Which best describes the sides of any trapezoid?


A.
All sides are the same length.


B.
Only one pair of sides is parallel.



C.
Both pairs of opposite sides are parallel.

The 70 represents the no of people in the line at the time when the ticket booth is opened.

Given that,

Based on the above information, the 70 shows that the number of people at the time when the ticket booth is opened.

Therefore, the other options are wrong.

Thus we can conclude that the 70 represents the no of people in the line at the time when the ticket booth is opened.

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Answer:

The probability that a ticket that is randomly chosen will award a larger prize is:

                        1/5=0.2

Step-by-step explanation:

Let A denote the event that the ticket is a winning ticket.

B denote the event that there is a larger prize.

A∩B denote the event that there is a larger prize on the winning ticket.

Let P denote the probability of an event.

Now according to the given information we have:

[tex]P(A)=\dfrac{6}{10}[/tex]

Also, [tex]P(B|A)=\dfrac{1}{3}[/tex]

Hence, we are asked to find: P(A∩B)

We know that:

[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}\\\\\\\dfrac{1}{3}=\dfrac{P(A\bigcap B)}{\dfrac{6}{10}}\\\\\\P(A\bigcap B)=\dfrac{1}{3}\times \dfrac{6}{10}\\\\P(A\bigcap B)=\dfrac{2}{10}=\dfrac{1}{5}=0.2[/tex]

            The probability is:

              1/5=0.2

The overall probability that a randomly chosen ticket will award a larger prize is 0.2, or 20%, obtained by multiplying the probability of drawing a winning ticket (0.6) with the probability of winning a larger prize if the ticket is a winner (0.333).

For the probability that a ticket randomly chosen will award a larger prize, given that 6 out of every 10 tickets are winners and of those, 1 out of every 3 is a larger prize.

First, we calculate the probability of drawing a winning ticket, which is 6/10 or 0.6.

Then we compute the probability of the winning ticket awarding a larger prize, which is 1/3 or approximately 0.333.

To find the overall probability of a randomly chosen ticket awarding a larger prize, we multiply these two probabilities together:

Overall probability = Probability of winning ticket×Probability of larger prize on winning ticket

Overall probability = 0.6 ×0.333

Overall probability ≈ 0.2

So, the probability that a ticket awards a larger prize is 0.2, or 20%.

Answer:

the answer is a parabola

Answer:

m(h)= 5.25h; 11.81

11.81 is the answer

The number of strawberries Sameer ate is 6.

Given that, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. The total number of calories in Sameer’s snack was 56.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, remaining calories=Total number of calories - Number of calories in plum

=56-32=24

Number of strawberries=24/4 =6

Therefore, the number of strawberries Sameer ate is 6.

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Answer:

kf(x)

Step-by-step explanation:

I got it right.

Answer:

Paul is 70 kg, John is 62 kg and David is 65 kg.

Step-by-step explanation:

Let x the mass for each person.

Paul = x

John is lighter than Paul, so John = x-8

David's mass is 5 kg less than John's, so David = x-5

Solution:

Make an equation.

x + (x-8) + (x-5) = 197

3x -13 = 197

3x = 197 + 13

3x= 210, then divide both side by 3, to get 70.

Do substitution to get a correct answer.

70+62+65= 197

197= 197

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the simplified form of the quantity of x plus 8, all over 4 − the quantity of x plus 5, all over 4

[tex]\frac{x+8}{4} -\frac{x+5}{4}[/tex]

To simplify the expression , we check the denominator.

When the denominators are same then we subtract the numerators, we put denominator only once

[tex]\frac{x+8-(x+5)}{4}[/tex]

Multiply negative inside the parenthesis and combine like terms

[tex]\frac{x+8-x-5}{4}[/tex]

[tex]\frac{3}{4}[/tex]

To round off or add zero to the calculated answer of 0.00001258 L and give a final answer with three significant figures, round up the last significant figure to 6.

In order to round off or add zero to the calculated answer and give a final answer with three significant figures, follow these steps:

To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following: For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.

To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following:

For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.

Answer:

B. [tex]12^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of angle U.

We have been given that measure of angle 's' is 30 degrees, so the measure of arc RT will be 2 times the measure of angle 's' as angle 's' is inscribed angle of arc RT.

[tex]\text{Measure of arc RT}=2\times 30^{\circ}[/tex]

[tex]\text{Measure of arc RT}=60^{\circ}[/tex]

We know that the measure of angle formed by intersecting secant and tangent outside a circle is half the difference of intercepted arcs.

Using Secant-tangent theorem, we can set an equation to find the measure of angle U as:

[tex]m\angle U=\frac{1}{2}\times (\text{Measure of arc RS}-\text{Measure of arc RT})[/tex]

Substituting the given values in above equation we will get,

[tex]m\angle U=\frac{1}{2}\times(84^{\circ}-60^{\circ})[/tex]

[tex]m\angle U=\frac{1}{2}\times(24^{\circ})[/tex]

[tex]m\angle U=12^{\circ}[/tex]

Therefore, the measure of angle U is 12 degrees and option B is the correct choice.

To cover 348 tiles when one bottle can cover 20 tiles, you divide 348 by 20 which equals 17.4, and then round up to 18 bottles since you can't buy a fraction of a bottle.

To determine how many bottles of paint are needed to cover 348 tiles when one bottle covers 20 tiles, you should divide the total number of tiles by the number of tiles that can be covered by one bottle. The calculation is as follows:

Divide 348 (the total number of tiles) by 20 (the number of tiles one bottle of paint can cover).

348 \/ 20 = 17.4

Since you can't buy a fraction of a bottle, you would need to round up to the next whole number. Therefore, you need 18 bottles of paint to cover all 348 tiles.

Answer:

29

Step-by-step explanation:

29 is only divisible by 1 and itself.