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Sliva [168]
1 year ago
12

A fair 6-sided die is rolled 4 times and the resulting sequence of 4 numbers is recorded. How many different sequences consist e

ntirely of even numbers
Mathematics
1 answer:
Charra [1.4K]1 year ago
7 0

Answer:

81

Step-by-step explanation:

Rolling 6-sided fair die you can throw out three even numbers: 2, 4, 6.

If a fair 6-sided die is rolled 4 times, then each of 4 times each of three even numbers can be thrown out. Then the number of different sequences that consist entirely of even numbers is

3\cdot 3\cdot 3\cdot 3=3^4=81.

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2 years ago
A school district has a student population of $6,734 students. If the maximum class size is 25 students. How many more teacher m
emmasim [6.3K]

Answer:

53 teachers

Step-by-step explanation:

Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:

6,734 / 25 = 269.36

Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).

If we take 269 teachers and 25 students per class, we get:

269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.

That means that the number of teachers needed is 270.

It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.

8 0
2 years ago
A baby wriggled so much that weighing him at the clinic was a problem. So the doctor held the baby and stood on a scale. Then th
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X = <span>weight of the baby.
y = </span>weight of the doctor.
z = weight of the nurse.

x + y = 78 so y = 78 - x
x + z = 69 so z = 69 - x
x + y + z = 142

substitute y = 78 - x and z = 69 - x into x + y + z = 142

x + y + z = 142
x +78 - x + 69 - x = 142
-x + 147 = 142
-x = - 5
 x = 5

answer

<span>the weight of the baby was 5 kg</span>
6 0
2 years ago
Read 2 more answers
If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?
attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

7 0
1 year ago
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Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo con
ch4aika [34]

Answer:

8 Shampoo Concentrate

Step-by-step explanation:

There's a ratio of 9:2 so for every 9 cups of water there's two cups of shampoo concrete.

We'll need 9 multiplied by 4 is 36

so we need to multiply 2 with 4

4 multiplied by 2 is 8

7 0
2 years ago
Read 2 more answers
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