Answer:
15.1 yd
Step-by-step explanation:
Since the circumference formula is C = πd, d = C/π
and in this case d = (47.5 yd) / 3.14 = 15.1 yd
The approximate diameter of the pad is 15.1 yd.
The approximate diameter of the helicopter pad is,
⇒ d = 15.12 yards
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A helicopter pad has a circumference of 47.5 yards.
Now,
We know that;
Circumference of circle = 2πr
Hence, We get;
⇒ 47.5 = 2 × 3.14 × r
⇒ 47.5 = 6.28r
⇒ r = 47.5 / 6.28
⇒ r = 7.56
Thus, the approximate diameter of the helicopter pad is,
⇒ d = 2r
⇒ d = 2 × 17.56
⇒ d = 15.12 yards
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A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50 and so on. The player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. If 100 players are randomly selected, what is the approximate probability that the average time these players will get to solve the puzzle is between 44 and 56 seconds
Answer:
P( 44 < X < 56 ) = 0.12
Step-by-step explanation:
Number of seconds one gets to solve the puzzle ( X )
E( X ) = 100 + 0 ) / 2 = 50
Var ( X ) = 833.3333
бx = √833.3333 = 28.868
Determine The approximate probability
P( 44 < X < 56 ) = Δ time given / number of players selected
P( 44 < X < 56 ) = (56 - 44) / 100
= 12 / 100 = 0.12
Please answer correctly. I will give brainliest.
A packing operator can assemble 4 cardboard boxes in 5 minutes. At this rate, how many boxes can she assemble in 25 minutes?
A.
12
B.
24
C.
20
D.
28
Answer:
C=20
Step-by-step explanation:
1. 25÷5=5
2. 5×4=20
I hope this helped☺
geometric sequence
plz help me
thank you
Answer:thats your answer
Step-by-step explanation:
Determine the greatest common factor of the following numbers 8 and 12
NO LINKS PLEASE!!!!
5 books cost 20 work out the cost of 9 books
9 books cost 32
Step-by-step explanation:
5 books =20
1 book= 5÷20 = 4
9 books = 4×9 = 32
Answer:
36
Step-by-step explanation:
5books=20
9books=??
9×20=180
180÷5=36
Assignment: Ratio and Proportion: Molten Lava Cake
You will apply ratios and proportions to help you convert a recipe to serve more people. Use the recipe to solve the problems. The problem is your recipe only serves 8 people. Start by using the information to make 1 serving per person. Use proportions to increase the recipe to serve 30 people.
Molten Lava Cake Recipe:
1 c of sugar
6 squares of bittersweet chocolate
2 squares semisweet chocolate
1 1/4 stick butter
1/2 cup all-purpose flour
1 1/2 cups confectioners’ sugar
3 large eggs
4 egg yolks
1 tsp vanilla extract
2 1/2 tablespoons orange liqueur
Use proportions to increase the recipe to serve 30 people (1 serving per person).
Complete the table to include:
Ratio for one serving (use the table to assist you).
(i.e. If the recipe uses 1 cup of sugar, and the recipe serves 8, the ratio for one serving equals 1/8 cup sugar) thus the answer would be 1/8
Proportions used to increase recipe to 30 servings.
(i.e. for the sugar 1/(8 servings) = x/(30 servings)) thus the answer is 1/8 = x/30
Show the work to solve the proportion. Round your measurement to the nearest half. (i.e. 3.222 teaspoons rounds to 3 teaspoons, 3.666 teaspoons rounds to 3½ teaspoons, 3.89 teaspoons round to 4 teaspoons), thus the answer is 4
Scaled Recipe – Ingredient and new amount needed for 30 servings. Show the exact answer or the rounded measurement, thus the answer is 4.687 or 4 1/2
Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.
The recipe for 30 people would be as follows:
4 c of sugar22 ¹/2 squares of bittersweet chocolate7 ¹/2 squares semisweet chocolate4 ¹/2 stick butter2 cup all-purpose flour5 ¹/2cups confectioners’ sugar11 ¹/2 large eggs15 egg yolks4 tsp vanilla extract9 ¹/2 tablespoons orange liqueur.The recipe in the question above only serves 8 persons.
However, we are required to convert the recipe into one that serves 30 persons.
To do that, it is important to first convert the recipe into one that serves one(1) person.
If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.
The results are as follows:
1/8 c of sugar6/8 = 3/4 squares of bittersweet chocolate2/8 = 1/4 squares semisweet chocolate(1 1/4)/8 = 5/32 stick butter(1/2)/8 = 1/16 cup all-purpose flour(1 1/2)/8 = 3/16 cups confectioners’ sugar3/8 large eggs4/8 = 1/2 egg yolks1/8 tsp vanilla extract(2 1/2)/8 = 5/16 tablespoons orange liqueur.The new recipe above is for serving 1 person Molten lava cake.
Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.
The results are as follows:
(1/8) × 30 = 3.75 c of sugar(3/4) × 30 = 22.5 squares of bittersweet chocolate(1/4)×30 = 7.5 squares semisweet chocolate(5/32) × 30 = 4.6875 stick butter(1/16) ×30= 1.875 cup all-purpose flour(3/16) ×30 = 5.625 cups confectioners’ sugar(3/8)×30 = 11.25 large eggs(1/2) ×30 = 15 egg yolks(1/8) ×30 = 3.75 tsp vanilla extract(5/16) ×30 = 9.375 tablespoons orange liqueur.However, the question requires that the quantities be rounded off to the nearest half.
therefore we have,
4 c of sugar
22 ¹/2 squares of bittersweet chocolate
7 ¹/2 squares semisweet chocolate
4 ¹/2 stick butter
2 cup all-purpose flour
5 ¹/2cups confectioners’ sugar
11 ¹/2 large eggs
15 egg yolks
4 tsp vanilla extract
9 ¹/2 tablespoons orange liqueur.
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A. Factor the polynomial expression –16(x2 – 3x – 4).
Answer: Hmmmmmm
Explanation
verify the following -12/5 + 2/7 = 2/7 + -12/5
Answer:
yeah they are the same
Step-by-step explanation:
-2.11428571429
Step-by-step explanation:
By using the commutative property, regardless of how the numbers are listed using addition or multiplicaton, they will equal the same thing.
So, a+b=b+a, which is what is present for your question.
What fraction is equivalent to half
Answer:
1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)
In this figure please see attached
Answer:
Step-by-step explanation:
Formula
t = 1.06 * p
Givens
p = 8.5
Solution
t = 1.06 * 8.5
t = 9.01
-(x - 13) = 10(x + 9)
evaluate the following polynomial when x = - 3
+6x² – 3x+5
2x
Answer:
-93
Step-by-step explanation:
Substitute by - 3 instead of X
6 cm
To the nearest cubic centimeter, what is the volume of the regular
hexagonal prism?
17 cm
5.2 cm
The volume of the regular hexagonal prism is about cm3.
Answer:
1,590.02
just round it to the nearest centimeter
Step-by-step explanation:
find the measure of angle x in each of the following figure
Answer:
x = 114
Step-by-step explanation:
180 - 66 = x
x = 114
Have a nice day!
The National Park Service is interested in comparing the amount of money that visitors in two different national parks spend. They sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a _______ design.Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.Your answer:
Answer:
Analysis for these data will be based on a __survey__ design.
Step-by-step explanation:
A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest. In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend. Visitors are sampled from each park to get the required information. The mean spends are calculated and then compared.
After eating dinner at a restaurant, your bill before tax and tip was $72.50. The sales tax rate is 8% and you decide to leave a 20% tip based on the bill after tax was added. What is the total cost of the dinner?
Answer:
77.40
Step-by-step explanation:
The 5th grade is going on a trip. There are 285 students in the grade. Buses hold 30 passengers. How many buses are needed for the entire fifth grade to go on their trip?
Answer:
10 busses
Step-by-step explanation:
285÷30=9.5
9.5 would round up to 10
tell me all the questions of this
Answer:
To find the radius..just divide them by two
For the diameter multiply by two
Circumference formula is
[tex]2\pi \: r[/tex]
true or false!!!!!!! Good luck!
ceva's theorem can alway be used to determine wether or not medians of a triangle are concurrent.
ceva's theorem can always be used to determine whether or not altitudes of a triangle are concurrent.
in lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
in riemannian geometry, the sum of the angles of a triangle is less than 180 degrees
in lobachevskian geometry, the summit angles of a saccheri quadrilateral are obtuse
in riemannian geometry, the summit angles of a saccheri quadrilateral are obtuse
in euclidian geometry, the summit angles of a saccheri quadrilateral are obtuse
in a circle, if an inscribed angle and a central angle intercept the same arc, which symbol (<,>,=) correctly completes this mathematical sentence?
3. True
4. False
5. False
6. True
7. False
I dont know numbers 1, 2, or 8.
The statement 4,5 and 7 are false and the statements 3 and 6.
We have given that,
Ceva's theorem can always be used to determine whether or not medians of a triangle are concurrent.
Ceva's theorem can always be used to determine whether or not the altitudes of a triangle are concurrent.
In Lobachevskian geometry, the sum of the angles of a triangle is less than 180 degrees
In Riemannian geometry, the sum of the angles of a triangle is less than 180 degrees.
In Lobachevskian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In Riemannian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In euclidian geometry, the summit angles of a Saccheri quadrilateral are obtuse
In a circle, if an inscribed angle and a central angle intercept the same arc,
We have to determine the statement true or false.
What is Riemannian geometry?A Riemannian manifold or Riemannian space, so-called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product gI on the tangent space TIM at each point p.
Therefore, The statement 4,5, and 7 are false, and the statements 3 and 6.
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Given the trapezoid PQRS …. Please i need help ASAP.
Simplify (- -)--).
- | D)
21
32
© 21
|
32
Answer:
(- -)--).- | D)2132© 21|32 is not an equation i'm pretty sure
Step-by-step explanation:
I really need help. Pweez?
Answer:
37
Step-by-step explanation:
top triangels 3 x4 = 12
Side triangels 1 x 5 = 5
the squer 4x 5 = 20
20 +5 +12= 37
Answer:
Step-by-step explanation:
20 inches i think
Question 5 Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8)
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% of adults:
Within 1 standard deviation of the mean. So
7.5 - 1.3 = 6.2 hours
7.5 + 1.3 = 8.8 hours.
So the answer is (6.2, 8.8).
Arnold has 4 pitchers. Each pitcher holds [tex]\frac{7}{8}[/tex] gallon of juice. Which equation can Arnold use to determine the number of gallons of juice in the pitchers?
Answer:
4 * 7/8
Step-by-step explanation:
It's asking to multiply.
A bag contains only red marbles and blue marbles.
• The number of red marbles in the bag can be represented by x.
• The number of blue marbles is 12 more than 3 times the number of red marbles.
• There are a total of 48 marbles in the bag.
What is x, the number of red marbles in the bag?
Answer:
12 red marbles in the bag
5 Find 6 in Surface Area
Answer:
8 x 6 = 48
48 divided by 2 = 24
24 x 2 = 48
10 x 12 = 120
120 x 2 = 240
8 x 12 = 96
Add all given areas:
48 + 96 + 240 = 384 in2 is your answer.
Decide whether the relation is a function
Step-by-step explanation:
im not sure but,
i think its a Functionhope it helps.Answer:
function is the correct answer in my opinion hope it's helps you
no links please
The elevator in the newest skyscraper downtown goes from the top floor down to the lowest level of the underground parking garage. If the building is 380 feet tall and the elevator descends 420 feet from top to bottom, how far underground does the parking garage go?
A.
40 feet
B.
790 feet
C.
30 feet
D.
800 feet
Approximate the solutions to this system. y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
Jacinta has 2 blue marbles , 4 red marbles and 5 green marbles in a bag, all the marbles are the same size, she will select one marbles from the marble from the bag without looking what is the possibility that Jacinta will choose the green marble
Jacinta has 2 blue marbles , 4 red marbles and 5 green marbles in a bag, all the marbles are the same size, she will select one marbles from the marble from the bag without looking what is the possibility that Jacinta will choose the green marble
The possibility that Jacinta will choose the green marble is 45.5%
What is probability?Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
Given that, Jacinta has 2 blue marbles, 4 red marbles and 5 green marbles in a bag, all the marbles are the same size,
We need to find the possibility that Jacinta will choose the green marble,
So, here we will use the concept of probability, probability tell us the chances of happening of an event.
The formula =
Probability = favorable outcomes / total outcomes.
Here, the favorable outcomes = green marble (5)
The total outcomes = total number of marbles = 5+4+2 = 11
So, P(getting the green marble) = 5/11 = 0.454545 = 45.5%
Hence, the possibility that Jacinta will choose the green marble is 45.5%
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