Which of the following is the most appropriate unit to describe the rate at which a person reads?

Let's break down this problem step by step.

First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.

The total number of ducks in the pond is 73.

Out of these 73 ducks:

- 5 are marked for a large prize,

- 11 are marked for a medium prize,

- 24 are marked for a small prize.

We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.

Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.

The total number of outcomes is just the total number of ducks you can choose from, which is 73.

The probability (P) of winning a medium prize is then:

P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)

= 11/73

To convert this fraction to a decimal, simply divide 11 by 73:

= 11 ÷ 73

≈ 0.1507 (rounded to the nearest thousandth)

So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.

The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150

To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.

The total number of ducks in the pond is given as 73.

The number of medium-prize-winning ducks is given as 11.

Therefore, the probability can be calculated as follows:

Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)

Probability of winning a medium prize = 11 / 73

To express the answer as a decimal, we divide 11 by 73:

Probability of winning a medium prize ≈ 0.150

Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150

To better understand how to find theoretical probability of winning medium prize at the duck pond:

https://brainly.com/question/1369541

Answer:

Classify the quadrilateral using the name that best describes it.

A) Parallelogram

B) Rectangle

C) Square

D) Trapezoid

Step-by-step explanation:

Answer::

Answer:

QRST is a rectangle.

Step-by-step explanation:

To decide whether this is a rectangle or not, we have the following options to choose from:

Prove that:

2 pairs of sides are parallel and one angle is 90°

2 pairs of opposite sides are equal and one angle is 90°

1 pair of sides is parallel and equal and one angle is 90°

All four angles are 90°

The diagonals are equal and bisect each other. (same midpoint)

I will go with option 1, because this only requires finding the slope of each of the 4 lines.

Note that:

points Q and R have the same

y

value

⇔

horizontal line

points S and T have the same

y

value

⇔

horizontal line

points Q and T have the same

x

value

⇔

vertical line

points R and S have the same

x

value

⇔

vertical line

Therefore QRST has to be a rectangle because horizontal and vertical lines meet at 90°.

The opposite sides are therefore parallel and equal and the angles are 90°

The anwser is that a....

QRST  is a rectangle

Assign the numbers to the number line in the following order:

2.15=2.15

220%=2.2

9/4=2.25

*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:

2.15, 2.2, 2.25

Answer:

LMK is 30  

Step-by-step explanation:

inside the triangle, the LMN is the equation 3x=90degrees

under the KN is 4x

on the left is 150dgrees = 5x

3x+4x+5x=360

add the x's together

12x=360

divide

x=30

LMK= 150-90/2=60/2=30

5 × 3 × 4 = 120 units³

now

120×2 = 240units³

Answer:

120×2 = 240units³ =)

Step-by-step explanation:

Answer:

65 years old.

Step-by-step explanation:

Define the variables:

Given:

Create two equations with the given information and defined variables:

\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)

Substitute the first equation into the second equation and solve for x:

\(\implies 13x+1=11(x+1)\)

\(\implies 13x+1=11x+11\)

\(\implies 2x=10\)

\(\implies x=5\)

Substitute the found value of x into the first equation and solve for y:

\(\implies y=13(5)\)

\(\implies y=65\)

Therefore, the age of the grandparent now is 65 years.

Given statements:

Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.

    \(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)

Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.

To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.

Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.

Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.

To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:

But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.

Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.

Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.

Therefore, the age of the grandparent is 65 years.

Answer:

Step-by-step explanation:

8x-4 >12

8x > 16

x >2

Answer choice R

Answer:

its D

12,455 + x = 23,894

x = 10,560

Step-by-step explanation:

Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:

10,205 + x = 23,894

To solve, we must isolate the variable by subtracting 12,455 from both sides:

10,205 + x = 23,894

-10,205        -10,205

x = 10,560

So, the second month's salary was $10,560

Step-by-step explanation:

Answer: x = $30,560

Step-by-step explanation:

1. Let the second month payment be x

2. The first month + The second month = both of the months

3. So substituting: 10,205 + x = 40,765

4. Subtract 10,205 from both sides: x = 30,560

Answer:

The answer is a.10 (the number is 10)

Answer:

do u still need help

Step-by-step explanation:

ANSWER: Penny will be able to catch up 20 minutes after pnny starts hiking on the trail.

Answer:

Penny will be able to catch up 20 minutes after Penny starts hiking on the trail.

Step-by-step explanation:

Answer:

1st one 8/20

Step-by-step explanation:

Answer: $125

Step-by-step explanation:

1/80=x/10,000

10,000/80=125

Hope this helped!

Answer:125 yen

Step-by-step explanation:
Ratio and proportion

Ratio=1:80=x:10,000

x represents dollars which is unknown

1/80=x/10,000

Then you cross multiply

80x=10,000

80x/80=10,000/80

x=125

Therefore,$125 will give you 10,000yen

Answer:

There was an 11% increase.

Step-by-step explanation:

The formula to find a percent increase is this: (original amount - new amount / original amount) * 100

If you fill in the formula, you get this:

(164,000 - 182,040 / 164,000) * 100

Solve:

(-18,040 / 164,000) * 100 ---> If the number being divided is negative, find the absolute value.

(18,040 / 164,000) * 100 =

0.11 * 100

11%

Answer:

B

Step-by-step explanation:

If you received 3x as more as the other candidate and he had about three times you would multiply 303 3 times.

Answer: The perimeter of crater lake is 17.27 miles.

Step-by-step explanation:

The shape of the lake is like a circle

The diameter of lake = d = 5.5 miles

∵ shape pf lake is circle, so the diameter of circle = d = 5.5 miles

Let The perimeter of crater lake = p miles

Now, As we know

The perimeter of circle = \pi × diameter

the value of \pi = 3.14

Or, p =  pi × d

Or, p = pi × 5.5 miles

Or, p =  3.14 × 5.5 miles

∴ p = 17.27 miles

So, The perimeter of circle = perimeter of lake = p = 17.27 miles

Hence, The perimeter of the crater lake is 17.27 miles.

It was my cousin's idea

The cacluation of pi is 3.14

Answer:5.5\(\pi\)

Step-by-step explanation:

Answer:

you didnt put enough context in your question but if shana kept using three she would have mixed even and odds in her numbers if you could give more context to the question id be glad to help more

Answer:

5h + 9

Step-by-step explanation:

Let's simplify step-by-step.

10h+6−5h+3

=10h+6+−5h+3

Combine Like Terms:

=10h+6+−5h+3

=(10h+−5h)+(6+3)

=5h+9

Answer:

=5h+9

Hope this helps!!! :)

Answer:

Total equation: X + Y = 11 pounds

Cost equation: 1.60X + 2.10Y = 20.10

Number of Pounds of Zucchini = 6

Number of Pounds of Broccoli = 5

Step-by-step explanation:

You get the equations by just pulling the information from the text.

We then take the total equation and rearrange it to solve for one of our values. I will be using X

X + Y = 11 so first subtract X from both sides to get

Y = 11 - X so now we know what Y equals

next take the cost equation and input X in wherever it shows up so

1.60 (X) + 2.10 (11 - X) = 20.10

now distribute 2.10 to the values in the parathesis to get

1.60X + 23.1 - 2.10X = 20.10

now combine like terms

-0.5X + 23.1 = 20.10

now subtract 23.1 from both sides

-0.5X = -3

now divide both sides by -0.5

X = 6

so now we know that he both 6 pounds of zucchini now plug that into the total equation

6 + Y = 11

subtract 6 from both sides

Y = 5

Answer: The Answer to your question would be D-Number 4

Step-by-step explanation: A Negative Number Multiplied by a Negative number is Positive. Each negative number cancels out the other. In A., there are 2 negatives, and 2 positives, so it would be a Positive. In B., There are 3 negatives, but there is a 0, and anything times 0 is 0, And 0 is neither negative nor positive. In C., All of the numbers are negative, so they cancel each other out, and make a positive. Lastly, In D., there is one positive, and three negatives. 2 Negatives cancel eachother out, and there is one negative and one positive remaining. A positive multiplied by a negative is also negative. So then the negative multiplied by the positive is negative.

Hope this Helps!

Answer:

4(-9)×(-3)(-1) is negative

Step-by-step explanation:

1.  -2(-7)×12(4) = 14×48 = 672

2.  -6(-7)×(-8)0 = 42×0 = 0

3.  -3(-2)×(-4)(-7) = 6×28 = 168

4. 4(-9)×(-3)(-1) = -36×3 = -108

\( \large \mathfrak{Solution : }\)

let's solve for x :

I hope it helped...

Answer:

x= -3

Step-by-step explanation:   both sides +1/3 so that the -1/3 gone

2/9x-1/3= -1

= 2/9x= -1+1/3

=2/9x= -2/3

=-3

Answer:

Since the turkey costs $4.5 per pound and we need 2.6 pounds, we can simply multiply 4.5*2.6 to get $11.70 as the total cost.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

23 - 9 = 14

14 / 7 = 2

Answer:

-2/5

Step-by-step explanation:

The full equation would be y = -2/5x + 1

1 is the y intercept, and the slope would be -2/5 because we move 2 spaces down and 5 spaces to the right to get from one point to another.

(1,1) to (5,-1)

Answer:

3.48

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10