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3 years ago

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The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of

this rectangle.

1 answer:

Blababa [14]3 years ago

6 0

Answer:

L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18

Step-by-step explanation:

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Bob and Anna are planning to meet for lunch at Sally's Restaurant, but they forgot to schedule a time. Bob and Anna are each goi

Viktor [21]

Answer:

The expected cost is $8.75

<em></em>

Step-by-step explanation:

Given

$Time = \{1pm, 2pm, 3pm, 4pm\}$

$C_1 = \$5$ --- If Bob and Anna meet

$C_2 = \$10$ --- If Bob and Anna do not meet

Required

The expected cost of Bob's meal

First, we list out all possible time both Bob and Anna can select

We have:

$(Bob,Anna) = \{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3)$ $,(3,4),(4,1),(4,2),(4,3),(4,4)\}$

$n(Bob, Anna) = 16$

The outcome of them meeting at the same time is:

$Same\ Time = \{(1,1),(2,2),(3,3),(4,4)\}$

$n(Same\ Time) = 4$

The probability of them meeting at the same time is:

$Pr(Same\ Time) = \frac{n(Same\ Time)}{n(Bob,Anna)}$

$Pr(Same\ Time) = \frac{4}{16}$

$Pr(Same\ Time) = \frac{1}{4}$

The outcome of them not meeting:

$Different = \(Bob,Anna) = \{(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2)$

$,(3,4),(4,1),(4,2),(4,3)\}$

$n(Different) = 12$

The probability of them meeting at the same time is:

$Pr(Different) = \frac{n(Different)}{n(Bob,Anna)}$

$Pr(Different) = \frac{12}{16}$

$Pr(Different) = \frac{3}{4}$

The expected cost is then calculated as:

$Expected = C_1 * P(Same) + C_2 * P(Different)$

$Expected = \$5 * \frac{1}{4} + \$10 * \frac{3}{4}$

$Expected = \frac{\$5}{4} + \frac{\$30}{4}$

Take LCM

$Expected = \frac{\$5+\$30}{4}$

$Expected = \frac{\$35}{4}$

$Expected = \$8.75$

<em>The expected cost is $8.75</em>

4 0

2 years ago

You use 4 gallons of water on 14 plants in your garden.At this rate, how much water will it take to water 35 plants?

Naddika [18.5K]

For this case we can make the following rule of three:

4 gallons --------------> 14 plants

x --------------------------> 35 plants

From here, we clear the value of x.

We have then:

$x = (\frac{35}{14}) * (4)\\x = 10$

therefore, 10 gallons are needed to irrigate 35 plants.

Answer:

it will take 10 gallons to water 35 plants

6 0

3 years ago

Read 2 more answers

mean of 164,175,178,166,167,145,176,150,174,162,180,156,173,158,182,184,160,172,186,168,195,169,171,187,170

Karo-lina-s [1.5K]

Answer:

170.72

Step-by-step explanation:

to find the mean, we must add al the numbers and divide it by n

that is,

164,175,178,166,167,145,176,150,174,162,180,156,173,158,182,184,160,172,186,168,195,169,171,187,170 we have to add al these numbers and divide it by 25

sum- 4628 divided by 25

=170.72

7 0

2 years ago

The plan of a park is at a scale of 1:5000. Calculate the actual distance between two points if the distance between two points

Svetllana [295]

7 cm: 35000 cm (7*5000)
2.8 cm: 14000 cm (2.8*5000)
2 cm: 10000 cm (2*5000)

4 0

3 years ago

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

agasfer [191]

Answer:

A right angle measures 90°.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers