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vfiekz [6]
3 years ago
12

For the past three months Grace used her cell phone for 43 minutes 62 minutes and 57 minutes how many minutes would you have to

use her cell phone this month for the average usage over the four months to be 55 minutes
Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

Grace should use her phone for 58 minutes to maintain an average of 55 minutes.

Step-by-step explanation:

Usage of first month = 43 minutes

Second month = 62 minutes

Third Minutes = 57 minutes

Let, the usage of fourth month =  k minutes

Mean of the data = 5 minutes

Now, Average of a Data =  \frac{\textrm{Sumof observations}}{\textrm{Total number of observations}}

⇒55 = \frac{43 + 62 + 57 + k}{4}

or, 55  x 4 = 162 + k

⇒    220 - 162  = k

or, k = 58 minutes

So, Grace should use her phone for 58 minutes to maintain an average of 55 minutes.

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Sherry bought a sport utility vehicle. She received a discount of 18% off the manufacturer's list price but then had to pay 8% s
Kazeer [188]

Answer:

x = $20,000

the manufacturer's list price is $20,000

Step-by-step explanation:

Let x represent the manufacturer's list price.

And c the amount she finally paid

Given that;

She received a discount of 18% off the manufacturer's list price

= x - 18%x

= x - 0.18x

= 0.82x

then had to pay 8% state sales tax.

C = (0.82x) + 8% of (0.82x)

C = 0.82x + 0.08(0.82x)

C = 0.82x + 0.0656x

C = 0.8856x

Since she paid $17,712

C = $17,712

C = $17,712 = 0.8856x

0.8856x = $17,712

x = $17,712/0.8856

x = $20,000

the manufacturer's list price is $20,000

7 0
3 years ago
A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce bottles. The distribution for the amount
-Dominant- [34]

Answer:

The company should use a mean of 12.37 ounces.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce.

This means that \sigma = 0.17

The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)?

This is \mu, considering that when X = 12, Z has a p-value of 1 - 0.985 = 0.015, so when X = 12, Z = -2.17.

Then

Z = \frac{X - \mu}{\sigma}

-2.17 = \frac{12 - \mu}{0.17}

12 - \mu = -2.17*0.17

\mu = 12 + 2.17*0.17

\mu = 12.37

The company should use a mean of 12.37 ounces.

7 0
3 years ago
4x + 3y = 5<br> 2x – y=5<br> Use substitution method
lukranit [14]

Answer:  Slope = -2.667/2.000 = -1.333

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/3 = 1.66667

Step-by-step explanation: Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.667 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 1.667 = -2.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

7 0
3 years ago
The number of donuts produced by a machine is directly proportional to the time the machine runs . The machine produces 380 donu
mrs_skeptik [129]

Answer:

855 donuts

Step-by-step explanation:

380/20 = 19 donuts per minute

19 × 45 = 855

5 0
3 years ago
Point j (-8 -12) is reflected over the x axis where is j
stiv31 [10]

Answer:

J(0,2)

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

4 0
3 years ago
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