Could you help me with this? I am very bad at math i need help
1 answer:
Answer:
10) 7 meters
11) 10 yards
12) 452.16 inches²
13) 235.5 meters²
14) 22608 centimeters²
15) 4220.16 centimeters²
16) 1177.5 centimeters²
17) 141.3 millimeters²
Step-by-step explanation:
10) The volume of a rectangular prism is calculated by multiplying the height, width, and length of the shape. In this question, we have the volume, the width, and height, but not the length. To find it, we can divide the width and height from the volume.
First, divide the width.
= 42
Next, the height.
= 7
The length of the shape is 7 meters.
----------------------------------------------------------------------------------------------------------------
11) For this question, we can do the same thing. Take the volume, then divide the length and width from it.
= 60
= 10
The height is 10 yards.
----------------------------------------------------------------------------------------------------------------
12) We have to find the volume of a cylinder. The formula for this is . We will use 3.14 for pi. The radius is 4 in and the height is 9 in. We can plug our values into the equation and solve.
V = r²h
V = (4²)(9)
V = 3.14(4²)(9)
V = 50.24(9)
V = 452.16
The volume is 452.16 inches².
----------------------------------------------------------------------------------------------------------------
13) We will use the same formula for this. Our radius is 5 m and the height is 3 m. Plug the values in and solve.
V = r²h
V = (5²)(3)
V = 3.14(5²)(3)
V = 78.5(3)
V = 235.5
The volume of this cylinder is 235.5 meters².
----------------------------------------------------------------------------------------------------------------
14) The radius of this cylinder is 15 cm. The height is 32 cm. Put these numbers into our formula.
V = r²h
V = (15²)(32)
V = 3.14(15²)(32)
V = 708.5(32)
V = 22608
The volume of this cylinder is 22608 centimeters².
----------------------------------------------------------------------------------------------------------------
15) The next cylinder has a radius of 8 cm and a height of 21 cm.
V = r²h
V = (8²)(21)
V = 3.14(8²)(21)
V = 200.96(21)
V = 4220.16
The cylinder has a volume of 4220.16 centimeters².
----------------------------------------------------------------------------------------------------------------
16) This cylinder has a radius of 5 cm and a height of 15 cm.
V = r²h
V = (5²)(15)
V = 3.14(5²)(15)
V = 78.5(15)
V = 1177.5
The volume is 1177.5 centimeters².
----------------------------------------------------------------------------------------------------------------
17) The dimensions of this cylinder are 3 mm and 15 mm.
V = r²h
V = (3²)(15)
V = 3.14(3²)(15)
V = 9.42(15)
V = 141.3
The volume is 141.3 millimeters².
----------------------------------------------------------------------------------------------------------------
I hope this helps ^^ Good luck
You might be interested in
Answer:
(1) The probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.
(2) The shop owner has no reasonable chance to expect earning a profit more than $300.
(3) The probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.
Step-by-step explanation:
Let <em>X</em> = number of cups of coffee sold and <em>Y</em> = number of donuts sold.
The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = 320 and <em>σ </em>= 20.
The random variable <em>Y</em> follows a Normal distribution with parameters <em>μ</em> = 150 and <em>σ </em>= 12.
The shop owner opens the shop 6 days a week.
(1)
Compute the probability that the shop owner sells over 2000 cups of coffee in a week as follows:
Thus, the probability that the shop owner sells over 2000 cups of coffee in a week is 0.2514.
(2)
The equation representing the profit earned on selling 1 cup of coffee and 1 doughnut in a day is:
P = 0.5<em>X</em> + 0.4<em>Y</em>
Compute the probability that the shop owner earns more than $300 as profit as follows:
The probability of earning a profit more then $300 is approximately 0.
Thus, the shop owner has no reasonable chance to expect earning a profit more than $300.
(3)
The expression representing the statement "he'll sell a doughnut to more than half of his coffee customers" is:
<em>Y</em> > 0.5<em>X</em>
<em>Y</em> - 0.5<em>X</em> > 0
Compute the probability of the event (<em>Y</em> - 0.5<em>X</em> > 0) as follows:
Thus, the probability that the shop owner will sell a doughnut to more than half of his coffee customers is 0.2611.