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padilas [110]
2 years ago
8

A square room has a floor area of 64 square meters.The height of the room is 5 meters.what is the area of one wall?

Mathematics
1 answer:
ollegr [7]2 years ago
4 0

Answer:

40 square meters

Step-by-step explanation:

The area of the floor is 64 square meters. That means the square is 8 meters by 8 meters.  Each side of the floor is 8 meters.  Now a wall has an 8 meter side along the floor and a height of 5 meters.  Each wall is a rectangle 8 m x 5 m with an area of 8 x 5 = 40 square meters.

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12 - 5 = 7
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A population of values has a normal distribution with μ = 155.4 and σ = 49.5 . You intend to draw a random sample of size n = 24
xz_007 [3.2K]

Answer:

(a) The probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b) The probability that a sample mean is between 158.6 and 159.2 is 0.0411.

Step-by-step explanation:

Let the random variable <em>X</em> follow a Normal distribution with parameters <em>μ</em> = 155.4 and <em>σ</em> = 49.5.

(a)

Compute the probability that a single randomly selected value lies between 158.6 and 159.2 as follows:

P(158.6 < X

*Use a standard normal table.

Thus, the probability that a single randomly selected value lies between 158.6 and 159.2 is 0.004.

(b)

A sample of <em>n</em> = 246 is selected.

Compute the probability that a sample mean is between 158.6 and 159.2 as follows:

P(158.6 < \bar X

*Use a standard normal table.

Thus, the probability that a sample mean is between 158.6 and 159.2 is 0.0411.

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3 years ago
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If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Concl
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Answer:

All given information leads to conclusion described on statement. (QR = RS)

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) R is a point of segment QS and ii) R is the midpoint of QS. We proceed to perform the demonstration:

1) R\in QS, R is the midpoint of QS. Given.

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3) QR = RS Definition of segment/Result.

All given information leads to conclusion described on statement. (QR = RS)

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The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Sup
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Answer:

Approximately Normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

6 0
2 years ago
Here are three stories:
aev [14]

Answer:

1)

a) 6x+3 = 27

b) x=4

c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2)

a) 3x + 6 = 27

b) x= 7

c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3)

a) 27x + 3 = 6

b) x= 1/9

c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

Step-by-step explanation:

1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the  show.

a)  Decide which equation represents each story. What does x represent in each equation?

Let x be price of one ticket.

The equation will be: 6x+3 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

6x+3=27

6x=27-3

6x=24

x=24/6

x=4

So, we get x = 4

c. What does each solution tell you about its situation?

We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6  ounces left for himself.

a)  Decide which equation represents each story. What does x represent in each equation?

Let x be amount of juice poured.

The equation will be: 3x+6 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

3x+6=27

3x=27-6

3x=21

x=21/3

x=7

So, we get x = 7

c. What does each solution tell you about its situation?

We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6  ounces left for himself.

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Let x be time spend on each picture frame.

The equation will be: 27x+3=6

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

27x+3=6

27x=6-3

27x=3

x=3/27

x=1/9

So, we get x = 1/9

c. What does each solution tell you about its situation?

We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

8 0
3 years ago
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