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love history [14]
3 years ago
8

Eva payrolls for on a number cube and the number of cubes roll 24 times then what is a reasonable prediction for the number of s

uccessful Rolls
Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

The reasonable prediction for successful rolls is 4.

Step-by-step explanation:

Assuming the rolling cube  is a fair 6 sided cube, so the probability of success of one roll is given as

P(Success)=\dfrac{Number\ of\ successful\ events}{Number\ of\ total\ events}

P(Success)=\dfrac{1}{6}

The total success is given as

P(Total\ Success)=P(Success)\times Number\ of\ events

For 24 rolls it is given as

P(Total\ Success)=P(Success)\times Number\ of\ events\\P(Total\ Success)=\dfrac{1}{6}\times 24\\P(Total\ Success)=4

So the reasonable prediction for successful rolls is 4.

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Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. (If both values are the same number,
Lina20 [59]

Answer:

<h2>Length is 17m and Breadth is also 17m</h2>

Step-by-step explanation:

The perimeter of a rectangle is expressed as 2(L+B) where;

L is the length and B is the breadth of the triangle.

P = 2(L+B)

68 = 2(L+B)

L+B = 68/2

L+B = 34

L = 34 - B ... 1

Area of the rectangle A = LB... 2

Substituting equation 1 into 2 will give;

A = (34-B)B

A = 34B-B²

To maximize the area of the triangle, dA/dB must be equal to zero i.e

dA/dB = 0

dA/dB = 34 - 2B = 0

34-2B = 0

2B = 34

Dividing both sides of the equation by 2 we will have;

B = 34/2

B = 17

Substituting B = 17 into equation 1 to get the length L

L = 34-17

L = 17m

This shows that the rectangle with maximum area is a square since L = B = 17m

The dimension of the rectangle is Length = 17m and Breadth = 17m

8 0
3 years ago
Leona spent $22.95 at the mall. She bought a T-shirt and a book. The book $12.25. How much did the T-shirt cost?
dimaraw [331]

A) Let x = cost of t-shirt:

x= 22.95-12.25

B) x = 22.95 -12.25 = 10.70

C) the t-shirt cost $10.70


4 0
3 years ago
For what value of x is r(x)= -21??
Naily [24]

Answer:

Rx= - 21

Rx/r= - 21/r

X=-21/r

4 0
1 year ago
A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is
Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So,  distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

4 0
3 years ago
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