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nignag [31]
2 years ago
10

Q = 23° 26' 33" (Round to 3 decimal places as needed.)

Mathematics
1 answer:
Natali [406]2 years ago
6 0

Answer:

Q = 23° 26' 33"

Step-by-step explanation:

(Round to 3 decimal places as needed.)

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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students
Artemon [7]

Answer:

  • Let p be the population at t be the number of years since 2011.  Then, p=2000-50t
  • The projected population of the high school in 2015=1800
  • In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, p=2000-50t

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students




6 0
3 years ago
Convert 312 quarts to gallons.
dimaraw [331]
78 gallons is the same as 312 quarts
8 0
3 years ago
I NEED YOUR HELP FAST!!!!
nekit [7.7K]

Answer:

c. \:  {w}^{64}

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6 0
2 years ago
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A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
WHAT VALUE IS EQUIVALENT TO (7+3)^2 + (8-1) X 5 EQUAL
sdas [7]

Answer:

135

Step-by-step explanation:

(7+3)^2 + (8-1) * 5

Parentheses first

(10)^2 + (7) * 5

Exponents next

100 + 7*5

Multiply

100 + 35

Add

135

7 0
2 years ago
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