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blsea [12.9K]
2 years ago
13

The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising

. The function y = –0.78x + 95 models the data in the table. Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day? 45 minutes 72 minutes 83 minutes 118 minutes
Mathematics
2 answers:
grigory [225]2 years ago
6 0

Answer: 72 minutes on edge

Step-by-step explanation:

STatiana [176]2 years ago
5 0

"The function y = –0.78x + 95 models the data in the table. Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?"


Just substitute 30 for x in the given function: f(30)= -0.78(30)+ 95.


71.6. She will exercise for about 72 minues on that day.

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8. The ratio of students in Arts, Science and Commerce Faculties is 5: 4: 3. If the number
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Answer:

Arts=295, Commerce=177

Step-by-step explanation:

That the three subjects have a common ratio implies that there is some common factor between them that relates to the actual number of students in each area, so 5:4:3 means 5x:4x:3x for some value of x

We know that there are 236 science students, so 4x = 236 or x = 59

so the number of arts students is 5(59) and the number of commerce students is 3(59)

Arts = 5*59 = 295

Commerce = 3*59=177

3 0
1 year ago
Which expressions are equivalent to -6n + (-12) + 4n?
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The answer is A. 4(n 3) - 6n
6 0
2 years ago
the local volleyball team hosts a concession stand to raise money. They can spend $120 to purchase popcorn, candy, and drinks. t
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To solve this question, I did an equation:
0.75x + 1.20y = 120
0.75(95) + 1.20(35) = 120
Then multiply:
71.25 + 42 = 120
Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps

7 0
2 years ago
The histogram shows the number of vacation days taken by employees in the past year. Based on the histogram, which statement is
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8 0
2 years ago
A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a
stealth61 [152]

Answer:

a) 0.954

b) 0.937

c) 0.891  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  6 percent

Standard Deviation, σ = 1.3 percent

We are given that the distribution of particular interest rate is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(At least 3.8 percent.)

P(x \geq 3.8)

P( x \geq 3.8) = P( z \geq \displaystyle\frac{3.8 - 6}{1.3}) = P(z > -1.69)

= 1 - P(z < -1.69)

Calculation the value from standard normal z table, we have,  

P(x \geq 3.8) = 1 - 0.046 = 0.954 = 95.4\%

b) P(At most 8 percent)

P(x \leq 8) = P(z \leq \displaystyle\frac{8-6}{1.3}) = P(z \leq 1.53)

Calculating the value from the standard normal table we have,

P( x \leq 8) =0.937= 93.7\%

c) P(Between 3.8 percent and 8 percent. )

P(3.8 \leq x \leq 8) = P(-1.69 \leq z \leq 1.53)\\\\= P(z \leq 1.53) - P(z < -1.69)\\= 0.937 - 0.046 = 0.891 = 89.1\%

P(3.8 \leq x \leq 8) = 89.1\%

3 0
2 years ago
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