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suter [353]
3 years ago
13

A small group of students are aged 12, 14, 12, 15, 14, 13, 12, 12. What is their mean age?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
5 0

Answer:

12

Step-by-step explanation:

12 is the most number in the equation

patriot [66]3 years ago
3 0

Answer:

Mean Age: 13 years

Step-by-step explanation:

To find the mean or average in mathematics, add up all data in a set, and divide by the amount of individual values there are in the set.

Here's what I mean:

12+14+12+15+14+13+12+12 = 104 / 8 different ages in the set = 13

Hope this helped :) .

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$34.98 with 8.2 tax
Paraphin [41]

Answer:

$37.85

Step-by-step explanation:

Here the price is $34.98 and there's an 8.2% tax on that.  To obtain the after-tax amount due, multiply $34.98 by (1 + 0.082), or 1.082, obtaining:

1.082($34.98) = $37.85 (rounded to the nearest cent)

7 0
3 years ago
Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate
kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality x^{2}-5x+4\leq 0. To do that, factorize, then we have that (x-4)(x-1)\leq 0. This implies that

x-1\leq 0\, \text{and}\, x-4\geq 0

or

x-1 \geq 0\, \text{and}\, x-4\leq 0

In the first case the solution is the empty set \emptyset. In the second case the solution is the interval 1\leq x \leq 4. Now we have that

A=[1,4]

B=(3,5)

C=(3,4].

To show that A\cap B\subseteq C consider x\in A\cap B. Then 1\leq x \leq 4\, \text{and}\, 1, this implies that 3, then x\in C. Now, to show that C\subseteq A\cap B consider x\in C, then 3, then 1\leq x \leq 4\, \text{and}\, 3, then x\in [1,4] \, \text{and}\, x\in (3,5), this implies that x\in A\cap B.

Observe the image below.

7 0
3 years ago
If a factory can produce 850 teddy bears in 2 days, how many teddy bears will it produce in 3 days?
spayn [35]

Answer:

Step-by-step explanation:

I believe if you multiply 850×2= 1700.

Multiply 850×3..

That would equal to 2550.

8 0
3 years ago
Read 2 more answers
The chagram shows a regular octagon joined to an equilateral triangle
marysya [2.9K]

Answer:

x = 165°

Step-by-step explanation:

x° = 360 - (the measure of one interior angle of the octagon + the measure of one interior angle of the equilateral ∆)

Each interior angle of a regular octagon = 135° ([tex] \frac{(n - 2)180}{n} = 135°)

An equilateral ∆ has equal angles, each measuring 60°.

Therefore:

x° = 360° - (135° + 60°)

x = 360 - 195

x = 165°

3 0
2 years ago
Read 2 more answers
Which expression is equivalent to 9x − 2x + 3 and why?
PIT_PIT [208]
9x - 2x = 7x. 7x +3 is the answer. Hope it helps ;) 
5 0
3 years ago
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