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2 years ago

Evaluate 356 - (-54)

Mathematics

1 answer:

dlinn [17]2 years ago

8 0

410 is your answer, 2 subtractions signs next to eachother make a plus sign, so in the end it’s just 356+54 :)

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MP Persevere with Problems Suppose 20

grigory [225]

9514 1404 393

Answer:

8 people

Step-by-step explanation:

If 20 of 140 people play tennis, then in a group of 504 people, we expect ...

(20/140) × 504 = 72 . . . . tennis players

If 1 of 9 tennis players has a coach, then in a group of 72 tennis players, we expect ...

(1/9) × 72 = 8 . . . . have a coach

We expect 8 of the 504 people have a tennis coach. We made this prediction by applying the given rates to the larger group.

7 0

2 years ago

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. 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 study indicates that 62% of students have have a laptop.

This means that $n = 0.62$

You randomly sample 8 students.

This means that $n = 8$

Find the probability that between 4 and 6 (including endpoints) have a laptop.

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157$

$P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815$

$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0

3 years ago

WILL MARK BRAINLIEST PLEASE HELP

vlada-n [284]

Answer:

2x + (-2x + 3) = 3

2x - 2x +3

0 + 3

2x-7 + (-2x) = -7

2x -2x - 7

0 -7

-7

-(5x -1) + 5x = 1

-5x +1 + 5x

-5x + 5x + 1

0 + 1

Step-by-step explanation: In addition, the parentheses help identify the individual addends. If adding a negative number, it is the same as subtracting. If there is a negative sign outside the parentheses, as in example c, you must distribute it: the signs of the numbers within the parentheses must be reversed when the parentheses are removed.

6 0

2 years ago

At a dinner at Priya's favorite restaurant, the meal cost $18 and a sales tax of $1.71 was added to the bill.

Naily [24]

Answer:

$3.23

Step-by-step explanation:

1.71 ÷ 18 = 0.095 = 9.5%

9.5% × 34 = 3.23

5 0

2 years ago

What is the g.c.f of 18x15

babunello [35]

Answer:

Step-by-step explanation:

List all possible factors of each number. The GCF will be the largest number they both share

Factors of 18: 1, 2, 3, 6, 18

Factors of 15: 1, 3, 5, 15

The largest number they both share is 3, so that is the GCF

4 0

2 years ago