If theta=3pi/4

Sin theta=?
Cos theta=?

Answer:

(A)[tex]2^n[/tex]

Step-by-step explanation:

Given a set with "n" number of elements, the collection of all subsets of the set is referred to as the Power set of the given set.

To find the  number of possible subsets of any set, we use the formula: [tex]2^n[/tex]

Take for example the set: A={2,3,4)

A has 3 elements, therefore n=3

The number of possible subsets of A is: [tex]2^3=8$ subsets[/tex]

Answer:

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Having a college degree.

Event B: Voting for Scott Walker.

They found that 57% of the respondents voted in favor of Scott Walker.

This means that [tex]P(B) = 0.57[/tex]

Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree

This means that [tex]P(A|B) = 0.33[/tex]

Probability of having a college degree.

33% of those who voted for Scott Walker(57%).

45% of those who voted against Scott Walker(100 - 57 = 43%). So

[tex]P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816[/tex]

What is the probability that he voted in favor of Scott Walker?

[tex]P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929[/tex]

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Answer:

8x/5

There’s a 1 in front of the x also remember to always simplify

3/5x + 1x

Answer:8x/5

Step-by-step explanation:

Complete Question

The complete question is shown on the first  and second uploaded image

Answer:

a

  [tex]\= HK = \= t + \= u[/tex]

b

  [tex]\= GL = \= s - \= t[/tex]

c

[tex]\= JH = \= u + \= s[/tex]

Step-by-step explanation:

Now looking at the diagram

Following the direction of the unit vectors [tex]\= u , \= s, \= t[/tex]

     [tex]\= {HK} = \= {KI} + \= KL[/tex]

=>   [tex]\= HK = \= t + \= u[/tex]

And  

    [tex]\= GL = \= GH + \= GF[/tex]  jjj

=>   [tex]\= GL = \= s - \= t[/tex]

Also

    [tex]\= JH = \= JG + \= JI[/tex]

=>  [tex]\= JH = \= u + \= s[/tex]

Answer:

[tex]x = \frac{-41}{17} , y = \frac{-1}{17}[/tex]

Step-by-step explanation:

Step(i):-

Given equations are  2 x+3 y=-5  ...(i)

                                   5 x-y=-12 ...(ii)

Multiply equation (ii) by '3'

                                    2 x + 3 y  = -5  

                                   15 x - 3 y  = - 36

                                  17 x  = - 41

                                   [tex]x = \frac{-41}{17}[/tex]

Step(ii):-

Substitute [tex]x = \frac{-41}{17}[/tex]  in equation (i)

                             2 ([tex]\frac{-41}{17}[/tex]+3 y=-5

                                 3 y = - 5 + [tex]\frac{82}{17}[/tex]

                               [tex]3 y = \frac{-85 + 82}{17} = \frac{-3}{17}[/tex]

                               [tex]y = \frac{-1}{17}[/tex]

The solution of the two equations

 ( x, y ) = [tex](\frac{-41}{17} , \frac{-1}{17})[/tex]

Answer:

580

Step-by-step explanation:

"128 less than a number is 452" is represented by:

n - 128 = 452

Solve for 'n':

n - 128 + 128 = 452 + 128 (Addition Property of Equality)

n = 580

Answer:

I think its 1/9

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sometimes problems of this nature are easily worked by considering groups of items. Here, it is convenient to consider a group as 1 hot dog and 3 sodas, so the number of sodas in the group is 3 times the number of hotdogs in the group.

Each group is 4 items, so 152/4 = 38 groups were sold.

In the 38 groups, there were 38 hot dogs and 3×38 = 114 sodas.

114 sodas and 38 hot dogs were sold.

Answer:

Since the z score for the male is z=-2.1589 and the z score for the female is z=-2.6844​, the female has the weight that is more extreme.

Step-by-step explanation:

To find the z score, we use the following equation:

[tex]z=\frac{x-m}{s}[/tex]

Where m is the mean and s is the standard deviation.

So, the z score for a male who weighs 1700 g is:

[tex]z=\frac{1700-3259.6}{722.4}=-2.1589[/tex]

At the same way, the z score for a female who weighs 1700 g is:

[tex]z=\frac{1700-3031.2}{495.9}=-2.6844[/tex]

Finally, -2.6844 is farther from zero than -2.1589, so the female has the weight that is more extreme.

Answer:

D. 7017

Step-by-step explanation:

if 24 is the first term, find 7x999, or 7x1000-7 and add 24

however a better way would be to use the formula

value=a+(n-1)d

a = the first term in the sequence (24)

n     =     the amount of terms you need (1000)

d = the common difference between terms (7)

Answer:

Vector is equal to vector b. For two vectors to be equal, they must have both the magnitude and the directions equal.

Step-by-step explanation:

Answer:

a. 3

b. 5

c. 4

d. 4

e. 10

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

a.3

b.5

c.2

d.2

6. 8p

Answer:

I think l

Step-by-step explanation:

first add 96 and4 then 2 I think

Answer:

The highest you could reach with this ladder is 30 feet or 9.14 meters.

Answer: It’s to change the shape of a function

Step-by-step explanation:

To change the shape of a function, you need to stretch or compress it.

In math terms, you can stretch or compress a function horizontally by multiplying x by some number before any other operations. To stretch the function, multiply by a fraction between 0 and 1. To compress the function, multiply by some number greater than 1.

By definition, a function has one possible output for any given input. So if you want your function defined as some y=f(x), then not every shape can be written as a function. Any shape that has two points directly above each other (relative to the x-axis) cannot be written as a function, even a piecewise one.

Learn more about the shape of a function, here: https://brainly.com/question/1884491

#SPJ2

Answer:

  C  Both (-2,13) and (-1,7)

Step-by-step explanation:

Try the offered points in the equation and see if they work

  y = -6x +1

For (-2, 13):

  13 = -6(-2) +1 = 12 +1 . . . . true

For (-1. 7):

  7 = -6(-1) +1 = 6 +1 . . . . true

Both ordered pairs are solutions.

Answer:

False

Step-by-step explanation:

Answer:

A quadrilateral can't have 2 reflex angles

Step-by-step explanation:

A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°

Answer:

6163.2 years

Step-by-step explanation:

A_t=A_0e^{-kt}

Where

A_t=Amount of C 14 after “t” year

A_0= Initial Amount

t= No. of years

k=constant

In our problem we are given that A_t is 54% that is if A_0=1 , A_t=0.54

Also , k=0.0001

We have to find t=?

Let us substitute these values in the formula

0.54=1* e^{-0.0001t}

Taking log on both sides to the base 10 we get

log 0.54=log e^{-0.0001t}

-0.267606 = -0.0001t*log e

-0.267606 = -0.0001t*0.4342

t=\frac{-0.267606}{-0.0001*0.4342}

t=6163.20

t=6163.20 years

PLEASE MARK BRAINLY

Answer:

The probability that the number of free throws he makes exceeds 80 is approximately 0.50

Step-by-step explanation:

According to the given data we have the following:

P(Make a Throw) = 0.80%

n=100

Binomial distribution:

mean:   np = 0.80*100= 80

hence, standard deviation=√np(1-p)=√80*0.20=4

Therefore, to calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:

P(X>80)= 1- P(X<80)

You could calculate this value via a normal distributionapproximation:

P(Z<(80-80)/4)=1-P(Z<0)=1-50=0.50

The probability that the number of free throws he makes exceeds 80 is approximately 0.50

The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

Given that,

A college basketball player makes 80% of his free throws.

Over the course of the season, he will attempt 100 free throws.

Assuming free throw attempts are independent.

We have to determine,

The probability that the number of free throws he makes exceeds 80 is.

According to the question,

P(Make a Throw) = 80% = 0.80

number of free throws n = 100

Binomial distribution:

Mean: [tex]n \times p = 0.80 \times 100 = 80[/tex]

Then, The standard deviation is determined by using the formula;

[tex]= \sqrt{np(1-p)} \\\\=\sqrt{80\times (1-0.80)}\\\\= \sqrt{80 \times 0.20 } \\\\= \sqrt{16} \\\\= 4[/tex]

Therefore,

To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:

[tex]P(X>80)= 1- P(X<80)[/tex]

To calculate this value via a normal distribution approximation:

[tex]P(Z<\dfrac{80-80}{4})=1-P(Z<0)=1-0.50=0.5000[/tex]

Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

To know more about Probability click the link given below.

https://brainly.com/question/21586810

Answer:

1.08

Step-by-step explanation:

If Romeo earns 8% more than Juliet,

Example?

If Juliet earns $80

80x8% = 6.40  So his pay would be 80 + 6.40

If you times 80 by 1.08 (this would also be 108%) you would get $86.40

Answer:

Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.

hope it help please mark me as brainliest

Answer:

Find g(f(−1)).

g(f(−1)) =  64

Find f(g(−1)).

f(g(−1)) = -6

f(g(−1)) is - 8.

A composite functions is a function where two or more than two functions are combined.The output of the previous function is the input of the next function.

According to the given question we have to find a composite function.

Assuming f(x) = x² + 9x and g(x) = x³.

To find f(g(-1)) first we have to put x = -1 for g(x) which is

= g(-1) = (-1)³ = -1.

Now we put this value of g(-1) in f(x).

∴ f(g(-1))

= f(-1)

= (-1)² + 9(-1)

= 1 - 9

= - 8.

learn more about composite functions here :

https://brainly.com/question/20379727

#SPJ2

Answer:

b) -2/5

Step-by-step explanation:

b is -2/5 because its negative and goes down at a rate of 0.4 or 2/5

a , ummmm IDK that, sorry

Brainliest, crown to me

Answer:

The slope of this curve where it meets the right pole is 1.130

The angle between the line and the right pole is 41.51 °

Step-by-step explanation:

Given that ;

[tex]y = 30 \ cos h (\dfrac{x}{15} - 4)[/tex]

[tex]\dfrac{dy}{dx}= \dfrac{30}{15} sinh(\dfrac{x}{15})[/tex]

[tex]\dfrac{dy}{dx}=2 \ sinh(\dfrac{x}{15})[/tex]

x = 9 m;( i.e half of the distance of the two poles at 18 meters apart.

[tex]\dfrac{dy}{dx}=2 \ sinh(\dfrac{9}{15})[/tex]

= 1.130

The slope of this curve where it meets the right pole is 1.130

The angle between the line an the right rope can be determined by using the tangent of the slope .

tan ∝ = 1.130

∝ = tan⁻¹ (1.130)

∝ = 48.49°

The angle is θ; so

θ = 90 - ∝

θ = 90 - 48.49°

θ = 41.51 °

Thus; the angle between the line and the right pole is 41.51 °

Properties of the logarithm: for any base of logarithm,

log(a*b) = log(a) + log(b)

If we replace b with 1/b, or b^-1, we have

log(a/b) = log(a) + log(1/b) = log(a) - log(b)

since

log(1/b) = log(b^-1) = - log(b)

using the power property of logarithms,

log(b^n) = n log(b)

Now,

ln35 = ln(5*7) = ln5 + ln7

ln(1/7) = - ln7

ln25 = ln(5^2) = 2 ln5

Putting everything together, we have

(ln35 + ln(1/7))/ln25 = (ln5 + ln7 - ln7)/(2 ln5) = ln5/(2 ln5) = 1/2

Answer:

9

Step-by-step explanation:

"5.2 times a number is 46.8" as an equation is:

[tex]5.2*n=46.8[/tex]

Solve for 'n':

[tex]5.2*n=46.8\\5.2/5.2*n=46.8/5.2 \leftarrow \text {Division Property of Equality} \\\boxed {n=9}[/tex]

Answer:

Is there a picture or graph or..

Step-by-step explanation:

Step-by-step explanation:

arc length = (radians * radians) . 90° is π/2 radians. Arc length is (π/2×4). So the answer is 2π.

Answer: V=4778.4 cm³

Step-by-step explanation:

[tex]V=\pi r^2\frac{h}{3}[/tex] is the formula for volume. Since we are given the height and radius, we can directly plug it into the equation

[tex]V=\pi (13)^2(\frac{27}{3})[/tex]

[tex]V=169\pi (9)[/tex]

[tex]V=1521\pi[/tex]

[tex]V=4778.4cm^3[/tex]

Answer:

Do you mean "Riley has a farm on a rectangular piece of land that is  200   meters wide. This area is divided into two parts: A square area where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.  

Every week, Riley spends  $3  per square meter on the area where she lives, and earns  $7  per square meter from the area where she grows avocados. That way, she manages to save some money every week." ?

The answer is 7L^2>3l(200-l)