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wlad13 [49]
3 years ago
5

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

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A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times?
GaryK [48]

The required probability of the coin landing tails up at least two times is 15/16.

Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.

<h3>What is probability?</h3>

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
In the given question,
let's approach inverse operation,
The probability of all tails  = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
                                                                                     = 1 - 8 / 128
                                                                                     = 120 / 128
                                                                                     = 15 / 16

Thus, the required probability of the coin landing tails up at least two times is 15/16.

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7 0
1 year ago
David is going to buy a cooker.
beks73 [17]

Answer:

the original price of the cooker is £320 and David has been a deposit of 15% so find 15% of the original price and the deposit is £48

7 0
3 years ago
Find the lentgh of the missing side
adell [148]

Answer:

8 is missinn

8 ixxdxx

8 0
3 years ago
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio
almond37 [142]

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

3 0
3 years ago
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they spend on soc
Georgia [21]

Answer:

A: Not sure what A is called sorry. B is called the outliner. He could be generally better at the subject and understood it more, he could have cheated on his test. He could have simply guessed and got  lucky.

B: The longer he/she spent on social media the worse their test scores became.

Step-by-step explanation:

7 0
3 years ago
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