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Harlamova29_29 [7]
3 years ago
11

Someone please help me I will be so thankful

Mathematics
1 answer:
Volgvan3 years ago
8 0
1/2 = 0.5 = 50% was found.

Looking at the scale, there are 5 dashes from 0 to 10,000.  This means that each dash is worth $2,000.  The thermometer is marked 2.5 dashes up; 2.5(2000) = 5000.  

5000/1000 = 1/2; 1/2 = 0.5; 0.5 = 50%.
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A high school janitor has 140 keys on his key chain. Of these 140 keys, 100 open classroom doors, 80 open the
Afina-wow [57]

Answer:

<u>1. P(C) =  5/7</u>

<u>2. P(T) =  4/7</u>

<u>3. P(C and T) =  3/7</u>

<u>4. P(C or T) =  6/7</u>

Correct statement and question:

A high school janitor has 140 keys on his key chain. Of these 140 keys, 100 open classroom doors, 80 open the door to the teachers' lounge, and 60 open classroom doors and the teachers' lounge. Using this information, answer each of the following questions.

Let C be the event that a randomly selected key opens a classroom and T be the event that a randomly selected key opens the teachers' lounge.

1. What is P(C), the probability that a key opens a classroom?

2. What is P(T), the probability that a key opens the teachers' lounge?

3. What is P(C and T), the probability that a key opens a classroom and the teachers' lounge?

4. What is P(C or T), the probability that a key opens a classroom or the teachers' lounge?

Source:

Question that can be found at chegg dot com

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of keys the high-school janitor has = 140

Number of keys that open classroom doors = 100

Number of keys that open   teachers' lounge = 80

Number of keys that open both = 60

2. What is P(C), the probability that a key opens a classroom?  

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(C) = 100/140 = 5/7 (Dividing by 20 numerator and denominator)

<u>P(C) =  5/7</u>

3. What is P(T), the probability that a key opens the teachers' lounge?

Substituting with the real given values:

P(T) = 80/140 = 4/7 (Dividing by 20 numerator and denominator)

<u>P(T) =  4/7</u>

4. What is P(C and T), the probability that a key opens a classroom and the teachers' lounge?

Substituting with the real given values:

P(C and T) = 60/140 = 3/7 (Dividing by 20 numerator and denominator)

<u>P(C and T) =  3/7</u>

5. What is P(C or T), the probability that a key opens a classroom or the teachers' lounge?

P(C or T) = P(C) + P(T) - P(C and T)

Substituting with the real given values:

P(C or T) = 5/7 + 4/7 - 3/7

<u>P(C or T) =  6/7</u>

7 0
4 years ago
When or how do you use them to solve for the answer
mojhsa [17]

Answer:

a) Δt = vf - vi ÷ a

b) (a × Δt) + vi = vf

4 0
3 years ago
Write a system of equations to describe the situation below, solve using substitution, and fill in the
timofeeve [1]

Answer:

Let C represent the total cost of each deal  

Let T be the number of trips down the water slide

C = 32        for the 1st deal since the cost is the same regardless of how much she rides  

C = 18 + T  for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14  trips

The cost must be $32 since that is the only cost possible for the 1st deal  

Step-by-step explanation:

8 0
3 years ago
I need help plz:((((((((((
pashok25 [27]

Answer:

a) y=\frac{28}{75}(x-1900)+47.3

b) 86.5 years

Step-by-step explanation:

All values are rounded to 2 decimal places

a) We can find line by using y =mx+b

y=mx+b\\m=\frac{y^{2}-y^{1} }{x^{2}-x^{1}}\\m=\frac{69.7-47.3}{1960-1900} \\m=\frac{22.4}{60} \\m=\frac{28}{75}\\c=y-intercept\\y-intercept=47.3\\y=\frac{28}{75} (x-1900)+47.3

Therefore the line of best fit is y=\frac{28}{75}(x-1900)+47.3\\

b) We can do this by using the formula of the best fit line to estimate the life expectancy of someone born in 2005

y=\frac{28}{75}(x-1900)+47.3\\y=\frac{28}{75}(2005-1900)+47.3\\y=\frac{28}{75}\times105+47.3\\y=86.5

Therefore the estimated life expectancy of someone born in 2005 is 86.5 years

PS. Please give brainliest answer this was a lot of working out

3 0
3 years ago
A line includes the points (8,5) and (9, – 5). What is its equation in point-slope form?
zmey [24]

Answer:

Step-by-step explanation:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

         =\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\

Point-slope form:

y - y1 = m(x - x1)

y - 5 = -10(x - 8)

4 0
3 years ago
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