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4 years ago

HELp ME WITH DIS QUESTIOJ PLZZZZ EMERGENCY

Mathematics

1 answer:

amid [387]4 years ago

8 0

Answer:

5 1/2 m^2

Step-by-step explanation:

Find the area of the garden including the trench. Find the area of the garden without the trench. Subtract the smaller area from the larger area.

I'll call the area of the garden with the trench Area 1 (A1). The area of the garden alone is Area 2 (A2).

Garden with the trench: 3 1/2 m by 3 m

Area 1: area = length * width

A1 = 3 1/2 m * 3 m

A1 = 7/2 m * 3 m

A1 = 21/2 m^2

A1 = 10 1/2 m^2

Garden without the trench: 2 1/2 m by 2 m

Area 2: area = length * width

A2 = 2 1/2 m * 2 m

A2 = 5/2 m * 2 m

A2 = 10/2 m^2

A2 = 5 m^2

The area of the trench is the difference in areas.

A1 - A2 =

= 10 1/2 m^2 - 5 m^2 = 5 1/2 m^2

Answer: 5 1/2 m^2

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If a single card is drawn from a standard 52-card deck, in how many ways can a card other than nine be obtained?

Novosadov [1.4K]

Answer:

48 ways

Step-by-step explanation:

There are 52 cards in a deck and four nines. This means that nines account for 4/52 of the deck. The opposite of 4/52 (idr the math word for that) is 48/52. Therefore, there are 48 other ways that a card other than nine can be obtained.

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3 years ago

When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____

pashok25 [27]

Answer:

Step-by-step explanation:

Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.

In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.

The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.

Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.

The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha

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3 years ago

The formula for area of a circle can be found by using a parallelogram explain the way to derive the formula

expeople1 [14]

Step-by-step explanation :

The base and height of the parallelogram describe the parts of the circle.
Let us consider B as base and H as the height of the parallelogram. Base b is equal to half of the circumference of the circle.
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Therefore, the formula to find the area of a circle is πr² square units.

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3 years ago

Read 2 more answers

Using excel, answer the following questions. Write down the Excel formulas used at each step.1. General Junkfoods has collected

tiny-mole [99]

Answer:

See explanation

Step-by-step explanation:

Required

The average weight produced

The question is incomplete, as the required cells are not given and there are other missing details.

However, I will give a general explanation of calculating average in Excel

The required formula is:

=AVERAGE(Cell Range)

Assume the cells that contain the boxes are: cells A10 to A10010

The average will be calculated as:

=AVERAGE(A10:A10010)

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3 years ago

Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service;

Aleksandr [31]

Answer:

The probability that all compressors are off = P(A ∩ B') = 0.18

Step-by-step explanation:

Event A is denoted to reciprocal compressor (R) that is always off.

Event B is denoted that at least one of the screw type of compressor is always on.

P(A) = Probability that the reciprocal compressor is off.

P(A') = Probability that the reciprocal compressor is on.

P(B) = Probability that at least one of the screw type of compressor is on.

P(B') = Probability that at least one of the screw type of compressor is off.

P(A ∩ B) = 45% = 0.45

P(A ∪ B) = 93% = 0.93

P(U) = P(A ∪ B) + P(A' ∩ B')

1 = 0.93 + P(A' ∩ B')

P(A' ∩ B') = 1 - 0.93 = 0.07

The probability that all compressors are off is given as P(A ∩ B')

P(A) = P(A n B') + P(A n B)

P(B) = P(A n B) + P(A' n B)

The question asks us to assume that all outcomes in event B are equally likely.

The possible outcomes in event B include

- The two compressors are on

- First compressor is on, second compressor is off

- Second compressor is on, first compressor is off

- both compressors are off

Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)

P(B) = P(A n B) + P(A' n B)

0.75 = 0.45 + P(A' n B)

P(A' n B) = 0.75 - 0.45 = 0.30

P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)

0.93 = P(A ∩ B') + 0.30 + 0.45

P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18

Hope this Helps!!!

4 0

4 years ago