Answer:
42
Step-by-step explanation:
16 dividied by 4 is 4
4 minus 4 is 0
and 0 plus 42 is 42
Answer:
45
Step-by-step explanation:
4-16÷4+42
12÷4+42
3+42
45
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 71 brakes using Compound 1 yields an average brake life of 41,628 miles. A sample of 31 brakes using Compound 2 yields an average brake life of 36,379 miles. Assume the standard deviation of brake life is known to be 4934 miles for brakes made with Compound 1 and 4180 miles for brakes made with Compound 2. Determine the 98% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval.
Answer:
98% Confidencce Interval is ( 3030.6, 7467.4 )
Step-by-step explanation:
Given that:
Sample size [tex]n_1 =[/tex] 71
Sample size [tex]n_2 =[/tex] 31
Sample mean [tex]\overline x_1 =[/tex] 41628
Sample mean [tex]x_2 =[/tex] 36,379
Population standard deviation [tex]\sigma_1[/tex] = 4934
Population standard deviation [tex]\sigma_2 =[/tex] 4180
At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02
Critical value at [tex]z_{0.02/2} = 2.33[/tex]
The Margin of Error = [tex]z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }[/tex]
= [tex]2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }[/tex]
= [tex]2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }[/tex]
= [tex]2.33 \times \sqrt{906504.06 }[/tex]
= 2218.40
The Lower limit = [tex]( \overline x_1 - \overline x_2) - (Margin \ of \ error)[/tex]
= ( 41628 - 36379 ) - ( 2218.40)
= 5249 - 2218.40
= 3030.6
The upper limit = [tex]( \overline x_1 - \overline x_2) + (Margin \ of \ error)[/tex]
= ( 41628 - 36379 ) + ( 2218.40)
= 5249 + 2218.40
= 7467.4
∴ 98% Confidencce Interval is ( 3030.6, 7467.4 )
What are the coordinates of the vertices of AA'B'C' after each movement?
Answer:
The answer is in the picture attached.
Step-by-step explanation:
Edmentum Sample Answer
Answer:
Step-by-step explanation:
(1-,1, (2,0), ( 3,-2 )
(-4, 2),(-3,3),(2,1)
(-3,-3), (-2,-2), (-1,4)
12) Twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100
pounds. Write and solve an absolute-value inequality for the possible weights of a
cubic foot of marble.
Answer:
Let's suppose that one cubic foot of marble is x.
20x = 3400
But because the weight has a range of +-100, then 20x is between 3300 and 3500. Write it like this:
3300<20x<3500
Divide by 20:
165<x<175
The meaning of this is that one cubic foot of marble weight between 165 and 175 pounds
The obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.
Given that, twenty cubic feet of marble can weigh 3400 pounds, plus or minus 100 pounds.
What is an absolute-value inequality?Absolute value inequalities are inequalities in algebra that involve algebraic expressions with absolute value symbols and inequality symbols. In simple words, we can say that an absolute value inequality is an inequality with an absolute value symbol in it. It can be solved using two methods of either the number line or the formulas. An absolute value inequality is a simple linear expression in one variable and has symbols such as >, <, ≥, ≤.
Now, the weight has a range of ±100, then 20x is between 3300 and 3500.
That is, 3300<20x<3500
Divide the inequality by 20.
So, 165<x<175
Therefore, the obtained inequality shows that one cubic foot of marble weight between 165 and 175 pounds.
To learn more about an absolute-value inequality visit:
https://brainly.com/question/4688732.
#SPJ2
Consider a problem where we are rolling 2 dices where each dice has 6 faces numbered from 1 to 6.Answer the following questions:(1) What is the sample space?(2) If the event we are interested in is the sum being 10, what would be the probability of observingsuch an event?(3) If the event we are interested in is the sum being 6, what would be the probability of observingsuch an event?
Answer:
1. See Explanation for Sample Space
2. [tex]P(10) = \frac{1}{12}[/tex]
3. [tex]P(6) = \frac{5}{36}[/tex]
Step-by-step explanation:
Given
Roll of Two die
Solving (1): The Sample Space
Represent the first dice with S1 and the second with S2
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
[tex]S_2 = \{1,2,3,4,5,6\}[/tex]
The sample space of both die is:
[tex]S = (1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)[/tex][tex](4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(55,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}\}[/tex]
Solving (2): Probability of Sum being 10
First, we need to add the outcome of each roll in (1) above:
[tex]S = \{2,3,4,5,6,7, 3,4,5,6,7,8, 4,5,6,7,8,9, 5,6,7,8,9,10, 6,7,8,9,10,11 7,8,9,10,11,12\}[/tex][tex]n(S) = 36[/tex]
[tex]n(10) = 3[/tex]
The required probability is:
[tex]P(10)= \frac{3}{36}[/tex]
[tex]P(10) = \frac{1}{12}[/tex]
Solving (3): Probability of Sum being 6
[tex]n(S) = 36[/tex]
[tex]n(6) = 5[/tex]
The required probability is:
[tex]P(6) = \frac{5}{36}[/tex]
if you dig a 6 foot hole, how deep is that hole?
Answer:
Ummmm issa bout 20 feet
Step-by-step explanation: beetle juice
Answer:
20 feet
Step-by-step explanation:
The owner of Animal Lovers Pet Shop just got a delivery of 315 bags of cat food and you need to put the bags on 9 shelves. How many bags will be put on each shelf? Explain the long division steps you used to find your answer
Answer:
Sample Response: Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.
Step-by-step explanation:
heres the sample response <3
Divide 9 into 31, multiply 9 and 30 to get 270, subtract 270 from 315 and get 45. Divide 9 into 45, multiply 9 and 5 and get 45, subtract 45 from 45 and get 0. The answer is 35.
Step-by-step explanation:
i did the test on edge
Evaluate 7x−y if x = 9 and y = 3.
12
13
60
76
[tex]7x - y[/tex]
Insert values for [tex]x[/tex] and [tex]y[/tex]
[tex]7 \cdot 9 - 3 = 63 - 3 = 60[/tex]
pls help me pls pls
Hope it helped
Thank YouWhich property does the equation illustrate?
0 +-b= -b?
Answer:
The property the equation illustrates would be the zero property of addition.
Step-by-step explanation:
The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.
Which number should go in the ?
5 + 3 = 3 + 0
5
3
8
Answer:
the answer is 5
Step-by-step explanation:
because 5+3 is 8 and 3+0 is 3 so you need 5 so it can be equal.
hoped i helped
A rectangular plot of land measures .25 miles In width and .75 miles in length. Find the area of the plot in square feet
Answer:
1,875
Step-by-step explanation:
by the way next time use a calculator not in a mean way ^^
Simplify completely -3 (4-9) + 6 - 2 (-8 + 5)
I need help on this question
Answer:
If they are the same size and length
Step-by-step explanation:
Angles are congruent if ,and only if ,they have the same measure.
Hope it helps.
In the first 1/6 hour of a rain storm, 1/10 inch of rain fell. If the rain continues to fall at the same rate, how much rain fell in 2 1/2 hours?
Answer:
3/2 inches
Step-by-step explanation:
7x 3/4 qeqeqeqeqeqeqeqeqeqe
Answer:
5.25
Step-by-step explanation:
Simplify the expression. 9(3 + 2w)
Answer: 27 + 18w
9 x 3 + 9 x 2w
Express the ratio DE/AB in simplest form
Irina wants to tile her floor using the translation shown below. Which is the rule for this translation? T–3, 2(x, y) T2, –3(x, y) T3, 2(x, y) T–2, 3(x, y)
Answer:
The answer is A, -3.2(x y).
Step-by-step explanation:
I thought the answer was D but I took the test and the answer ended up being A. (Brainliest?)
The rule for this translation is: T-3.2(x y). (Option A). This rule states that the original dimensions (ABCD) must move -3 units to the left and 2 units up to form A'B'C'D'.
What is a translation?Where tach point in a figure is moved the same distance in the same direction using a sort of transformation, this is known as translation.
Thus, examining the position of the old shape and the new, it is correct to indicate that the right translation given the coordinates is option A.
Learn more about translation at;
https://brainly.com/question/1046778
#SPJ6
Is -20 an irrational number or rational number
Answer: Rational number
Step-by-step explanation:
Let's write out the properties of rational and irrational numbers.
Rational
IntegersWhole numbersfinite decimalsrepeating decimalsIrrational
not rational numbers------------------------------------------------------------------------------------------------------------
Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.
20194+9283 - 372 = ?
will give brainliest or whatever
20,194+9,283 - 372 = 29,105
Helppp I don’t understand
Answer:
p = 2L + 2W
total fencing = 100 feet
we have w = 20
then
100 = 2L + 2W
100 = 2L + 2*20
100 -40 = 2L
2L = 60
L= 60/2 = 30
Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.
Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gal
what is equal to
[tex] \frac{( {2}^{3} ) {}^{3} }{( {3}^{3} ) {}^{3} } [/tex]
A.
[tex]( \frac{2}{3} ) {}^{6} [/tex]
B.
[tex]( \frac{2}{3} ) {}^{9} [/tex]
C.
[tex]( - 6) { }^{6} [/tex]
D.
[tex]( - 6) {}^{9} [/tex]
Answer:
B.
Step-by-step explanation:
Use function notation to represent the average speed of the car on the interval from t = 2 to t = 7 .
Answer:
[tex]Average\ Speed = \frac{s(7) - s(2)}{5}[/tex]
Step-by-step explanation:
Given
t = 2 to 7
Required
Find the average speed over these intervals
The function is not given; so, I'll represent the function as s(t)
When [tex]t = 2;[/tex]
[tex]s(t)= s(2)[/tex]
When [tex]t = 7[/tex]
[tex]s(t) = s(7)[/tex]
[tex]Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}[/tex]
This gives:
[tex]Average\ Speed = \frac{s(7) - s(2)}{7 - 2}[/tex]
[tex]Average\ Speed = \frac{s(7) - s(2)}{5}[/tex]
32 times 18 +52 = what plz help
Answer:
3640 and hi its meeeee i finally found you
Step-by-step explanation:
Consumers sometimes make choices that cause negative information to be put on their credit reports. Which of these is the most likely number of years that this negative information will remain on their credit reports? O A. 3 to 6 years OB. 7 to 10 years O C. 11 to 14 years OD. 15 to 18 years
Answer:
7-10 years
Step-by-step explanation
A negative choice will stay on for about 7 years in real life, so it would be B since the answer choice B was the only one with the number 7 in it
The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.
What is a negative credit card report?Generally speaking, negative information such as late or missed payments, accounts that have been sent to collection agencies, accounts not being paid as agreed, or bankruptcies stays on credit reports for approximately seven years.
Here is a breakdown of some of the different types of “negative” information and how long you can expect the information to be on your Equifax credit report:
Late payments remain on a credit report for up to seven years from the original delinquency date -- the date of the missed payment.
Bankruptcy public records stay on your Equifax credit report from seven to 10 years, depending on the type of bankruptcy.
Other negative accounts, such as repossessions, can also stay on your report for up to seven years from the date of the first missed payment that led to the negative status.
Hence The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.
To know more about negative credit card report follow
https://brainly.com/question/9913263
#SPJ2
please help me with this question! WILL MARK BRAINLIEST
Answer:
as reference angle is a
h=5
b=3
p=4
sinA= p/h= 4/5
cosA= b/h= 3/5
tanA= p/b=4/5
Step-by-step explanation:
Step-by-step explanation:
[tex]sine \: A = \frac{4}{5}\\\\
cosine \: A = \frac{3}{5}\\\\
tangent \: A = \frac{4}{3}\\\\[/tex]
Factor by grouping
ab + 7a + 4b + 28
Answer:
(b + 7)(a + 4)
Step-by-step explanation:
ab + 7a + 4b + 28
separate the polynomial into 2 sections
(ab + 7a) (+ 4b + 28)
simplify each expression
a(b + 7)
4(b + 7)
you see that you have (b + 7) in both expressions. take that aside.
(b + 7)
you are left with a and positive 4. put these two together
(a + 4)
now put the expressions together
(b + 7)(a + 4)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(b + 7)(a + 4)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ab + 7a + 4b + 28}[/tex]
Take a common
[tex] \dashrightarrow{ \sf{a(b + 7) + 4b + 28}}[/tex]
Take 4 common
[tex] \dashrightarrow{ \sf{a(b + 7) + 4(b + 7)}}[/tex]
Take ( b + 7 ) common
[tex] \dashrightarrow{ \sf{(b + 7)(a + 4)}}[/tex]
Hope I helped!
Best regards! :D
You work at a sporting goods store and make commissions on the products you
help sell. If you earn a 5.5% commission on all regular priced items, and a 4.5%
commission on all items on sale, how much do you earn in a week where you sell
$8,800 worth of regular goods, and $10,650 worth of items that are on sale?
Answer:
963.25
Step-by-step explanation:
8,800x0.055=484
10,650x0.045=479.25
484+479.25=963.25
Andy was buying
$5 hats and $3
gloves for every
person on his
Christmas list. He
also bought one roll
of wrapping paper
for $2. Let x
represent the
number of people
on his Christmas
list.
Answer:
5x+3x+2= total
x is total number of people times cost
Answer:
5x+3x+2=total
8x+2=total
Step-by-step explanation:
you add the 5x and 3x and get 8x plus the 1 roll which cost 2 and you have total money spent