Answer: 2a/3 + b/3
Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.
Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?
Answer:
$375
Step-by-step explanation:
If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.
1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?
Answer:
(69.708 ; 74.292) ; 78% ; 350 ;
H0 : μ = 72
H0 : μ > 72
Pvalue = 0.8897
there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Step-by-step explanation:
99.5% confidence level, = 2.807
Sample size, n = 150
xbar = 72
Standard deviation, s = 10
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 2.807 * 10/sqrt(150)
Margin of Error = 2.292
Lower boundary = 72 - 2.292 = 69.708
Upper boundary = 72 + 2.292 = 74.292
(69.708 ; 74.292)
B.)
Confidence level of the interval (71, 73)
(72 - 71 ) or (73 - 72)
Margin of Error = 1
Margin of Error = Zcritical * s/sqrt(n)
1 = Zcritical * 10/sqrt(150)
1 = Zcritical * 0.8164965
Zcritical = 1 / 0.8164965
Zcritical = 1.2247
α = 0.22 = 1 - 0.22 = 0.78 = 78%
C.)
Margin of Error = ±1.5
1.5 = Zcritical * s/sqrt(n)
99.5% confidence level, = 2.807
1.5 = 2.807 * 10/sqrt(n)
1.5 = 28.07 / sqrt(n)
Square both sides
1.5² = 28.08² / n
2.25n = 788.4864
n = 788.4864 / 2.25
n = 350.4384
n = 350 samples
D.)
H0 : μ = 72
H0 : μ > 72
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(73 - 72) ÷ 10/sqrt(150)
Test statistic = 1.2247
Pvalue :
P(Z < 1.2247) = 0.8897
Pvalue > α
0.8897 > 0.005
We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Any help would be appreciated
Answer:
$8.25
Step-by-step explanation:
I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.
I could really use some help with this
Answer:
see explanation
Step-by-step explanation:
f(x + 2) is a horizontal translation of f(x) 2 units to the left
f(x - 2) is a horizontal translation of f(x) 2 units to the right
Given
f(x) = x³ , then
f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left
f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right
john takes a small business loan
for $18,000. the term for
repayment is 60 months and
the annual interest rate is 5.25%.
using the monthly payment
formula, what is the estimated
monthly payment?
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Answer:
$341.75
Step-by-step explanation:
You have not provided the formula, so we'll use one we like:
A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months
A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75
The monthly payment is about $341.75.
keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?
Answer:
7920
Step-by-step explanation:
Calculator
Help me please !!!!!!!!!!!!!!
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answer:
gay
Step-by-step explanation:
Emily has six black marbles, ten clear marbles, and four blue marbles in a bag. If she picks one
at random, what is the probability that she will pick a black marble?
Answer:
3/10
Step-by-step explanation:
A cold water tap can fill a tub in 6 minutes, and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drai is open, how long will it take to fill the tub? It will take
how many minutes?
Answer:
12 minutes
Step-by-step explanation:
The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath
This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?
Answer:
1 workbook
Step-by-step explanation:
Equation:
d = 64.6t
Given:
d = total cost
t = number of workbooks
Work:
d = 64.6t
64.6 = 64.6t
t = 64.6/64.6
t = 1
Answer: 1 work book t=1
Step-by-step explanation:
The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?
:
The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.
For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%
Answer:
66.7%
Step-by-step explanation:
the value increased by 26
percentage increase =increase /initial value ×100
=26/39×100=66.7%
Guys please help i dont understand im bad at math
Find the area of the polygon to the nearest square inch.
Answer:
137 in.^2
Step-by-step explanation:
A = nsa/2
where
n = number of sides = 9
s = length of side = 4.7 in.
a = length of apothem = 6.5 in.
A = (9)(4.7 in.)(6.5 in.)/2
A = 137.475 in.^2
Answer: 137 in.^2
I will give Brainliest answer!
What is the volume of the cylinder below? write your answer in terms of pie.
Height= 11.5 cm
Radius= 6 cm
Answer:
414π
Step-by-step explanation:
Volume of a cylinder = area of circle/ cross-section x height
Area of cross-section = πr² = 6²π = 36π
36π x 11.5 = 414π
Answer:
1300.61936 cm
Step-by-step explanation:
:))
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A
PLEASE HELP ASAP!!!! GOING TO GIVE 30 POINTS
Answer:
The second answer option
Step-by-step explanation:
Lmk if you need explanation
Is this the correct answer? Pls help me
Answer:
Yes
Step-by-step explanation:
HELP ME PLS THANK YOU<333
Answer:
d
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
please help and also how did u get ur answer
You have started to work for a company that has a benefits package that includes contributions to a retirement account. You plan to put $160 per month into the account. The company will contribute 20%. The account is setup with an APR of 9.0% for 32 years.
What is the total monthly amount put into the account?
Excel gives the amount in your retirement account as $425,570.83 after 32 years.
How much more is in the account after 32 years than what you put in?
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Answer:
$364,130.83
Step-by-step explanation:
You put in $160 monthly for 32 years, so your contribution is ...
$160×12×32 = $61,440
The difference between the account balance and your contribution is ...
$425,570.83 -$61,440 = $364,130.83
There is $364,130.83 more in the account than what you put in.
A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?
Answer:
2/8
Step-by-step explanation:
freshman=4/8
1/8 soph 1/8 jr
add all together u get 6/8
the rest is seniors so its 2/8
Pleaseeee helpp which one is it and whyyyy!!!!
Answer:
answer is A
Step-by-step explanation:
A machine used to fill beverage cans is supposed to put exactly 12 ounces of beverage in each can, but the actual amount varies. The standard deviation of fill volumes is 0.05 ounce. How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce? Round your answer UP to the nearest integer.
Answer:
A sample of 151 cans must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation of fill volumes is 0.05 ounce.
This means that [tex]\sigma = 0.05[/tex]
How large a sample of cans must be selected to estimate the population mean fill volume with a 95% confidence interval that has a margin of error of 0.008 ounce?
We need a sample of n.
n is found when M = 0.008. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.008 = 1.96\frac{0.05}{\sqrt{n}}[/tex]
[tex]0.008\sqrt{n} = 1.96*0.05[/tex]
[tex]\sqrt{n} = \frac{1.96*0.05}{0.008}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.05}{0.008})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
A sample of 151 cans must be selected.
A cylinder has a volume of 8792 cubic units. If the height is 7 cubic u it’s which of the following is the radius
Answer:
20 units
Step-by-step explanation:
Volume of a cylinder = πr²h
V = πr²h
height, h = 7
V = π * r² * 7
V = 8792
8792 = 21.991148 * r²
r² = 8792 / 21.991148
r² = 399.79722
r = √399.79722
r = 19.99unit
r = 20 units
Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box.
If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A. y = 84(x - 6) + 12
B. y = 12x + 84
C. y = 84x + 12
D. y = 12(x - 6) + 84
Answer:
Step-by-step explanation:
10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20
Answer:
17
Step-by-step explanation:
[tex]\sqrt{x} = 4.1[/tex]
16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D
I’ll give points + brainslist, if you don’t know don’t bother answering (:
Find the value of x
Please help
Answer:
b
Step-by-step explanation:
subtract 9 from 16
Round your answer to the nearest tenth of a cubic centimeter.
Answer:
22.1
Step-by-step explanation:
Because of it being a pyramid we must use the equation Bh1/2
B = L + W we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height
9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5
44.16/2 = 22.08 then finally rounding to the nearest tenth
making 22.1 cubic inches
Find the least common multiple (LCM) for the pair of numbers 6 and 18
Answer:
the lcm is 6
Step-by-step explanation:
6 divided by 3 is 1
18 divided by 3 is 6
6 becomes 3 and 2
Answer:
18
Step-by-step explanation:
Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM
