Heather also buys 12 patio lights for $63. She estimates the cost of each light to be about $5.
She then calculates the actual cost of each light to be $2.40. Use the drop-down
boxes to explain whether her calculation is reasonable

Answer:

⅔

Step-by-step explanation:

Total females: 48

Female and invisibility: 32

P(invisibility/female) = 32/48

2/3

The probability that a female student chose invisibility as their superpower is 2/3

Probability determines the chance that an event would occur. The chance that an event would occur is between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

In this question, two groups of students were surveyed : male and female. Also, there were three groups of superpowers: fly, indivisibility and others.

The probability of a female student chose indivisibility as superpower = number of female students that chose indivisibility as superpower / number of female students

= 32/48

To simplify, divide both numerator and the denominator by 18

= 2/3

To learn more about probability, please check: https://brainly.com/question/9793303?referrer=searchResults

Answer:

17

Step-by-step explanation:

4 1/4 - 2 5/6

These are mixed fractions

Step one

Convert mixed fraction to improper fraction

4 1/4 = [(4×4)+1]/4=(16+1)/4=17/4

2 5/6 = [(2×6)+5]/6=(12+5)/6=17/6

Step 2

Difference between 17/4 and 17/6

Find the lowest common multiples of the denominators of both fractions

Multiples of 4

4×1=4

4×2=8

4×3=12

Multiples of 6

6×1=6

6×2=12

The lowest common multiple(LCM) of 4 and 6 is 12

Step 3

Multiply each fraction by the LCM , 12

[(17/4)×12] - [(17/6)×12]=51-34=17

Answer:

k = 3

Step-by-step explanation:

The two triangles are congruent;

Triangle EFD is and enlargement of triangle QRP by scale factor 2;

So we can get side RP (k) by halving FD.

Answer:

x² - 5x - 36 = 0

(x - 9)(x + 4) = 0

x = 9 is the positive solution.

Final answer:

The area of a regular hexagon with an apothem of 15 cm is approximately 1166.55 cm².

Explanation:

The area of a regular hexagon can be found by using the formula:

Area = (3 x apothem x side length) / 2

In this case, the apothem is given as 15 cm. We need to find the side length to calculate the area. The side length can be found using the formula:

side length = 2 x apothem / tan(180° / 6)

Using a calculator, we can find that the side length is approximately 25.98 cm. Plugging in the values into the area formula, we get:

Area = (3 x 15 cm x 25.98 cm) / 2 = 1166.55 cm²

Answer:

the answer is C.62

Step-by-step explanation:

have a great day

Answer:

THE ANSWER IS 62IN^2

Step-by-step explanation:

BECAUSE I HAVE PROOF

Answer:

$205

Step-by-step explanation:

To solve this problem, we need to multiply $2,560 by 8%. Don't forget to change 8% into its decimal form (8% -> .08).

2,560 x .08 = 204.8

Fran budgets $205 dollars for groceries each month.

Answer:

-7 =x

Step-by-step explanation:

−30=5(x+1)

Divide each side by 5

−30/5=5/5 (x+1)

-6 = x+1

Subtract 1 from each side

-6-1 = x+1-1

-7 =x

Answer: x=-7

Step-by-step explanation:

-30=5(x+1)

multiply the brackets

-30=5x+5

take away 5x from both sides of the equation

-30-5x=5

add 30 to both sides

-5x=35

divide both sides by -5

x=-7

Answer:

9

Step-by-step explanation:

just subtract 16 from 25

Answer:

The absolute error is 0.2

The percent error is 1.45

Step-by-step explanation:

Please kindly check the attached for explanation

The absolute error of the police officer's estimate is 0.2, and the percent error is approximately 1.5%

In Mathematics, absolute error is determined by the absolute value of the difference between the estimated value and the actual value. Therefore, the absolute error in this case is |14 - 13.8| = 0.2.

Percent error, on the other hand, is calculated by first finding the absolute error, then dividing the absolute error by the actual measurement, and finally multiplying the result by 100% to turn it into a percentage. So in this case, the percent error is given by (0.2 / 13.8) * 100 = 1.45%. Since we should round it off to the nearest tenths, the percent error will be roughly 1.5%.

https://brainly.com/question/31825365

#SPJ3

Answer: No.

Step-by-step explanation: Joe is 4'6" tall. Convert 54" to feet by dividing by 12. 54/12=4.5. Half of a foot is 6 inches.

Joe is 54 inches tall, which is taller than the kid zone's maximum allowed height of 52 inches (4 feet 4 inches). Therefore, he is not allowed to play in the kid zone area.

To determine if Joe is allowed to play in the kid zone area, we must compare his height to the maximum height allowed for the kid zone. The maximum height for the kid zone is 4 feet 4 inches, which needs to be converted to inches to compare easily with Joe's height.

First, we know that 1 foot equals 12 inches. So, 4 feet is equal to 4 x 12 inches, which is 48 inches. Adding the extra 4 inches from the height limit gives us 48 + 4 inches, which is 52 inches. This is the maximum height allowed for the kid zone.

Since Joe is 54 inches tall, which is greater than the maximum 52 inches, it means he is too tall to play in the kid zone. Therefore, he is not allowed to play there according to the height restriction.

Answer:

(24+36)×5 First you do whatever is in the parentheses first which would be 60. Next you would multiply it by 5 which is 5 days. It is 500. Joan sells 500 muffins and bagels in a day.

Answer: I'm sure it is 33

Answer:

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8  y must equal 40.

6:30 = 8:40

or

30/6= 5

Y/8= 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.

Answer:40

Step-by-step explanation:

6 times 5 is 30

so 8 times 5 = 40

Answer:

D is the right answer

Step-by-step explanation:

Answer:

32d

Step-by-step explanation:

-The students ride their bikes to and from school every day. The distance is thus;

[tex]d_t=2d[/tex]

-Taking that there are 5 school days per week and that it rains in one per week. the total number of days is:

[tex]Days=Days \ per \ week \times \ number \ of \ weeks\\\\=(5-1)\times 4\\\\=16\ days[/tex]

Now, we multiply the distance per day by the total number of days:

[tex]Distance, D=2d\times 16\\\\=32d[/tex]

Hence, the total distance in a 4-week period is expressed as 32d ( where d is the distance from home to school).

Mr Abbot's son mowed more of the lawn. In total, they mowed 19/28 or approximately 68% of the lawn. Hence, approximately 32% or 9/28 of the lawn still has to be mowed.

To find out who mowed more lawn and how much of the lawn is still left to be mowed, we need to compare the fractions and then add them together.

Mr. Abbot mowed 1/4 of his lawn and his son mowed 3/7 of it. To compare these fractions, you can turn them into decimals or percent by dividing the numerator (the top number) by the denominator (the bottom number). Doing that, we find Mr. Abbot mowed 0.25 (or 25%) of the lawn and his son mowed approximately 0.43 (or 43%) of the lawn. Therefore, the son has mowed more lawn.

To figure out how much lawn is still left to be mowed, we add up the fractions of the lawn that Mr. Abbot and his son mowed: [tex]1/4 + 3/7 = 7/28 + 12/28 = 19/28[/tex]. Thus, 19/28 of the lawn have been mowed, and to figure out what fraction is left, we subtract this number from 1 since 1 represents the whole or 100% of the lawn: [tex]1 - 19/28 = 9/28[/tex]. So, 9/28 of the lawn still needs to be mowed.

https://brainly.com/question/33564650

#SPJ2

Answer:

[tex]3\sqrt{7}[/tex]

Step-by-step explanation:

Step 1:  Simplify

[tex]\sqrt{63}[/tex]

[tex]\sqrt{3^2 * 7}[/tex]

[tex]3\sqrt{7}[/tex]

Answer:  [tex]3\sqrt{7}[/tex]

Answer:

7.94 0r 3 square root of 7

Step-by-step explanation:

The square root of 63 is 7.9372539331937717715048472609178. If you round it to two places it is 7.94. In radical form it is 3 square root of 7.

Answer: 8(4p + 3)

Step-by-step explanation: Let's first rewrite this as 32p + 24.

If you're asked to factor a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor between 32p and 24?

Well if you use a factor tree, you'll figure out that the greatest common factor between 32p and 24 is 8.

What that means is that 2 factors out of this polynomial and what you're left with is each of these terms divided by the number that factors out.

In other words 32p divided by 8 or 4p and 24 divided by 8 which is 3.

So your answer is 8(4p + 3) and that is a factored version of 24 + 32p.

Answer:

8(4p + 3)

Step-by-step explanation:

Answer:

All of the numbers are solutions.

Step-by-step explanation:

Step 1:  Solve for x in the first equation

[tex]3x - 1 + 1 > 8 + 1[/tex]

[tex]3x / 3 > 9 / 3[/tex]

[tex]x > 3[/tex]

Step 2:  Solve for x in the second equation

[tex]7 - x - 7 > 3 - 7[/tex]

[tex]-x / -1 > -4 / -1[/tex]

Since you divided by a negative, you must flip the sign.

[tex]x < 4[/tex]

Step 3:  Find the number

x > 3 and x < 4

Answer: All of the numbers are solutions.

Answer:

64 cups

Step-by-step explanation:

16 quarts ; 1 quart = 4 cups ; 16*4=64

Answer:

1 quart = 4 cups

Therefore 16 quarts = 16 * 4 cups or

64 cups.

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Its the same because its basically just like stacking the same shape over and over to make a prism

Answer:

answer is B your welcome:)

Step-by-step explanation:

Answer:

-9-x=13.3

Step-by-step explanation:

x=4.3

-9-x=

-9-4.3=-13.3

Answer:

D

Step-by-step explanation:

[tex]\frac{5}{6}[/tex]÷[tex]\frac{1}{5}[/tex]

Keep, change, flip.

So, [tex]\frac{5}{6}[/tex] stays the same.

The division sign changes to multiplication.

[tex]\frac{1}{5}[/tex] changes to 5.

So now you have

[tex]\frac{5}{6}[/tex]×[tex]\frac{5}{1}[/tex]= [tex]\frac{25}{6}[/tex]

6·4=24

25-24=1

D= [tex]4\frac{1}{6}[/tex]

Answer:

The correct answer is D. Brainliest plz. I am trying to level up and only have 2 out of the 5 needed. Thanks! Have a good day

Answer:

384 square cm

Step-by-step explanation:

Fabric used will be equal to the total surface of the cubical block.

[tex]fabric \: used \\ = 6 {side}^{2} \\ = 6 \times {8}^{2} \\ = 6 \times 64 \\ = 384 \: {cm}^{2} \\ [/tex]

Hope this will help u...:)

Look at the attached picture...!!

Answer:

Fig. 1 has less surface area than Fig. 2, but both figures have the same volume.

Step-by-step explanation:

The formulas for the surface area and volume are equal to:

[tex]A_{s} = n_{s} \cdot l^{2}[/tex]

[tex]V = n_{v}\cdot l^{3}[/tex]

Where:

[tex]n_{s}[/tex] - Number of faces.

[tex]n_{v}[/tex] - Number of cubes.

[tex]l[/tex] - Length of a cube side.

Surface Area

Fig. 1 has 34 faces, whereas Fig. 2 has 36 faces. The surface area are, respectively:

Fig. 1

[tex]A_{s} = 34\cdot (1\,u)^{2}[/tex]

[tex]A_{s} = 34\,u^{2}[/tex]

Fig. 2

[tex]A_{s} = 36\cdot (1\,u)^{2}[/tex]

[tex]A_{s} = 36\cdot u^{2}[/tex]

Fig. 2 has more surface area than Fig. 1

Volume

Fig. 1 has 9 cubes, whereas Fig. 2 has 9 cubes.

Fig. 1

[tex]V = 9\cdot (1\,u^{3})[/tex]

[tex]V = 9\,u^{3}[/tex]

Fig. 2

[tex]V = 9\cdot (1\,u^{3})[/tex]

[tex]V = 9\,u^{3}[/tex]

Both have the same volume.

Answer:

The two figures have equal volume, but different surface areas.

Step-by-step explanation:

Since the small cubes are congruent with side length of 1 unit, the area of its surfaces is 1 squared unit.

For fig 1, the surface area = number of faces × 1 squared unit

                                          = 34 ×1 squared unit

                                          = 34 squared unit

For fig 2, the surface area = number of faces × 1 squared unit

                                           = 38 ×  1 squared unit

                                           = 38 squared unit

The volume of a cube = 1 cube unit

For fig 1, volume  = number of cubes ×1 cube unit

                                  = 9 × 1 cube unit

                                 = 9 cube unit

For fig 2, volume = number of cubes ×1 cube unit

                            = 9 × 1 cube unit

                           = 9 cube unit

Answer:

B. x=2

Step-by-step explanation:

The formula to find the axis of symmetry is -b/2a.

So, in this case, we find our b and a, which are 3 and -12.

Plug them into the formula.

-(-12)/2(3)

The negative sign times another negative makes it into a positive, now we have a positive 12 and then 2 multiplied by 3 equals 6.

Our new equation is 12/6.

Then, simply solve it, 12 divided by 6 equals 2.

Therefore, B would be your answer, x=2.

The axis of symmetry of the parabola defined by the equation y = 3x^2 - 12x + 11 is x = 2.

To find the axis of symmetry of the parabola defined by the equation y = 3x2 - 12x + 11,

we can use the formula for the axis of symmetry for a parabola in standard form which is x = -b/2a.

In this equation, a is the coefficient of x2, which is 3, and b is the coefficient of x, which is -12.

Plugging the values into the formula, we get x = -(-12)/(2*3) = 12/6 = 2.

Therefore, the axis of symmetry of the given parabola is x = 2.