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faltersainse [42]
3 years ago
6

A fast typist can type 120 words in 100 seconds. In 180 seconds, how many words could be typed?

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
100 seconds --- 120 words 
180 seconds --- x words

x= \cfrac{180*120}{100}=18*12=216 \  \text{words}
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2. What is the experimental probability of rolling a 4
boyakko [2]

Answer:

1. 40%

2. The theoretical probability is 3% greater than the experimental probability.

Step-by-step explanation:

We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;

(the number of times a 4 was rolled)/(total number of rolls)

8/20 = 0.4

0.4*100 = 40%

The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;

P(HT or TH or TT)

The above events are mutually exclusive, thus;

P(HT or TH or TT) = P(HT) + P(TH) + P( TT)

                               = (22+34+16)/(28+22+34+16)  

                               = 0.72 = 72%

On the other hand, the theoretical probability of obtaining at least one tails,

P(HT or TH or TT) = 3/4

                              = 75%

This is because there is at least one tail in 3 out of 4 possible outcomes.

Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.

6 0
3 years ago
Read 2 more answers
5 to the negative 3rd power ​
Mars2501 [29]

Answer:

1/125

Step-by-step explanation:

(5)^{-3}\\\\=\frac{1}{5^3}\\\\=\frac{1}{125}

7 0
3 years ago
Help me for this question please​
stealth61 [152]

Answer:70 degrees and 150 degrees

Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.

After that you can model the sum of the angles with an equation:

7x + 15x = 220

22x = 220

x = 10

then you plug in x for each angle 7(10) = 70 and 15(10) = 150

7 0
3 years ago
Read 2 more answers
cole spent $55.00 buying songs and movies at an online store that charges $1.25 for each song and $2.75 for each movie. He purch
Sergeu [11.5K]
If you would like to write and solve a system of equations that represent the situation above, you can do this using the following steps:

s ... number of songs
m ... number of movies

$55.00 = $1.25 * s + $2.75 * m
55 = 1.25 * s + 2.75 * m

26 songs and movies = s + m
26 = s + m
s = 26 - m

55 = 1.25 * s + 2.75 * m
55 = 1.25 * (26 - m) + 2.75 * m
55 = 1.25 * 26 - 1.25 * m + 2.75 * m
55 - 32.5 = 1.5 * m
22.5 = 1.5 * m
m = 22.5 / 1.5 = 15 movies

s = 26 - m = 26 - 15 = 11 songs

The correct result would be 15 movies and 11 songs.
6 0
3 years ago
Can someone help me?
Vesnalui [34]

Step-by-step explanation:

1. 1/13 2. 1/26

4 0
3 years ago
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