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sweet-ann [11.9K]
3 years ago
5

Addmaths probability. I need helpp for question a and b thank youu

Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

sorry this is soo blur

please follow me and mark has brilliant please

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Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

8 0
1 year ago
All 14 members of the high school swim team borrowed $8 each from their coach to purchase dinner while at an away meet. Write a
sladkih [1.3K]

Answer:

14 * 8 = money given out

Step-by-step explanation:

#of people given money * (times) amount per person.

6 0
3 years ago
Work out the circumference of this circle.<br> Give your answer in terms of 3.142<br> r=6 mm
soldi70 [24.7K]

Answer:

C≈37.7

Step-by-step explanation:

C=2πr=2·π·6≈37.69911

<h3><em>i rounded</em></h3><h3><em /></h3>
6 0
3 years ago
Receiving
forsale [732]

Answer: 30.8%

Step-by-step explanation:

Given

Total students receiving financial aid are 6101

Students who are graduate and receiving financial aid are 1879

Probability is the ratio of the favorable and total outcomes

So, the probability is  given by

P=\dfrac{1879}{6101}\\\\P=0.307\ \text{or}\ 30.8\%

8 0
3 years ago
Read 2 more answers
Help me please i don’t understand
LenaWriter [7]

Answer:

90

Step-by-step explanation:

There are 10 red candies, 18 green candies, 9 yellow candies, and 13 brown candies.

10 + 18 + 9 + 13 = 50.

There is a total of 50 candies. Out of the 50 candies, 18 are green.

\frac{18}{50} \\

You have to get to 250 .That means you do  \frac{18}{50}  = \frac{x}{250}

250 divided by 50 = 5.

18 x 5 = 90.

Therefore, she can expect 90 green candies

4 0
3 years ago
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