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10 days ago

An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8.

1 answer:

4 0

The art instructor must purchase no fewer than 8 sets of 8 brushes. Each set contains 8 brushes, and since she requires AT LEAST 60, it is essential that she acquires at least that quantity, although more can be added. By buying 8 sets, she would end up with 64 brushes, giving her an excess of 4 brushes. Thus, securing 8 sets guarantees she meets the minimum requirement of 60 brushes.

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The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable

Zina [12379]

Answer:

(A) 0.15625

(B) 0.1875

(C) Cannot be determined

Step-by-step explanation:

The time it takes for a student to finish a statistics quiz is uniformly distributed between 32 and 64 minutes.

Let's denote X as the duration needed for the student to complete the statistics quiz

Thus, X ~ U(32, 64)

The probability density function (PDF) for a uniform distribution is expressed as;

f(X) = $\frac{1}{b-a}$ , a < X < b where a = 32 and b = 64

The cumulative distribution function (CDF) is given by P(X <= x) = $\frac{x-a}{b-a}$

(A) The probability of a student taking longer than 59 minutes to complete the quiz = P(X > 59)

P(X > 59) = 1 - P(X <= 59) = 1 - $\frac{x-a}{b-a}$ = 1 - $\frac{59-32}{64-32}$ = $1-\frac{27}{32}$ = 0.15625

(B) The probability that a student completes the quiz between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)

P(X <= 43) = $\frac{43-32}{64-32}$ = $\frac{11}{32}$ = 0.34375

P(X < 37) = $\frac{37-32}{64-32}$ = $\frac{5}{32}$ = 0.15625

P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875

= P(X = 44.74)

This probability cannot be calculated as it is a continuous distribution, which doesn't provide probabilities for specific points.

3 0

1 month ago

Quiz 3

AnnZ [12381]

Answer: observational study

Step-by-step explanation:

4 0

20 days ago

100 point!!!

Leona [12618]

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

100 g

Ginger: 20 g

Turmeric: 25 g

Coriander: 35 g

Cumin Seeds: 20 g

20+25+35+20=60+40=100

For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

Coriander: 2 1/3 g

Cumin Seeds: 1 1/3 g

Multiply the total by 27

For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

Cumin Seeds: 36 g

45 g for Turmeric

4 0

10 days ago

A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r

Svet_ta [12734]

<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>

6 0

1 month ago

There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders

PIT_PIT [12445]

Question is Incomplete; Complete question is given below;

A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.

Answer:

The equation that best represents the situation is $g+400-1800=1300$ .