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3 years ago

I need a help with this

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer:

130.356 g

Step-by-step explanation:

The problem tells you there is a proportional relationship, so set up a proportion and solve..

99.684 is to 11.7 as X is to 15.3

Written as a math equation like this...

99.684/11.7 = X/15.3

Now solve for X

130.356 = X (multiply both sides by 15, then simplify)

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3 years ago

Read 2 more answers

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.

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4 years ago

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet tall and has a base with a circumferen

tatyana61 [14]

Answer:

The volume of the sculpture is 67.824 ft^3

Step-by-step explanation:

In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.

Mathematically, the volume V of the sculpture is given by;

V =1/3 * π * r^2 * h

Now, we have the height directly from the question but we do not have the value of the radius.

We can obtain the value of the radius from the circumference of the base

Mathematically, the circumference C of the base of the cone is given by;

C = 2 * π * r

Inputing the value of the circumference, we have;

22.608 = 2 * 3.14 * r

r = 22.608/(2 * 3.14)

r = 22.608/6.28

r = 3.6 feet

Now plugging these values into the volume equation, we have

V = 1/3 * 3.14 * 3.6^2 * 5

V = 67.824 ft^3

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4 years ago

Which of the sets of ordered pairs represents a function? A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2), (6, −3),

jek_recluse [69]

Answer:

Neither A or B

Step-by-step explanation:

Hello There!

In order for a set of ordered pairs to represent a function none of the x values can repeat

In answer choice A the x value 7 repeats therefore the set of ordered pairs do not represent a function

In answer choice B the x value 7 repeats therefore the set of ordered pairs do not represent a function

so we can conclude that neither set of ordered pairs represent a function

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3 years ago