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Salsk061 [2.6K]
3 years ago
7

A teacher grades 27 tests in 3 hours How many tests can the teacher grade in 8 hours if he works at the same rate

Mathematics
2 answers:
larisa [96]3 years ago
5 0

Answer:

72 tests

Step-by-step explanation:

lets put this in a ratio

27 (tests) : 3 (hours)

now we simplify by dividing each side by 3

9:1

Now we must find 8 hours so multiply each side by 8

72:8

the teacher will grade 72 tests in 8 hours

Norma-Jean [14]3 years ago
4 0

Answer:

72 tests

Step-by-step explanation:

Lets find how many are graded per hour:

27 ÷ 3 = 9

9 tests per hour

9 · 8 = 72

72 tests

i hope this helped, please mark Brainliest, thank you!!

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Assume the line of best fit for a data set is given by y=22x+32. What data points are predicted by the line of best fit? Check a
malfutka [58]
Hi. You have to do trial and error with each of the choices to see which of those apply. They are points on the given function y=22x+32 that lie on point (x,y). Just substitute the x-and y values to the function.

a. (10,480) => x = 10, y = 480
     y = 480 = 22(10) + 32
     480 = 252 (does not apply)

b. (5,142) => x = 5, y = 142
     y = 142= 22(5) + 32
     142 = 142 (apply)

c. (8,208) => x = 8, y = 208
     y = 208 = 22(8) + 32
     208 = 208 (apply)

d. (7,154) => x = 7, y = 154
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     154 = 186 (does not apply)

The answer is B and C.
3 0
3 years ago
An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2. 
H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
               = 0.12 / 0.42
               = 0.286
the final answer is 0.286
6 0
3 years ago
The length of a rectangle is 1.2 × 10-4 kilometer. the width of the rectangle is 6.25 × 10-5 kilometer.what is the area in squar
Serhud [2]
We have 1.2 × 10^(-4)  x 6.25 × 10^(-5 )  = 7,5 x 10^(-9) = 75 x 10^(-10) square kilometers.
3 0
3 years ago
A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour
OLga [1]

Answer:

4.5 mph or 9/2 mph

Step-by-step explanation:

Let x be the rate of the current

Formula: Distance = rate x time

where rate upstream =(12-x) and time =2 hours

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15=24–2x

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2 years ago
What is the solution to this system of linear equations?
nataly862011 [7]

Step-by-step explanation:

the question answer a should be

3 0
2 years ago
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