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AnnyKZ [126]
4 years ago
8

Last question please help((: #10

Mathematics
2 answers:
GrogVix [38]4 years ago
6 0
We would use the sine function because we have an angle the hypotenuse, and the unknown opposite side.

sin(x)=opposite/hypotenuse
sin(60)=x/30
√3/2=x/30 (cross multiply)
30*√3/2=x (divide numerators and denominators by 2)
x=15√3 ft. 
So the correct answer is A

Hope this helps
ikadub [295]4 years ago
3 0
I think it is d becuz u 60-30 = 30 and devide that by 2 which is 15 qwhich the square in the corner is an equal of 2
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A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if
topjm [15]

Answer:

a) The expected value is \frac{-1}{15}

b) The variance is  \frac{49}{45}

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is \binom{10}{2}.

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is \binom{5}{2}. Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is \binom{5}{1}\cdot \binom{5}{1}. So, we define the following probabilities.

Probability of winning: \frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}

Probability of losing \frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}

Let X be the expected value of the amount you can win. Then,

E(X) = 1.10*probability of winning - 1 probability of losing =1.10\cdot  \frac{4}{9}-\frac{5}{9}=\frac{-1}{15}

Consider the expected value of the square of the amount you can win, Then

E(X^2) = (1.10^2)*probability of winning + probability of losing =1.10^2\cdot  \frac{4}{9}+\frac{5}{9}=\frac{82}{75}

We will use the following formula

Var(X) = E(X^2)-E(X)^2

Thus

Var(X) = \frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}

7 0
4 years ago
What is the size of angle x?
valentinak56 [21]
45 is the answer i hope this helps
8 0
3 years ago
Read 2 more answers
Tyler orders a meal that costs $15.
Papessa [141]

Answer:

There would be $ 0.99 sales tax on the meal.

Step-by-step explanation:

Given,

The cost of the meal ordered by him = $15,

sales tax rate percentage = 6.6%,

Thus, the amount of the sales tax = 6.6% of the cost of the meal

= 6.6% of 15

3 0
3 years ago
An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0
3 years ago
Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will t
Alex73 [517]

Answer:

3\frac{3}{4} days

Step-by-step explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day = \frac{1}{10}x

Father:

6 days = x

1 day = \frac{1}{6}x

Together:

1 day = \frac{1}{10}x + \frac{1}{6}x

        = \frac{6}{60}x + \frac{10}{60}x

        = \frac{16}{60}x

        = \frac{4}{15}x

No. of days = \frac{15}{15}x ÷ \frac{4}{15}x

                   = \frac{15}{15}x × \frac{15}{4}x

                   = \frac{225}{60}

                   = 3\frac{3}{4}

4 0
3 years ago
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