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3 years ago

What is the measure of

Mathematics

1 answer:

EleoNora [17]3 years ago

4 0

Answer:

129 degrees.

Step-by-step explanation:

As we can see, angle DCF is made up of 2 different angles, DCE and ECF, the sum of the measure of these two angles is equal to the measure of angle DCF.

75+54=129 degrees

Hope it helps!

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Find the measures of the given angles or the lengths of the given sides. m<b=3y, m<e=6y-12

Mamont248 [21]

The measure of the angles would be: m<b=12 and m<e=12.

5 0

3 years ago

What is 4/5 - 3/10?? PLEASE ANSWER!!!!!!!!!!!!

Amiraneli [1.4K]

$\frac{4}{5} - \frac{3}{10} \\ 
 \\ \frac{4*2}{5*2}= \frac{8}{10} \\ 
 \\ \frac{3*1}{10*1}= \frac{3}{10} \\ 
 \\ \frac{8}{10} - \frac{3}{10}= \frac{5}{10} \\ 
 \\ \frac{5:5}{10:5}= \frac{1}{2} \\ 
 \\ Solution: \frac{1}{2} \\$

6 0

4 years ago

Read 2 more answers

The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation i

alekssr [168]

Answer:

a) 75%.

b) 84%

c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

In this question:

Mean: 6.3 hours

Standard deviation: 1.6 hours

(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.

3.1 = 6.3 - 2*1.6

9.5 = 6.3 + 2*1.6

Within 2 standard deviations, so the minimum percentage is 75%.

(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.

How many standard deviations from the mean?

One standard deviation is 1.6

These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which

$k = \frac{4}{1.6} = 2.5$

The minimum percentage is:

$100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%$

So 84%.

(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.

Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

8 0

3 years ago

What is the remainder when 42,325 ÷ 47?

tino4ka555 [31]

When you divide them the quotient will be 900 and the remainder will be:
25

BRAINLIEST PLS!!!

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4 years ago

Can somebody help me with the Math's questions on Pythagoras Theorem? Thanks

olga2289 [7]

Answer:

2.4 cans cost 47.4

If you cannot buy 2.4 cans, you must buy 3 cans, then you'll pay 59.25