t=29pi/6
1. find the reference number
2. find the point on the unit circle
3. 6 trig functiond

Answer:

[tex]Expected = 0.09375[/tex]

Step-by-step explanation:

Given

[tex]Balls = 4[/tex]

[tex]n = 4[/tex] --- selection

Required

The expected distinct colored balls

The probability of selecting one of the 4 balls is:

[tex]P = \frac{1}{4}[/tex]

The probability of selecting different balls in each selection is:

[tex]Pr = (\frac{1}{4})^n[/tex]

Substitute 4 for n

[tex]Pr = (\frac{1}{4})^4[/tex]

[tex]Pr = \frac{1}{256}[/tex]

The number of arrangement of the 4 balls is:

[tex]Arrangement = 4![/tex]

So, we have:

[tex]Arrangement = 4*3*2*1[/tex]

[tex]Arrangement = 24[/tex]

The expected number of distinct color is:

[tex]Expected = Arrangement * Pr[/tex]

[tex]Expected = 24 * \frac{1}{256}[/tex]

[tex]Expected = \frac{3}{32}[/tex]

[tex]Expected = 0.09375[/tex]

Answer:

Remember that the area of a square of sidelength L is:

A = L^2

And the area of a circle of diameter D is:

A = pi*(D/2)^2

If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:

Notice that the diameter of the circle will be equal to the diagonal of the square.

And the diagonal of a square of side length L is:

d = √(2)*L

knowing that the side length of our square is 6 inches, the diameter of the circle will be:

D = √2*6in

Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.

The area of the circle is:

A = pi*(√2*6in/2)^2 = (pi/2)*36in^2

The area of the square is:

A' = (6in)^2 = 36in^2

The difference is:

A - A' =  (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2

And there are 4 of these segments, then the area of every single one is one-fourth of that:

a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2

The area of each segment is:

a =  (pi/2 - 1)*9 in^2

if we replace pi by 3.14, the exact area will be:

a = (3.14/2 - 1)*9in^2 = 5.13 in^2

Answer:

187 sweets

Step-by-step explanation:

8 units - 6 units = 2 units

2 units = 22 sweets

1 unit = 22 sweets ÷ 2

= 11 sweets

Total amount of sweets = 11 sweets × (6 units + 3 units + 8 units) = 11 sweets × 17 = 187 sweets

Answer:

3

Step-by-step explanation:

Here's the rundown of values:

12=9

9=6

6=3

3rd value=3

*The values are created through going through the numerical process.

Answer:

Total number in favour:

Probability:

Total number in against:

Probability:

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]

⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]

⇒ ? = 3

Answer:

2

Step-by-step explanation:

The initial value is the y value of the first term shown ( when x=1)

y = 2 when x=1

The initial value is 2

Answer:

What is the initial value of the sequence?

Step-by-step explanation:

Edge 2021

Answer:

C

Step-by-step explanation:

cot =cos/sin =a/b

cos=a/b*sin

(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)

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

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

Answer:

The sum of the arithmetic series is 2717.

Step-by-step explanation:

The sum of an arithmetic sequence is given by:

[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]

Where k is the number of terms, a is the initial term, and x_k is the last term.

There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:

[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]

In conclusion, the sum of the arithmetic series is 2717.

Answer:

Step-by-step explanation:

Choice A is the only one that is applicable.

Answer:

A. F(x) has 1 relative minimum and maximum.

Step-by-step explanation:

[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]

As x and F(x) tend to positive and negative infinity:

[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]

❎So, B and C are excluded.

Roots of the polynomial:

[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]

❎, D is also excluded.

✔, A

Answer:

x=10

y=-9

Step-by-step explanation:

eqn 2-1

-1x+10=0

x=10

in eqn 1

y=-2 ×10+11

-20+11

-9

Answer:

y =1/2x -4

Step-by-step explanation:

x1 y1  x2 y2

2 -3  4 -2

(Y2-Y1) (-2)-(-3)=   1  ΔY 1

(X2-X1) (4)-(2)=    2  ΔX 2

slope=   1/2    

B= -4          

Y =0.5X -4    

Answer:

Step-by-step explanation:

The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).

Answer:

-8

Step-by-step explanation:

Answer:

Therefore, the value of x is 5.

Step-by-step explanation:

We can match each equation to find the solutions.

[tex]8x-40=x^{2}-2x-15[/tex]

[tex]0=x^{2}-2x-8x-15+40[/tex]

[tex]x^{2}-10x+25=0[/tex]

Now, we need solve this quadratic equation.

[tex](x-5)^{2}=0[/tex]

Therefore, the value of x is 5.

I hope it helps you!

Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Step-by-step explanation:

They are not independent events because if they were P(A∣B) and P(A) would be equal.

Answer:

No

Step-by-step explanation:

Because intergerss are there positive opposite and its negative

Answer and Step-by-step explanation:

-626 is an integer because it is a whole number, not a fraction.

Integers can be both positive and negative numbers. What can't be an integer are fractions and decimals.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

$10.80 (about $11)

Brainliest, please!

Step-by-step explanation:

20% = 0.2

+20% = x 1.2

1.5 x 1.2 = 1.8

1.8 x 6 = 10.8

Answer:

The surface area of the rectangular prism is 814[tex]in^{2}[/tex]

Step-by-step explanation:

In order to find the surface area for a rectangular prism you have to solve using the following formula

A=2(wl+hl+hw)

Hope this helps!

Answer:

y = 500 * (2)^x is an exponential function

Step-by-step explanation:

An exponential function is of the form

y = a b^x  where a is the initial value and b is the growth/decay factor

y = 500 * (2)^x is an exponential function

The correct equation that represents an exponential function with an initial value of 500 is:

f(x) = 500(2)x

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

We are given that the initial value of the exponential function is 500. The initial value refers to the value of the function when x is equal to zero. Therefore, the value of f(0) is 500.

Out of the four given options, only option (c) represents an exponential function with an initial value of 500, since f(0) is equal to 500 when x is equal to zero:

f(x) = 500(2)^x

Option (a) represents an exponential function with an initial value of 100 and a base of 5.

Option (b) represents a power function, not an exponential function.

Option (d) represents an exponential function with an initial value of 0 and a base of x^2, which can take any value including negative values, thus it doesn't satisfy the conditions of a valid exponential function.

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

#SPJ7

Let one be x

ATQ

[tex]\\ \sf \longmapsto x+x-10=90[/tex]

[tex]\\ \sf \longmapsto 2x-10=90[/tex]

[tex]\\ \sf \longmapsto 2x=90+10[/tex]

[tex]\\ \sf \longmapsto 2x=100[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{100}{2}[/tex]

[tex]\\ \sf \longmapsto x=50[/tex]

[tex]\\ \sf \longmapsto x-10=50-10=40[/tex]

Answer:

26

Step-by-step explanation:

Let x = the third angle in the triangle

x = 102 because they are vertical angles

The sum of the angles in the triangle are 180

b+2b+102 =180

3b+102 =180

3b = 180-102

3b = 78

Divide by 3

3b/3 = 78/3

b = 26

Answer:

Its is 26 aka E

Step-by-step explanation:

So we know that a triangle has 180 degrees in total. So we know one side is 102 degrees. 180-102=78. we can do 78 divide by 3 since there is 3b's in total. 78/3=26. Therefore, it is 26 which is E. I hope this helped ^^.

Answer:

I don't understand the question?

Answer:

The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.

Step-by-step explanation:

A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:

At the null hypothesis, we test if the mean is of 23.6, that is:

[tex]H_0: \mu = 23.6[/tex]

At the alternative hypothesis, we test if the mean is of more than 23.6, that is:

[tex]H_1: \mu > 23.6[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

23.6 is tested at the null hypothesis:

This means that [tex]\mu = 23.6[/tex]

The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.

This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]

[tex]z = 0.97[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.

Looking at the z-table, z = 0.97 has a p-value of 0.834.

1 - 0.834 = 0.166

The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.

Answer:

not sure if the answer is obvious but I'd say $6.89 + t = $8.00

Step-by-step explanation:

so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart

after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this

$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip

now continue checking your answer next is , $6.89 - t = $8.00

which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11

hopefully that help maybe i can get brainlist?!

Answer:

6.89 + t = 8.00

Step-by-step explanation:

it's A

Edge 2021

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

Answer:

100

Step-by-step explanation:

Hey there!

First, to find the cost of one apple, 50 ÷ 25, which equals 2.

At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.

If you meant 75 apples: 75 x 2 = $150

If you meant $75 apples: $75 ÷ 2 = 37.5

Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.

Hope this helps!

Have a great day!

Answer:

It is false, because infinity is not a cardinality. The set  N  of positive integers is infinite and its cardinality is, if you wish,  ℵ0 , the smallest infinite cardinal number, at least in an axiomatic set theory. A set  S  is infinite if and only if there exists a bijection between  S  and a proper subset of  S , i.e. a subset of  S  different from  S . Now the successor function  s:N→N∗  is such a bijection; this follows from Peano’s axioms for arithmetic.

Answer: false

please click thanks and mark brainliest if you like :)