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polet [3.4K]
2 years ago
7

One month Mai rented

Mathematics
1 answer:
AveGali [126]2 years ago
7 0
The first thing we must do for this case is to define variables:
 x = rental cost of movies
 y = rental cost of video games
 We write the system of equations:
 6x + 2y = 36
 3x + 5y = 39
 Resolving we have:
 x = 4.25 $
 y = 5.25 $
 Answer:
 
The rental cost for each movie and each video game is:
 
movies = 4.25 $
 
video games = 5.25 $
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djverab [1.8K]

Answer:

0.40

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Exit A or exit B, so 2 desired outcomes.

This means that D = 2

Total outcomes:

Any of the 5 exits, so T = 5

Probability:

p = \frac{2}{5} = 0.4

7 0
3 years ago
A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find,
CaHeK987 [17]

If you sketch the man and the building on paper, you'll have a
right triangle.  The right angle is the point where the wall of
the building meets the ground.  The height of the building
is one leg of the triangle, the line on the ground from the
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from his feet to the top of the building is the hypotenuse.

We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.

Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.

The tangent of the angle is      (opposite) / (adjacent)

                                                = (350 ft)  /  (1,000 ft) = 0.350 .

To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .

           tan⁻¹(0.350)  =  19.29° .  (rounded)

3 0
3 years ago
A 30-60-90 triangle's short leg has a length of 25. What is the length of the longest leg?
astraxan [27]

Answer:

25\sqrt{3}

Step-by-step explanation:

30-60-90 Triangles

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3 years ago
Evaluate each expression. 3^-2
Rus_ich [418]
9 is the answer negatives cancel out creating positve
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3 years ago
Read 2 more answers
Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (
aleksley [76]

Answer:

H_0: p = 0.5\\H_a: p \neq 0.5

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test  

x = 56

n = 100

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{56}{100}

\widehat{p}=0.56

Formula of test statistic =\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                       =\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}

                                       =1.2

refer the z table for p value

p value = 0.8849

a.  We get 560 heads out of 1000 tosses.

We will use one sample proportion test  

x = 560

n = 1000

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{560}{1000}

\widehat{p}=0.56

Formula of test statistic =\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                       =\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}

                                       =3.794

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

6 0
2 years ago
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