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3 years ago

Is a game in which the cost to play equals the expected values of winning.

Mathematics

2 answers:

Elina [12.6K]3 years ago

6 0

D)

50/50 chance of winning or losing

skad [1K]3 years ago

3 0

Answer:

Probability game

Step-by-step explanation:

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Jamie has 7/10 of a pound of chicken to cook for dinner if she's going to put the chicken in between three people how much chick

AURORKA [14]

Answer:

Each person will get $\frac{7}{30}$ or approximately 0.23 pounds of chicken.

Step-by-step explanation:

This is a word problem involving fractions. Using key words and phrases from the problem, we can decide which operation we need to use to solve. Since Jamie is splitting the chicken equally between three people, she would need to divide the amount of chicken she has by 3:

$\frac{7}{10}$ ÷ $\frac{3}{1}$

Since we can't divide fractions, we need to use the 'keep-change-flip' rule to keep the first fraction, change the operation to multiplication and flip the second fraction:

$\frac{7}{10}*\frac{1}{3}=\frac{7}{30}$

We can convert the fraction into a decimal by dividing the numerator by the denominator: 7÷30≈0.23 pounds per person.

5 0

3 years ago

The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours

Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral $\int\limits^{10}_{1 } {W(t)} \, dt$ means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$

c) Using casio calculator to evaluate the integral gives:

$\int\limits^{24}_{19 } {W(t)} \, dt\\\\$ = 2.54 inches

D) The total daily change in water level = $\int\limits^{24}_{0 } {W(t)} \, dt\\\\$ = 0.35 inches

8 0

2 years ago

Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

2 years ago

The vertices of a parallelogram are A(x1,y1), B(x2,y2), C(x3,y3), D(x4,y4)

Tju [1.3M]

<span>For a parallelogram to be proven to be a rectange, the opposide sides must be parallel and the two adjacent sides must be perpendicular. For two parallel sides, the slope of the two sides is equal. Thus, for the parallelogram to be a rectangle, AB is parallel to CD. The slope of AB = (y2 - y1)/(x2 - x1) while the slope of CD = (y4 - y3)/(x4 - x3) Also, BC is perpedicular to CD. For two perpendicular sides, the product of the slopes is -1. The slope of BC is given by (y3 - y2)/(x3 - x2). Therefore, for the parallelogram to be a rectangle. (y2 - y1)/(x2 - x1) = (y4 - y3)/(x4 - x3) and (y4 - y3)/(x4 - x3) x (y3 - y2)/(x3 - x2) = -1. The third option is the correct answer.</span>

3 0

3 years ago

Read 2 more answers

Eva sees a dolphin 3.23.23, point, 2 meters below sea level and a bird \dfrac{47}{10} 10 47 start fraction, 47, divided by, 10

soldi70 [24.7K]

Answer:

47/10 - 3.2

Step-by-step explanation:

Given

Dolphin = 3.2

Bird = 47/10

Required

What is the vertical distance between both

Using a vertical scale;

Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.

The vertical distance between them is as follows;

Distance = +[Above The Sea] - [Below The Sea]

Distance = +47/10 - 3.2

Distance = 47/10 - 3.2

Hence, the vertical distance between both is 47/10 - 3.2

8 0

3 years ago

Read 2 more answers