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jek_recluse [69]
3 years ago
10

At a restaurant the bill for a family's dinner is $52.29. The family adds a tip of 15% of that cost.what is the amount of the ti

p?
A:$7.83
B:$15.00
C:$52.35
D:$60.03
Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer: The answer is $7.84 but that’s not a choice so I would go with $7.83

Step-by-step explanation:

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Hullan's age is three times Thomas's age. The sum of their ages is 92. What is Thomas's age?
Ksju [112]

Answer: 23

Step-by-step explanation: You can start by setting this up as an equation like so,

X + 3(X) =92 where x is Thomas’ age and the 3x indicates Hullans age being 3 times greater than Thomas.

Combine the x’s

4(x) = 92

Divide by 4 X = 92/4

92/4 = 23, x = 23

7 0
3 years ago
In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t
torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is 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.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that p = 0.7

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

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

P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0
3 years ago
9x +35=105x-72<br> Can you solve it?
Otrada [13]
I did my math on a piece of paper but the answer would be x= 107/96
3 0
3 years ago
Evaluate 6x + 11 when x = 7
nlexa [21]

Answer:

53

Step-by-step explanation:

To evaluate 6x + 11, we must substitute the value of x.

Since we know that x = 7, it is easier to evaluate the expression;

6x + 11

6(7) + 11

Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;

6(7) + 11

42 + 11

When you add the two numbers you get:

53

4 0
4 years ago
If f(1) = 2 and f(n) = –2f(n − 1) then find the value of f(5).
dybincka [34]

Answer: 2f

Explanation:

f(1)=8

f(2)= 2(8) = 16

f(3) = 2(16) = 32

f(4) = 2(32) = 64

f(5) = 2(64) =128

6 0
2 years ago
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