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koban [17]
2 years ago
5

A​ cone-shaped vase has height 29 cm and radius 7 cm. An artist wants to fill the vase with colored sand. The sand comes in smal

l​ packages, each of which is a cube with side length 2 cm. At most how many packages of sand can the artist use without making the vase​ overflow? Use 3.14 for pi.
The artist can use at most
nothing packages without making the vase overflow.
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
5 0

Answer:

52

Step-by-step explanation:

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What is the radius and diameter of the following circle?
belka [17]

Answer:

Radius = 5.1

Diameter = 10.2

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes from the center to the outside of the circle, so it is the radius

6 0
3 years ago
What is the answer to -5x+5y=-10 and 3x-3y=5 using substitution
IceJOKER [234]

Answer:

for the 1st one the answer is x= 3 y=1 and the second one is x= 5 and y = 3 and 1/3

Step-by-step explanation: so basically for the first one -5 times x which is 3 is -15 right? and then 5 times y which is 1 is 5 right so -15 plus 5 = -10

second one is x = 5 and y = 3 and 1/3 because 5*x which is 5 is = to 15 right? and then 3 times y which is equal to 3 and 1/3 is equal to 10 which when you do 15-10 in pretty sure it equals 5 correct me if im wrong

Hope this helps xD ;)

7 0
3 years ago
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
3 years ago
Which graph shows a proportional relationship?
Verdich [7]
Answer: The only graph that shows a proportional relationship is the line that crosses the origin point (0,0).

Explanation

The other graphs are linear functions but not not proportional relationships.

The general form of a proportional relationship is y = kx, where k is the proportionality constant. So, for x = 0 you will always obtain y = 0.

The general form of a linear relationshio is y = kx + b, being b the y-intercept, so if the y-intercept is not 0, it is not a proportional relationship. That is what happens with the other three graphs.
6 0
3 years ago
Read 2 more answers
A package of 5 pairs of insulated socks costs $36.95. What is the unit price of the pairs of socks
Sergeeva-Olga [200]

Hey there! :)

Answer:

$7.39 per pair of socks.

Step-by-step explanation:

Find the price per pair of socks by dividing the total price by the number of socks:

36.95 ÷ 5 = $7.39 per pair of socks.

3 0
3 years ago
Read 2 more answers
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