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3 years ago

7

A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected student

s will be seniors?
0.15
0.17
0.22
0.64

1 answer:

nadezda [96]3 years ago

6 0

Answer:

its a.) 0.15

Step-by-step explanation:

I just took the test on edge 2020

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A line with a slope of -4 passes through the point

Viktor [21]

Answer:

y = -4x - 22

Step-by-step explanation:

m = -4

using (-6,2)

Slope-intercept: y = mx + b

2 = -4(-6) + b

2 = 24 + b

b = -22

y = -4x - 22

4 0

2 years ago

A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

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3 years ago

The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?

Hunter-Best [27]

Given condition is:

A sloth moves in one hour = $\frac{250}{5/8}$

$\frac{5}{8}=0.625$

So, a sloth moves in one hour = $\frac{250}{0.625}=400 units$

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = $\frac{400}{60}$

In 90 minutes it will move = $\frac{400}{60}\times90=600$

The answer is 600 units.

4 0

3 years ago

Read 2 more answers

Ill give a brainlist ! :>

bekas [8.4K]

Answer:

<em>Answer is</em><em> </em><em>given</em><em> </em><em>above</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>image</em><em> </em>

Step-by-step explanation:

<em>I</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS</em><em> </em><em>FOR GIVING ME THE OPPORTUNITY TO</em><em> </em><em>ANSWER YOUR QUESTION</em><em>. </em>

<em>ANSWER</em><em> </em><em>IS</em><em> </em><em> </em><em>(</em><em>c</em><em>+</em><em>8</em><em>)</em><em>(</em><em>c</em><em>+</em><em>3</em><em>)</em>

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3 years ago

Jack Frost was decorating the car windows in the teacher’s parking lot. He puts 2 snowflakes on each of the four windows of the

deff fn [24]

Answer: He can completely decorate 11 cars

Explanation: since he puts 2 snowflakes on each of the 4 windows on one car, in total Jack uses 8 snowflakes per car. If he makes 90 snowflakes, 90 divided by 8 gives you the amount of cars he can decorate. 90/8 = 11.25, but since you can’t have .25 cars the answer is 11.

3 0

2 years ago