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2 years ago

5

If you ask three strangers about their birthdays, what is the probability:

1 answer:

GarryVolchara [31]2 years ago

8 0

Part A:

The probability that the birthday of three strangers were on Wednesday is given by

$\left( \frac{1}{7} \right)^3= \bold{\frac{1}{343}}$

Part B:

The probability that the birthday of three strangers were on different days of the week is given by

$\left( \frac{1}{7} \right)\left( \frac{1}{6} \right)\left( \frac{1}{5} \right)= \bold{\frac{1}{210}}$

Part C:

The probability that none of the three strangers were born on Saturday is given by

$\left( \frac{6}{7} \right)^3= \bold{\frac{216}{343}}$

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What is the volume of the composite figure?

m_a_m_a [10]

We are asked to solve for the volume of the composite figures and the answer is the summation of the two volumes such as the volume of a triangular prism and volume of a rectangular prism. In order to solve this, we need to recall the following formulas:
the volume of triangular prism = 1/2* b*h*l and solving the volume, we have it:
the volume of triangular prism = 1/2 * 15* 16*20 = 3600 units³
the volume of rectangular prism = l*w*h and solving the volume, we have it:
the volume of rectangular prism = 20*15*12 = 2400 units³

The total volume of the composite figure is the summation of the two volumes such as:
total volume = 3600 + 2400
total volume = 6000 units²

The answer is 6,000 units².

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2 years ago

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Mr. Velasquez built a playground. It has one section with a slide and another section with a swing set. A pathway connects the t

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Answer:

$A_1 = 24m^2$ -- Swing set

$A_2 = 16m^2$ -- Slide

$A_3 = 5m^2$ --- Pathway

Step-by-step explanation:

Missing part of the question:

Fill in the table above to show the area of each section (see attachment for table)

The area of each section is calculated as:

$Area = Length * Width$

For the Swing set

$A_1 = 8m * 3m$

$A_1 = 24m^2$

For the Slide

$A_2 = 8m * 2m$

$A_2 = 16m^2$

For the Pathway

$A_3 = 5m * 1m$

$A_3 = 5m^2$

The total area is:

$Area=A_1 + A_2 + A_3$

$Area = 24m^2 + 16m^2 + 5m^2$

$Area = 45m^2$

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1 year ago

In triangle RST, U is the midpoint of RS, V is the midpoint of ST, and W is the midpoint of TR. Use the triangle diagram to answ

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(1)

we are given

U is the midpoint of RS

and we have

$RU=12$

so, we can use formula

$RS=2RU$

we can plug values

$RS=2\times 12$

$RS=24$ ............Answer

(2)

V is the midpoint of ST

so, we get

$SV=VT$

now, we can plug values

$2x=11$

divide both sides by 2

$x=5.5$ .........Answer

(3)

now, we can find y

W is the midpoint of TR

so, we get

$RW=WT$

we can plug value

$15.9=3y$

divide both sides by 3

$y=5.3$

(4)

we can see that

triangles URW and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{RW}{RT} =\frac{UW}{ST}$

we can plug values

$\frac{15.9}{2\times 15.9} =\frac{UW}{2VT}$

$\frac{15.9}{2\times 15.9} =\frac{UW}{2\times 11}$

$UW=22\times \frac{15.9}{2\times 15.9}$

$UW=11$ ...........Answer

(5)

we can see that

triangles SUV and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{SU}{SR} =\frac{UV}{RT}$

now, we can plug values

$\frac{12}{2\times 12} =\frac{UV}{2\times 15.9}$

$UV=2\times 15.9\times \frac{12}{2\times 12}$

$UV=15.9$ .............Answer

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1 year ago

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14 inches per minute.

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2 years ago

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Right angle and complementary. this cold be wrong.

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