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Aleksandr [31]
3 years ago
7

Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3 2 (3) + 6

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
2(3)+6

Explanation

2(3+3)=12


2(3)+6
6+6=12

Equivalent
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A triangle can be formed with side lengths 4 in, 5 in, and 8 in. <br> a. True <br> b. False
Brilliant_brown [7]

Triangle Inequality:
The sum of the length of any two sides of a triangle must be greater than the length of the third side.

4 + 5 = 9 > 8 Check
4 + 8 = 12 > 5 Check
5 + 8 = 13 > 4 Check

All three combinations prove true, therefore the correct answer is A) True.
3 0
4 years ago
In a bag of keys, there are 15 silver keys, 7 black keys, 8 copper keys, and 2 painted keys of various colors. One key is drawn
Svetlanka [38]
<span>15 silver keys,
  5 black keys,
11 copper keys,
  4 painted 
 
35 total

15 + 11 = 26

26/35 = 0.7428 </span>≈ 74.28% probability
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3 years ago
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Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in
n200080 [17]

Answer:

15 ·

16 ···

17 ··

18 ·

19

Step-by-step explanation:

There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:

17 ··

3 0
2 years ago
A researcher collects data on the number of times race horses are raced during their careers. The veterinarian finds that the av
vesna_86 [32]

Answer:

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

Step-by-step explanation:

<u>Explanation</u>:-

The veterinarian finds that the average number of races a horse enters is 15.3

The mean of the sample x⁻ = 15.3

Given standard deviation of the sample 'S' = 6.8

Given sample size 'n' = 25

Degrees of freedom = n-1 =25-1 =24

The tabulated value 't' = 2.064 at two tailed test 0.95 level of significance

<u> 95% confidence for µ, the average number of times a horse races</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +  t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u></u>(15.3- 2.064 \frac{6.8}{\sqrt{25} } , 15.3 +  2.064\frac{6.8}{\sqrt{25} } )<u></u>

(15.3 - 2.80704 ,15.3 +2.80704)

(12.493 , 18.107)

<u>Conclusion</u>:-

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

3 0
3 years ago
On which coastline was the ancient kingdom of Kalinga located?
nikklg [1K]
It was located around the north eastern <span />
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