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2 years ago

5

An employee works 6 hr. on Monday, 8 hr. on Tuesday, and 9 hr. on Wednesday and received a $51 bonus. What is his hourly pay rat

e if his gross income (before deductions) was $350 for the three days?

2 answers:

Lina20 [59]2 years ago

3 0

U have to divide the total money to the hours

Mrrafil [7]2 years ago

3 0

Answer:

you just devide the total money by the hours

Step-by-step explanation:

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Paul bought a soft drink and a sandwich for $9.90. What equation may be used to find the price of each item if the sandwich cost

UNO [17]

Answer:

D

Step-by-step explanation:

The other ones don't make sense. The answer is 3.5x+x=9.90

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What is the surface area of the prism represented by the net? Plz zzz hurry I have to turn it in soon

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2 years ago

Help Please !! 10 point

yulyashka [42]

8 for 6 is the answer I think

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3 years ago

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Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting

Murrr4er [49]

Answer:

See explanation below.

Step-by-step explanation:

1) First let's take a look at the combinations that sum up 10:

1+3+ 6,
1+ 4+ 5,
2+2+6,
2+3+5,
2 + 4 + 4,
3+3+4

Notice that when we have 3 different numbers on the dice, we can permute them in 6 different ways. For example: Let's take 1 + 3 + 6, we can get this sum with these permutations:

1 + 3 + 6, 1 + 6 + 3, 3 + 6 + 1, 3 + 1 + 6, 6 + 1 + 3, 6 + 3 + 1.

And when we have two different numbers on the dice, we can permute them in 3 different ways:

2 + 2 + 6, 2 + 6 +2, 6 + 2 + 2.

So now we're going to write down the 6 combinations that sum up 10 but we're going to write down how many permutations of them we get:

1+3+ 6 : 6 permutations
1+ 4+ 5 : 6 permutations
2+2+6: 3 permutations
2+3+5: 6 permutations
2 + 4 + 4: 3 permutations
3+3+4: 3 permutations

Total of permutations: 6 + 6 + 3 + 6 + 3 + 3 =27.

Thus we have 27 different ways of getting a sum of 10.

2) Now we're going to take a look at the combinations that sum up 9 and we're going to proceed in a similar way:

1 + 2 + 6: 6 permutations
1+3+5: 6 permutations
1+4+4: 3 permutations
2+ 3+ 4: 6 permutations
2+2 +5: 3 permutations
3+3+3: 1 permutation.

Total of permutations: 6 + 6 + 3 + 6 +3 + 1 = 25.

Thus we have 25 different ways of getting a sum of 10

And we can conclude that the probability of getting a total of 10 is larger than the probability to get a total of 9.

5 0

3 years ago

Please help very urgent

Alik [6]

Answer:

32, <u>16</u>, <u>8</u>, <u>4</u>, <u>2</u>, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

3 0

2 years ago

Read 2 more answers