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Alenkinab [10]
3 years ago
9

How can you use mental math to determine if a ratio is simplified

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
You can see if it is simplified by checking if the numbers can be divided with the same number. Typically, this is done mentally.
Ex: You can mentally determine that 10:4 is not simplified, because both can be divided by 2.
You can then determine that 5:2 is simplified.
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What is the exact volume of the cone?
Fudgin [204]
We know, Volume of a cone = πr² h/3
It would be: π * (4)² `10/3
= π * 16 * 10 / 3
= 160π / 3 cm³

In short, Your Answer would be Option C

Hope this helps!
7 0
3 years ago
(09.02 MC) Kite DCFE is inscribed in circle A shown below.
AlexFokin [52]
<span>m∠DEF= 1/2(the measure of the arc DEF
</span><span>m∠DEF= 1/2(232)
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4 0
3 years ago
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If y is directly proportional to x squared <br> and y = 3 when x = 2, what is y when x = 8?
Anestetic [448]

Answer:

<u><em>y = 63</em></u>

Step-by-step explanation:

<em>y is directly proportional to x²</em>

<em>As given,</em>

<em>when y = 3 => x = 2</em>

<em>So, 3 = 4 - 1</em>

<em>Which means the relation can be written as :-</em>

<em>y = x² - 1</em>

<em></em>

<em>Substituting x = 8</em>

<em>y = (8)² - 1</em>

<em>y = 64 - 1</em>

<u><em>y = 63</em></u>

5 0
2 years ago
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A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of
lina2011 [118]

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean     x = 31,5

Sample standard deviation   s₂  = 8,35

Sample size        n₂ = 11

Ti-84 Calculator

Sample mean     y = 46,2

Sample standard deviation   s₁  = 9,99

Sample size        n₁ = 12

t(s)  = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s)  = 12,9 / √(99,8/12) + (69,72/11)

t(s)  = 12,9 / √8,32 + 6,34

t(s)  = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis               H₀      y - x > 1,80

Altenative Hypothesis       Hₐ      y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c)   critical value for

t(c) α; n₁ +n₂-2            df = 12 +11 -2     df  = 21

If we choose  CI = 95 %    then  α = 5 %   α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

8 0
3 years ago
what is The temperature was 68°F. Later that day the temperature was 82°F. How much does the temperature need to rise or fall to
patriot [66]
The temperature needs to fall 14 degrees F.
7 0
3 years ago
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