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nika2105 [10]
3 years ago
9

5 points

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

Angle = 54

Step-by-step explanation:

Given

Kano = 45;

Kwara  = 410;

Ogun = 105;

Ondo = 126;

Oyo = 154

Total Distribution = 840

Required

Determine the angle subtended by Ondo (in a pie chart)

The general formula to calculate subtended angle in a Pie chart is;

Angle = 360 * \frac{Frequency}{Total\ Frequency}

In this case of Ondo

Frequency = 126

Total Frequency = Total Distribution = 840

Substitute these values in the given formula;

Angle = 360 * \frac{126}{840}

Angle = \frac{360 *126}{840}

Angle = \frac{45360}{840}

Angle = 54

<em>Hence, the angle subtended by Ondo is 54</em>

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It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz
Alla [95]

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

7 0
3 years ago
I need to know what the answer to this because I’m failing
Dafna1 [17]

Answer:

12

Step-by-step explanation: 12:3=4, 4 x 2= 8

4 0
3 years ago
Which cell function must occur for an organism to have enough water and nutrients?​
Svet_ta [14]

Answer:

i think the endocytosis

Step-by-step explanation:

5 0
3 years ago
50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world t
Harman [31]

Answer:

C

Step-by-step explanation:

So, we started out with 2,400 black rhinos.

And we know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have <em>90%</em> of the previous year's rhinos.

Therefore, our function is:

f(x)=2400(.9)^x

We can do some elimination first.

First, the starting point or y-intercept <em>must </em>be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is <em>not</em> a straight line.

However, to double check, let's check the population after 10 years using our function. So:

f(10)=2400(.9)^{10}

Use a calculator:

f(10)\approx837

So, after 10 years, the population should be around 840.

B is definitely <em>not</em> 840 (at x=10). However, C is right around it.

Therefore, we can conclude that C is the right answer.

And we're done!

6 0
3 years ago
An European style café latte uses 1.5oz of espresso and 8oz of milk. You accidentally add 12oz of milk to 1.5oz of espresso. How
ELEN [110]

Answer:

2.5

Step-by-step explanation:

The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.

3 0
3 years ago
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