Which type of line of symmetry does the figure have?
​

Answer:

5 friends

Step-by-step explanation:

beacuse it costs $8.00 for himself and his brother, and he can only invite 5 friends because $30 - $8 is $22

so $22 divided by 4 is 5

Answer:

5

Step-by-step explanation:

You start with $30, and each ticket cost $4.

You have to buy AT LEAST 2 tickets for Brice (yourself in the story) and Brice's brother. That 30-8=22.

22/4=5 (without going over 22)

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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The commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960

Given that the commission rate is 6%

If the sales done is 33000 dollars then the commission received by the agent would be:

33000 * 0.06 = 1980

Now if the sale doubles we would have 33000 x 2

= 66000 dollars

then the commission received would be

66000 x 0.06

= $3960

Hence we would say that the commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960

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Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

Answer:

r ≈ 3

Step-by-step explanation:

Using the formula:

V = \(\pi r^{2} h\)

Rearrange to make r the formula:

r = \(\sqrt{\frac{V}{\pi h} }\)

r = \(\sqrt{\frac{282.6}{10\pi} }\)

r ≈ 2.99924

r ≈ 3

Answer: 5/12

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

We are going to change both number so they have the same denominators.

1/4x3/3= 3/12

2/3x4/4=8/12

Once we changed the number we are going to subtract the numbers.

8/12-3/12=5/12

We can't simplify 5/12 so the answer is 5/12.  

if the diameter of a tennis ball is 2.6 what is the circumference ​

we have that

the circumference is

C=Pi*D

we have

D=2.6 units

so

C=pi*2.6

C=2.6pi units ------> exact value

the approximate value is

C=3.14*2.6

C=8.16 units -----> approximate value

The formula for y in terms of x is y=160​/x^2.

We are given that;

y = 20 when t=4

And t = 8 when x = 2

Now,

To find the value of k by using the fact that y = 20 when t = 4:

20=k⋅4

k=5

Also, y=5t

Next, we use the fact that t is inversely proportional to the square of x. We can write:

t=x2k​

where k is a constant of proportionality. We can find the value of k by using the fact that t = 8 when x = 2:

8=22k​

k=32

Now we know that:

t=x232​

Substituting this into the equation for y:

y=5t=5⋅x232​=160​/x^2

Therefore, by proportions the answer will be y=160​/x^2.

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The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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Answer:

80

Step-by-step explanation:

180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80

Answer:

It takes 12 years

Step-by-step explanation:

Amount(A) = P(1+r(^t

A ==> 170x/100 = x(1+0.045)^t

1.7 = (1.045)^t

Apply ln on both side

ln(1.7) = ln(1.045)^t

ln(1.7) = tln(1.045)

t = ln(1.045)/ln(1.7)

t = 0.53062825106/0.04401688541

t = 12.05510672

t = 12 years

The time it would take any deposit to increase by 70% is 12 years.

The formula that would be used to determine the amount of time needed for a deposit to increase by 70% is:

t = In (FV/PV)  / In(1 + r)

Where:

t = In (1.7) / In(1.045)

t = 12 years

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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The interest that Jimmy's account has earned is $35.95.

Interest is the total increase in excess of the amount deposited in the account. Interest earned can be determined by subtracting the amount deposited from the current balance.

Interest = current balance - amount deposited

$3,485.95 - $3,450.00 = $35.95

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Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

1 cubic ft

Step-by-step explanation:

Volume = Length × width × height

= 1 × 1 × 1

= 1

Answer:

1 cubic ft

Step-by-step explanation:

Volume = l × w × h

= 1 × 1 × 1

= 1 cubic ft

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

2x

Step-by-step explanation:

Answer:

The value of the 5 in 50.89 is 100 times the value of the 5 in 261.58

Step-by-step explanation:

The 5 in 50.89 is in the 10's place

The 5 in 261.58 is in the 1/10's place

1/10(100) = 10

Answer:

1 and 1/3 yard

Step-by-step explanation:

200 divided by 150 is equal to 4 divided by 3

using a fraction calculator i did

4       3            1

-    /   -     =   1  -

1       1              3

Answer:

How many yards to make one dress?  = 1.33

Step-by-step explanation:

This is a ratio problem (fractions) used to solve an unknown.

if 200yds makes 150 dresses then let x (your unknown) be the yds needed  to make 1 dress.

200/150 = x/1

150*x = 200*1

150x = 200

150x/150 = 200/150

x = 200/150  

x = 1.33333

The length of the missing side in the four-sided shape is (x + 2).

To determine the length of the missing side in a four-sided shape with a given perimeter of (10x + 12) and known side lengths of (2x + 8), (3x - 3), and (4x + 5), we can use the fact that the sum of all side lengths in a quadrilateral equals its perimeter.

Let's denote the missing side length as S.

The perimeter of the quadrilateral is given as (10x + 12), so we can set up the equation:

(2x + 8) + (3x - 3) + (4x + 5) + S = (10x + 12)

Simplifying the equation:

2x + 8 + 3x - 3 + 4x + 5 + S = 10x + 12

Combining like terms:

9x + 10 + S = 10x + 12

Now, isolate the missing side length S:

S = 10x + 12 - (9x + 10)

S = 10x + 12 - 9x - 10

S = x + 2

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Answer:

1/6

Step-by-step explanation:

(3 1/3)/20=(10/3)×(1/20)=10/60=1/6

Answer:

C

Step-by-step explanation:

\( composite =cuboid + 3d \: triangle \\ = (l \times w \times h) + ( \frac{1}{2} \times b \times h \times w) \\ = (12 \times 5 \times 7) + ( \frac{1}{2} \times (15 - 12) \times 7\times 5) \\ = (12 \times 5 \times 7) + ( \frac{1}{2} \times 3 \times7 \times 5) \\ \)

The correct expression for finding the volume of the composite figure is 7×12×5 + (1/2)×3×7×5.

Correct option is (D).

Any three-dimensional solid's volume is the space it takes up. The shapes of these solids include cube, cuboid, cone, cylinder, and sphere.

As per the given diagram:

The dimensions of the composite figure are given.

Volume of the composite figure

= Volume of the cuboid + Volume of the triangular prism

= l×b×h + (1/2)×base×height×length

From the diagram:

= 12×7×5 + (1/2)×(15 - 12)×7×5

= 12×7×5 + (1/2)×3×7×5

= 7×12×5 + (1/2)×3×7×5

Hence, the correct expression for finding the volume of the composite figure is 7×12×5 + (1/2)×3×7×5.

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Answer:

121

Step-by-step explanation:

firstly you arrange the numbers in ascending order the number in the middle is considered to be the median

Answer:

Step-by-step explanation:

Volume formula:

Find r if V = 100 in³:

Answer:

Bassically the answer is asking what is the GCF of 36 and 54.

The facts/key words given are "biggest number" and "each kind in every tray"

The answer is 18.

Answer:759

Step-by-step explanation:

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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