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2 years ago

Solve the equations below exactly. Give your answers in radians, and find all

Mathematics

1 answer:

kotegsom [21]2 years ago

8 0

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

$sin(t)=-\frac{\sqrt{3}}{2}$

$t=\frac{4\pi}{3},\frac{5\pi}{3}$

$cos(t)=\frac{1}{2}$

$t=\frac{\pi}{3},\frac{5\pi}{3}$

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by $(cos(\theta),sin(\theta))$ where $\theta$ is measured in radians.

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I need to evaluate h(3)

Natali5045456 [20]

Answer:

h(3) = - 1

Step-by-step explanation:

To evaluate h(3), that is x = 3 in the interval x ≥ 1 , then

h(x) = - x + 2 , thus

h(3) = - 3 + 2 = - 1

Then h(3) = - 1

8 0

2 years ago

X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to

Cerrena [4.2K]

Answer:

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0

3 years ago

Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following wee

Ymorist [56]

Answer:

Gummy bears $3.20/lbs

Jelly beans $7.50/lbs

Step-by-step explanation:

For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):

1.8x + 0.6y = 10.26

1.2x + 1.5y = 15.09

Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)

7 0

2 years ago

HELP ASAP WILL GIVE BRAINLY

melomori [17]

Answer:

(3x - 1)(4x - 3)

Step-by-step explanation:

separating terms it will look like this

(3x - 1)(4x - 3)

when multiple each numbers you will see it will form up as 12x^2 -13x + 3

8 0

2 years ago

Read 2 more answers

This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10. The average response was tha

Pie

Answer:

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = 83.9≅ 84 percentage

Step-by-step explanation:

Step(i):-

Mean of the Population = 8.3 points

Standard deviation of the Population = 0.5 points

Let 'X' be the random variable in normal distribution

Let X = 6.8

$Z = \frac{x-mean}{S.D} = \frac{6.8-8.3}{0.5} = -3$

Let X = 8.8

$Z = \frac{x-mean}{S.D} = \frac{8.8-8.3}{0.5} = 1$

The probability that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = P(-3≤Z≤1)

= P(Z≤1)- P(Z≤-3)

= 0.5 + A(1) - ( 0.5 -A(-3))

= A(1) + A(3) (∵A(-3)=A(3)

= 0.3413 +0.4986 (∵ From Normal table)

= 0.8399

Conclusion:-

The percentage that of people who gave the movie a rating between 6.8 and 8.8

P(6.8≤X≤8.8) = 83.9≅ 84 percentage

4 0

2 years ago