Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 26 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal. A button hyperlink to the SALT program that reads: Use SALT. (a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.) Incorrect: Your answer is incorrect. % (b) If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month)? months
Answer:
a
[tex]P(X < 24 )= 21.186\% [/tex]
b
[tex]x = 19.78 \ months[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 26 \ months[/tex]
The standard deviation is [tex]\sigma = 4 \ months[/tex]
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as
[tex]P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 24 )= P(Z < -0.8 )[/tex]
Generally from the z-table
[tex]P(Z < -0.8) = 0.21186[/tex]
So
[tex]P(X < 24 )= 0.21186[/tex]
Converting to percentage
[tex]P(X < 24 )= 0.21186 * 100[/tex]
=> [tex]P(X < 24 )= 21.186\% [/tex]
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as
[tex]P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06[/tex]
=> [tex]P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06[/tex]
From the normal distribution table the z-score for 0.06 at the lower tail is
[tex]z = -1.555[/tex]
So
[tex]\frac{x - 26}{4} = -1.555[/tex]
=> [tex]x = 19.78 \ months[/tex]
A ferris wheel can accommodate 70 people in 20 minutes; how many people could ride the ferris wheel in 4 hours?
Proportional Question
Answer:
840
Step-by-step explanation:
if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?
Answer:
315
Step-by-step explanation:
5 x 7 = 35
280 + 35 = 315
There sth answer
Answer:7 inches → 280 yards
1 inch → 280 ÷ 7 = 40 yards
5 inches → 40 x 5 = 200 yards
Area = 280 x 200 = 56 000 yards
hope this help btw i am 12
Step-by-step explanation:
can someone help me x -y =1
and can yall explain how you solved it
Answer:
x = 1 + y
Step-by-step explanation:
add y to both sides, and that is basically it
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1
Answer:
D
Step-by-step explanation:
y=kx+m
In this case I think the slope would be k.
k=y2+y1 / x2+x1
(4,-1) and (-1,4)
k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1
When dividing fractions, like 1/5 divided by 3/4 what do we do?
Answer:
we cry bc math is hard JKK unless ?
but fr we can write out an equation by doing (1/5 ÷ 3/4) and then switch the sign to multiplication and we can keep the first fraction the same (in this case 1/5) and then we flip the second fraction BUT when we flip the second fraction upside-down we have to change the symbol to multiplication (1/5x4/3)
then after that all we do is multiply the denominators and numerators :)
1 x 4 = 4
_______
5 x 3 = 15
answer would be 4/15
A fraction is a way to describe a part of a whole. The result of the division of the fraction is 4/15.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The division of two fractions is carried out by multiplying the dividend fraction(Numerator) by the reciprocal of the divisor fraction(Denominator).
The divisions of the given fractions are carried out as shown below.
1/5 ÷ 3/4
[tex]=\dfrac{\dfrac{1}{5}}{\dfrac{3}{4}}\\\\\\= \dfrac{1 \times 4}{5 \times3}\\\\=\dfrac{4}{15}[/tex]
Hence, the result of the division of the fraction is 4/15.
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y=-7x+6 in standard form. I’ll give brainliest. Hurry pls
Answer:
7x+y=6
Step-by-step explanation:
trust
what is the answer to 6y * 88 = 88 * 6y
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
can somebody help me pleaseee ?? it’s due soon & im stuck .
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
can you terminate 1/10
Answer:
Hope this helps...if it dosent, sorry
Step-by-step explanation:
How do you write 8.43 × 10^-4 in standard form?
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
Look at the picture to see question plz help quickly and step by step
Answer: 16.6
Step-by-step explanation:
help me plzzzzzzzzzzz
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answer:
1.3 kg/cm
Step-by-step explanation:
What is the solution to 4 x + 6 less-than-or-equal-to 18?
help
<3
Answer:
x is less-than-or-equal to 3
Step-by-step explanation:
4(3)+6 =18
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
3.46x + 6.38 = -4 the answer
Answer:
x = -3
Step-by-step explanation:
start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.
Which equation in standard form has a graph that passes
through the point (-5,11) and -2.5 is the slope.
Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost
Answer:
$26.82
Step-by-step explanation:
It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
Learn more about slopes here:
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Mikel has a chance to win a trip on a TV game show. All he has to do is win the “Shopping Game". In
this game, Mikel is shown six grocery store items without being shown the prices. He must buy
multiples of items until he has a total between $20 and $21 inclusive. If he doesn't reach $20 with his
first item, he continues buying items and adding to his total, until he either wins by getting an amount
between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20.
First, Mikel buys six bottles of shampoo.
Solve the inequality. Round each answer to the hundredths place.
Answer:
$20 <= X < = $21
Step-by-step explanation:
You are told that he loses by going over $21 or by buying all items and being less than $20.
That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.
If Mikel buys six bottles of shampoo, x represents the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,
$20 <= X < = $21
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
5. Do this without using a calculator
Calculate 39 × 63 + 39 × 37
A. 3,510. B. 3,900. C. 4,290. D. 97,812
Answer:
3900
Step-by-step explanation:
Not really sure how to explain this one.
A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4