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4 years ago

17. Only tenth-, eleventh-, and twelfth-grade students

Mathematics

1 answer:

Tom [10]4 years ago

4 0

Answer: Eleventh Grade

Step-by-step

The ratio of tenth graders to the school's total population is 86:255 = 33.7%.

The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.

Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.

When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.

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1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,

omeli [17]

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube: $V=s^3\\$ (s - side length)

Formula for Surface Area of a Cube: $SA=6s^2$ (s- side length)

The side length's 15 inches.

Find the volume:

$V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}$

The volume of cube one is 3375in³.

Find the surface area:

$SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}$

The surface area of cube 1 is 1350in².

The side length's 8 inches.

Find the volume:

$V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}$

The volume of cube two is 512in³.

Find the surface area:

$SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}$

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

3 0

3 years ago

How am I supposed to integrate this?

svlad2 [7]

$6x^2-4x+1=6\left(x-\dfrac13\right)^2+\dfrac13\ge0$

which means the parabola lies above the x-axis over its entire domain. This means the area is given by

$\displaystyle\int_{-1}^2(6x^2-4x+1)\,\mathrm dx=2x^3-x^2+x\bigg|_{x=-1}^{x=2}=10-(-5)=15$

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3 years ago

What could be the intersection of the plane PRS and plane QRS

MrRa [10]

The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS

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3 years ago

Suppose the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average

arsen [322]

Answer:

0.5372

Step-by-step explanation:

Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.

Let X be the no of births in the hospital per hour

X is Poisson

with mean = 1.8

the probability of observing at least two births in a given hour at the hospital

= $P(X\geq 2)\\= 1-F(1)\\= 1-0.4628\\= 0.5372$

the probability of observing at least two births in a given hour at the hospital = 0.5372

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3 years ago

Opal makes $15 per hour working for a photographer. She also coaches a competitive soccer team for $10 per hour.

Jlenok [28]

The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.

The parameters needed to model the inequalities;

amount made by Opal working for a photographer = $15 per hour

amount made in the soccer team = $10 per hour

minimum amount Opal needs to make a week = $90

maximum number of hours Opal needs to work = 20 hours

Let the number of hours Opal works for a photographer = x

Let the number of hours Opal works in soccer team = y

The first system of inequality in the given situation is represented as;

x + y ≤ 20

The second system of inequality in the given situation is represented as;

15x + 10y ≥ 90

Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.

learn more here: brainly.com/question/9774970

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2 years ago