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3 years ago

5

Mrs. Woltjer teaches a science class with 34 students. Mrs. Woltjer divides the class into 2 equal-sized groups alphabetically b

y last name to work on final presentations. What is the likelihood that Aaron Bennings and Keiko Yoshino will be in the same group?

1 answer:

vladimir1956 [14]3 years ago

3 0

Step-by-step explanation:

34/2 is 17

the likelyhood is 1/2 but it won't happend because Aaron's last name starts with a B and Keiko's last name start with Y

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Ahat contains pieces of paper marked with the numbers 1 through 16. Is the

Anika [276]

Answer:as likely as not

Step-by-step explanation:

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3 years ago

Read 2 more answers

Michael has a set of 24 math problems to do for homework. Michael completed 1/4 of his homework in 3/4 of an hour. If he continu

gtnhenbr [62]

Given:

Total number of problems = 24

Michael completed $\dfrac{1}{4}$ of his homework in $\dfrac{3}{4}$ of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in $\dfrac{3}{4}$ of an hour $=\dfrac{1}{4}$

Part of work done in an hour $=\dfrac{4}{3}\times \dfrac{1}{4}$

$=\dfrac{1}{3}$

Therefore, he complete $\dfrac{1}{3}$ of his homework in 1 hour. Hence, all options are incorrect.

3 0

2 years ago

Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

there are 798 calories in six 10-ounce bottles of apple juice how many calories are there in one 10-ounce bottle of apple juice

bulgar [2K]

798 calories are in 6 10-ounce bottles of Apple juice. We have to calculate how many calories are in one 10-ounce bottle of Apple juice. We have just to divide 798 calories by 6: 798 : 6 = 133. Answer: There are 133 calories in one 10-ounce bottle of Apple juice

7 0

3 years ago

What answer to this question?

horrorfan [7]

Answer:

221

Step-by-step explanation:

13 x 17 = 221

4 0

3 years ago