Answer:
$3.5
Step-by-step explanation:
12 - 5 = 7
24.5 / 7 = 3.5
The area of a circle is 25p ft 2 . What is the circumference of the circle? Explain.
Answer:
Circumference of circle = 31.42 ft.
Step-by-step explanation:
Given the following data;
Area of circle = 25π ft²
To find the circumference of the circle;
First of all, we would determine the value of its radius;
Area of circle =πr²
25π = πr²
r² = 25
Taking the square root of both sides, we have;
r = 5 ft.
Now, to find its circumference;
Circumference of circle = 2πr
Circumference of circle = 2π*5
Circumference of circle = 10π ft.
π = 3.142
10π = 10 * 3.142 = 31.42
Circumference of circle = 31.42 ft.
Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restaurant gift cards that each cost S40 and movie theater gift cards that each cost $25 He has $375 to buy a total of 12 gift cards. How many of each type of gift card can Mr. Smith buy?
Answer: He can buy 5 restaurant gift cards and 7 movie gift cards
Step-by-step explanation:
Does anyone know how to do this?
Answer: 53
Step-by-step explanation:
Hope this helps!
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
9
10
11
12
A rectangular garden is 16 ft
by 30 ft. Victoria wants to
build a fence along the
diagonal of the garden.
How long does the fence
need to be?
13
14
15
16
17
18
30
19
20
16
X
21
22
23
24
Answer:
rectangles opposite sides are equal.
the diagonal of rectangle is hypotenuse of the right angle triangle.
30²+16²=x²
900+256=x²
1156=x²
1156½=x²
34=x
so, the fence need to be 34ft
A recipe includes 2 cups of flour and 2/3 cups of buttermilk. Write the ratio of the amount of flour to the amount of buttermilk as a fraction in simplest form.
Your local bank offers free checking for accounts with a balance greater than $500. You currently have $357.18 in your account. How much do you need to deposit to avid the month service fee?
Answer: 142.82
Step-by-step explanation:
To be able to avoid the banking fees, you will need to deposit extra
500-357.18=142.82 in your bank account
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 if she rolls the two number cubes times?
According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.4 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Answer:
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.
This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]
These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Less than 24.6:
The proportion is the pvalue of Z when X = 24.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a pvalue of 0.2611
More than 28.8:
The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]
[tex]Z = 2.36[/tex]
[tex]Z = 2.36[/tex] has a pvalue of 0.9909
1 - 0.9909 = 0.0091
0.2611 + 0.0091 = 0.2702
0.2702*100% = 27.02%
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
SOMEONE PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
Answer:
for first one
√8²+4²=24
6²=36 not right angled triangle
so it is obtuse TRAINGLE
Step-by-step explanation:
for second one
it is acute TRAINGLE
Hey!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!
9514 1404 393
Answer:
A) JM = 30
B) x = 11
C) x = 18
Step-by-step explanation:
A) Chords the same distance from the circle center have the same length.
KL = 2×15 = 30 = JM
__
B) Tangents from the same point have the same length.
2x -14 = x -3
x = 11 . . . . . . . . . add 14-x to both sides
__
C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.
x² = 12(12 +15) = 324
x = √324
x = 18
How could we find the diameter of a circle with an area of 78.5 in.^ 2 ?? (3.14 is used for )
Answer:
I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please help me with this
can someone go over my work please?
Answer:
well I don't know how you learn this, but if the sign doesn't have a line underneath then its an open circle other than that great job!
Step-by-step explanation:
make 2,3,6,7 open circle if you can then they will all be right
above is a table that shows a proportional relationship. What value should replace the question mark?
Answer:
I think the answer might be 700.
Step-by-step explanation:
If you divide 1,750 and 5 it equals 350. Then I multiplied the 2 by 350. That got me 700. Hope this helps!
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly
guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places
Blank 1:
Answer:
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
8 questions on it
This means that [tex]n = 8[/tex]
4 choices.
One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]
What is the probability that the student gets fewer than 2 questions correct?
This is
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]
[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]
0.367 = 36.7% probability that the student gets fewer than 2 questions correct
Answer:
A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.
What is the probability that the student gets fewer than 2 questions correct?
Round to 3 decimal places.
0.367
Step-by-step explanation:
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!If the Diameter is 10 inches, what is the Radius? 2.5 inches 5 inches 10 inches 20 inches
Answer: Radius is always half of the diameter so the answer is 5
Step-by-step explanation:
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²What is the slope of the function?
Answer:
slope measures the rate of change in the dependent variable as the independent variable changes
Step-by-step explanation:
i don't know hope it helps a little
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
Answer:
10(7q + 6)
Step-by-step explanation:
Find the GCF of 70 and 60: 10Divide each number by 10 (steps shown below)70q ÷ 10 = 7q60 ÷ 10 = 6Re-write the expression with 10: 10(7q + 6)I hope this helps!
ABC = EDF. Determine the value of x.
Answer:
The correct answer here is A. x = 17.
How I found this out:
3x + 3 and 5x - 7 are going to be different solutions in the end.
I did the process of elimination.
First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.
I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.
Since they work out, I chose this as my correct answer to your question.
Step-by-step explanation:
Hope this helps! :)
I tried my best so I'm it's wrong.
Give me an explanation please
Answer:
The 3rd and 6th
Step-by-step explanation:
Make a system of equations, try to solve, and then see which statements apply.
let x be the cost of a DVD and y be the cost of a video game
Then you would have:
2x + y = 12
4x + 2y = 24
from turning the words into equations.
Now, solve:
first, multiply the first equation by 2
2x + y = 12 --> 4x + 2y = 24
Then, subtract the two equations:
4x + 2y = 24
- (4x + 2y = 24)
0 = 0
Since you have a number = a number, there are infinite solutions.
Go through the options they give you and see which ones are correct
o The system of linear equations that represents this situation has one solution
Not true, there are infinite
o The system of linear equations that represents the situation has no solution.
Not true
o The system of linear equations that represents the situation has infinitely many solutions.
True
o The DVD rentals cost more than video game rentals
Unknown, it could cost more but it can also cost less so this is not true
o The video rentals cost more than the DVD rentals
Unknown for the same reason
o You cannot determine the cost of video game rentals or DVDs.
True
Can you guys help with this?
Answer:
Step-by-step explanation:
four hundred twenty is 3/5 of what number
700 is the answer to your problem
Convert the units.
____ mL = 2L
Answer:
2000mL=2L
Step-by-step explanation:
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1
mile is 5280 feet.
Answer:
9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Step-by-step explanation:
Tara is selling a car that costs $12,000. She will make a commission of 10%. What will her
commission be?
Answer:
$1200
Step-by-step explanation:
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answer:
[tex]\frac{16}{152}[/tex]
[tex]\frac{15}{210}[/tex]
Step-by-step explanation: