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3 years ago

4 students is 20% of 20 students is it correct

Mathematics

2 answers:

dezoksy [38]3 years ago

8 0

Yes ma'am it is correct

Zinaida [17]3 years ago

6 0

Correct. To find this answer you would make 4 out of 20 an equivalent expression to 100. 20*5=100 4*5=20, therefor 4 out of twenty is equal to 20 out of 100, or 20%.

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John is filling the bathtub that is 18 inches deep. He notices that it takes two minutes to fill the tub with three inches of. W

morpeh [17]

Answer: No he isn't correct because it would take 12 minutes to fill the bathtub up 18 inches if it continued at the same rate

Step-by-step explanation:

3/2 does not equal 18/10

8 0

3 years ago

A set of data items is normally distributed with a mean of 240 and a standard deviation of 32. Convert 272 to a? z-score

dem82 [27]

Answer:

z-score = 1

Step-by-step explanation:

Given

Mean= μ=240

SD= σ=32

In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.

The formula for z-score is:

z-score=(x-μ)/σ

Here x is the value whose z-score is to be found.

In the given question, x = 272

So,

z-score=(272-240)/32

=32/32

So , the z-score for 272 is 1..

7 0

3 years ago

The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

Marianna [84]

Answer:

It is given that the volume of a cone = $3\pi x^3$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3}\pi r^2h$

Equating the given volumes, we get

$3\pi x^3=\frac{1}{3}\pi r^2h$

$r^2h=3$ × $3x^3$

$r^2h=9 x^3$

It is given that the height is 'x' units.

Therefore, $r^2x=9x^3$

$r^2=9x^2$

Therefore, $r=3 x$

So, the expression ' $3 x$ ' represents the radius of the cone's base in units.

3 0

2 years ago

A council of three people is to be chosen from a group of 4 lawyers, one artist, and 3 teachers

padilas [110]

Answer: 0.2857

<u>Step-by-step explanation:</u>

At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

$\text{One teacher}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{5\ others}{7\ people}\times \dfrac{4\ others}{6\ people}=\dfrac{5}{28}=0.1786\\\\\\\text{Two teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{5\ others}{6\ people}=\dfrac{5}{56}=0.0893\\\\\\\text{Three teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{1\ teacher}{6\ people}=\dfrac{1}{56}=0.0179$