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3 years ago

How long is ⅓ of one hour?

Mathematics

2 answers:

nalin [4]3 years ago

8 0

20 minutes should be right

ivann1987 [24]3 years ago

7 0

Answer: 20 minutes

Step-by-step explanation:

An hour is 60 minutes, so (1/3)(60 min) = 20 min.

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the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai

Blababa [14]

Let $X$ be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

$P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10$

where $Z$ follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

$P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)$

where $F_Z(z)=P(Z\le z)$ denotes the CDF of $Z$ , and $F_Z^{-1}$ denotes the inverse CDF. We have

$z_1=F_Z^{-1}(0.90)\approx1.2816$

Similarly, because 20% of students obtain less than 40 marks, we have

$P(X$

so that

$P(Z$

Then $\mu,\sigma$ are such that

$\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma$

$\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma$

and we find

$\mu\approx53.8739,\sigma\approx16.4848$

3 0

4 years ago

How many different committees of 3 men and 4 women can be formed from 6 men and 8 women?

Mademuasel [1]

2 committees. 6 is divisible by 3 twice, 8 is divisible by 4 twice.

3 0

3 years ago

A recipe calls for 3/4 cups of flour . Estevan wants to make 1/3 of the recipe how much flour will he need

romanna [79]

1/3 × 3/4 = 1/4 :) hope this helped!

7 0

3 years ago

Read 2 more answers

Choose the numbers to complete the statement about the expression.

mrs_skeptik [129]

Answer:

1 + and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to

10, so the fraction is nearest to 1.

The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.

The value of the expression can be estimated as 1 + one-half = 1 and one-half.

5 0

2 years ago

Sample Response: You would graph the equation f(x) = –x + 3 for input values less than 2. There would be an open circle at the p

fgiga [73]

Answer:

Step-by-step explanation:

What did you include in your response? Check all that apply.

There would be an open circle at (2, 1). Yes

There would be a closed circle at (2, 3). Yes

There would be an open circle at (4, 3). Yes

There would be a closed circle at (4, −4). Yes

Endpoints that are not included in the domain of a particular piece of a function are represented by an open circle. Yes

7 0

3 years ago