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Musya8 [376]
3 years ago
5

The shelf is 4 feet wide and 2/3 feet deep. what is the area of the shelf?

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

Area of the self will be =4\times \frac{2}{3}=\frac{8}{3}=2.666ft^2

Step-by-step explanation:

We have given that self is 4 feet wide and \frac{2}{3} feet deep

So length pf the shelf l = \frac{2}{3} feet

And width = 4 feet

We have to find the area of the self

We know that area is given by

Area = length × width

So area of the self will be =4\times \frac{2}{3}=\frac{8}{3}=2.666ft^2

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You deposit $600 in a savings account. the account earn 4% simple interest per year.
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Answer:

use some memes juice

Step-by-step explanation:

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8 0
3 years ago
"An ordinance requiring that a smoke detector be installed in all previously constructed houses has been in effect in a particul
Galina-37 [17]

Answer:

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15) = 0.0173

b) Probability of not rejecting the claim when p = 0.7, P(X > 15) = 0.8106

when p = 0.6, P(X > 15) = 0.4246

c) Check Explanation

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Step-by-step explanation:

p is the true proportion of houses with smoke detectors and p = 0.80

The claim that 80% of houses have smoke detectors is rejected if in a sample of 25 houses, not more than 15 houses have smoke detectors.

If X is the number of homes with detectors among the 25 sampled

a) Probability that the claim is rejected when the actual value of p is 0.8 = P(X ≤ 15)

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials (probability that each house has a detector is 0.80)

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure (we are sampling 25 houses with each of them either having or not having a detector)

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = less than or equal to 15

p = probability of success = probability that a house has smoke detectors = 0.80

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.80 = 0.20

P(X ≤ 15) = Sum of probabilities from P(X = 0) to P(X = 15) = 0.01733186954 = 0.01733

b) Probability of not rejecting the claim when p= 0.7 when p= 0.6

For us not to reject the claim, we need more than 15 houses with detectors, hence, th is probability = P(X > 15), but p = 0.7 and 0.6 respectively for this question.

n = total number of sample spaces = 25 houses sampled

x = Number of successes required = more than 15

p = probability that a house has smoke detectors = 0.70, then 0.60

q = probability of failure = probability that a house does NOT have smoke detectors = 1 - p = 1 - 0.70 = 0.30

And 1 - 0.60 = 0.40

P(X > 15) = sum of probabilities from P(X = 15) to P(X = 25)

When p = 0.70, P(X > 15) = 0.8105639765 = 0.8106

When p = 0.60, P(X > 15) = 0.42461701767 = 0.4246

c) How do the "error probabilities" of parts (a) and (b) change if the value 15 in the decision rule is replaced by 14.

The error probabilities include the probability of the claim being false.

When X = 15

(Error probability when p = 0.80) = 0.0173

when p = 0.70, error probability = P(X ≤ 15) = 1 - P(X > 15) = 1 - 0.8106 = 0.1894

when p = 0.60, error probability = 1 - 0.4246 = 0.5754

When X = 14

(Error probability when p = 0.80) = P(X ≤ 14) = 0.00555

when p = 0.70, error probability = P(X ≤ 14) = 0.0978

when p = 0.60, error probability = P(X ≤ 14) = 0.4142

The error probabilities are evidently lower when 15 is replaced with 14 in the calculations.

Hope this Helps!!!

6 0
3 years ago
What is the volume of the composite figure. I said 36 but it is wrong.
scZoUnD [109]

Answer:

108

Step-by-step explanation:

You are correct for stating one tissue box has a volume for 36.

But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.

36+36+36=108

6 0
3 years ago
Read 2 more answers
Find the number whose arithmetic square root is 0.6
slavikrds [6]

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

5 0
3 years ago
A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat
Licemer1 [7]

<u>Answer:</u>

The number of each type of tube does the group rent is 11 tubes for person and 4 “cooler” tubes to carry food and water  

<u>Explanation:</u>

The rents for tubes for a person to use = $20

The rents for “cooler” tubes to carry food and water = $12.50.

The rent for a total of 15 tubes = $270

11 tubes whose rent cost  $20 =11 \times 20

                                                   = 220

4 “cooler” tubes rent cost  $12.50 =4 \times 12.5

                                                   = 50

Therefore for 15 tubes = 11 +4= 15

                            cost = 220 + 50

                                    =270                                                  

The number of each type of tube does the group rent is 11 tubes for person and 4 “cooler” tubes to carry food and water  

8 0
3 years ago
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