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nexus9112 [7]
3 years ago
15

Evaluate. 43 – 10 ÷ 2 + [(7 + 3) • 3]

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0
<span>43 – 10 ÷ 2 + [(7 + 3) • 3] = 68.</span>
LUCKY_DIMON [66]3 years ago
6 0

Answer:

Value of  43 – 10 ÷ 2 + [(7 + 3) • 3] is 68 .

Step-by-step explanation:

As the expression given in the question be as follow .

= 43 – 10 ÷ 2 + [(7 + 3) • 3]

It also written as

= 43 - \frac{10}{2}+ [(7+3)\times 3]

= 43 - 5+ [7\times 3+3\times 3]

= 43 - 5+ [21+9]

= 43 - 5+ [30]

= 43 -5 +30

= 73 -5

= 68

Therefore the value of  43 – 10 ÷ 2 + [(7 + 3) • 3] is 68 .

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tamaranim1 [39]
When using substitution, we are imputing an equation in place of a variable to eliminate one of the variables in the equation so that we can solve for the remaining variable.

For this example, we will be plugging in (-4y+12) wherever "x" is in the other equation.

3/4 x -5y = 7
3/4(-4y+12) -5y =7
((3/4)(-4y))+((3/4)12)-5y=7
-3y+9-5y=7
-8y= -2
y=(1/4)


Now find "x" by plugging in the y-value.
x=(-4*(1/4))+12
x= -1 +12
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any questions? feel free to comment below!
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What is the vertex form of f(x)=2x2+ 6x -8
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Hopefully this helped!!

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Based on aâ poll, among adults who regret gettingâ tattoos, 18â% say that they were too young when they got their tattoos. Assum
Sergeeva-Olga [200]

Answer:

a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.

b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d) No

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult 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.

18% say that they were too young when they got their tattoos.

This means that p = 0.18

Eight adults who regret getting tattoos are randomly selected

This means that n = 8

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0).

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

P(X = 0) = C_{8,0}.(0.18)^{0}.(0.82)^{8} = 0.2044

20.44% probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1).

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

P(X = 1) = C_{8,1}.(0.18)^{1}.(0.82)^{7} = 0.3590

35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

Either a. or b.

20.44 + 35.90 = 56.34

56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?

Now n = 9

It is significantly low if it is more than 2.5 standard deviations below the mean.

The mean is E(X) = np = 9*0.18 = 1.62

The standard deviation is \sqrt{V(X)} = \sqrt{n*p*(1-p)} = \sqrt{9*0.18*0.82} = 1.15

1 > (1.62 - 2.5*1.15)

So the answer is no.

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Hello!

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<h3>Hope this helps!</h3>
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