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fredd [130]
3 years ago
9

Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $60, what would the

Mathematics
1 answer:
xenn [34]3 years ago
6 0

Answer:

It would be $9.

Because 60 * 0.15 = 9

Step-by-step explanation:

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SOVA2 [1]

Answer:

The first on is B. and the Second is A

Step-by-step explanation:

The first one gave you how much they make in a month and the hours they work in that month so division is the logical thing.

There are 12 months in a year and they give you the monthly income so that times 12 = your yearly income!

Hope that helps :)

7 0
3 years ago
Read 2 more answers
Solve the equation 3x2 + 11z – 4= 0.<br>Help I need to plug these in and find the two answers for x​
Lorico [155]

Step-by-step explanation:

Explanation:

Given:

−3x2+12x+1=0

This is in the form:

ax2+bx+c=0

with a=−3, b=12 and c=1

In order to decide which method to use, we can first examine the discriminant:

Δ=b2−4ac=122−4(−3)(1)=144+12=156

Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.

So there is no rational factorisation and we can discount the use of an AC method or similar.

We can use the quadratic formula or we can complete the square.

If we choose to use the quadratic formula, then we find:

x=−b±√b2−4ac2a

x=−b±√Δ2a

x=−(12)±√1562(−3)

x=−12±2√39−6

x=2±√393

When completing the square, note that b=12 is already divisible by a=−3 and by 

6 0
3 years ago
Marie bought souvenir at the beach that is made up of a square pyramid filled with sand. The base of the pyramid has a side leng
Artemon [7]

Answer:

the answer is 48cm

Step-by-step explanation:

all you do is you times 6 by 8

6 0
3 years ago
Read 2 more answers
A student takes a multiple-choice test that has 11 questions. Each question has five choices. The student guesses randomly at ea
marissa [1.9K]

Answer:

a) P(6) = 0.0097

b) P(More than 3) = 0.1611

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. 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.

A student takes a multiple-choice test that has 11 questions.

This means that n = 11

Each question has five choices.

This means that p = \frac{1}{5} = 0.2

(a) Find P (6)

This is P(X = 6).

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

P(X = 6) = C_{11,6}.(0.2)^{6}.(0.8)^{5} = 0.0097

P(6) = 0.0097

(b) Find P (More than 3).

Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So

P(X \leq 3) + P(X > 3) = 1

We want P(X > 3). So

P(X > 3) = 1 - P(X \leq 3)

In which

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

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

P(X = 0) = C_{11,0}.(0.2)^{0}.(0.8)^{11} = 0.0859

P(X = 1) = C_{11,1}.(0.2)^{1}.(0.8)^{10} = 0.2362

P(X = 2) = C_{11,2}.(0.2)^{2}.(0.8)^{9} = 0.2953

P(X = 3) = C_{11,3}.(0.2)^{3}.(0.8)^{8} = 0.2215

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0859 + 0.2362 + 0.2953 + 0.2215 = 0.8389

Then

P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8389 = 0.1611

P(More than 3) = 0.1611

8 0
4 years ago
Selecting an SUV with a blue exterior
frozen [14]

The answer is straightforward, by the "rule of product":

There are

3×8×2=48

3×8×2=48

different combinations (distinct possible cars) that can be created.

There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:

Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car

6 0
2 years ago
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