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AURORKA [14]
3 years ago
13

The probability that Josslyn is on time for a given class is 99 percent. If there are 32 classes during the semester, what is th

e best estimate of the number of times out of 32 that Josslyn is on time to class? Round your answer to the nearest integer
Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer:

The best estimate is 32 out of 32 times, she will be early to class

Step-by-step explanation:

The probability of being early is 99% = 99/100 = 0.99

So out of 32 classes, the best estimate for the number of times she will be early to class will be;

0.99 * 32 = 31.68

To the nearest integer = 32

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Given that tan^2 theta=3/8,what is the value of sec theta?
algol [13]

Answer:

The value of SecФ is  \pm \sqrt{\frac{11}{8}} .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = \frac{3}{8}

Or, tanФ = \sqrt{\frac{3}{8} }

∵ tanФ = \frac{Perpendicular}{Base}

So,  \frac{Perpendicular}{Base} =  \sqrt{\frac{3}{8} }

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( \sqrt{3} )² + ( \sqrt{8} )²

Or,  Hypotenuse² = 3 + 8 = 11

Or,  Hypotenuse = ( \sqrt{11} )

Now SecФ = \frac{Hypotenuse}{Base}

or, SecФ = \frac{\sqrt{11}}{\sqrt{8}} = \sqrt{\frac{11}{8} }

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

or, Sec²Ф = 1 +  \frac{3}{8}

Or, Sec²Ф = \frac{11}{8}

Or,  SecФ = \pm \sqrt{\frac{11}{8}}

Hence The value of SecФ is  \pm \sqrt{\frac{11}{8}} . Answer

7 0
3 years ago
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Emily is entering a bicycle race for charity. Her mother pledges $0.70 for every 0.5 mile she bikes. If Emily bikes 10 miles, ho
Jlenok [28]

Answer:

Emily's mother will donate $20

Step-by-step explanation:

0.5x20=10

7 0
3 years ago
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14 - 2 ( 1+2)<br><br> answer
riadik2000 [5.3K]
That would be 8. first parenthesis, then multiply, then subtract.
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3 years ago
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X+2y=4<br> 2x-2y=5 <br> what is the answer
Tom [10]

x + 2y = 4

2x - 2y = 5

Adding both the equations:

x + 2y + 2x - 2y = 9

3x = 9

x = 3

y = 4-x /2 = 1/2

4 0
3 years ago
Rose works eight hours a day for five days a week. how many hours will she work in six weeks
MAVERICK [17]
8 hrs a day for 5 days a week = (8 * 5) = 40 hrs per week
in 6 weeks.....40 * 6 = 240 hrs <==
6 0
3 years ago
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