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3 years ago

I can't find x y or z

Mathematics

1 answer:

Sholpan [36]3 years ago

5 0

Answer:

x = 4 $\sqrt{3}$

y = 6

z = 8

Step-by-step explanation:

keep in mind I'm not doing that well with geometry so this might all be wrong lol

x is part of a 30 60 90 triangle.

so x is 4 $\sqrt{3}$

next, this is a right angle triangle so you can follow the a^2 + b^2 = c^2 formula.

4 + 6 = 10

10^2 = 100

100 = a^2 + b^2

y = 6 and z = 8 bc 36 + 64 = 100

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Given: angle 1 is supplementary to angle 2 and angle 1 is congruent to angle 3.

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3 years ago

The quotient is 71 2/3 what is the divisor

Genrish500 [490]

The divisor is 3.
It is 3 because to make the whole number and the remainder a mixed number you take the whole number then for the numerator you write what is left over(remainder) and for the denominator you will write the divisor. In this case the denominator is 3 so the divisor is 3.

Hope I helped ! :D

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3 years ago

Please help, I’m struggling

Naddika [18.5K]

Answer:

49.5 mi

Step-by-step explanation:

Area of a triangle is A = (height) X (base) / 2

So if you plug in the numbers you get:

806.9 = (32.6) X (base) / 2

1613.8 = (32.6) X (base)

1613.8 / 32.6 = base

base = 49.5 mi

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2 years ago

If a certain brand of icecream is 99% fat free, how many cups would you have to eat to ingest the same amount of fat that would

sdas [7]

Answer:

10,000 cups

Step-by-step explanation:

Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2

Let's suppose a cup of regular ice cream would have 100 parts of fat.

The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.

If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it

These numbers won't change if we used another number instead of 100 in the example shown.

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3 years ago

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

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3 years ago

I can't find x y or z​

I can't find x y or z