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3 years ago

Miquel created the table below to show how he uses the money he earns at work

Mathematics

2 answers:

Natali [406]3 years ago

8 0

Answer:

D. $90.00

Step-by-step explanation:

lara [203]3 years ago

6 0

Complete Question with table is attached

Answer:

Miguel will save money of $90 if he earns $120.00

Step-by-step explanation:

The figure attached clearly shows the ratio of his earnings and savings. We have to find what would be the savings amount if he earn $120.00. So, first we have to calculate the percentage of ratio of his earnings and savings. As per the data given in the figure,

If he earns $10.00, he saves $7.50, calculate %amount he saves as below,

$\frac{\$ 7.50}{\$ 10.00} \times 100=0.075 \times 100=75 \%$

Likewise, calculate for all given data. If he earns $50.00 then he saves $37.50

$\frac{\$ 37.50}{\$ 50.00} \times 100=0.75 \times 100=75 \%$

If he earns $150.00 and save $112.50,

$\frac{\$ 112.50}{\$ 150.00} \times 100=0.75 \times 100=75 \%$

So, from all above, it clearly tells that Miguel saves 75% of amount from his earnings. Now, given earnings as $120.00. By finding 75% of $120.00, we can find his savings in that amount. So,

$\frac{75}{100} \times \$ 120=0.75 \times 120=\$ 90$

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2 years ago

The service department of a luxury car dealership conducted research on the amount of time its service technicians spend on each

mart [117]

Answer:

Probability that the mean service time is between 1 and 2 hours is 0.96764.

Step-by-step explanation:

We are given that a systematic random sample of 100 service appointments has been collected.

The 100 appointments showed an average preparation time of 90 minutes with a standard deviation of 140 minutes.

Let $\bar X$ = sample mean service time

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

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

where, $\mu$ = average preparation time = 90 minutes

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n = sample of appointments = 100

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.

Now, probability that the mean service time is between 60 and 120 minutes is given by = P(60 minutes < $\bar X$ < 120 minutes)

P(60 minutes < $\bar X$ < 120 minutes) = P( $\bar X$ < 120 min) - P( $\bar X$ $\leq$ 60 min)

P( $\bar X$ < 120 min) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{120-90}{\frac{140}{\sqrt{100} } }$ ) = P(Z < 2.14) = 0.98382

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Therefore, P(60 min < $\bar X$ < 120 min) = 0.98382 - 0.01618 = 0.96764

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3 years ago

Suppose that the scores on a reading ability test are normally distributed with a mean of and a standard deviation of . What pro

Gnoma [55]

Answer:

The proportion of individuals score at most 74 points on this test is 70%.

Step-by-step explanation:

The complete question is:

Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.

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Let X represent the scores on a reading ability test.

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3 years ago

2,631 dividido entre 24

Ivan

Answer:

2631 divided by 24 = 109.625

Step-by-step explanation:

The result of 2631/24 is a terminating decimal with 3 digits to the right of the decimal point.

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Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 2631 and 24, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 2631, and the denominator, e.g. 24, have been inserted.

SPANISH:

El resultado de 2631/24 es un decimal final con 3 dígitos a la derecha del punto decimal.

2631 dividido por 24 en decimal = 109,625

2631 dividido por 24 en fracción = 2631/24

2631 dividido por 24 en porcentaje = 10962,5%

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Los repetends, si los hay, se indican en ().

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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