Answers

Answer:

7/9 ÷ 5/6 = 42/45 as simplified as 14/15 in fraction form. 7/9 ÷ 5/6 = 0.9333 in decimal form.

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

7/9 x 6/5 = 42/45 = 14/15

brainliest pls

Use the Distributive Property and write the sum of the number as the product of the GCF.
30 + 12

Answers

Answer:

1,2,3 and 6 is the answer

Please help will give 20 points

Answers

Answer:

not sure but i think its B

Solve for x -2x -3<5

Answers

Answer:

Inequality form

x > - 8

Step-by-step explanation:

hope this helps

Answer:

i think it's

x > - 8

Step-by-step explanation:

hope this helps :)

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