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BartSMP [9]
3 years ago
15

What is 15% of 76, rounded to two decimal places?

Mathematics
2 answers:
nlexa [21]3 years ago
8 0

Answer:

its 5.077

Step-by-step explanation:

you divide 75 by 15 which = to 5.066666667

then you round the first 6 to 7 and you get this

5.077 or 507.7 "don't mind me i ain't that good in math :("

galben [10]3 years ago
6 0

Answer: 11.4

Step-by-step explanation:

I did part / whole = % / 100

So x / 76 = 15 / 100

76 x 15 = 1140

1140 ÷ 100 = 11.4

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You don't need to construct a Venn Diagram, it is just part of the instruction. Just determine whether or not the argument is va
icang [17]

Answer:

It is valid.

Venn Diagram is attached.

I also provided a truth table.

I also provided a couple of names this argument could be called.

Please let me know if you have any questions about this question.

Thank you kindly.

Step-by-step explanation:

If a person is a poet, then that person is a loner.

If a person is a loner, then that person is a taxi driver.

If a person is a poet, then that person is a taxi drive.

This is in the form:

p->q

q->r

Therefore, p->r.

This is an example of a hypothetical syllogism.

The first thing my mind goes to when seeing this is the transitive property which says if A is related to B and B is related to C then A is related to C.

So this syllogism also has another name and it is called the principle of transitivity of implication.

Let p=person is a poet, q=person is a loner, and r=person is a taxi driver.

I'm going to make a truth table and compare the truth values of the propositions to the conclusion.

Since we have 3 variables, we are going to need 2^3=8 rows.

p     q       r        p->q    q->r      (p->q) and (q->r)        conclusion=(p->r)

T      T     T           T         T                     T                               T

T      T     F           T         F                    F                                 F

T      F     T           F         T                     F                               T  

T      F     F           F         T                     F                                F

F      F     F           T         T                    T                                 T

F      F     T           T         T                    T                                 T

F     T     F            T         F                    F                                 T

F    T     T             T         T                    T                                 T

So we are trying to see if we ever have the preposition part true and the conclusion false.

That doesn't happen so the argument is valid.

5 0
3 years ago
What is the sign of the product (−4)(2)(−3)(6)?
lana [24]

Answer:

The sign would be positive.

The answer would be 144.

Step-by-step explanation:

Note that there are two negative numbers and two positive numbers:

positive x positive = positive answer.

negative x negative = positive answer.

Solve:

(-4) * (-3) = 12

2 * 6 = 12

12 * 12 = 144

144 would be your answer.

~

6 0
3 years ago
Read 2 more answers
What is the radical form of the expression 432 ? PLEASE HELP!!!!!
oksano4ka [1.4K]

Answer:

12√3

Step-by-step explanation:

well first divide 432 by 3

that gives you 144

so you have 144×3

you then but them both in radicals

144 is a perfect square i.e 12×12=144

3 isnt

therefore the answer is 12√3

4 0
3 years ago
Genetic Defects Data indicate that a particular genetic defect occurs in of every children. The records of a medical clinic show
Dovator [93]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that there exist 60 or more defected children is P(x \ge 60)=0.0901

Looking at the value for this probability we see that it is not so small to the point that the observation of this kind would be a rare occurrence

Step-by-step explanation:

From the question we are told that

        in every 1000 children a particular genetic defect occurs to 1

        The number of sample selected is n= 50,000

The probability of observing the defect is mathematically evaluated as

              p = \frac{1}{1000}

                 = 0.001

The probability of not observing the defect is mathematically evaluated as

            q = 1-p

               = 1-0.001

               = 0.999

The mean of this probability is mathematically represented as

                 \mu = np

Substituting values

                \mu = 50000*0.001

                    = 50

The standard deviation of this probability is mathematically represented as

   \sigma = \sqrt{npq}

Substituting values

      = \sqrt{50000 * 0.001 * 0.999}

     = \sqrt{49.95}

     = 7.07

 the probability of detecting  x  \ge60 defects can be represented in as  normal distribution like

       P(x \ge 60)

in standardizing the normal distribution the normal area used to approximate P(x \ge 60) is the right of 59.5 instead of 60 because  x= 60 is part of the observation

The z -score is obtained mathematically as

                z = \frac{x-\mu }{\sigma }

                   = \frac{59.5 - 50 }{7.07}

                  =1.34

The area to the left of z = 1.35 on the standardized normal distribution curve is 0.9099 obtained from the z-table shown z value to the left of the standardized normal curve

Note: We are looking for the area to the right i.e 60 or more

  The total area under the curve is 1

So

    P(x \ge 60) \approx P(z > 1.34)

                     = 1-P(z \le 1.34)

                    =1-0.9099

                  =0.0901

             

   

3 0
3 years ago
What is the following sum 3b^2
densk [106]

The given expression is 3b^2*(\sqrt[3]{54a}) + 3*(\sqrt[3]{2ab^6})

This can be simplified as :

= 3*b^2*(\sqrt[3]{27 *2*a}) + 3*(\sqrt[3]{2*a*b^6})

We know that: \sqrt[3]{27}  = 3

Similarly we also can simplify: \sqrt[3]{b^6}  = b^2

So our expression will look like this:

= 3*3*b^2*(\sqrt[3]{2a}) + 3*b^2*(\sqrt[3]{2a})

= 9b^2*(\sqrt[3]{2a}) + 3b^2*(\sqrt[3]{2a})

=\sqrt[3]{2a}*(9b^2 + 3b^2)

=\sqrt[3]{2a}*(12b^2)

This can also be written as:

12b^2(\sqrt[3]{2a})

So the Answer is Option B


6 0
3 years ago
Read 2 more answers
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