It's after sunset, but Fatima notices that she still has a shadow. She's standing in front of a streetlight that is 12 feet tall. Remember, Fatima is 5 feet tall. If Fatima is standing 9 feet in front of the streetlight, how long is her shadow?

Solution :

Given that there is only one set which can contain all the five correct answers. While guessing that I am likely to choose only one sequence of the answers as another, then the probability of getting all the five answers correct  is given by :

Given : X [tex]\sim[/tex] binomial [tex]$\left( 5 , \frac{1}{3} \right)$[/tex]

P (X = 5)

[tex]$= \ ^5C_5\left({\frac{1}{3}\right)^5\left(\frac{2}{3}\right)^0$[/tex]

= 0.00412

Thus the probability is 0.00412

9514 1404 393

Answer:

  12

Step-by-step explanation:

The square can be completed by adding and subtracting the square of half the linear term's coefficient.

  f(x) = x^2 -8x +(-8/2)^2 +28 -(-8/2)^2

  f(x) = (x^2 -8x +16) +(28 -16)

  f(x) = (x -4)^2 +12

The minimum value of the function is 12, when the squared term is zero.

Answer:

2/52

Step-by-step explanation:

If he took one ace out of 52 cards then it would have been 4/52

but as he's taking 2 aces out of 52 cards it is 2/52

Answer:

[tex]P(AA) =\frac{1}{221}[/tex]

Step-by-step explanation:

Deck contains = 52 cards

Deck contains = 4 Aces

Probability of choosing ace first time

                                                        [tex]= \frac{4}{52}[/tex]

Probability of choosing ace again without replacement

                                                                                 [tex]=\frac{3}{51}[/tex]

Probability of 2 aces without replacement

                                                               [tex]=\frac{4}{52} \times \frac{3}{51}\\\\=\frac{1}{13} \times \frac{1}{17}\\\\=\frac{1}{221}[/tex]

As it is right angled, thus it will be equal to 90.

= 2x + 5 + x + 25 = 90

= 3x + 30 = 90

= 3x = 60

= x = 60/3

= x = 20

Answer:

x = 20°

Step-by-step explanation:

[tex]2x + 5 + x + 25 = 90 \\ 3x + 30 = 90 \\ 3x = 90 - 30 \\ 3x = 60 \\ x = \frac{60}{3} \\ x = 20 \\ [/tex]

ZOSP= PSQ and

ZPSQ E ZOSR

Answer:

B. looks like the best answer that fits this question.

If i'm wrong then my fault.

Step-by-step explanation:

When looking at choice (B) you can see it started at a decreasing point but slowly growing. Exponential relations are images or equations that describe growth and they always have the same function. If you look at the other choices you see that they either increase but then decrease or they don't match the formula for (exponential relations).

That's as good as I can do I dont knw if this what ur teacher is looking for but I tried :/

Answer:

New functinon is g(x) = (1/32)x^5

Step-by-step explanation:

If you horizontally stretch the quadratic parent function, f(x) = x^2, by a factor

of 5, the equation of the new function will be g(x) = (x/5)^2, or g(x) =  (1/32)x^5

Answer:

Hello! answer: y = 60

Step-by-step explanation:

Hope that helps!

Answer:

D) 60°

Step-by-step explanation:

If you look at the triangle, you could see that all the angles and sides are congruent.  Vertical angles, or opposite angles. You could find the value of y, by looking at the other angles and sides and comparing them.

Hope this helps!

Note:

Pls notify me if my answer is incorrect, for the other users that will see this response. Thank you.

-kiniwih426

Answer:

−(−4y−2+sin2(x))=0

Step-by-step explanation:

Answer:

y= -6/7

Step-by-step explanation:

.............. I did it, trust me

Answer:

C

Step-by-step explanation:

In the function y = -2x -2, the -2x determines where the point will intersect the x-axis and -2 determines what the graph is moving by (going down in this case).

Answer:

Step-by-step explanation:

the equation is 8 cause 10 equals 8

Answer:

[tex]x = 9.69in [/tex]

[tex]x = 9.7in[/tex]

[tex]x = 9.7in[/tex]

Answer:

13

Step-by-step explanation:

pythagorean theorm calculator

enter the values for each leg

Answer:

The answer is A

Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.

Answer:

$101

Step-by-step explanation:

Given

[tex]y = 8.50x + 33[/tex]

[tex]x \to[/tex] age above 40

Required

Insurance for 48 years old

First, we solve for x

[tex]x = 48 - 40[/tex]

[tex]x = 8[/tex]

So, we have:

[tex]y = 8.50x + 33[/tex]

[tex]y = 8.50 * 8 + 33[/tex]

[tex]y = 68 + 33[/tex]

[tex]y = 101[/tex]

Answer:

x = 40

3x=120

x+40 = 120

Step-by-step explanation:

The angles are vertical angles which means they are equal

3x= x+80

Subtract x from each side

3x-x =x+80-x

2x = 80

Divide by 2

2x/2 = 80/2

x = 40

3x = 3(40) =120

x+80 = 40+80 = 120

Answer:

375 divided by 3= x. 375/3= 125, the cube root is 5. X=5

Step-by-step explanation:

hope it helped

Answer:

1. 3x^3= 375  

2. =>x^3= 375/3

3. => x^3= 125

4. =>x^3=( 5)^3

5. =>x=5

Step-by-step explanation:

No explanation

Answer:

its c

Step-by-step explanation:

Answer:

0.00198079

Step-by-step explanation:

Answer:

A) -14 + 2n > 18

Step-by-step explanation:

inequality represents that - 14 more than twice a number is no less than 18.

Step-by-step explanation:

The volume of a hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

Taking differentiation,

[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]

So,

[tex]dV=2\pi r^2\times dr[/tex]

Put r = 21 m and dr = 0.03 cm = 0.0003 m

[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]

Hence, this is the required solution.

Answer:

[tex]v = \pi \: r {}^{2} \: \frac{h}{3} \: = \: 3.14 \times \: 2 {}^{2} \times \frac{9}{3} = 37.68[/tex]

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=4/y

do cross multiplication

y=4*2

y=8

Answer:

C = 16pi

Step-by-step explanation:

C = 2*pi*r  where r =8

C =2*pi*8

C = 16pi

Answer:

[tex]c = 16\pi[/tex]

Step-by-step explanation:

1: Substitute:

[tex]c = 2\pi \: r \\ r = 8 \\ c = 2\pi \times 8[/tex]

2: Solve the equation:

[tex]c = 2\pi \times 8[/tex]

Calculate:

[tex]c = 16\pi[/tex]

Answer:

x = 110

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

x = 110

Answer:

110°

Step-by-step explanation:

Alternate exterior angles are congruent

Answer:

Area = 96 square m

Step-by-step explanation:

[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]

Answer:

The area of parallelogram is 96 m ².

Step-by-step explanation:

According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.

Using Formula

Area of parallelogram = Base × Height

Substitute the values into this formula

Area of parallelogram = 12 m × 8 m

multiply, we get

Area of parallelogram = 96 m²

Therefore, The area of parallelogram is 96 m ².

Answer:

The answer is "Option 2".

Step-by-step explanation:

Please find the complete question in the attached file.

When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.