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3 years ago

Find the length of side x I simplest radical form

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = $\sqrt{61}$

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = $(\sqrt{61})^2$ + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

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In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people

marishachu [46]

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

43% of adults questioned reported that their health was excellent.

This means that $p = 0.43$

13 adults randomly selected

This means that $n = 13$

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008$

$P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079$

$P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344$

$P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344$

13.44% probabilith that at most 3 are in excellent health.

6 0

3 years ago

Eight times the difference of a number and 2 is the same as 3 times the sum of the number and 3. write and solve the equation

Zigmanuir [339]

X is the number:
Therefore, the equation is:
8(x-2)=3(x+3)

8x-16=3x+9
8x-3x=9+16
5x=25
x=25/5
x=5

Answer: the equation is: 8(x-2)=3(x+3), and the number is: 5

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3 years ago

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A race car has a top speed of 330 km/hr. What speed is that in miles/sec?

maksim [4K]

The answer is B) 0.057

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4 years ago

The last line of a proof represents the given information. the argument. the conclusion. the assumptions.

guajiro [1.7K]

The last line of a proof represents <span>the conclusion. The correct option among all the options that are given in the question is the third option or the penultimate option. The other choices can be easily neglected. I hope that this is the answer that has actually come to your desired help.</span>

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3 years ago

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-26=b-13 <br> Plz answer I’m a month late on this test

Irina-Kira [14]

Answer:

B = -13

Step-by-step explanation:

Add 13 to both sides

- 13 = b

4 0

3 years ago

Find the length of side x I simplest radical form​

Find the length of side x I simplest radical form