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Amanda [17]
3 years ago
6

A science class has 5 girls and 5 boys in the seventh grade and 3 girls and 5 boys in the eighth grade. The teacher randomly sel

ects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.
Mathematics
2 answers:
kogti [31]3 years ago
7 0
Sample space of 7th grade (5 boys + 5 girls)

sample space of 8th grade (5 boys + 3 girls)


P(boy 7th grade) = 5/10 =1/2
P(boy 8th grade) = 5/8
Hence the probability of selecting a boy from 7th AND a boy from 8th is:

(1/2)x(5/8) ==> 5/16 ( It's a conditional probability)

alexgriva [62]3 years ago
3 0
So the ratios are 5:5 and 3:5 so the fractions are 5/10 (1/2) for 7th grade and 5/8 for 8th grade
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Which is the the largest decimal? .345, .33, .332, .35
AysviL [449]

0.345 or .345

Step-by-step explanation:

because that is the highest decimal number because it has higher values, I mean "345" is greater than "33", "35", and "332".

the only way the smallest number would be the highest number is when it have a negative symbol to it e.g -0.1 is greater than -0.2 due to the fact that -0.1 is closer to 0,1,2,3,..... than -0.2 According to the number line.

All I'm trying to say is that, if it's not a negative number then the one with the highest value or number is actually the highest number EXCEPT if it Hans the negative symbol (-) to it, then it's the opposite meaning the "smallest number" would be the highest number.

Hope this helps buddy, Good luck ✅.

7 0
2 years ago
What degree of rotation is represented on this matrix
Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, -90^{\circ}

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}

Given the matrix: \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

Now, equate the given matrix with standard matrix we have;

\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix} =  \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

On comparing we get;

\cos \theta = 0       and -\sin \theta =1  

As,we know:

  • \cos \theta = \cos(-\theta)
  • \sin(-\theta) = -\sin \theta

\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})

we get;

\theta = -90^{\circ}

and

\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})

we get;

\theta = -90^{\circ}

Therefore, the degree of rotation is, -90^{\circ}

7 0
3 years ago
−2.8+2.4+7.8−2.8<br><br>I dont know how to solve this expression
Nataliya [291]

Step-by-step explanation:

-2.8 +2.4=-.4

-.4+7.8=7.4

7.8-2.8=5

i hope this helps ; )

6 0
3 years ago
(8x4+64x3+3x-28)÷(x-8)
mamaluj [8]

check the picture below.


recall that the division is done with the dividend and divisor sorted in descending order, notice the dividend has a jump from x³ to x, so the x² is missing, but is really there, but it has a coefficient of 0, as you see there in red, so we add any missing terms on either side.

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3 years ago
A grocery wants to make two kinds of coffee. One consoles for $1.40 pound, and the other cells for $2.95 a pound. He wants to ma
steposvetlana [31]

Step-by-step explanation:

a lot of typos in the problem description.

I assume the price of the mix is 1:1 related to the prices of the individual types of coffee.

so, from what I understood we can define

x = pounds of the first type of coffee.

y = pounds of the second type of coffee.

x + y = 21 pounds

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in the second equation we have to bring the given "$2.60 per pound" to the total price, which is $2.60 times the total amount of pounds (which is 21).

from the first equation we get

x = 21 - y

and that we use in the second equation

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29.4 - 1.4y + 2.95y = 54.6

1.55y = 25.2

y = 25.2 / 1.55 = 16.25806452... ≈ 16.26 pounds

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so, he should mix 4.74 pounds of the first (cheaper) type and 16.26 pounds of the second (expensive) type.

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