At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.
a
50.2 feet
b
56.5 feet
c
100.5 feet
d
113.0 feet
The length of the metal frame that surrounds the trampoline can be calculated by subtracting the diameter of the mat from the diameter of the metal frame and then multiplying by π.
The diameter of the mat is 16 feet and the diameter of the metal frame is 18 feet, so the difference is 18 - 16 = 2 feet.
The length of the metal frame can be calculated as follows:
Length = π * (difference in diameter) = 3.14 * 2 feet = 6.28 feet
So, the length of the metal frame is 6.28 feet, which is closest to option a, 50.2 feet. The answer is therefore a.
A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected,
find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight
correction?
The probability that no more than 1 of the 16 adults require eyesight correction is
(Round to three decimal places as needed.)
Answer:
P (X≤1) = 0.000
Step-by-step explanation:
Data given:
p = 79% = 0.79
q = 1 - 0.79 = 0.21
n = 16
P (no more than 1 in 16 adults) = P (X≤1)
P (X≤1) = P (X=0) + P (X=1)
We can find the probability by using binomial functions:
\(P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}\)
P(X=0):P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶
Use calculator to solve:
P(X=0) = 0.000000000798
P(X=1):P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵
Use calculator to solve:
P(X=1) = 0.000000034506
P(X≤1)P (X≤1) = P (X=0) + P (X=1)
P (X≤1) = 0.000000000798 + 0.000000034506
P (X≤1) = 0.00000003530
P (X≤1) = 0.000
As 1 is a very low number, its probability is very small
Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y You must show all of your work to receive credit.
Answer:
53437.3639
Step-by-step explanation:
23y5o9-023.36839637836386378673676763767678362
Eleanor and Max used two rectangular pecies of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 4 feet long and the other was 4 1/2 feet long. The two pecies of plywood had equal widths the total area of the stage was 53 1/8 square feet.
Answer:
The answer is 26 and 9/16
Step-by-step explanation:
You just have to divide it by 2.
Find the elapsed time
1:12 p.m. to 8:11 p.m.
A. 7 h 1 minute
B. 7 h 59 minutes
C. 6 h 59 minutes
What is the median of this data set?
Answer:
58
Step-by-step explanation:
It is the middle point/dot
in the box with the line
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
please help! i’m having a rough time on this, could someone answer this question?
Answer:
y= -18
a= -18
Step-by-step explanation:
2y+3 = 3(y+7)
2y+3=3y+21
-21 -21
2y-18=3y
-2y -2y
-18=y
Simplify 2x + 5(- 7x - 8) - 10
Describe what is being done in each step while solving the equation.
Answer:
1. Distributive property
2. Addition property of equality
3. Subtraction property of equality
4. Division property of equality
Could somebody explain this to me please?
\(\dfrac{5^{10}}{5^{12}}=5^{10-12}=\huge\boxed{5^{-2}}\\\\\\a^m:a^n=a^{m-n}\)
Answer:
your are correct
Step-by-step explanation:
i don't fell like geting brainlyest so the person who answer this question first can have it
What is 274 X 2832 pls help me
give me the answer of this
Answer: 775968
Step-by-step explanation: Your welcome
Math homework again, need help ASAP
Answer:
1) n = 3.5
2) x = 4
Step-by-step explanation:
4 + 3 = 7 divide by 5 = 7/2
Answer:
1)n=17.5 OR 17 1/2
2)n=32.5 OR 65/2
Step-by-step explanation:
1) n6=105
n= 17.5 OR 17 1/2
2. n/5=13/2
n=32.5 OR 65/2
PLEASE HELP! FINALSSSS!
Stanley won x raffle tickets at the school carnival. Regina won y raffle tickets. Daphne won image as many raffle tickets as Stanley. Keenan won 3 times as many raffle tickets as Regina.
Which expression represents the total number of raffle tickets Stanley, Regina, Daphne, and Keenan have all together?
A. x − 1/2x + y − 3y
B. 3y − y + x − 1/2x
C. x + y + 1/2x + 3y
D. 3y + y − x + 1/2x
Answer:
The answer is c it's the best answer
Simplify the expression.
6(x+4)+1
Answer:
6 times x would be 6x and 6 times 4 is 24. the one is added on so it would 6x + 25. hope this helped
The following sample space could represent which repeated experiment?
S: {BY, YB, BB, YY}
Flipping a fair coin once
Rolling a number cube twice
Spinning a spinner once with 2 equal sections colored blue and yellow
Spinning a spinner twice with 2 equal sections colored blue and yellow
Answer:
is D or last option
Spinning a spinner twice with 2 equal sections colored blue and yellow
Step-by-step explanation:
their is Y and B so 2 and 2 times 2 is 4 and theirs 4 probabilities
Is 32.7 + 15.6 = 32.6 + 15.7 compensation
Please answer quickly!
A man received 7 per cent interest on a loan of $200 for 1 year. How much interest did he receive?
This is making a tad confused, even though i'm sure its easy to solve.
im bought 2 packs of batteries from a store. The price of each pack was the same. After he bought the batteries, his account balance showed a change of −$23.94. What would have been the change to Jim's account balance had he only bought 1 pack of batteries from the store?
−$21.94
−$11.97
$11.97
$21.94
Answer:
b
Step-by-step explanation:
$-23.94 / 2 is -11.97
help me please first to answer will get brainiest
Answer:
Step-by-step explanation:
the study guide helps best
what is this please help or else
Answer:
8:45
Step-by-step explanation:
Banana Cupcakes
makes 10 cupcakes
1 cup granulated sugar
cup vegetable oil
1 large egg
4 tablespoons sour cream
2 medium-sized ripe bananas, mashed
1 cups all-purpose flour
1 teaspoon baking soda
teaspoon salt
1 teaspoon vanilla extract
pinch of nutmeg
You will use the recipe above to answer the following questions:
This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?
Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.
Step-by-step explanation:
I’ll mark you if you’re right:)
Answer: z=74 , x=6
Step-by-step explanation:
Z = 74
12x+34=180-74
12x=72
x= 6
Answer:
x=6
z=74
Step-by-step explanation:
z and 74 are vertical angles and vertical angles are equal
z = 74
74 and 12x+34 are supplementary angles since they form a line. Supplementary angles add to 180.
74+ 12x+34 = 180
Combine like terms
12x+108 = 180
Subtract 108 from each side
12x = 180-108
12x = 72
Divide by 12
12x/12 = 72/12
x =6
The Big Top tent at the traveling circus has a cylindrical wall that is 30 feet tall and has a diameter of 72 feet. A steel pole in the center holds up the conical tent on top.
If the slant height of the conical tent (from the peak of the steel pole to the top of the edge of the cylindrical wall) is 45 feet, what is the total height of the steel pole?
Answer:
It is given in the question,
Diameter of Cylinder(d)= 56 m
Radius of Cylinder(r) = 56/2 m = 28 m [Hence, Radius is the half of the Diameter].
Height of Cylindrical part = 6m
Now,
C.S.A of Cylinder = 2 x pi x r x h.
=> C.S.A = 2 x 22/7 x 28 x 6
=> C.S.A = 2 x 22 x 4 x 6
=> C.S.A = 1056 m^2
Again,
Cylinder is summounted by Cone.
So,
Radius of Cone = Radius of Cylinder = 28 m
Height of Cone = Total height of tent-Height of Cylinder = (27-6) m = 21 m
Now,
We are required to find out Slant Height of Cone, For which there is a Formula,
=> l^2 = r^2+h^2
=> l^2 = 28x28 + 21x21
=> l^2 = (784+441) m^2
=> l^2 = 1225 m^2
=> l = Root 1225 m^2
=> l = 35 m.
Now,
C.S.A of Cone = pi x r x l
=> C.S.A = 22/7 x 28 x 35
=> C.S.A = 22 x 4 x 35
=> C.S.A = 3080 m^2
Now,
Total Area covered by Canvas = C.S.A of Cylinder + C.S.A of Cone
=> Total area = (1056+3080) m^2
=> Total area = 4136 m^2
Be Brainly-er
Please help me out with this question....
Answer:
2(1/2-3/4)
Once you evaluate the expression, your answer should be -2.5.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
HELP, if u don't know the answer, don't answer!
Sarah is traveling at a constant speed of 25 mph and to represent the relationship between hours (h) and distance (d) she wrote the equation 25h=d . What would be the dependent variable?
25
h
d
25h
Answer:
The Answer is D. Number 3.
Step-by-step explanation:
To answer this question you'll need to know what a Dependent Variable is, by textbook definition, a Dependent Variable is a Variable (Variable such as Y, X) that is Dependent on the equation. In this case, D is dependent on 25 * H because 25 * H is what D equals. (A lot of times the Dependent Variable is what is on the = side of the equation.)
Hope this makes sense, best of luck <3
PLS HELP ASAP! WILL GIVE BRAINLIEST!!! Jason rode his bike in a sprint trial for 15 minutes and complicated a distance of 9 3/4 miles. In his second sprint trial he rode for 20 minutes and completed a distance of 12 2/3 miles.
What is the difference in his speed in miles per hour between the two sprint trials?
(A) The first trial was 3 miles per hour slower.
(B) The first trial was 3 miles per hour slower.
(C) The second trial was 1 mile per hour faster.
(D) The second trail was 1 mile per hour slower.