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snow_tiger [21]
4 years ago
6

The local high school is hosting an ice cream social for new students. They record the ice cream choices of the students through

out the event. What is the probability that a male student chooses chocolate ice cream? A. 6/23 B. 4/7 C. 3/7 D. 3/22

Mathematics
2 answers:
UkoKoshka [18]4 years ago
7 0
3/7 is the correct answer

melomori [17]4 years ago
5 0

Answer:

Option C is correct

\frac{3}{7}

Step-by-step explanation:

By definition of probability:

\text{Probability} = \frac{\text{Number of possible outcomes}}{\text{Total number of outcomes}}

As per the given statement:

The local high school is hosting an ice cream social for new students.

They record the ice cream choices of the students throughout the event.

We have to find the probability that a male student chooses vanilla ice cream.

Total number of vanilla ice cream = 14

Number of  male student chooses vanilla ice cream = 6

then;

By definition we have;

\text{Probability that a male student chooses vanilla ice cream} = \frac{6}{14} = \frac{3}{7}

Therefore, \frac{3}{7} is the probability that a male student chooses vanilla ice cream

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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
Can someone help me find the diameter? <br><br> also what is a diameter even?
lukranit [14]

Answer:

24

Step-by-step explanation:

area of circle = πr²

πr² = 144π

Cancel out π

r² = 144

r = √144

r = 12

diameter = 2 x radius

diameter = 2 x 12

diameter = 24m

* diameter is the "width of a circle", the distance from the widest points of the circle

3 0
2 years ago
Solve:​ z5 + 3 = −35
Fudgin [204]

Answer:

z= - 5 √ 38

Step-by-step explanation:

take the root of both sides

or

you can factor each set and make them equal to zero

8 0
4 years ago
7x – 4 and 6x – 4 – x are equivalent using the interactive tool.
ss7ja [257]
7X-4=6X-4-X
7X-6X+X=0
2X=0
X=0
5 0
3 years ago
Read 2 more answers
The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height.
emmainna [20.7K]

Answer:

8.20in³

Step-by-step explanation:

Given V = πr²h

r is the radius = 1.5in

h is the height = 6in

thickness of wall of the cylinder dr = 0.04in

top and bottom thickness dh 0.07in+0.07in = 0.14in

To compute the volume, we will find the value of dV

dV = dV/dr • dr + dV/dh • dh

dV/dr = 2πrh

dV/dh = πr²

dV = 2πrh dr + πr² dh

Substituting the values into the formula

dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14

dV = 2π (0.36)+π(1.89)

dV = 0.72π+1.89π

dV = 2.61π

dV = 2.61(3.14)

dV = 8.1954in³

Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)

7 0
3 years ago
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