Answer:
100 cubic cm
Step-by-step explanation:
The volume of a cone can be represented by the formula . Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:
HOPE THIS HELPED! :)
To form teams, divide the total number of players by the number of players per team. In this case, 36 teams are needed.
To find out how many teams will be formed, we divide the total number of players by the number of players assigned to a team. In this case, there are 432 players and 12 players per team. So, we divide 432 by 12:
Number of teams = 432 ÷ 12 = 36 teams
Therefore, the league will need to form 36 teams to accommodate all the players.
#SPJ2
Answer: There would be 9 possibilities.
Step-by-step explanation:
Given : The number of regions in the spinner = 3
if we spin the spinner twice, then by using fundamental principal of counting , the number of possibilities is given by :-
Therefore, there would be 9 possibilities.
Answer:
A) 0 , B) 0.0199 , C) 200
Step-by-step explanation:
Let X denotes no. of computers fail on day
X ~ Bin (n = 4 , p = 0.05)
A] P (X = x) = (n c x) p^x q^n-x
P (X = 4) = (4 c 4) (0.005)^4 (0.995)^0
(0.05)^4 ~ 0
B] P (X > 1) = 1 - P (X < 1) = 1 - P (X = 0)
1 - { ( 4 c 0) (0.005)^0 (0.995)^ 4 }
1 - (0.995)^ 4 ~ 0.0199
C] Let Y depict mean number of days until a specific computer fails
Y ~ Geom (p = 0.005)
Mean = E (Y) = 1/p = 1/0.05 = 200
(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?
Answer:
a) Nothing, beause the distribution of the monthly rental prices are not normal.
b) 1.43% probability that the sample mean rent price will be greater than $900
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
(a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?
Nothing, beause the distribution of the monthly rental prices are not normal.
(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?
Now we can apply the Central Limit Theorem.
This probability is 1 subtracted by the pvalue of Z when X = 900.
By the Central Limit Theorem
has a pvalue of 0.9857
1 - 0.9857 = 0.0143
1.43% probability that the sample mean rent price will be greater than $900
Lateral Area
The lateral area is the area of the sides of the prism. If the faces are perpendicular to the bases, then each face is a rectangle. The area of each rectangle is the product of its length and width, generally the product of the height of the prism and the length of one edge of the base.
The total lateral area will then be the product of the height of the prism and the perimeter of the base.
Total Area
The total area is the sum of the lateral area (computed as above) and the area of the two bases of the prism. The formula for that area depends on the shape of the prism. (You have already seen formulas for the areas of triangles, rectangles, and other plane shapes. If not, they are readily available in your text or using a web search.)
Answer: 502.65
Step-by-step explanation: A= 2πrh + 2πr^ this is the formula for solving the surface area so now you must substitute
2·π·5·11+2·π·5^
6.28 · 55 + 2 π · 25
add and you will get 502.65 hope this helps mark me brainliest if it did