Answer:
7.62 cm
Step-by-step explanation:
set up a proportion then cross-multiply:
1 / 50 = x / 381
50x = 381
x = 381/50
The standard recommendation for automobile oil changes is once every 3000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 49 customers who drive luxury cars and 38 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 3178 miles for the luxury car owners and 3200 miles for the compact lower-price cars. The sample standard deviations were 41.80 and 50.60 miles for the luxury and compact groups, respectively. Assume that the population distributions of the distances between oil changes have the same standard deviation for the two populations. Using the 1% significance level, can you conclude that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars
Answer:
We accept H₀ we have not enough evidence to support that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars
Step-by-step explanation:
Luxury cars sample:
sample size n₁ = 49
sample mean x₁ = 3178
sample standard deviation s₁ = 41,80
Compact lower-price cars sample
sample size n₂ = 38
sample mean x₂ = 3200
sample standard deviation s₂ = 50,60
Test Hypothesis:
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₁ - x₂ < 0 or x₁ < x₂
CI = 99 % then significance level is α = 1 % α = 0,01
Alternative Hypothesis indicates that we have to develop a one tail-test to the left
z(c) for α 0,01 is z(c) = -2,32
To calculate z(s)
z(s) = [ ( x₁ - x₂ 9 ] / √ (s₁²)/n₁ + (s₂)²/n₂
z(s) = ( 3178 - 3200 ) / √ 35,66 + 67,38
z(s) = ( - 22 / 10,15 )
z(s) = - 2,17
Comparing z(s) and z(c)
z(s) > z(c) - 2,17 > - 2,32
Then z(s) is in the acceptance region we accep H₀
X
A regular heptagon has a side of approximately 4.3 ft and an apothem of approximately 4.5 ft.
Find the area of the heptagon.
X
1+1
2.
X
4.5 ft
4.3
Answer: 67.725feet²
Step-by-step explanation:
A heptagon consist of 7 sides and Its area is calculated using the formula
= 1/2 × nsr
n = number of sides = 7
s = side length = 4.3
r = apothem = 4.5
Area = 1/2 × nsr
= 1/2 × 7 × 4.3 × 4.5
= 0.5 × 7 × 4.3 × 4.5
= 67.725feet²
What is the inverse of x/4 ?
ill give brainlist thingy lol
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
What is the answer to this question?
Answer: 12a^3b^4
Hope this helps
THERE IS A BATTLE BETWEEN THE TWO REPLIES DOWN BELOW! WHO WILL GET THE MOST LIKES?
Answer: Ok Good luck other contestant.
Rosalind made 969 donuts and put 8 donuts into each box. How many boxes of donuts were made
Answer:
121 donuts in each box
Step-by-step explanation:
969 divided by 8 = 121.125
(Ignore the remainder)
Step by step solution:
We know that there are 969 doughnuts, and there are 8 doughnuts per box. What we need to find out is how many boxes of doughnuts were made.
Step 1:
Set up an equation for Number of doughnuts (969) / Number of doughnuts per box (8) = Number of boxes made (x), which would look like this:
969/8 = x
Step 2:
Doing this, we can get 121.125, which leaves us with
121.125 = x
121.125 = 121.125
Which gives us the answer of 121.125, which we can shorten to 121, as the decimal is not necessary.
Checking our answer:
We can check our answer simply be rewording our 1st equation to solve for the number of doughnuts made. This would give us the equation Number of doughnuts per box (8) * Number of boxes made (121.125) = x. Solving this equation would look like
8 * 121.125 = x
969 = x
969 = 969
Answer: By completing the steps above we get 121, and we can check our work by rewording the problem to solve for the number of Doughnuts. Good Luck!
What is the domain of (-2, 5), (8, 6), (3, 12) (2, 6)
Answer:
The domain is (-2, 8, 3, 2)
Step-by-step explanation:
The domain is such because domain is the x-element or the one you see at first in the ordered pairs.
ryan deposited $1,000 into an accontthat earns 5% simple annual interest. how much does ryan have total after 10 years
Answer:
$500
Step-by-step explanation:
1000x.05=50 per year
50/year x 10 years =500
In a class test (+ 5) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Rayan scored 30 marks. If she has got 10 correct answers, how many questions has she attempted incorrectly?
(ii) Riya scores 44 marks by attempting 13 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
OK ITS OK IM GOD CALM DOWN
Answer:
Step-by-step explanation:
(1)
If she got 10 answers right, she got 5 * 10 = 50 marks before anything was deducted.
Since she wound up with 30 marks, she lost 50 - 30 = 20 marks. If you don't feel comfortable with this, call it -20
Each incorrect answer cost her -2 marks.
Divide -20 /-2 = 10
She has answered 10 questions incorrectly.
(ii)
5x - 2y = 44
x + y = 13 Multiply this equation by 2
2x + 2y = 26
Rewrite the first and third equations
5x - 2y = 44
2x + 2y = 26 Add
7x = 70 Divide by 7
x = 70/7
x = 10
So 10 questions were answered correctly
x + y = 13
10 + y = 13
y = 3
Answer
10 were answered correctly
3 were answered incorrectly
What is the average rate of change from x = −4 to x = 1?
Answer:
What is the average rate of change from x = −4 to x = 1? x= -4 x + 5
In order to add the fractions 2/5 + 3/4, first, we need to find the least common denominator. The LCD for 4 & 5 is 20. Now that we know the LCD is 20, what are the new equivalent fractions?
Answer:
8/20 and 15/20 and then you add to get 23/20 AKA 1 3/20
Step-by-step explanation:
Since you multiply 5 by 4 to get the LCD, apply the same method to the top: 2 times 4 is 8
Next do the same for the other fraction: 4 times 5 is 20 so apply that to get 3 times 5 is 15
Your final fractions will be 8/20 and 15/20
Then add and reduce to get 1 3/20
what is the value of 3 in 728.36
The length of arc GJ is equivalent to 26π/3 units.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given is the value of 3 in 728.36.
In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.
Therefore, the digit 3 is at tenths place in the decimal number 728.36.
To solve more questions on place value, visit the link-
https://brainly.com/question/29213222
#SPJ2
[tex]16 \div81 \: - 3 \div 4[/tex]
please note that this is exponents
Answer:
16/81-3/4[
=[16×4-3×81]/[81×4]=-179/324 is your answer
what solid can be folded from the net?
Answer:
I think it is triangular prisim
Answer:
Triangular prism
Step-by-step explanation:
plz plz plz help ill give brainly
Answer:
Width is 3
Step-by-step explanation:
_____________
/ / |
/ ______________/ |
2.5| | |
f | | |
e | | |
e | | |
t | | |
| | /
| | /
|______________|/ 3 feet
4 feet
One-third of 1/2 cake =_____ cake.
Answer:
1/6
Step-by-step explanation:
1/3 x 1/2 = 1/6
I FOUND ANOTHER SCAMMER!!!
they're everywhere now
Answer:
wow okay. I just want points tbh
Solve this please. Tell me an accurate answer for this word problem?
Answer:
81.8 kg
Step-by-step explanation:
Answer:
81.8
Step-by-step explanation:
Decimals work just like basic addition.
Line it up at the decimal point.
46.2
+ 35.6
_______
81.8
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = [tex]3\frac{1}{3}[/tex]
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = [tex]3\frac{2}{5}[/tex]
The improper fraction is 17/5
Decimal value 3.4
Wednesday = [tex]3\frac{3}{8}[/tex]
The improper fraction is 27/8
Decimal 3.375
Thursday = [tex]3\frac{1}{2}[/tex]
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
To learn more on Fractions click:
https://brainly.com/question/10354322
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Mr. Meadows has a 6 and a 1/2 gallon bucket. His dipping can hold one and a 1/2 gallons. 3 times this year to dip into the pond with the dipping can to fill the bucket to the top
Answer:4
Step-by-step explanation:
In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?
Answer:
Weight before 18 month = 18 pound
Step-by-step explanation:
Given:
Current weight of dog = 14 pound
Weight lose each month = 2/9 pound
Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month
Find:
Weight before 18 month
Computation:
Total weight lose = Weight lose each month x Total number of month
Total weight lose = 2/9 x 18
Total weight lose = 4 pound
Weight before 18 month = Current weight of dog + Total weight lose
Weight before 18 month = 14 + 4
Weight before 18 month = 18 pound
If P = (3, 1) and Q = (-3, -7), find The distance PO
Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units
Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the
following number of cards drawn from a deck until a queen appears.
3,12,3, 11,5,5, 3, 10, 12
Answer:
3
Step-by-step explanation:
.Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162
2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18
3. Yes there is a outlier. and i believe it's 82
4. i believe the mean will be 80 but then divided by 5 will be 16
hope this helped :D
Step-by-step explanation:
HELP ME I BEG YOU ALL
Answer:
A) 42 boys can count. B) 42/53
Step-by-step explanation:
Good luckk
1. Consider the surface area of the pyramid shown.
(a) Draw a net for the pyramid. Label all sides with measurements.
(b) Write an expression for the surface area of the pyramid and then find the surface area.
Answer:
i am also trying to figure out a
Step-by-step explanation:
i dont know if i am doing this wrong but i got non-fiction, fiction, children, school but it is not an option can someone double check
Answer:
non fic, fiction, children, school
Step-by-step explanation:
fiction: 1/4= 0.25
non fic: 1/2=0.50
school: 1/10= 0.10
children: 3/20= 0.15
Natasha goes bowling she pays $5.75 for an admission ticket and $9.25 for each round of bowling she plays the total amount of Tasha pays for admission and the number of rounds who plays is $33.50 which equation can be used to determine the number of rounds X that Natasha bowled
a.) 5.75 x + 9.25=33.50
b.) 9.25 X - 5.75= 33.50
c.) 5.75 + 9.25 X= 33.50
d.) 5.75 x - 9.25=33.50.
can you help me with this question i will give 40 points?
The probability that it will snow on Sunday is 3/5. The probability that it will snow on both Sunday and Monday is 3/10. What is the probability that it will snow on Monday, if it snowed on Sunday?
Answer:
1/2
Step-by-step explanation:
Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.
(and usually means multiply the probabilities while or implies addition of the probabilities).
Let probability of snowing on Monday be P
Hence 3/10=3/5× P
Hence P=(3/10) divided by (3/5) = 1/2