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Art [367]
3 years ago
7

Heather has a bag with 16 red blocks, 11 blue blocks, 9 purple blocks, 15 green blocks, 8 yellow blocks, and 20 orange blocks. I

f she was to draw a block out of the bag, record the color and replace the block back in the bag, repeating 500 times, what would most likely be the probability of drawing an orange block (round to the nearest hundredth)?
A) 0.14
B) 0.19
C) 0.20
D) 0.25
Mathematics
1 answer:
forsale [732]3 years ago
3 0
There is a total of 16+11+9+15+8+20 = 79 blocks.  Since she is replacing the block each time it is drawn, the probability that she draws an orange block is always the same (10 draws or 500 draws).  Since 20 of the blocks are orange, the probability would be

20/79 or

D) 0.25
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Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.
Darina [25.2K]

Answer:

\cos( \theta)  =  \frac{5}{8}  \\  {8}^{2}  =  {5}^{2}  +  {opp}^{2}  \\ {opp}^{2}  = 64 - 25 = 39 \\ opp =  \sqrt{39}  \\  \sin(\theta)  =  \frac{\sqrt{39}}{8}  \\  \tan(\theta)  =  \frac{ \sqrt{39} }{5}  \\  \cot(\theta)  =  \frac{1}{\tan(\theta)}  =  \frac{1}{\frac{ \sqrt{39} }{5}}  \\ \cot(\theta)  =  \frac{5}{ \sqrt{39} }  \\  \csc( \theta) =  \frac{1}{\sin(\theta)}  =  \frac{1}{\frac{\sqrt{39}}{8}}   \\ \csc( \theta) = \frac{8}{ \sqrt{39} }  \\  \sec( \theta) =  \frac{1}{\cos( \theta) }  =  \frac{1}{ \frac{5}{8} }  \\ \sec( \theta) =  \frac{8}{5}

5 0
2 years ago
2.
dimaraw [331]

Answer:

-7 < -4 < 0 < 7

Step-by-step explanation:

Given

Change: -4, 7, -7 and 0

Required

Compare them

From the list of given options, we can observe that the inequality < is used in all options.

This implies that we arrange from least to highest

The least is -7

Then, -4

Then 0

And lastly, 7

So, we have:

-7 < -4 < 0 < 7

3 0
2 years ago
At a school, 1 out of every 3 girls who tried out for basketball made the
nikdorinn [45]

Answer:

1:2

Step-by-step explanation:

because only one gets into the team

and the remaining two don't make the team

8 0
3 years ago
Help me with this please
nalin [4]
This is incorrect. X can be negative, making the expression on the left less than 0. If x were -10, then:
3 x -10 + 1 > 0
-30 + 1 > 0
-29 > 0
Is NOT true.
5 0
2 years ago
Plsss help will mark brainliest
DiKsa [7]
C, because 7 divided, or over nine, is 7/9
Hope this helps!
3 0
3 years ago
Read 2 more answers
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