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9966 [12]
2 years ago
6

Clare is paid $90 for 5 hours of work. At this rate, how many seconds does it take for her to earn 25 cent?

Mathematics
2 answers:
Alla [95]2 years ago
7 0
50 secs

as $90÷5hrs= 18 $ per hrs

$18÷60min=$0.30 per min

$0.30÷60sec=$0.005 per sec

$0.25÷$0.005= 50sec to make $0.25

so 50sec is the answer
ziro4ka [17]2 years ago
7 0

Answer:

50 seconds

Step-by-step explanation:

Given: Clare is paid $90 for 5 hours of work.

To find: how many seconds does it take for her to earn 25 cent?

Solution: It is given that Clare is paid $90 for 5 hours of work.

We know that $1 is equal to 100 cents.

1 hour is equal to 3600 seconds

So, we get $90=90\times100=9000 cents

5 hours=5\times3600=18000 seconds

Therefore, time taken to earn 1 cent=\frac{18000}{9000} =2 seconds

So, time taken to earn

25 cents=25\times2

=50 seconds

Hence, it take 50 seconds to earn 25 cents.

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Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
2 years ago
Imagine you conducted a study to look at the association between whether an expectant mother eats breakfast (or not) and the gen
mario62 [17]

Answer:

: The percentage of newborn infants who are exclusively breastfed at the time of hospital discharge.

Data Source: Rhode Island Department of Health, Center for Health and Data Analysis, Newborn Developmental Risk Screening Program Database and Maternal and Child Health Database.

Footnotes: The year indicated is the mid-year of a five-year period of data.

Step-by-step explanation:

3 0
2 years ago
A customer at a restaurant leaves $80 on the table to pay for the food, a 15% tip, and 8% sales tax. If both tip and sales tax w
Romashka-Z-Leto [24]

Answer:

<em>$65.04</em>

<em></em>

Step-by-step explanation:

Given:

Total amount left by the customer on table = $80

It contains cost of the food + 15% tip + 8% sales tax.

Sales tax and tip are calculated from the cost of food.

To find:

Cost of the food = ?

Solution:

Let the cost of food = $x

As per given question statement:

Tip = 15% of x

Sales Tax = 8% of x

Money left on table = Cost of food + Tip + Sales tax

$80 = x + 15% of x + 8% of x

Now, let us solve the equation:

\$80 = x + 15\%\ of\ x + 8\%\ of\ x\\\Rightarrow 80 = x + \dfrac{15}{100} \times x + \dfrac{8}{100} \times x\\\Rightarrow 80 = \dfrac{100x + 15\times x + 8\times x}{100}\\\Rightarrow 80 = \dfrac{123x}{100}\\\Rightarrow 80 \times 100= 123x\\\Rightarrow x = \dfrac{8000}{123}\\\Rightarrow \bold{x = \$65.04}

Therefore, the cost of food, rounded off to nearest cent is <em>$65.04.</em>

3 0
2 years ago
Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent.
bonufazy [111]

Credit To: "lublana" On Brainly For This Answer

Answer:

Given that one time charge of appartment "a" = $100

Given that monthly rent of appartment "a" = $400

say the number of months = x

then total cost of the rent for apartment "a" = 100+400x

Given that one time charge of appartment "b" = $500

Given that monthly rent of appartment "b" = $350

then total cost of the rent for apartment "b" = 500+350x

Now we have to make an inequality so that number of months it would take for the total paid to be less for apartment b.

that means 100+400x is less than 500+350x

Hence required inequality is 100+400x<500+350x.

Now we have to solve this inequality.

400x-350x<500-100

50x<400

divide both side by 50

x<8

hence final answer is number of months should be less than 8.

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