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4 years ago

(PLEASE ANSWER + BRAINLIEST ANSWER!!)

Mathematics

2 answers:

murzikaleks [220]4 years ago

8 0

The arc length, radius and the included angle are related as

$r\theta=\widehat {XYZ}$ where $\theta$ is in radians.

The radius $r$ is given by

$r=\frac{\widehat {XYZ} }{\theta} \\ r=\frac{10.8}{1.8} \\ r=6\;units$

Correct choice is (B).

Aleksandr-060686 [28]4 years ago

6 0

B is the answer hope this helps and please mark me as brainliest

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The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

Perform the operation. Write your answer in scientific notation. 7×10^6-5.3×10^6

Lady_Fox [76]

7 • 10^6 - 5.3 • 10^6
= 1.7 • 10^6 in scientific notation

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3 years ago

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Anybody know this need help??

hichkok12 [17]

Answer:

42 mi

Step-by-step explanation:

To find the perimeter, just add up all the side lengths.

13 + 14 + 15 = 42

<em>Note this is mi and not mi² since this is not area.</em>

5 0

3 years ago

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Jack has $150 in his savings

Keith_Richards [23]

Answer:

26 days

Step-by-step explanation:

180+10X=50+15X

X= 26 days

440

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4 years ago

What is x minus 4.7 divided by 3 =-8

AleksandrR [38]

X= -193 over 30
Or X= -6.43 recurring

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3 years ago

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