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frozen [14]
3 years ago
15

Given that sin0 = x/10

Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer: arcsin x/10

Step-by-step explanation:

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Find an equation for the plane through the points p=(0,0,0), q=(0,1,0), and r=(1,2,3)
jek_recluse [69]
Hello,

Assume Ax+By+Cz+D=0 the plane 's equation.

p=(0,0,0)==>A*0+B*0+C*0+D=0==>D=0

q=(0,1,0)==>A*0+B*1+C*0+0=0==>B=0

r=(1,2,3)==>A*1+0*2+C*3+0=0==>A=-3C
Let C=1==>A=-3

An equation of the plane is -3x+z=0


6 0
4 years ago
What is 76.78 rounded to the nearest whole number?
galben [10]
Lets look at the number. 76.78. In each of the different place holders the number is higher than 5. Lets do some examples. 74 rounded to the nearest whole number is going to be 70. 76 rounded to the whole number will be 80. The .78 in your question also contributes. 

Answer: 80
6 0
3 years ago
Read 2 more answers
. In the 107th Congress, the Senate consists of 13 women and 87 men. If a lobbyist for the tobacco industry randomly selects thr
brilliants [131]

Answer:

0.18% probability that they are all women

Step-by-step explanation:

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

The order in which the senators are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

3 women, from a set of 13. So

D = C_{13,3} = \frac{13!}{3!(13 - 3)!} = 286

Total outcomes:

3 senators, from a set of 100. So

T = C_{100,3} = \frac{100!}{3!(100 - 3)!} = 161700

Probability;

p = \frac{D}{T} = \frac{286}{161700} = 0.0018

0.18% probability that they are all women

5 0
4 years ago
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43, If not, you pay me $11 (Aces
mrs_skeptik [129]

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

8 0
3 years ago
Scientists are studying the temperature on a distant planet. Let y represent the temperature (in degrees Celsius).
mars1129 [50]
Wouldn't this be science because it's dealing with temperature?
3 0
3 years ago
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