What is the area of the figure ?

Answer:

0.9772 = 97.72% probability that the grade of a randomly selected students score is more than 60.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average grade for an exam is 74, and the standard deviation is 7.

This means that [tex]\mu = 74, \sigma = 7[/tex]

What is the probability that the grade of a randomly selected students score is more than 60?

This is 1 subtracted by the pvalue of Z when X = 60. So

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

[tex]Z = \frac{60 - 74}{7}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that the grade of a randomly selected students score is more than 60.

Answer:

Step-by-step explanation:

Answer:

A=28.3

or you can write it as a fraction....

28.3/1-283/10-

Step-by-step explanation:

A=2(wl+hl+hw)=2·(1·4.05+2·4.05+2·1)≈28.3

Answer:

13 edges

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2 ( F is faces, V is vertices and E is edges ) , then

5 + 10 - E = 2

15 - E = 2 ( subtract 2 from both sides )

13 - E = 0 ( add E to both sides )

13 = E

The polyhedron has 13 edges

Answer:

x = 5

Step-by-step explanation:

im too tired to explain just trust me

(5) + 2 = 7

2(5) + 3 = 13

13 * 7 = 91

Step-by-step explanation:

Given area = 91m²

length = 2x+3 m

breadth = x +2 m

we know,

Area = length x breadth

91 = (2x+3) x (x+2)

91 = 2x² + 4x + 3x + 6

91 = 2x² + 7x + 6

2x² + 7x - 85 = 0

(2x+17)(x−5)=0

2x+17=0 or x−5=0

x=−17/2 or x=5

Answer:

So, 0,1,2,3,….,10 are called whole numbers. So, 1 is the smallest natural number and 0 is the smallest whole number. But there is no largest whole number or natural number because each number has its successor.

The smallest whole number is 000

Step-by-step explanation:

Answer:

its A because the Y intercept is at 3

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

ok the diameter is 21 3/4ft i converted it to a decimal, 21.75ft so to get the radius i 21.75ft/2= 10.875ft

ok to continue

V=1/3(hπr²)

V=1/3(3.14*10.875ft)h

V=1/3(118.265625ft)

V=1/3(118.265625 ft)10.3ft

V=1275.62897 which rounded=1,275.63 ft3

9514 1404 393

Answer:

  C)  4

Step-by-step explanation:

We observe that the top segments are in the same 3:4 ratio as the bottom segments. This means they are the same lengths: 3x = 12, 4x = 16. Either of these equations tells us x = 4.

_____

Additional comment

In case you aren't convinced, you can solve this using the secant rule for segments and circles: the product of the lengths to the circle intercepts are the same for both secants.

  12(12 +16) = 3x(3x +4x)

  336 = 21x² . . . . . simplify

  16 = x² . . . . . . . . divide by 21

  4 = x . . . . . . . . . .positive square root

Answer:

i think its c

Step-by-step explanation:

Answer:

The simplest form of the function is f(x) = x2. The graph is a parabola often called the basic parabola. Notice that the graph is symmetrical about the y- axis. The y- axis is called the axis of symmetry of this function

Answer:

An =4^(n-1)

Step-by-step explanation:

hello :

the sequence is geometric because : (-64)/(-16) = (-16)/(-4)=-4/-1= 4=r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =4        A1 = 1

An =A1 × r^(n-1)

An =1 × 4^(n-1)=4^(n-1)

Step-by-step explanation:

If 5 was the radius, do 3.14 (5)^2 same thing as= 3.14 times 25

Which equals 78.5 (I rounded it also)

Let me know if it was correct!

Answer:

y=3,1*64^1,1/16

Step-by-step explanation:

The exponential equation will be written as, [tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"

It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that the graph of an exponential function passes through the points (1,1/16) and (3,1/64).

The values of a and b will be calculated as,

1/16 = ab

1/64 = ab³

1/64 = ab x b²

1/64 = 1 / 16 x b²

b = 1 / 2

a = 1 / 8

The exponential equation will be written as,

[tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].

Therefore, the exponential equation will be written as, [tex]y=(\dfrac{1}{8})(\dfrac{1}{2})^x[/tex].

To know more about an exponential expression follow

https://brainly.com/question/12940982

#SPJ2

Answer:

look at the attached image

Step-by-step explanation:

Answer:

The Sum of 2 Numbers is 17 & Their Product is 70. Find the Numbers -

Step-by-step explanation:

The Factors of 70 are - 1, 2, 5, 7, 10, 14, 35 & 70

Now, Find the two Factors, when added gives the Sum as 10 & the Product of Multiplication as 17 -

From the given Statement, we can see that when the Factors 7 & 10, when Added gives the Sum as 17 and Their Product as 70 *(7 + 10 = 17 ; 7 × 10 = 70)

Therefore, the two Numbers are 7 & 10

Answer:

12 ft

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 41.5°

Opposite = 8 ft

Length of handrail =?

We can obtain the length of the handrail by calculating the Hypothenus. This can be obtained as follow:

Angle θ = 41.5°

Opposite = 8 ft

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 41.5 = 8 / Hypothenus

0.6626 = 8 / Hypothenus

Cross multiply

0.6626 × Hypothenus = 8

Divide both side by 0.6626

Hypothenus = 8 / 0.6626

Hypothenus = 12 ft

Thus, the Lenght of the handrail is 12 ft

Answer:

Yes

Step-by-step explanation:

a^2+b^2=c^2 is for right triangle so

6^2+8^2=10^2

36+64=100

100=100

so it's a right triangle

9514 1404 393

Answer:

  24.8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(29°) = 12/x . . . . . . . . . . . use given values

  x = 12/sin(29°) ≈ 24.752 . . .multiply by x/sin(29°)

  x ≈ 24.8

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

when an reflected across the y axis only the x value changes and it changes negatively

Answer:

yes

Step-by-step explanation:

Negatives cannot be broken down and pie is 3.14 therfore the 2nd and 3rd are correct

Answer:

22 minutes to 7

Step-by-step explanation:

short hand is near 7

Answer: 22 minutes to 7

Answer:

here is only one line of symmetry

Answer:

There are 3 lines of symmetry.

Step-by-step explanation:

There is one in the middle going vertically and horizontally, and there is one going diagonal.

Hope this helped!!

Answer:

Step-by-step explanation:

Since its isosceles right triangle, then 2 sides are going to be the same. There are 2 legs that are in any triangle, they give us 1 leg so now we know what the other leg is. Now the formula for finding hypotenuse is a2+b2=c2.

[tex]3^{2}+3x^{2} =c^{2}[/tex]     3 squared is 9, so 9+9=18

now we have c but we arent done so now we find the square root, [tex]\sqrt{18}[/tex]. Which is [tex]3\sqrt{2}[/tex] or 4.24.

Answer:

he deduct the amount of the total UN-reimbursed allowable in (Blank) Year

Step-by-step explanation:

I think this is right but i.dk he (AGI) so its undetermined

Answer:

Option A

Step-by-step explanation:

Y is the amount of back pack

The total amount is represented by m

If Y is the cost of back pack purchased by Oliver, then 0.7 Y is the tax applicable on the purchase of back pack

Hence, the remaining cost would be total amount with Oliver minus the cost of back pack and the tax applicable on the purchase of back pack

Remaining cost  = m - (y + 0.07y)

Hence, option A is correct

Answer:

46.75 dollars

Step-by-step explanation:

If the jeans are on sale for 45% off, then they will cost 55% of the original price (100%-45%=55%).

Therefore, the sale price is:

85×55%

Change % into a decimal

= 85×0.55

= 46.75

Therefore, the sale price of the jeans is 46.75 dollars.

I hope this helps!

Answer:

I think 180

Step-by-step explanation:

A= a+b/h = 10+20/2 = 60

A=bxh = 6x20 = 120

120+60