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3 years ago

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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The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th

insens350 [35]

Answer: a = 8; b = 15; c = 17

Step-by-step explanation:

c = b + 2 and c = 2a + 1

b = c − 2 and a = $\frac{c-1}{2}$

c² = b² + a²

$c^{2} = (c-2)^{2} + \frac{c-1}{2}\\$

$c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}$

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$(c -1)(c-17)=0$

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If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = $\frac{17-1}{2} = 8$

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

$a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\$

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0

3 years ago

The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 6%.

irakobra [83]

Answer:

a. 0.8366

b. No

Step-by-step explanation:

We will use the central limit theorem which can be applied to a random sample from any distribution as long as the mean and the variance are both finite and the sample size is large (the sample size n should be greater than 30). Here we have that the tip percentage at the restaurant has a mean value of 18% and a standard deviation of 6%, then because of the central limit theorem, we know that the sample mean tip percentage is approximately normally distributed with mean 18% and standard deviation $6/\sqrt{40}%=0.9487%$ .

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b. If the sample size had been 15 rather than 40, then, the probability requested in part (a) could not be calculated from the given information, this because the central limit theorem only applies when the sample size is large, for example n > 30.

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3 years ago

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8_murik_8 [283]

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many d

WARRIOR [948]

Answer:

Step-by-step explanation:

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6 0

2 years ago