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Ray Of Light [21]
2 years ago
5

What is the length of the dotted line in the diagram below? Leave your answer in

Mathematics
1 answer:
a_sh-v [17]2 years ago
8 0

The top is a triangle with sides 7 and 5.4 Use the Pythagorean theorem to find the 3rd length.

3rd sides = sqt(7^2 + 5^2( = sqrt(49+25) = sqrt(74)

This side is the base of the lower rectangle.

The dotted line is the hypotenuse of a right triangle.

Use the Pythagorean theorem to solve.

sqrt(10^2 + sqrt(74)^2) = sqrt(174)

The dotted line = sqrt(174)

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How do I express the following as a fractional part of a year?
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Answer:

See below.

Step-by-step explanation:

A year has 12 months and 365 days.

3 months: 3/12 year = 1/4 year

55 days: 55/365 year = 11/73 year

1 month: 1/12 year

7 months = 7/12 year

120 days = 120/365 year = 24/73 year

4 0
3 years ago
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A study finds that out of every babies born in the​ world, have some kind of major birth defect. What is the simplest way to ass
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A study finds that out of every 400 babies born in the​ world, 28 have some kind of major birth defect. The simplest way to assign random numbers to conduct a simulation based on this​ statistic is to use 00-06 (7%) to indicate the babies with birth defects.

<h3>What is the rationale for the above?</h3>

Note that the total number of births is: 400

Total number of defective babies = 28

Hence, the fraction or ratio of this is:

28/400

= 7/100

= 7%.

This also means that 07-99 (93%) will represent the babies without birth defects.

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3 0
2 years ago
The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probabili
Ilya [14]
D. P(A x B)

To work out the success of both events you have to multiply them together. I'd seriously reccomend learning this rule as it's very important later on in mathematics as it's basically the foundation of all probability statistics.
4 0
3 years ago
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Pls help me solve this problem!!
ddd [48]

Answer:

49.85

Step-by-step explanation:

41 is the mean, so half of the daily requests are above that number, half below, the question is about numbers above the mean, so the lower numbers won't be included in the percentage.

The difference between 59 and 41 is 18. The standard deviation given is 6.

18 ÷ 6 = 3  So that is 3 standard deviations. The empirical rule states that 99.7 of all values are within 3 standard deviations from the mean. But we are looking at only the upper half of those values so 99.7 ÷ 2 = 49.85 %

If the answer asks for approximate, you could round to 49.9 or 50.

And tell the math people to learn the correct spelling of fluorescent!

4 0
3 years ago
What is the value of x in the recntangle (2 1/2+ X) cm and 2 1/2 cm
vaieri [72.5K]

Answer:

Step-by-step explanation:

Given that:

Length (l) = 13 cm

Width (w) = 8 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

4 0
3 years ago
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