prime factor of 841​

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is  0.10.

Since  The type 2 error should be committed at the time when the alternative hypothesis should be rejected

So, it can be like

Power = 1 - P(type 2 error)

Given that power = 0.90 ;

P(type 2 error) = probability of committing a type 2 error.

Now

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

Learn more about probability here: https://brainly.com/question/10695144

Answer:

Kindly check attached picture for number line.

Step-by-step explanation:

Total time Allen would love to complete race is less than 5.5 hours

Time elapsed = 3 hours

Inequality representing the problem above :

3 + t < 5.5

Where t will mean the time left.

Solving for t

t < 5.5 - 3

t < 2.5

Time left is < 2.5 hours.

Answer:

Open Circle to the left from 2.5

Step-by-step explanation:

Answer:

x^2 - 2x

Step-by-step explanation:

Distribute the x to every term in the parenthesis.

Answer:

x^2 -2x

Step-by-step explanation:

x(x - 2)

Distribute

x*x - 2*x

x^2 -2x

Answer:

its domain

Step-by-step explanation:

Answer:

i believe it is A- range.

Step-by-step explanation:

i took the quiz

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Here, we want to match what we have on the left with the expressions on the right.

(-4^9)^2

= -4^18

(4^6)^-3

= 4^-18 = 1/4^18 according to laws of indices

(4^0)^-9 = 4^0

(4^-3)^-3

= 4^9

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Answer:

Step-by-step explanation:

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

19.8 + 2t = 50.2

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

Hope this helped,

Kavitha

Answer:

t = 15.2 miles

Step-by-step explanation:

First, let's add the top and bottom numbers together.

7.8 + 12 = 19.8 mi

Next, we subtract that from 50.2 to get the combined value of both t's.

50.2 - 19.8 = 30.4 mi

Finally, we can divide 30.4 by 2 to get the value of t.

30.4 ÷ 2 = 15.2 mi

To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4

30.4 + 12 + 7.8 = 50.2

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

Answer: not sure

Step-by-step explanation:

Answer:

Hey there!

3x-5=10x+9

-5=7x+9

-14=7x

x=-2

4(x+7)

4(-2+7)

4(5)

20

Hope this helps :)

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

  [tex]\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

  [tex]\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}[/tex]

 Sin∠DBA = [tex]\frac{35\times \text{Sin}(110)}{46}[/tex]

 m∠DBA = [tex]\text{Sin}^{-1}(0.714983)[/tex]

 m∠DBA = 45.64°

 Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

                  m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

  Area of ΔABD = AD×BD×Sin([tex]\frac{24.36}{2}[/tex])

                           = 35×46Sin(12.18)

                           = 339.68 units²

   Area of ΔBCD = BD×BC×Sin([tex]\frac{59.92}{2}[/tex])°

                            = 46×27×(0.4994)

                            = 620.25 units²

   Area of ABCD = 339.68 + 620.25

                            = 959.93 units²

Step-by-step explanation:

5(2h+8) <60

10h +40< 60

10h + 40-40 < 60-40

10h < 20

10h/10 < 20/10

h < 2

Answer:

The correct option is

[tex]A. \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex]

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is [tex]\dfrac{1}{c} \times \left | x - 5 \right | = 0.3[/tex] or [tex]\left | x - 5 \right | = 0.3 \times c[/tex] which gives the correct option as A

Answer:

see below

Step-by-step explanation:

Alright, geometric probability.

We need to find

To find those, we need to find the areas of:

Let's start off with the easiest figure. The circle.

The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.

The circle has an area of around 314.159265.

Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.

Formula for side of square using diagonal:

a = q / √2

20/√2 = 14.142135623731

The area of a square is a^2

14.142135623731^2= 200

The area of the square is 200 m^2. (28)

Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.

314.159265 - 200= 114.159265

The area of the part of the circle that does not include the square is 114.159265.

Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.

The height of this triangle is 30m. Therefore, the area is 519.6152422706632.

The area of the equiangular triangle is 519.6152422706632.

The side length of the equiangular triangle is 34.64101615137755.

The area of the rectangle= l times w.

l = 34.64101615137755

w= 30

30 times 34.64101615137755= 1039.23048454133

The total area is 1039.23048454133.

Now that we have the denominator of our fraction (total area), lets go back to our questions.

We need to find

The area of the equilateral triangle = 519.6152422706632

519.6152422706632/1039.23048454133 = .5

The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5

The area of the square = 200

200/1039.23048454133 = 0.19245008973

The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973

The area of the part of the circle that doesn't include the square: 114.159265

114.159265/1039.23048454133= 0.10984980396

The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396

The part of the rectangle that doesn't include the square, circle or triangle.

Area of triangle = 519.6152422706632

(The triangle contains the circle and square).

1039.23048454133- 519.6152422706632 = 519.61524227067

519.61524227067 /1039.23048454133 = 0.5

The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5

Hope this helped! Let me know if I made an errors, or if my answers are incorrect.

Answer:

x >2

Step-by-step explanation:

2x-3> 11 - 5x

Add 5x to each side

2x+5x-3> 11 - 5x+5x

7x -3 > 11

Add 3 to each side

7x-3+3 > 11+3

7x >14

Divide by 7

7x/7 > 14/7

x >2

Answer:

5

Step-by-step explanation:

there are 5 circle patches on the quilt

Answer:

y = G(x) = 6, when x = -4

y = G(x) = -2, when x = 3

Step-by-step explanation:

From the attached graph tracing the first point to the graph and then to x axis.

y = G(x) = 6

as shown on the attachment(by the thick line)

y = G(x) = 6, when x = -4

From the attached graph tracing the second point to the graph and then to x axis.

y = G(x) = -2

as shown on the attachment(by the thin line)

y = G(x) = -2, when x = 3

Step-by-step explanation:

f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8

g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4

Answer:

A

Step-by-step explanation:

If you put your function in a graphing calculator you will get (6,0)

Answer:

Hello!

____________________

Your answer would be (C).

Hope this helped you!

Answer:

Center : (-2, 7)

Radius : 6

Step-by-step explanation:

If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.

To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out

In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :

Answer and Explanation:

The given problem is a kind of a riddle. It is given that the total of two US coins is

30

cents.

One is not a nickel, But the other one can be a nickel=

5

cents. So, the first one coin is a quarter=

25

cents. Which gives the total

30

cents.

Therefore, the two coins are a nickel and a quarter.

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [- 1, 1 ] , thus

f(b) = f(1) = 5 ← from graph

f(a) = f(- 1) = - 5 ← from graph , thus

average rate of change = [tex]\frac{5-(-5)}{1-(-1)}[/tex] = [tex]\frac{10}{2}[/tex] = 5 → C

Answer:

4/5

Step-by-step explanation:

Two are white.

10 total marbles.

10 - 2

8 are not white.

8/10

Simplify or reduce.

⇒ 4/5

Answer:

Is it B?

Step-by-step explanation:

ab^2 + 2a^2b + 4a + 2b

ab(b+2a) +2(2a+b)

ab(b+2a) +2(b+2a)

(ab+2)(b+2a)

that's why ab+2 is the answer.

Answer:

HL, the two triangles both share a side and have right angles.

Step-by-step explanation:

Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. If, in two right triangles the hypotenuse and one leg are equal, then the triangles are congruent.

Answer:

x          |          y

− 2                − 6

− 1                − 3

0                    0

1                     3

2                    6

hope this helps!

The table of values for the equation y = 3x - 1, is attached.

x y

-2 -7

-1 -4

0 -1

1 2

2 5

3 8

Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.

We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.

To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.

We put all these values of y, for the corresponding value of x in the table. The completed table is attached.

Learn more about equations at

https://brainly.com/question/4344214

#SPJ2

Answer:

27.44 square cm

Step-by-step explanation:

If the length of parallelogram is a and b and angle between side a and b is [tex]\alpha[/tex].

Then area of parallelogram = [tex]a*b*sin(\alpha ) = ab sin(\alpha )[/tex]

Given side length 4 cm and 7 cm

angle between them = 100°

value of sin(100°) = 0.98

Thus, area of given parallelogram = 4*7*sin(100°) = 28*0.98 = 27.44

Thus, area of given parallelogram is 27.44 square cm.

Answer:

The expression equivalent to the given equation is -3x - 17

Step-by-step explanation:

4(x + 1) - 7(x + 3)

Distribute 4 to (x + 1) and distribute 7 to (x + 3).

4x + 4 - 7x - 21

Combine like terms.

-3x - 17

Answer:

I do not know for sure but i think it might be B.

Step-by-step explanation:

Im not the smartest so yeah hopefully that is the answer you are looking for tho :D