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2 years ago

Please Answer! sorry i put the wrong page on my last one

Mathematics

1 answer:

zhenek [66]2 years ago

7 0

Answer:

150 degrees

Step-by-step explanation:

They are corresponding angles so they are congruent.

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Find the missing side of the triangle

Oksana_A [137]

Answer:

x = 2 $\sqrt{5}$

Step-by-step explanation:

2² + 4² = x²

4 + 16 = x²

$\sqrt{x^2}$ = $\sqrt{20}$

x = $\sqrt{2^2}$ × $\sqrt{5}$

x = 2 $\sqrt{5}$

3 0

3 years ago

The equation of a line is (3)/(5)x+(1)/(3)y=(1)/(15) . The x-intercept of the line is , and its y-intercept is .

boyakko [2]

bxf-mgii-whr

Step-by-step explanation:

come I will teach

6 0

2 years ago

Solve 5x = 2 written a afrction inits simplest form

Elden [556K]

Answer:

x = 2/5

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Write equation

5x = 2

Step 2: Solve for x

Divide both sides by 5: x = 2/5

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 5(2/5) = 2
Multiply: 10/5 = 2
Divide: 2 = 2

4 0

3 years ago

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used 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.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Please help What is the value of x? A:12 B:15 C: 6 D: 30

pickupchik [31]

Answer: A, 12

Step-by-step explanation:

The line in the middle is a midsegment, making the two triangles similar by a ratio of two. So, dividing 60 by five will give you twelve

4 0

3 years ago