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rosijanka [135]
4 years ago
12

Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour?

Mathematics
1 answer:
vladimir1956 [14]4 years ago
4 0
Hey there,
2 hours = 15 pages
1 hour = 15 / 2
           = 7.5 pages
15 pages = $40
1 page = $40 / 15
            = $2.666666666666667
7.5 pages= $2.666666666666667 x 7.5
               = $20

Hope this helps :))

~Top
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Ibrahim wants to give each of his six friends 1 2/3 candy bars. How many candy bars does he need to buy?
denis-greek [22]

Answer:

10 candy bars

Step-by-step explanation:

Since each of his friends needs a candy bar, you need to multiply 6 and 1 ⅔ together.

First, convert 1 ⅔ into an improper fraction: this gives us ⁵⁄₃.

Next, multiply ⁶⁄₁ and ⁵⁄₃ together. To do this, you can visualize 6 as ⁶⁄₁ (which is the same thing). Now you have ⁶⁄₁ x ⁵⁄₃.

<u>Simplify:</u>

The 6 in the numerator and the 3 in the denominator cancel out. This gives us ²⁄₁ x ⁵⁄₁ , which is 2 x 5.

2 x 5 = 10

4 0
3 years ago
A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

Z_{1-\alpha /2}= Z_{0.95}= 1.645

[10.41±1.645*(\frac{3.71}{\sqrt{28} } )]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

7 0
4 years ago
The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t
Vesnalui [34]

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

n(S)=42

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

n(A)=30

Let P(A) be the probability that the selected person is a professor or a male.

P(A)=\frac{n(A)}{n(S)}P(A)=\frac{30}{42}P(A)=\frac{15}{21}=\frac{5}{7}

Final answer:

The probability that the selected person is a professor or a male is 5/7.

7 0
2 years ago
The table shows the gallons of water in a pool over time.
Valentin [98]

Answer:

6 gallons per minute

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is  

Q = a + bt ........... (1)

Now, Q(t = 0) is given to be 50 gallons.

So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).

Now, two points on the graph are (0,50) and (1,44).

So, the slope = b =  = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

6 0
3 years ago
Read 2 more answers
Some help with this
Anna71 [15]

Answer:

Growth

Step-by-step explanation:

7 0
3 years ago
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