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2 years ago

A map

Mathematics

1 answer:

Bess [88]2 years ago

6 0

The scale of the map from inches to miles is 1 inch : 9 miles

<h3>How to determine the scale of the map from inches to miles?</h3>

The given parameters are:

The actual distance of the cities apart = 36 miles
The scale distance of the cities apart = 4 inches

The scale of the map from inches to miles is represented as:

Scale of map = The scale distance of the cities apart : The scale distance of the cities apart

Substitute the known values in the above equation

Scale of map = 4 inches : 36 miles

Divide both sides of the ratio by 4

So, we have:

Scale of map = 4/4 inches : 36/4 miles

Evaluate the quotient

Scale of map = 4/4 inches : 9 miles

Evaluate the quotient

Scale of map = 1 inch : 9 miles

Hence, the scale of the map from inches to miles is 1 inch : 9 miles

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An um contains 1 red marble, 7 white marbles and 2 blue marbles. A player randomly

BaLLatris [955]

Answer:

A loss of 1.8$

Step-by-step explanation:

In the bag in this problem, we have:

r = 1 (number of red marbles)

w = 7 (number of white marbles)

b = 2 (number of blue marbles)

n = r + w + b = 1 + 7 + 2 = 10 (number of total marbles)

So, the probabilities of choosing a red, a white or a blue marble are:

$p(r) = \frac{r}{n}=\frac{1}{10}=0.1$ (probability of choosing a red marble)

$p(w)=\frac{w}{n}=\frac{7}{10}=0.7$ (probability of choosing a white marble)

$p(b) = \frac{b}{n}=\frac{2}{10}=0.2$ (probability of choosing a blue marble)

The winning associated to each probability are:

+$5 if the marble is red

-$3 if the marble is white

-$1 if the marble is blue

So the expected winning can be calculated as follows:

$E(X)=p(r) \cdot (+\$5)+p(w) \cdot (-\$3) +p(b)\cdot (-\$1)=\\=(0.1)(+5)+(0.7)(-3)+(0.2)(-1)=-\$1.8$

So, he can expect a loss of 1.8$.

4 0

3 years ago

700 – 35w = 450 + 15w

mihalych1998 [28]

Answer:

Step-by-step explanation:

700-35w=450+15w

Subtract 15 from -35

700-50w=450

Subtract 700 from 450

-50w=-250

divide -250 by -50w

answer is 5

6 0

4 years ago

Read 2 more answers

Owen runs a pet store that sells rabbits. He wants to ensure he has more than 1 pound of dry food for every four rabbits he has

Lana71 [14]

Answer:

B) Owen can have a maximum of 22 rabbits in the store.

Step-by-step explanation:

Consider:

"He wants to ensure he has more than 1 pound of dry food for every four rabbits he has in the store."

It means, at least 0.25 pounds per rabbit. (1 pound divided by four)

"He currently has 5.7 pounds of dry food."

Inequality (r is the number of rabbits):

$5.7\leq 0.25r\\22.8\leq r$

According to the inequality, he can only have a maximum of 22 rabbits.

7 0

4 years ago

Read 2 more answers

Sergio is buying plums at $1.60

sashaice [31]

Answer:

Sergio's statement is false

Step-by-step explanation:

Cost of one pound of plum = 1.60

Total quantity of plum bought = 1

Weight of each plum = 1/4 pound

If he buys plum of $ 3.80 at the rate of $1.60 per pound, he purchases 2.375 pounds of plum

Weight of one plum = 1/4 pound, thus total number of plum purchased = 9.5

Since 0.5 pound of plum means half plum which is not possible to buy

Hence Sergio's statement is false

4 0

3 years ago

Write the converse, inverse, and contrapositive of the given conditional then determine the truth value of each statement.

Sophie [7]

Converse: If you play an instrument, then you play the tuba. False

Inverse: If you don't play the tuba, then you don't play an instrument. False

Contrapositive: If you don't play an instrument, then you don't play the tuba. True

8 0

4 years ago