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Alenkinab [10]
2 years ago
15

Will mark Brainlest ASAP

Mathematics
1 answer:
djyliett [7]2 years ago
7 0

Answer:

Step-by-step explanation:

The lower value is 15,The upper value is 100, The median is 32 and 39, The lower quartile is 30, the upper quartile is 50, and the interquartile range is 36.

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Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1
love history [14]
The events A and B are independent if the  probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
 Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25. 
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.</span>
5 0
3 years ago
Read 2 more answers
Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?
Bogdan [553]

Step-by-step explanation:

\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}

\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}

\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}

\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}

\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}

\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}

Taking sin²θ common in both numerator & denominator, We get :

\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}

\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}

\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}

\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}

\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}

\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}

\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}

\mathsf{\implies \dfrac{5 - 1}{5 + 1}}

\mathsf{\implies \dfrac{4}{6}}

\mathsf{\implies \dfrac{2}{3}}

<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>

3 0
2 years ago
a metal strip is being installed around a workbench that is 7 feet long and 3 feet wide. find how much stripping is needed
VikaD [51]

Answer:

20 ft.

Step-by-step explanation:

7 ft and 3 ft.

3*2=6

7*2=14

6+14=20.

5 0
3 years ago
Read 2 more answers
Allan and Dave bowled together and their combined total score for one game was 375 points. Allen's score was 60 less than twice
boyakko [2]
315. You just need to take the total and subtract by 60.
7 0
3 years ago
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Rachel rode her bike for seven -quarters of a mile on Monday and nine-fifths of a mile on Tuesday. How many miles did she ride a
Romashka [77]

Answer:

3 11/20 miles

Step-by-step explanation:

Monday = seven -quarters of a mile

= 7/4 miles

Tuesday = nine-fifths of a mile

= 9/5 miles

How many miles did she ride altogether?

Total miles she rode altogether = Monday + Tuesday

= 7/4 + 9/5

= (35+36)/20

= 71/20

= 3 11/20

Total miles she rode altogether = 3 11/20 miles

5 0
3 years ago
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