The probability of spinning a 4 on a spinner is 0.125.If you spun 150 times approximately how many times would the spinner land on 4?

Answer:

B and D

Step-by-step explanation:

I think this is the answer

Answer:B

Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer

Answer:

  see below

Step-by-step explanation:

The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).

Shifting the function 2 units left does not change the domain.

Shifting the function 4 units up moves the range to [2, ∞).

Answer:

B. x > 3

Step-by-step explanation:

Well we first simplify the following inequality,

3(8 - 4x) < 6(x - 5)

Distribute

24 - 12x < 6x - 30

Communicative property

-6x

24 - 18x < -30

-24

-18x < -54

Divide -18x by both sides

Which flips the < to a >.

x > 3

Thus,

the answer is B. x > 3.

Hope this helps :)

Answer: w=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 solids cubes A, B, C and D have been made with the same material.

Since material is same density of the material (grams per cm³) will be same.

It shows that the weight of the cubes will vary in the ratio of their volumes.

Volume of cube A = 6³ = 216 cm³

Volume of cube B = 8³ = 512 cm³

Volume of cube C = 10³ = 1000 cm³

Volume of cube D = 12³ = 1728 cm³

Therefore, weights of these cubes will be in the same proportion.

Since, Volume of D = Volume of (A + B + C)

1728 = (216 + 512 + 1000)

1728 = 1728

Therefore, weights of A, B, C, D will be arranged in the same way to balance the plates of a scale.

On one side of the scale cubes A, B, and C should be placed and on the the other side of the scale cube D should be placed to balance the scale.

Answer:

(1.5,-3) and (4.5,-3)

Step-by-step explanation:

Answer:

5 < 10x – 3

Step-by-step explanation:

The inequality is 5 - 2x < 8x - 3.

5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.

3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.

5 < 10x – 3 is correct because 8x + 2x = 10x.

2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.

Answer:

C on edg

Step-by-step explanation:

Answer:

The x value of the point 1/4 the distance from point C to point D is -0.25

Step-by-step explanation:

The given information are;

The location of point C = (1, 2)

The location of point D = (-4, -2)

The point 1/4 from point C to point D is the point 3/4 from point D to point C

Which gives;

The coordinate at point D + 3/4× The difference between the coordinates of point C and point D

Which is (-4 + 3/4×(1 - (-4),  - 2 + 3/4×(2 - (-2))

Which gives;

(-4 + 3.75, -2 + 3)  and (-0.25, 1)

The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)

Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.

Answer:

[tex]24 units^2[/tex]

Step-by-step explanation:

Well we can divide the given polygon into smaller triangles.

The triangle on the upper right corner has a base of 4 units and a height of 3 units.

So we use the following formula,

[tex]\frac{b*h}{2}[/tex]

4*3 = 12

12 / 2 = 6 units^2

Now we can do the bottom triangle.

It has a base of 4 units and a height of 1 unit.

So 4*1 = 4

4 / 2 = 2 units^2

Now for the top left triangle.

It has a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

Now all we have is the middle part.

Its a triangle with a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

6 + 2 + 4 + 4 = 16 units^2

Thus,

after adding everything up the total area of the polygon is 16 units^2.

Hope this helps :)

Answer:

[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]

Step-by-step explanation:

The interior angle of a regular heptagon = = 900/7° = 128.57°

Therefore, angle DAB = 128.57°

The interior angle of the square = 90°

Therefore, angle DAC = 90°

Therefore, we have

angle DAB+ angle DAC + angle BAC = 360° (sum of angles at a point (A))

Angle BAC = 360° - angle DAB - angle DAC =  360° - 900/7° - 90° = 990/7°

Angle BAC = 141.43°

Expressing 141.43° as a common fraction gives;

[tex]141.43 ^{\circ}= \dfrac{990}{7} ^{\circ}=141\frac{3}{7} ^{\circ}[/tex]

[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]

 The degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex]

Given, A square and a regular heptagon are coplanar as shown in below figure attached.

We have find the exterior angle of BAC.

We know that, The formula that gives the interior angle measure for a regular polygon with any number of sides is,

[tex]\frac{180(n-2)}{n}[/tex]  where n is the number of sides.  

Since the heptagon has 7 no. of sides.

So regular heptagon's interior angle measures,

[tex]\frac{180(7-2)}{7}=128\frac{4}{7}[/tex]

Hence [tex]\angle A[/tex] will be[tex]128\frac{4}{7}[/tex] degrees.

We know that a square's interior angle is 90 degrees and a heptagon's interior angle is  128.57 degrees. We will subtract those from 360 degrees to find angle BAC.

[tex]\angle BAC = 360 - (\angle A + 90)\\[/tex]

[tex]\angle BAC = 360 - (128\frac{4}{7} + 90)\\\angle BAC=141\frac{3}{7} ^\circ[/tex]

Hence the degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex].

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Answer:

a]2.3 hrs

b]3.6hrs

Step-by-step explanation:

4hrs = 12 miles

x       =  7miles

4 x 7=28/12=2.3

4 x 11=44/12=3.6hrs

Answer:

Below in bold.

Step-by-step explanation:

His rate of walking =  12/4 = 3 miles per hour.

So the times for 7 and  11 miles are

(a)  7/3 = 2 1/3 hours.

(b) 11/3 = 3 2/3 hours.

Answer:

this. question is not clear please send clear question

We can conclude that -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have the following two functions -

y = -x

AND

y = x

Refer to the graphs attached for both the functions -

y = - x     and     y = x

The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.

We can conclude that -

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Answer:

10

Step-by-step explanation:

12 ÷ 1 1/5

Change to an improper fraction

12 ÷ ( 5*1+1)/5

12 ÷ 6/5

Copy dot flip

12 * 5/6

12/6 * 5

2*5

10

Answer:

10

Step-by-step explanation:

12 ÷ 1 1/5

Change into an improper fraction.

12 ÷ 6/5

Reciprocal and it becomes multiplication.

12 × 5/6

60/6

= 10

Answer:

(-15,3)

Step-by-step explanation:

Answer:

No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).

Step-by-step explanation:

This came right from Edg

Answer:

b

Step-by-step explanation:

you need to round 2.51 to 3 because it was the correct answer

Answer:

37

Step-by-step explanation:

Answer:

Average speed for the entire trip, both ways, is

                (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,

and we don't know how long it took him to get back.

We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.

-- 50 minutes is 5/6 of an hour.

-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.

-- The gift store is 5 miles from his house.

-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.

-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:

        Going:       5 miles

        Returning:  5 miles

        Total         10 miles

Time:

        Going:        50 minutes

        Returning:   25 minutes

        Total:          75 minutes  =  1.25 hours  

        Average speed for the whole trip =

                      (total distance) / (total time)

                  =      (10 miles)  /  (1.25 hours)

                  =       (10 / 1.25)  miles/hours

                  =          8 miles per hour

Step-by-step explanation:

Answer: B. $16.13

Step-by-step explanation:

Formula : Sum of n observations = Mean x n

Given, 82 seniors earned an average $26.75 per student, 74 juniors earned an average $12.25 per student, 96 sophomores earned an average $15.50 per student, and 99 freshmen earned an average $10.85 per student.

Total students = 82+74+96+99 =351

Sum of earnings of 82 seniors  = $26.75  x 82= $2193.5

Sum of earnings of 74 juniors  = $12.25 x 74 = $906.5

Sum of earnings of 96 sophomores  = $15.50  x 96 = $1488

Sum of earnings of 99 freshmen  =  $10.85 x 99 = $1074.15

Total earnings =  $2193.5  + $906.5+  $1488 +$1074.15

= $5662.15

Average collection = (Total earnings) ÷ (Total students )

= $5662.15÷ 351

≈ $16.13

Hence, the  average collection for a student in this school = 16.31

So, the correct option is B.

Answer:

-0.704 (corrected to 3 significant figures).

Step-by-step explanation:

Standardized score = (actual score - mean) / standard deviation

Standardized score = (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

Standardized score = (actual score - mean) / standard deviation

= (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

A regular distribution is an association of facts set in which maximum values cluster in the center of the range and the relaxation taper off symmetrically in the direction of either intense.

Peak, beginning weight, studying potential, activity satisfaction, or SAT scores are only some examples of such variables. due to the fact that commonly distributed variables are so not unusual, many statistical checks are designed for commonly disbursed populations.

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Answer:

A.

Step-by-step explanation:

We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)

Then, replacing x by 3 on every option we get:

[tex]g(x)=(\frac{1}{3}x)^2= (\frac{1}{3}3)^2=1\\g(x)=(\frac{1}{9}x)^2= (\frac{1}{9}3)^2=\frac{1}{9}\\g(x)= \frac{1}{3}x^2= \frac{1}{3}3^2=3\\g(x)=3x^2=3*3^2=27[/tex]

So, the answer is A. because g(x) is equal to 1

Answer:

X=6/11

Step-by-step explanation:

8-(5x-2)=6-2(3x+1)

8-5x+2=6-6x-2

10-5x=4-6x

6=11x

x=6/11

Answer:

8-5x-2=6-6x+2

8-2-6-2=5x-6x

-10+8=-x

-2 =-x

x=2 ........×-1

x=2

Answer:

7.5kilometer

Step-by-step explanation:

for 30mins semin runs 5kilometer

then for 1min: (1min×5kilometer)÷30mins,

therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer

From the given information:

We are being informed that Samin can run for 5 kilometers in 30 minutes;

If Samin can run such a kilometer in 30 minutes;

5 kilometers = 30 minutes

∴

In x kilometers = 45 minutes

By cross multiplying;

(x × 30 minutes) = 5 kilometers × 45 minutes

30x = 225 kilometer/minutes

[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]

[tex]\mathbf{x = 7.5 \ kilometers}[/tex]

Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.

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Answer:

Length 1 - Width = 19, Area = 19

Length 2 - Width = 18, Area = 36

Length 3 - Width = 17, Area = 51

Length 4 - Width = 16, Area = 64

Length 5 - Width = 15, Area = 75

Step-by-step explanation:

Area Formula: A = lw

Since we only have a combined total of 20 m to use, we have to subtract the number of length in order to find length:

Length 1 = 20 - 1 = Width 19 m

Length 2 = 20 - 2 = Width 18 m

Length 3 = 20 - 3 = Width 17 m

Length 4 = 20 - 4 = Width 16 m

Length 5 = 20 - 5 = Width 15 m

Then we simply plug in our l values and w values into the area formula:

A = 1(19) = 19 m²

A = 2(18) = 36 m²

A = 3(17) = 51 m²

A = 4(16) = 64 m²

A = 5(15) = 75 m²

width from 1-5 =

when lem

length=1, width=19

length=2,width=18

length=3,width=17

length=4,width=16

length=5,width=15

length =1,Area=19

length=2,Area=36

length=3,area=51

length=4,area=64

length=5,area=75.

Step-by-step explanation:

to get our width, we minus each length from the given value which is 20m.

e.g.

when length =1 our width becomes 20-1=19.

and you do same for the rest.

the formula for the area was given to us in the question so we use that to find the area.

A=Length×Width.

e.g when length=1, width =19

so the area becomes 1×19=

[tex] {19m}^{2} [/tex]

please note that your area should be in

[tex] {m}^{2} [/tex]

Answer:

B. The Dress Shop.

Step-by-step explanation:

To find the best deal, we want to find the cost for one dress.

Lara's Boutique: $64 for 4 dresses.

x / 1 = 64 / 4

x = 64 / 4

x = $16 per dress.

The Dress Shop: $75 for 5 dresses.

x / 1 = 75 / 5

x = 75 / 5

x = $15 per dress.

Marge's Dresses: $160 for 8 dresses.

x / 1 = 160 / 8

x = 160 / 8

x = $20 per dress.

The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.

Hope this helps!

Answer:

[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]

Step-by-step explanation:

[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]

Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

See the answer in attachment

Answer:

(x-2)(x+1)(x+1)

Step-by-step explanation:

x³-3x-2=

(x-2)(x+1)(x+1)

Answer:

210 students

Step-by-step explanation:

The total number of students surveyed was

19+14+30+23+14 = 100

The fraction that picked Yosemite is 14/100

Multiply that fraction by the total number of students

1500* 14/100 = 210

Answer:

210 students

Step-by-step explanation:

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