A number cube is rolled 14 times and the results are recorded in the table.

What, in simplest form, is the experimental probability that the number cube shows 4?
A. 0
B. 1/6
C. 2/7
D. 5/14

The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.

A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.

Given:

a = 3

y = [tex]\frac{20}{2}[/tex] cm = 10 cm

Solution:

from the equation [tex]y^{2} = 4ax[/tex]

[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]

putting x, 10 cm in the equation

[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]

thus, the depth of the mirror would be - 8.33 cm

Learn more about other problems of the parabola:

https://brainly.com/question/12793264

Answer:

It is 3/2, I got it right on my exam.

Step-by-step explanation:

Dilation is a transformation that allows you to resize an object. The dilation factor of the given point is 3/2.

Dilation is a transformation that allows you to resize an object. Dilation is a technique for making items bigger or smaller. This transformation yields a picture that is identical to the original shape. However, there is a size discrepancy in the form.

Given the dilation of the k around the origin as K = (2,4) → (3,6), therefore, the point k is dilated 1 unit to the right and 2 units upwards.

Let the dilation factor be represented by a, then,

2 × a = 3

a = 3/2

Similarly for the y-axis,

4 × a = 6

a = 6/4 = 3/2

Hence, the dilation factor of the given point is 3/2.

Learn more about Dilation:

https://brainly.com/question/13176891

#SPJ2

Answer:

-13 1/2 < -6/8

Step-by-step explanation:

*Any negative in either the numerator or denominator will make the entire fraction negative.

1/2  = .5

-13 1/2 = -13.5

-6/8 = -3/4

-3/4 = -0.75

-6/8 = -0.75

-13 1/2 = -13.5

Which means:

-13 1/2 < -6/8

Hope this helped.

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] \frac{6}{8} [/tex]

Is close to 0 (to positive) you can use a time line to determine which is a correct answer

Answer:

hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

S is the midpoint of QR.

⇒ RS = QS    

QR ⊥ PS

⇒ ∠RSP = ∠QSP = 90°

In ΔPSR & ΔPSQ,

Statement                     Reason

RS ≅ QS                       S is midpoint of QR

∠RSP ≅ ∠QSP              QR ⊥ PS

PS ≅ PS                         Reflexive property

ΔPSR ≅ ΔPSQ               Side Angle Side - S A S Congruent

PR≅  PQ                        CPCTC

Answer:

[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]

Answer:

it will take 5days to reach a total of 180meters

Step-by-step explanation:

80m+20+20+20+20+20

=180meters

=5days

Answer:

8 hours 10 minutes

I hope this answers your question

Answer: paul has been away from home for 7 hours and 50 minutes.

Step-by-step explanation:

Answer:

she baked 3 times as many cranberry than blueberry muffins

Step-by-step explanation:

i think that because 9×3=27

the amount of the cranberry muffins are 9

Answer:

wyatt

Step-by-step explanation:

4:30 mins is 270 seconds

Answer:

c) 21

Step-by-step explanation:

[tex] \sqrt{169} + \sqrt{64} [/tex]

13+8

answer is 21

Answer:

The cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.

Step-by-step explanation:

Given that Sayad bought a watch and sold to Dakshes at 10% profit, and Dakshes again sold it to Sahayata for $ 6,050 at 10% profit, to find the cost price of Dakshes and the cost price of Sayad the following calculations must be performed:

6,050 / 1.1 = X

5,500 = X

5,500 / 1.1 = X

5,000 = X

Therefore, the cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.

Answer:

B

Step-by-step explanation:

here we use trigonometric ratio involving soh,cah,toa

Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...

180 + 26 + 90 + x = 360

296 + x = 360

x = 360 - 296

x = 64

Answer:

try 14n

Step-by-step explanation:

Answer:

[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]

Please mark me as Brainliest

Answer:

A

Step-by-step explanation:

since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.

Answer:

Step-by-step explanation:

Use the property of 30°-60°-90° right triangle.

The ratio of sides:

Compare with the given:

Apply the property of 30-90-60 angle

So

Answer:

22 m/s

Step-by-step explanation:

Take the distance and divide by the time

1210 m/55s

22 m/s

Answer:

Step-by-step explanation:

[tex]speed = \frac{distantce}{time} \\ = \frac{1210m}{55s} \\ = 22m {s}^{ - 1} [/tex]

Answer:

m

Step-by-step explanation:

Answer:

Find the domain by finding where the equation is defined.

Interval Notation:

(−∞,−4)∪(−4,7)∪(7,∞)

Set-Builder Notation:

{x|x≠−4,7}

Step-by-step explanation:

Answer:

all real numbers except x=-4 or x = 7

Step-by-step explanation:

The domain is the numbers that x can take

We have restrictions for this problem

the denominator cannot be zero

x^2 -3x-28 cannot be zero

(x-7)(x+4) ≠ 0

x-7≠0  x+4≠0

x≠7 x≠-4

Otherwise all real numbers are valid

Step-by-step explanation:

The set of Natural numbers: {1, 2, 3, 4, 5, ...}

The set of Whole numbers: {0, 1, 2, 3, 4, 5, ...} ← it has the number 0

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

Answer:

The direction of a vector is the measure of the angle it makes with a horizontal line . tanθ=y2 − y1x2 − x1 , where (x1,y1) is the initial point and (x2,y2) is the terminal point. Example 2: Find the direction of the vector →PQ whose initial point P is at (2,3) and end point is at Q is at (5,8)

Answer:

10

Step-by-step explanation:

acellus

The period of the given graph is 10.

Use the concept of a period of function defined as:

One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.

In the given wave,

X-axis represents time

The Y- axis represents the amplitude of the curve

As we can see,

The first peak of this graph is located at x = 1 and the second peak is at,

x = 13

Since the period is the time interval between two consecutive peaks in a graph.

In this case, the time interval is 10.

Hence,

The period of the given graph is 10.

To learn more about period of a graph visit:

https://brainly.com/question/12682398

#SPJ4

Answer:

Step-by-step explanation:

We are looking for the probability that (-1.10 < z < -.36)

The z score for -1.10 = .13567 and

the z score for -.36 = .35942

To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

[tex]\large\boxed{C = 50^o}[/tex]

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

Answer:

(1, 0)

Step-by-step explanation:

x = -b / 2a

x = 2 / 2(1)

x = 2 / 2

x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = -1 + 1

y = 0

vértice: (1, 0)

9514 1404 393

Answer:

  (x -2)^2/16 +(y +2)^2/4 = 1

Step-by-step explanation:

The equation of an ellipse is ...

  ((x -h)/a)^2 +((y -k)/b)^2 = 1

where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.

Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...

  ((x -2)/4)^2 +((y +2)/2)^2 = 1

More conventionally, the denominators are multiplied out, so this is ...

  (x -2)^2/16 +(y +2)^2/4 = 1

Answer:

The measure of angle JKM is:

JKL - MKL = JKM

⇒80°-25°=55°

so measure of angle JKM is 55°

Step-by-step explanation:

Answer: -78 / 35

Step-by-step explanation:

Given

 2/5 + 3/7 + (-6/5) + (-13/7)

Combine terms that have the same denominator

= 2/5 + (-6/5) + 3/7 + (-13/7)

= -4/5 - 10/7

Convert denominator by Least Common Multiple (LCM)

= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)

= -28/35 - 50/35

= -78 / 35

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]

Answer:

4π inches

Step-by-step explanation:

Formula for finding length of arc AB = θ/360*2πr

Where,

Central angle (θ) = 120°

Radius (r) = 6 inches

Length of arc AB = 120/360*2*π*6

Length for arc AB = ⅓*12π

= 4π inches