The lifespans of a particular brand of graphing calculator are approximately normally distributed with a mean of 620 days from the purchase date and a standard deviation of 82 days. They will provide a warranty that guarantees a replacement if the calculator stops working within the specified time frame and are trying to decide what time frame to use.
a. If the company sets the warranty at a year and a half (say 540 days), what proportion of calculators will they have to replace ?
b. The company doesn’t not want to replace more than 1% of the calculators they sell. What length of time should the set for the warranty?
c. The company would like to set the warranty for 540 days, and still replace no more than 1% of the calculators sold. Increasing the average life of the calculators is too expensive, but they think they reduce the standard deviation of the lifespans. What standard deviation of lifespans would be needed to make this happen ?
d. Explain what achieving a smaller standard deviation means in this context.

Answer: $‭1,666.55‬

Step-by-step explanation:

The amount of money that Scott will have in the bank will be the total of the money that was in the bank at the beginning of August plus any money received, less any money that was disbursed.

= Beginning balance + check from friend - check to local car shop - cash spent on groceries

= 1,910.30 + 41.50 - 75.00 - 210.25

= $‭1,666.55‬

Figure is assuming groceries were paid for by cash from bank account.

Answer:

x to the power of 3 or x^3

Answer:

Step-by-step explanation:

(y^3+7)

The correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

according to the question

Apply multiplicative distribution law

5[tex]z^{4}[/tex] - 3 + 8[tex]y^{3}[/tex] + 32

Combine like terms

5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

Hence, the correct expression is 5[tex]z^{4}[/tex] + 29 + 8[tex]y^{3}[/tex]

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Answer:  x=5

Step-by-step explanation:

18+0.85x=22.25

subtarct 18

0.85x=4.25

divide by 0.85

x=5

The number of lemonade should Justin give to each person is 7 with one lemonade still left.

It is given that Justin has 64 ounces of lemonade to divide among 9 people.

We have to find out that how much lemonade should he give to each person.

What will be the value of each part , if 120 is divided in 6 equal parts ?

The value of each part will be 120 divided by 6 or 120 ÷ 6 or 20 i.e., 120 is divided into 6 equal parts of 20 each.

As per the question ,

No. of ounces of lemonade to divide among 9 people = 64

No. of lemonade each people will get = 64 ÷ 9

or

64 ÷ 9 = 7.1111

So , we can't equally divide it because if 7 each is divided between 9 people , one lemonade will still be left.

i.e.,

7 × 9 = 63

64 - 63 = 1

1 still left

Thus , the number of lemonade should Justin give to each person is 7 with one lemonade still left.

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Answer: x=35

Step-by-step explanation: hi! i’m happy to help. subtract the three from both sides, multiply the entire problem by 5 to even out the x, and there’s your answer :)

Answer:

300<d<700

Step-by-step explanation:

Answer:

300 < d < 700

Step-by-step explanation:

we know thatin the triangle ABCAB=500 milesBC=200 milesAC=xApplying the Triangle Inequality Theorem1) 500+200 > x------> 700 > x------> x < 700 miles2) 200+x > 500----> x > 500-200------> x > 300 milesthe solution for x is 300 < x < 700

Answer:

y=2/3x-5

Step-by-step explanation:

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

i hope this work for you

Answer:

y=6 is the answer

Step-by-step explanation:

4y=39-15

4y=24

y=6

Answer

A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

Step-by-step explanation:

Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.

Answer:

Please see below :)

Step-by-step explanation:

I'll give the letters and match it with the numbers:

a - 3

b - 2

c - 4

d - 1

e - 2

f - 4

g - 1

h - 3

Please let me know if any of these are incorrect!

Answer:

$152

Step-by-step explanation:

To find Yoko's hourly pay, we will divide the $323 she made after working by 17, which is the number of hours she worked:

323 ÷ 17 = 19

We now know that Yoko makes $19 an hour (dang, she's probably a doctor or something) however, we're not done yet.

We will multiply $19 by 8 hours of work to see how much she'll make after 8 hours:

19 × 8 = 152

Yoko makes $152 after 8 hours of work.

Please rate 5 stars and/or say thanks if I helped!

~Roi

Answer:

4.9%

But I guess you may round to 5%, just be sure to say that you rounded from 4.9%.

The amount by Cesar’s minimum monthly payment increase will be $91.44.

Cesar only has 12 months left before he pays off his credit card completely.

His current balance = $3,750

                       APR = 17.5%

Now we use the formula :

[tex]\rm Present \ value \ of \ anuity= P=( 1-\frac{1+r}{r} })^{-n}[/tex]

PV = Present Value

P   = Periodic payment

r    = rate per period

n   = number of period

Now for the first case:

PV of annuity = $3,750

P =?

r = 17.5% annually = % monthly  monthly

n = 12 months

Now we put the values in the formula

[tex]3750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]

[tex]P=\dfrac{3750}{\dfrac{1-0.8405}{0.01458} }[/tex]

[tex]P=342.91[/tex]

Now for the second Case :

PV of annuity = 3750 + 1000 = 4750

P =?

r = 17.5% annually = % monthly =  monthly

n = 12 months

Putting the values in the formula

[tex]4750=P(1-\dfrac{(1+\dfrac{17.5}{1200})^{-12}}{\dfrac{17.5}{1200} } )[/tex]

[tex]P=\dfrac{4750}{1-\dfrac{1+\frac{17.5}{1200} }{\frac{17.5}{1200} } }[/tex]

[tex]P=\dfrac{4750}{\dfrac{0.1595}{0.01458} } =434.35[/tex]

Cesar's increased monthly payment will be

434.35 - 342.91 = 91.44

Hence, the amount by Cesar’s minimum monthly payment increase will be $91.44.

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Answer:

22- b

23- d

24- b

Step-by-step explanation:

22- perimeter =2(length + width)=2(40+20)=120

23- width =100m

length = 3×width =3×100=300

perimeter =2(300 +100)= 800

24= hanz perimeter = 40m

Arthur's perimeter =42m

hence Arthur needs more fence

Answer:

(9q + 5r)(9q - 5r)

Step-by-step explanation:

Given :-

81q² - 25r²

To Find :

Factors

Formula :-

a² - b² = (a + b)(a - b)

Solution :-

(9q + 5r)(9q - 5r)

Answer:

  11.78 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3(πr²h)

The cone's radius is half its diameter, so is 1.5 inches. The volume is ...

  V = 1/3π(1.5 in)²(5 in) = 3.75π in³ ≈ 11.78 in³

The cone can hold about 11.78 cubic inches of liquid.

_____

Additional comment

That's about 6.5 fluid ounces.

Answer:

make me brainlaiest.....

Answer:

The value of x = 5

The value of z = 107

Step-by-step explanation:

=> (6x+43)° +107° = 180° { linear pair }

=> 6x+43 +107 = 180

=> 6x + 150 = 180

=> 6x = 180-150

=> x = 30/6

=> x = 5

Now solve for z ,

107 = z { Vertically opposite angle }

Answer:

1/2 (14) ( 3x - 4 ) > 56

14/2 (3x-4) > 56

7 (3x-4) > 56

21x - 28 > 56

21x > 56+28

21x > 84

x < 4

Answer:

Step-by-step explanation:

The area of the triangle is

Given

Then

If A > 56, then solving inequation:

Answer:

3 to 1

Step-by-step explanation:

It is divided by 3.

Step-by-step explanation:

f(x) = 5x - 20

f(-1) = 5(-1) - 20 = - 5 - 20

= - 25

g(x) = x² + 5x - 11

g(2) = 2² + 5(2) - 11 = 4 + 10 - 11

= 3

Thus, f(-1) + g(2) = - 25 + 3 = - 22

Answer:

Step-by-step explanation:

Substituting x as -1 in f(x), f(-1)

F(-1)=5(-1)-20

F(-1)=-5-20

F(-1)=-25

Substituting x as2 into g(x), g(2)

G(x) =2^2+5(2)-11

G(x)=4+10-11

G(x)=3

F(-1)+g(2)=-25+3

=-22

Answer:

675

Step-by-step explanation:

Answer:

675

Step-by-step explanation:

Answer:

-7 & 1

Step-by-step explanation:

[tex] - 7 \times 1 = -7 \\ \\ - 7 + 1 = - 6[/tex]

Hope it helps you in your learning process.

See below...

(1/8)x = 11

Muliply 8 on both sides...

x = 88

Answer:

12,2,3

Step-by-step explanation:

Answer:

12,2,3 because 10×12=120 and 3×2=6