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3 years ago

What is the value of x? sin(x+34)°=cos(2x+20)°

1 answer:

8 0

We know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90 degrees
in this problem
(x+34)+(2x+20)=90-------> 3x+54=90----> 3x=90-54-----> x=36/3----> x=12°

the answer is
the value of x is 12 degrees

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The sum of x and 3 is divided by 2

Ganezh [65]

The mathematical expression in this case is
(x+3)/2

6 0

3 years ago

Nts) in a certain population of voters, 72% of them plan to vote in favor of a new

Ganezh [65]

Answer:

Probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.

Step-by-step explanation:

Consider the event of voting against the piece as success, 'p'. So, voting in favor of the piece is failure and denoted by 'q'.

Given:

Sample size is, $n=25$

Probability of failure is, $q=72\%=0.72$

Therefore, probability of success is, $p=1-q=1-0.72=0.28$

Number of successes is, $x=10$

Now, from Bernoulli's distribution, probability of $x$ successes out of $n$ samples is given as:

$P(X=x)=_{n}^{x}\textrm{C}p^xq^{n-x}$

Here, $n=25,x=10,p=0.28,q=0.72$ . Therefore,

$P(X=10)=_{25}^{10}\textrm{C}(0.28)^{10}(0.72)^{25-10}\\P(X=10)=_{25}^{10}\textrm{C}(0.28)^{10}(0.72)^{15}\\P(X=10)=3.269\times 10^{6}\times 2.962\times 10^{-6}\times 7.244\times 10^{-3}\\P(X=10)=70.142\times 10^{-3}=0.0701=7.01\%$

Therefore, probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.

8 0

3 years ago

Factor 1/2 out of 1/2x - 33/2

babymother [125]

Answer:

Step-by-step explanation:

1/2x-33/2=1/2(x-33)

6 0

3 years ago

Given f(x)=3(x-1)(x-7) what is the minimum output value of the function

Bond [772]

Answer:

-27

Step-by-step explanation:

f(x) = 3(x-1)(x-7)

= (3x-3)(x-7)

= 3x^2 - 24x + 21

when f(x) = 0, x = 7 or 1

x-intercept of vertix of the graph = (7+1 )/ 2 = 4

f(x) attains it's minimum when x = 4

The minimum output value = 3(4-1)(4-7) = -27

3 0

3 years ago

Hope you all have a great day!

ArbitrLikvidat [17]

u tooooooo!!

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4 0

3 years ago