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Tju [1.3M]
2 years ago
5

Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. J

illian pays $72 a month and $0.12 per text message sent. How many texts would each of them have to send in order for their bill to be the same amount at the end of the month?
Mathematics
1 answer:
barxatty [35]2 years ago
4 0

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

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Mr. Peterson needs topsoil for his garden. His rectangular garden is 78 in long and 48 in wide. A bag of topsoil covers an area
nata0808 [166]

Answer:

3744 inches squared, and 8 bags

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

˜”*°•.˜”*°• Area: •°*”˜.•°*”˜

Well, the formula for area is L*W

L=78 inches

W=48 inches

78*48=3744 inches squared

˜”*°•.˜”*°• Number of bags: •°*”˜.•°*”˜

3744/500=7.448

So he would need to buy 8 bags

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

4 0
2 years ago
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"
svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

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

1.037 = \frac{X - 134}{66}

X - 134 = 66*1.037

X = 202.44

At least 202.44 mm in the top 15%.

5 0
2 years ago
Find a linear equation to model this real-world application:
SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

<em><u>Solution:</u></em>

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

3 0
2 years ago
A researcher is using a repeated-measures design to test for mean differences among four treatment conditions. If the data for t
vodka [1.7K]

Answer:

Step-by-step explanation:

Given that a  researcher is using a repeated-measures design to test for mean differences among four treatment conditions.

The data for this study consist of 10 scores in each treatment.

We have to find the total subjects who participated in the study.

Each treatment has 10 scores

No of treatments = 4

Hence subjects participated in the study

= no of treatment x no of subjects

= 10*4=40

6 0
2 years ago
A new model of a cell phone was released while the original model was still being sold. The average number of the original model
Rufina [12.5K]

Answer:

2750 x (1 - 0.21)ˣ

Step-by-step explanation:

Original: 2750

1st week after: 2750 x (1 - 0.21)

2nd weeks after: 2750 x (1 - 0.21) x (1 - 0.21) = 2750 x (1 - 0.21)²

x weeks after:  2750 x (1 - 0.21)ˣ

8 0
2 years ago
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