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Svetlanka [38]
2 years ago
9

Need help in this question

Mathematics
1 answer:
Anarel [89]2 years ago
3 0

Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

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Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg
zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is  [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

           P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = average rent paid by 314 BYU students = $346

            s = sample standard deviation = $86

            n = sample of students = 314

            \mu = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, \mu is ;

P(-2.082 < t_3_1_3 < 2.082) = 0.96

P(-2.082 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.082) = 0.96

P( -2.082 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.082 \times {\frac{s}{\sqrt{n} } } ) = 0.96

P( \bar X -2.082 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X +2.082 \times {\frac{s}{\sqrt{n} } } ) = 0.96

96% confidence interval for \mu = [ \bar X -2.082 \times {\frac{s}{\sqrt{n} } } , \bar X +2.082 \times {\frac{s}{\sqrt{n} } } ]

                                                = [ 346 -2.082 \times {\frac{86}{\sqrt{314} } } , 346 +2.082 \times {\frac{86}{\sqrt{314} } } ]

                                                = [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

5 0
3 years ago
(8, -3), m = 2<br> point slope form equation
pentagon [3]

Answer:

y=2x+14

Step-by-step explanation:

y=mx+b

hope its right

4 0
2 years ago
Read 2 more answers
The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr
Alex17521 [72]

Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) f(x-3)+1

G) f(x-5)

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

Vertical shift:

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) f(x+2)-7

Translation: f(x)\rightarrow f(x+2)-7

The translation shows a shift of 2 units to the left and 7 units down.

B) f(x)-3

Translation: f(x)\rightarrow f(x)-3

The translation shows a shift of 3 units down.

C) f(x-3)+1

Translation: f(x)\rightarrow f(x-3)+1

The translation shows a shift of 3 units to the right and 1 units up.

D) f(x)+4

Translation: f(x)\rightarrow f(x)+4

The translation shows a shift of 4 units up.

F) f(x+6)

Translation: f(x)\rightarrow f(x+6)

The translation shows a shift of 6 units to the left.

G) f(x-5)

Translation: f(x)\rightarrow f(x-5)

The translation shows a shift of 5 units to the right.

4 0
3 years ago
What is the solution to -5x-7≤2?
mr_godi [17]

Answer:

Step-by-step explanation:

-5x - 7 ≤ 2

+ 7 ≤ +7

---------------

-5x ≤ 9

---- -----

-5 -5

X=-1.8

-5(-1.8)-7 ≤ 2

4 0
3 years ago
Read 2 more answers
What is the sum of 4.9 × 102 and 6.8 × 103?
dusya [7]

Answer:

The sum is

7.92\times 10^3

Step-by-step explanation:

We want to add

4.9\times 10^2 and 6.8\times 10^3

The sum of these two numbers is:

4.9\times 10^2 +6.8\times 10^3

This is the same as:

4.9\times 100 +6.8\times 1000

490 +6800=7290

We rewrite 7290 in standard form to get;

7.92\times 10^3

6 0
3 years ago
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