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3 years ago

Solve for X using either sine, cosine, or tangent

Mathematics

1 answer:

vovikov84 [41]3 years ago

7 0

Answer:

•12.12

•56.92

Step-by-step explanation:

•Sin 30° = x ÷ 14√3

x=14√3 *Sin30

x=7√3

x=12.12

•Tan30°=6√3÷x

x=6√30 ÷Tan 30

x=18√10

x=56.92

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4x - 3y = k

Stella [2.4K]

I think its C. 5 that equals K.

4 0

3 years ago

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A teacher teaches two classes with 8 students each. Each student has a 95% chance of passing their class independent of the othe

dsp73

Answer:

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they pass, or they do not. The probability of an student passing is independent of other students, 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.

Probability that all students pass in a class:

Class of 8 students, which means that $n = 8$

Each student has a 95% chance of passing their class independent of the other students, which means that $p = 0.95$

This probability is P(X = 8). So

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

$P(X = 8) = C_{8,8}.(0.95)^{8}.(0.05)^{0} = 0.6634$

Find the probability that, in exactly one of the two classes, all 8 students pass.

Two classes means that $n = 2$

0.6634 probability all students pass in a class, which means that $p = 0.6634$ .

This probability is P(X = 1). So

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

$P(X = 2) = C_{2,1}.(0.6634)^{1}.(0.3366)^{1} = 0.4466$

0.4466 = 44.66% probability that, in exactly one of the two classes, all 8 students pass.

3 0

3 years ago

PLEASE HELP!! Due today:

irina [24]

Answer:

i would say it will be six

Step-by-step explanation:

because the height is the same the h

8 0

4 years ago

If you do this for me I'll love you forever!!!!

aniked [119]

Answer:

1: B

2: H

3. C or D (it's hard to tell, especially without an equation)

4. J

5. A

6. G

7. B

Step-by-step explanation:

f(x) - g(x)

(x^2 + 8x) - (3x - 5) Distribute the negative

x^2 + 8x - 3x + 5 Combine like terms

x^2 + 5x + 5

f(g(x))

Plug g(x) into f(x)

(2x - 1)^2 - 3

Immediately we can see that there will be a 4x^2 (because 2x times 2x = 4x^2) so we know the answer will be H because that's the only option with 4x^2

The line starts at -4 on the x axis and goes infinitely to the right so everything greater than (and maybe equal to) -4.

On the y axis, the line starts at 0 and goes infinitely up so everything greater than (and maybe equal to) 0.

To find the inverse of a function:

f(x) -> y

Switch x and y

Solve for y again

x = 3 +5y

x-3 = 5y

(x-3)/5 = y

If option A were inverse functions, h(x) would be

x = 2y + 9

x - 9 = 2y

(x-9)/2 = y

Which could also be written as (1/2)x - 9/2 or (1/2)x - 4.5 but not (1/2)x - 9

As y approaches -1, x approaches 1. Going the other direction,

As y approaches positive infinity, x approaches positive infinity.

The number inside directly affecting the x moves the function left and right (left is positive, right is negative). The number outside moves the function up and down. So (x + 4) moves it left 4 and the +1 moves it up 1.

7 0

2 years ago

A 68 g bar of gold is cut into 3 equal pieces. How does the density of each piece compare to the density of the original gold ba

Elis [28]

68/3=22.66 so its a third of the original density

5 0

3 years ago

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