9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
__
Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
For its study, 195 randomly selected Southerners were surveyed and found to watch a mean of 4.5 hours of sports per week. In the North, 148 randomly selected people were surveyed and found to watch a mean of 4.7 hours of sports per week. Find a 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions if the South has a population standard deviation of 1.5 hours per week and the North has a population standard deviation of 1.7 hours per week.
Answer:
The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = [ CI [-0.254, 0.654].
Step-by-step explanation:
The confidence interval for the true difference between the mean formula is given as:
μ1 - μ2 ± z × √(σ²1/n1 + σ²2/b2)
μ1 = Mean 1 = 4.5 hours
μ2 = Mean 2 = 4.7 hours
z = z score for 99% confidence interval = 2.576
σ1 = Standard deviation 1(South) = 1.5 hours
σ2 = Standard deviation 2(North) = 1.7 hours
n1 = number of samples 1 = 195
n2 = number of samples 2 = 148
Confidence Interval
= 4.5 - 4.7 ± 2.576 × √1.5²/195 + 1.7²/148
= 0.2 ± 2.576 × √0.0115384615 + 0.019527027
= 0.2 ± 2.576 × √0.0310954885
=0.2 ± 0.4542495969
Confidence Interval
= 0.2 - 0.4542495969
- 0.2542495969
= -0.254
Approximately = -0.654
= 0.2 + 0.4542495969
= 0.6542495969
Approximately = 0.654
Hence, The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = CI [-0.254, 0.654].]
Solve for x. 10x+2=32
!!!!!HURRY!!!!!
Yes ok.
10x+2=32
-2 -2
10x=30
/10 /10
x=3
Your Answer is
x=3Hope This Helps! Brainliest Would Be Greatly Appreciated.Answer:
x=3
Step-by-step explanation:
the first step is to subtract 2 from both sides because you want to isolate the variable, and the opposite of addition is subtraction. so, you do 10x + 2 = 32, and when you subtract 2 from both, you get 10x = 30. then, because 10 and x are being multiplied together, you want to divide both sides by 10 to get x alone. so, you get x = 30/10, so x = 3.
somebody help , i’ll thank you
Answer:
-5, 4 10, 1
Step-by-step explanation:
Solve by the substitution method. 7x+8y=10 -3x+y=9
Answer:
Point form: (-2,3)
Equation form: x= -2, y=3
Step-by-step explanation:
Hope it helps!
what’s the slope for this lines i need help please
Answer:
where is it
Step-by-step explanation:
Ugh
Circle two addends first. Write the sum.
3+3+4=
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 8 if she rolls the two number cubes 252 times?
Answer:
Around 20
Step-by-step explanation:
because out of 36 you can get 6 five times. Then you divide. 252 by 36 and get four do you multiply 5 times 4
Answer:
20
Step-by-step explanation:
Please help me i need a good grade :>
How did the temperature change if:
At first it increased by 5% and the increased by 20%
**ACTUAL ANSWERS PLEASE**
Answer:
up 25%
Step-by-step explanation:
it went increased by 25% from the beginning point
9514 1404 393
Answer:
up 26%
Step-by-step explanation:
The first change multiplied the temperature by 1+5% = 1.05.
The second change multiplied that result by 1+20% = 1.20.
Then the end result was multiplication by ...
1.05 × 1.20 = 1.26 = 1 + 26%
The temperature increased by 26%.
26) John makes $12 per hour as a lifeguard and $8 per hour at the library.
This summer, he would like to make at least $500 working his two jobs.
Which graph represents the number of hours he must work at each job to
reach his goal?
What is 0.0078732 rounded down to the whole number?
Answer:
0
Step-by-step explanation:
A scale on a map shows that 1 inch: 8 miles. On the map, Kylie’s house is 2.5 inches from her grandma’s house. What is the actual distance between the two houses?
A. 10
B. 15
C. 20
D. 25
A rental car company charges drivers a flat fee to rent a car plus $0.25 for each mile they drive. If a driver pays
$100 and drives 160 miles, which equation can he use to find his total cost y in terms of the number of miles
driven x? SELECT ALL THAT APPLY
y = 25.2 + 100
y = .25x+ 140
y = .25x + 160
y - 100 = 25(x – 160)
0.25x + 100y = 160
25x – y = 14000
Answer: y-100= 0.25(x-160)
Step-by-step explanation:
Given: Charge per mile = $0.25
Total amount driver pays = $100
Number of miles he drove = 160 miles
Total cost = Flat fee + ( Number of miles he drove) (Charge per mile) ...(i)
i.e. 100= Flat fee + (160)(0.25)
⇒ Flat fee = 100 - (160)(0.25)
If y= total cost , x= number of miles, then
y= ( 100 - (160)(0.25))+ (x)(0.25) [Substitute value of flat fee in (i)]
⇒ y= 100 - (160)(0.25)+ (x)(0.25)
⇒ y-100= (x)(0.25)- (160)(0.25)
⇒ y-100= 0.25(x-160)
Hence, the required equation: y-100= 0.25(x-160)
The sum of three consecutive odd numbers is 81. Find the numbers.
Answer:
The 3 odd, consecutive numbers are 25, 27, and 29.
Step-by-step explanation:
When you add these 3 numbers you will get 81.
25 + 27 = 52
52 + 29 = 81
Therefore, 25 + 27 + 29 = 81
Hope this helps!!
Answer:three consecutive odd numbers are 25; 27; 29
suppose: the smallest number is x ( x > 0),(x ∈ N)
because 3 numbers are three consecutive odd numbers
=> The next 2 terms respectively are x + 2; x + 4
have: The sum of three consecutive odd numbers is 81
=> x + x + 2 + x+ 4 = 81
⇔ 3x + 6 = 81
⇔ 3x = 81 - 6
⇔ 3x = 75
⇔ x = 25
=> three consecutive odd numbers are 25; 27; 29
Step-by-step explanation:
wyatt opend a savings account 4 years ago. the account earns 4%interest compounded quarterly if the current balance is $1,000.00 how much did he deposit initially round your answer to the nearest cent
9514 1404 393
Answer:
$852.82
Step-by-step explanation:
Each quarter the account value is multiplied by 1+(4%/4) = 1.01. After t quarters, the account value is 1.01^t times its initial value.
This same relation works backward in time. For t = -16 quarters (4 years ago), the account value was ...
1000(1.01^-16) ≈ 852.82
Wyatt deposited $852.82.
A shirt at the store is being offered at a 10% discount. If the original price of the shirt is x, which answer
choice shows an expression that represents the discounted price of the shirt?
0.90x
X + 0.10x
1.10x
0.10x
Answer:
0.90x
By the way, I'm just answering people random questions. I'm not going to write the step by step but the answer.
Sorry :/
If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?
The percent increase is approximately 14%.
The percent increase is approximately 17%.
The percent increase is approximately 21%.
The percent increase is approximately 35%.
The correct answer would be C. The percent increase is approximately 21%
Answer:
the third answer, 21%
Step-by-step explanation:
the change was 15% and the original was 70 so,
15/70
=.21
.21*100=21%
I hope this helped and could I get brainliest?? :)
1. Evaluate the following numerical expressions. Problem Set a. 2+(-3) +7 b. )-4-1 d. -10 = 2 + 3 C. Ni 2x2 e. (8) + 2 f. 3+(-4)-1 2. Which expressions from Exercise 1 are equal?
Answer:
A equals 12
B equals 3
C equals 3+2+(-5)
E equals 4 NI
F equals -7+(-12)=19
Step-by-step explanation:
For A, you have to do the parenthesis first. I did 2+(-3) which equals -5. Then, I added the 7 to the five and got 12. The reason that it is not 12 is because the +7 is greater than the -5.
For B, I got -3 because -4 - (-1) equals 3. The reason that it is three is because when you look at the positive negative chart, you can see that negative and negative equal positive. So, the answer would be 3.
For E, I got 4 NI because when I multiplied the 2*2 I got 4 then you add the numerals Ni. I am not 100% on this problem, that is kind of my guess.
Finally for F, I got 19. My equation above explains it. Once again, you have to add the parenthesis first, so, -7+(-12) equals 19. Like I said above. If you look at the negative positive chart, the number would be positive because both numbers are negative.
I forgot C above, so here it is. For C, I got the equation above by putting the numbers together. For instance, in the problem on the side, for C, it says -10=3+2. If you just add 3+2, you are going to get 5. I added negative five to it and there you go, you get negative ten.
The first and second problems are equal because 3 goes into 12 equally.
Mariah is making goody bags for a party. She has 24 bottles of nail polish and 48 tatoos. What is the greatest number of goody bags she can make so that each bag has an equal amount of each item with nothing left over?
Help i'm in a hurry!!! first gets brainliest!!!!!!!!!!!!!!!!!!!
Help on the second one pls!
Answer:
THX FOR AWNSERING
Step-by-step explanation:
Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products.
Part A
Drag all of the partial products into the box that Zoe needs to solve the problem.
0.18
3
0.25
0.5
1.5
0.05
Part B
Solve the equation and then select the correct answer to complete the statement.
Zoe spent $
____
on apples
please put them in order on dragging.
Zoe spent "$5.25" on apples. A further solution is below.
As we know,
[tex]1 \ pound = 3.50[/tex]Now,
→ [tex]M = 3.50 P[/tex]
here,
M = MoneyP = Poundsthen,
By substituting the value, we get
→ [tex]M = 3.50\times 1.5[/tex]
→ [tex]= 5.25[/tex] ($)
Thus the above answer is correct.
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CLICK ON THISS!!!!!!!!
Answer:
I did itttttt:0
Step-by-step explanation:
Thanks for free points
3.5z - 2.7z = -6
z = ?
Answer:
i believe it would be z = -7.5
Step-by-step explanation:
Answer:
-7.5
Step-by-step explanation:
Subtract 2.7z from 3.5z
0.8z= -6
divide each term by 0.8 - 0.8 divided by 0.8- -6 divided by 0.8
Cancel the common factor of 0.8
divide -6 by 0.8
Z= -7.5
what is mix media art
Answer:
In visual art, mixed media is an artwork in which more than one medium or material has been employed. ... Mixed media art, a visual art, is distinguished from multimedia art which combines visual art with non-visual elements, such as recorded sound, literature, drama, dance, motion graphics, music, or interactivity.
Step-by-step explanation:
hope this helps u, sorry if it doesn't.
Answer:
mix media is an artwork in which more than one medium or material has been employed
0.25 divided by 2.65
Answer:
0.09433962264
Step-by-step explanation:
Write the point-slope form of the glven line that passes through the points (0,-3) and (4,1). Identity (x, y) as (0, -3).
Include your work in your final answer. Type your answer in the box provided to submit your solution.
If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? why?
Answer:
buy
Step-by-step explanation:
If a person wanted to buy their dream car and keep it for several years they would buy it since they wouldn't have to pay rent on the care even after they payed it off. If they were to lease they would have to pay rent for it.
If a person wanted to purchase their dream car, and keep it for many years, what they should is to: buy.
What is Leasing and buying?Leasing can be defined as an agreement in whereby the lessor or the owner give out his or her property to the lessee, in which the lessen is expected to payback the lessor periodical till the full payment is made.
While buying is simply to purchase a product in exchange for cash or money.
If a person wanted to purchase a car so as to keep it for many years, the best choice is to buy instead of leasing.
The reason why buying the car would be the better option is because the overall cost of buying the car would be lesser.
After paying for the car, the owner tend to gets much more value from the car.
Inconclusion the person should buy the car.
Learn more about buying or leasing here:https://brainly.com/question/13784493
Angles of elevation and Depression, please provide a explanation if possible,ty
Answer:
4,022.5 m
Step-by-step explanation:
When an observer watches an object lying on the ground from an elevated point on the ground then the angle formed between horizontal line and the line of vision is known as ANGLE OF DEPRESSION.
When an observer watches an object from a point on the ground situated at some height from the ground from the ground then the angle formed between horizontal line and the line of vision is known as ANGLE OF ELEVATION .
Let the distance of the rock from the airplane be x meters.
[tex] \sin \: 25 \degree = \frac{1700}{x} \\ \\ 0.4226182617 = \frac{1700}{x} \\ \\ x = \frac{1700}{0.4226182617} \\ \\ x = 4,022.54269 \\ \\ x = 4022.5 \: m[/tex]
What are the terms and like terms?
1. 3n + 7 - n - 3
Answer:
3n and -n
7 and -3
Step-by-step explanation:
What is the value of 2x+3y when x=5 and y=2 ?
Answer:
16
Step-by-step explanation:
2(5) + 3(2)=
2x5=10
3x2=6
10+6=16
The value of the expression 2x+3y, when x = 5 and y = 2 is 16.
What are substitution and numerical expression?Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, we have to find the value of the expression 2x+3y,
when x = 5 and y = 2.
To obtain the value of 2x+3y, when x = 5 and y = 2 we'll substitute 5 in place of x and 2 in place of y.
2x + 3y.
= 2(5) + 3(2).
= 10 + 6.
= 16.
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please help me out with this
Answer:
its easy...are u in 5th
Step-by-step explanation: