probability pls hurry(13)

Answer:

Vertex form is

[tex]a(x - h) {}^{2} + k = y[/tex]

where (h,k) is the vertex

So our vertex form is

[tex]a(x - 3) {}^{2} + 5 = y[/tex]

It passes through (6,0) so we have

[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]

Solve for a.

[tex]a(3) {}^{2} + 5 = 0[/tex]

[tex]a(9) = - 5[/tex]

[tex]a = \frac{ - 5}{9} [/tex]

So our equation is

[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]

Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].

The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{590 - 510}{80}[/tex]

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16.

0.16 = 16% probability that a randomly selected score is greater than 590.

More can be learned about the normal distribution at https://brainly.com/question/24663213

The net payoff obtained during the game is $40. Option D is the correct answer.

The term "net payoff" describes the profit or loss realised from a transaction or operation after deducting all costs, charges, and taxes. It is determined by deducting the total cost of the activity or investment from the total income received. A gain is shown by a positive net reward, whereas a loss is indicated by a negative net payoff.

Given that, each round cost $20, and each win gives $50.

Now, for 3 rounds the total cost is:

$20 x 3 = $60

After winning the two round the win amount is:

$50 x 2 = $100

Now, the net payoff is:

$100 - $60 = $40.

Hence, the net payoff obtained during the game is $40. Option D is the correct answer.

Learn more about net payoff here:

https://brainly.com/question/31381562

#SPJ1

Answer:  C.0.0009378

Step-by-step explanation:

9.378E-5 is basically 9.378 x 10∧-5. Move the decimal to right 5 times.

Answer:

7x + 2y = −6

Step-by-step explanation:

Answer:

Domain: x <= 4

Step-by-step explanation:

The domain is all the x's on the graph or all the x's that can be used in the equation. see image for graph. The graph exists coming from negative infinity (the left side of the graph) and then stops at the point where x is 4. So x must be less than 4 or equal to 4.

Algebraically, if x is bigger than 4, you get a negative number inside the radical (the square root symbol) and that is not allowed. Again we find that x has to be less than or equal to 4.

Now

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]

[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]

[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]

The length of the extension ladder that is against the outside wall of the house is 22.58 feet.

When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.

To find the length of the ladder, Sin would be used:

Sin = opposite / hypotenuse

Sin 77 = 22 / h

h = 22 / 0.9743 = 22.58 feet

To learn more about trigonometry, please check: https://brainly.com/question/22782564

#SPJ2

Answer:

Step-by-step explanation:

Assuming the s is a typo the answer to this system is x=7/15 and y=17/15

Answer:

we know the trapezoids are similar, so that means all sides are at a ratio, thus

that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.

so for the large trapezoid

EF = 6 * 12 =... 72

EH = 4 * 12 =.. 48

HG = 3 * 12 = ..36

GF = 3 * 12 =...36

72+48+36+36 = 192.

Step-by-step explanation:

Answer:

X, to the nearest tenth would be 27.

Step-by-step explanation:

Sin(theta) = adjacent/hypotenuse

Sin64 = x/30

X = sin64 x 30

X= 26.963…

Answer:

x(x-2)

Step-by-step explanation:

x^2−2x

Factor out an x

x(x-2)

This is not a special product

Answer:

Step-by-step explanation:

This are 3 triangles

One big one, that is divided into 2

 Of the 2 triangles one is smaller than the other

So

inside the big trangle we have:

Small triange (Small side = 8/ Median side = y /large side =12

Median triangle(small side = y/ Median side = x/ Large side = z

             And then the 2 triangles make a big  triangle:

Large triangle (small side=12/ Median side= z/  Large side = 8+x

Answer:

Step-by-step explanation:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex]15²

A = [tex]\pi[/tex]225

ok well- what time do you need it to be answered by?

Answer:69/56 that is your answer did it help

Answer:

The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)

Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

a. False; if b is negative, then -b is positive, so

a - b = a + (-b)

is the sum of two positive numbers, which must be positive.

b. True; the sum of two negative numbers is again negative.

c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)

d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)

Answer: 90 dergrees

Step-by-step explanation: 90 dergrees

Answer:

75%

Step-by-step explanation:

75% of 200 is 150

Answer:

75% since [tex]50 + 50 + 50 = 150[/tex] which is [tex]3[/tex] quarters of [tex]200[/tex]

Please mark brainliest.

Answer:

4.7m

Step-by-step explanation:

35/7.5

=4.7m

Am sure am correct

Answer:

[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

Answer:

M < 1=180

M<2=90

M<3=90

Step-by-step explanation:

M 2 and 3 are both right angles and m1 is a obtuse  angle

Answer:

The answer would be (2,3) or you can find the answer in desmos

Step-by-step explanation:

You can input the coordinates in Desmos graphing calculator for the graph

Answer:

Step-by-step explanation:

Answer:

L < 5.25yd

Step-by-step explanation:

We can think of Mrs. Klein's composting area as a rectangle, and the formula for finding the area of a rectangle is Base * Height = Area (B*H=A)

Let's just say for the sake of solving the problem that they say that area of the garden had to be exaclty 6 square feet. Because the area must be 6sqft (sqyd = square yards) then we can enter 6 into our formula.

B*H=A now equals B*H=6

They also tell us that the width (which is a stand-in for height) is [tex]1\frac{1}{7}[/tex] so we can enter that in our formula as well

B*H=6 now is [tex]B*1\frac{1}{7} =6[/tex] and now we just have one unknown... the B (base)

And since [tex]B*1\frac{1}{7} =6[/tex] then [tex]6/1\frac{1}{7} =B[/tex]

Thus,

[tex]6yd / 1\frac{1}{7} = 5.25yd[/tex]

And because the question said that the area must be less then 6sqyd, then the length can be anything less then 5.25yd.

Thus,

L < 2.25

Hope that helped... Chow!

Answer:

Step-by-step explanation:

Answer:

- 2

Step-by-step explanation:

Slope, m = (y1-y2)/(x1-x2)

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

Sloep:-

Answer:

Step-by-step explanation:

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.