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aleksklad [387]
3 years ago
10

Ice cream cone will hold a scoop of ice cream in shape of a sphere. Scoop of ice cream has a radius of 1.25 inches. How tall sho

uld the cone be in order to have the cone exactly hold the volume of the scoop of ice cream once it melts?

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
Attached the solution and step by step work.

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LabTech is a company that manufactures microscopes and other laboratory instruments . On occasion, one of the microscopes is def
Scrat [10]

Answer:

0.0782 (7.82%)

Step-by-step explanation:

The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.

The PMF (Probability Mass Function) is

f(k,n,p)=\binom{n}{k}p^kq^{n-k}

Where q = 1-p

LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50

5 0
3 years ago
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like mode l with a base area of 100 square centimeters
olga55 [171]

Answer:

\frac{3}{2} g/cm²

Step-by-step explanation:

First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3

B = 100 cm²

h = 6 cm

V = 100 cm² * 6 cm /3

V = 600 cm³ /3

V = 200 cm³

Next, we need to solve for the density based on the desired volume and mass.

m = mass = 300 g

V = volume

density = m/V

density = 300 g / 200 cm³

density = 3/2 g/cm³

The lowest possible density of the material to make the paperweight would be \frac{3}{2} g/cm²

4 0
2 years ago
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
stealth61 [152]

Answer:

-1

Step-by-step explanation:

We can use the slope formula when given two points

m= ( y2-y1)/(x2-x1)

   = ( 3-7)/(2 - -2)

   = (3-7)/( 2+2)

   = -4/4

    = -1

6 0
2 years ago
Identify each number as prime or composite.Then list all of it's factors
azamat
Prime numbers : 3, 29
Factors of 3 : 1, 3
Factors of 29 : 1, 29
Composite numbers : 6, 15, 24
Factors of 6 : 1, 2, 3 , 6
Factors of 15 : 1, 3 , 5, 15
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
3 0
3 years ago
What is the remainder when the polynomial 8x2 4x−3 is divided by 2x−1?.
stiks02 [169]
Whaaaaaaaaaaaaaaaaaaat
3 0
2 years ago
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