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3 years ago

50 POINTS!

Mathematics

2 answers:

dusya [7]3 years ago

5 0

Answer:

C. Slope-Intercept Form

Step-by-step explanation:

The formula for the Slope-Intercept Form is y=mx+b, where m is the slope and (0,b) is the y-intercept. This equation follows y=mx+b, so C is your answer

ycow [4]3 years ago

4 0

Answer:

C. Slope-Intercept form

Step-by-step explanation:

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Pleasee help me, I don’t get it

Aleks [24]

Answer:

x = 4 sqrt(5)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + x^2 = 12^2

64+ x^2 =144

Subtract 64 from each side

x^2 = 144-64

x^2 =80

Take the square root of each side

sqrt(x^2) = sqrt(80)

x = sqrt(16*5)

x = 4 sqrt(5)

8 0

3 years ago

2 1/2 divided by 5/2

malfutka [58]

$\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=Expand%20%24%28a%20%2B%202%29%283a%5E2%20%2B%2012%29%28a%20-%202%29.%24" id="TexFormula1" titl

sashaice [31]

Answer:

3 $a^{4}$ - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3 $a^{4}$ + 12a² - 12a² - 48 ← collect like terms

= 3 $a^{4}$ - 48

5 0

3 years ago

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one

Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So 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.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that $p = 0.75$

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

$P(X = 6) + P(X < 6) = 1$