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3 years ago

If you are finding the space that a 2-dimensional object occupies, are you finding area or volume?

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

8 0

If you’re finding the space that a 2- dimensional object occupies, you are finding the area.
A. Area

kotykmax [81]3 years ago

6 0

You’re finding the area

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John has two jobs. For daytime work at a jewelry store he is paid

djyliett [7]

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ = $2,000

Answer:

$P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%$

The probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the probability that John's commission from the jewelry store is between $9,000 and $11,000?

$P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\$

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

$P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%$

Therefore, the probability that John's commission from the jewelry store is between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

4 0

3 years ago

A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability

Anika [276]

Answers:

Red = 1/3
Yellow = 7/15
Blue = 1/5

====================================================

Explanation:

Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.

Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5

4 0

2 years ago

⅘ of a packet of sweets are fizzy. If there are 40 sweets in the packet, how many are fizzy sweets?

Colt1911 [192]

Answer:

32 fizzies

Step-by-step explanation:

4/5 = .8

.8 x 40 = 32

- I found that 80% of 40 is 32 therefore 32 fizzies are in the packet of sweets.

- Hope this helps! If you need a further explanation please let me know.

4 0

3 years ago

Select the THREE equations that this diagram could represent.

Vladimir [108]

Question

Select the three equations that this diagram could represent.

Answer

Well, we first have to find out what the diagram says.

So what the diagram says is that 18 + 18 + 18 = 54.

Given this information, we have to figure what other answers = 54.

Therefore the answers are

(A) 18 * 3 = 54.

(D) 54/18 = 3

(E) 54/3 =18

6 0

3 years ago

Please help with this.........

lyudmila [28]

Answer:

Step-by-step explanation:

Use the formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have the points P(-2a, 0) and Q(0, 2b). Substitute:

$x=\dfrac{-2a+0}{2}=\dfrac{-2a}{2}=-a\\\\y=\dfrac{0+2b}{2}=\dfrac{2b}{2}=b$

3 0

3 years ago