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cestrela7 [59]
3 years ago
10

The dimensions of Sara's apartment are22 1/2 feet by 25 feet. In the scale drawing below,1 1/2 inches is equivalent to 15 feet.

What is the unit rate
Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Given:

The scale 1 1/2 (\frac{3}{2}) inches = 15 feet

<=>  1 inch = \frac{15 feet}{\frac{3}{2} } = 10 feet.

<=> 1 feet = \frac{1}{10} inch

The dimensions of Sara's apartment are 22 1/2  (\frac{45}{2}) feet by 25 feet, so the new dimensions of Sara's apartment by inches are:

  • (\frac{45}{2}) feet = \frac{45}{2} * \frac{1}{10} = \frac{9}{4} inches
  • 25 feet = 25*\frac{1}{10} = \frac{5}{2} inches

Hope it will find you well.

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Which is the other endpoint of a line segment with one endpoint at 1,3 and midpoint at 3,5
Nookie1986 [14]
One endpoint at 1,3 and the midpoint at 3,5
Your answer would be to as two to each the x and y of the midpoint. so 5,7
6 0
3 years ago
If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you
Ann [662]

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

4 0
3 years ago
In the warehouse there is a stack of 7 crates. Each crate is 102/3 inches high. How many inches high is the stack
pickupchik [31]

Answer:

The stack is \frac{224}{3}inches high.

Step-by-step explanation:

Given date:-

A stack of 7 crates means

1 stack=7 crates

Total number of crate=7

Height of 1 crate = 10\frac{2}{3}\ inches

Height of 1 crate =\frac{30+2}{3} inches

Height of 1 crate =\frac{32}{3} inches

To find height of stack=?

Now,

Height of a stack = Height of 1 crate \times Total number of crates

Height of a stack =\frac{32}{3}\times7

Height of a stack =\frac{32\times7}{3}

Height of stack = \frac{224}{3} inches

Therefore the stack is \frac{224}{3} inches high.

6 0
3 years ago
To raise money for charity,Polly climbs the 1,776 steps in the CN Tower in Toronto,Canada.If it takes her 40 minutes to complete
Romashka [77]
The Average Is 44.4 Steps
5 0
4 years ago
Orange M&amp;M’s: The M&amp;M’s web site says that 20% of milk chocolate M&amp;M’s are orange. Let’s assume this is true and set
SOVA2 [1]

Answer:

The correct option is (A).

Step-by-step explanation:

Let <em>X</em> = number of orange  milk chocolate M&M’s.

The proportion of orange milk chocolate M&M’s is, <em>p</em> = 0.20.

The number of candies in a small bag of milk chocolate M&M’s is, <em>n</em> = 55.

The event of an milk chocolate M&M being orange is independent of the other candies.

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 55 and <em>p</em> = 0.20.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected number of orange  milk chocolate M&M’s in a bag of 55 candies as follows:

E(X)=np

         =55\times 0.20\\=11

It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.

This proportion is not surprising.

This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.

All unusual events have a very low probability, i.e. less than 0.05.

Compute the probability of P (X ≥ 14) as follows:

P(X\geq 14)=\sum\limits^{55}_{x=14}{{55\choose x}0.20^{x}(1-0.20)^{55-x}}

                 =0.1968

The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.

This probability is quite larger than 0.05.

Thus, the correct option is (A).

4 0
3 years ago
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