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Mars2501 [29]
3 years ago
6

5. Brianna earns $19,500 per year. Lisa earns $1,000 per month. Write a numerical expression that represents how much more Brian

na earns per year than Lisa. *
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

19,500 - (1,000 x 12) = X

Brianna earns $ 7,500 more than Lisa per year.

Step-by-step explanation:

Given that Brianna earns $ 19,500 per year and Lisa earns $ 1,000 per month, to write a numerical expression that represents how much more Brianna earns per year than Lisa the following calculations and equations must be performed:

19,500 - (1,000 x 12) = X

19,500 - 12,000 = X

7,500 = X

Thus, Brianna earns $ 7,500 more than Lisa throughout the year.

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in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
What is the volume of the square pyramid round to the nearest thenth 10 cm 12 cm 12 cm
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a square based pyramid is expressed as

Volume = 1/3 × base area × height

Since the base is a square, all sides would be equal. The formula for finding the area of a square would be applied. From the information given, length of each side of the square is 12 cm. Therefore,

Base area = 12² = 144 cm²

Height = 10 cm

Therefore,

Volume = 1/3 × 144 × 10 = 480 cm³

3 0
3 years ago
Simplify completely
VashaNatasha [74]

Answer:

It's A : )

Step-by-step explanation:

7 0
2 years ago
Malcom has $638.54 in his checking account he must maintain a $500 balance to avoid a fee he wrote a check for $159.50 today wri
Elanso [62]

Answer:

$20.96

Step-by-step explanation:

He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.

638.54 - 159.50 + x >= 500

After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.

479.04 + x >= 500

He must add at least x amount of dollars to his account to avoid a fee.

x >= 20.96

In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.

6 0
3 years ago
Number 2 help idk what to do Id understand
horsena [70]
The correct answer is (9 in the ones place) because dividing by 10 is moving back one tens place
3 0
3 years ago
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