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Mademuasel [1]
2 years ago
12

Solve 3a 17 7 8 9 - (2² + 1)² + a when a = 8

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
7 0

\huge\text{Hey there!}

\huge\textbf{Assuming the equation should be:}

\mathbf{3a - (2^2 + 1)^2 + a}

\huge\textbf{Simplify it: }

\mathbf{3a - (2^2 + 1)^2 + a}

\mathbf{= 3(8) - (2^2 + 1)^2  + 8}

\mathbf{= 24 - (2^2 + 1)^2 + 8}

\mathbf{= 24 - (4 + 1)^2 + 8}

\mathbf{= 24 - 5^2 + 8}

\mathbf{= 24 - 25 + 8}

\mathbf{= -1 + 8}

\mathbf{= 7}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{\frak{Option\  B. 7}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

<h3>~\frak{Amphiitrite1040:)}</h3>
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3 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
leva [86]
Answer:
32 students

Explanation:
We are given that:
Students in the class can either speak French, German or both
15 students know French
17 students know German

Now, the maximum number in the class can be calculated by assuming that no student can speak both languages.
This means that the number of students will be the summation of those who know French only (15) and those who know German only (17)

In this case:
the maximum number of students = 15 + 17 = 32 students 

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4 0
3 years ago
Which expression is equivalent to i 233?<br> a)1<br> b)–1<br> c)i<br> d)–i
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We have to find the value of the expression i^{233}

We know that the below values.

i^2=-1\\i^4=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4

i^{233}=(i^4)^{58}\cdot i

Now, we know that i^4=1

Hence, we have

i^{233}=(1)^{58}\cdot i

i^{233}=1\cdot i

i^{233}=i

C is the correct option.

5 0
3 years ago
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According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health
katen-ka-za [31]

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

<em>a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?</em>

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74

The probability is then

P(X>65,000)=P(z>0.74)=0.22965

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

<em>b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?</em>

<em />

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22

The probability is then

P(X>65,000)=P(z>1.22)=0.11123

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05

The probability is then

P(X

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

<em />

<em>d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?</em>

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

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