At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.

A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.

The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?

0.45
0.46
0.54
0.59

C. They are similar by the definition of similarity in terms of a dilation.

The conclusion about the triangles is (c) they are similar by the definition of similarity in terms of a dilation.  

The coordinates are given as:

[tex]M = (1,3)[/tex]

[tex]N = (4,9)[/tex]

[tex]O = (7,3)[/tex]

[tex]P =(3,0)[/tex]

[tex]Q = (4,2)[/tex]

[tex]R = (5,0)[/tex]

Start by calculating the lengths of the triangles using the following distance formula

[tex]d = \sqrt{(x_1-x_2)^2 + (y_1 -y_2)^2}[/tex]

So, we have:

[tex]MN = \sqrt{(1 -4)^2 + (3 - 9)^2}[/tex]

[tex]MN = \sqrt{45}[/tex]

[tex]MO = \sqrt{(1 -7)^2 + (3 - 3)^2}[/tex]

[tex]MO = 6[/tex]

[tex]NO = \sqrt{(4 -7)^2 + (9 - 3)^2}[/tex]

[tex]NO = \sqrt{45}[/tex]

[tex]PQ = \sqrt{(3 -4)^2 + (0 - 2)^2}[/tex]

[tex]PQ = \sqrt{5}[/tex]

[tex]PR = \sqrt{(3 -5)^2 + (0 - 0)^2}[/tex]

[tex]PR = 2[/tex]

[tex]QR = \sqrt{(4 -5)^2 + (2 - 0)^2}[/tex]

[tex]QR = \sqrt{5}[/tex]

So, we have:

[tex]MN = \sqrt{45}[/tex]                  [tex]PQ = \sqrt{5}[/tex]

[tex]MO = 6[/tex]                       [tex]PR = 2[/tex]

[tex]NO = \sqrt{45}[/tex]                   [tex]QR = \sqrt{5}[/tex]

The above means that the triangles are not congruent.

So, we determine if they are similar by dividing the corresponding sides

[tex]k = \frac{MN}{PQ} = \sqrt{\frac{45}{5}} = 3[/tex]

[tex]k = \frac{MO}{PR} = \frac{6}{2} = 3[/tex]

[tex]k = \frac{NO}{QR} = \sqrt{\frac{45}{5}} = 3[/tex]

The scale factor is 3.

Hence, the triangles are similar

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

Geometric

Step-by-step explanation:

sorry if I am wrong just let me know please

Answer:

x = 1, y = -1, z = 3

Step-by-step explanation:

x - 2y + 2z = 9

y + 2z = 5

z = 3

According to the last equation, z is equal to 3 so we can plug that in and our new 2 equations will be:

x - 2y + 6 = 9

y + 6 = 5

We can subtract 6 from both sides of the second equation to end up with:

y = -1

Now plugging this into the first equation, we have:

x + 2 + 6 = 9

x + 8 = 9

Subtract 8 from both sides

x = 1

Answer:

There would be 30 black cars.

Since the ratio is 1:5

And we know that there are 6 red cars,

we basically just input it in our ratio

so it would look like 6:x

Now, we just have to plug in for x.

To do that, you have to multiply 6 by 5

To match the ratio.

So that would give us 6:30

And if we divide by 5 we should get our original ratio.

I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!

Answer:

2/5

Step-by-step explanation:

Rearrange terms:

4(2 + a) = 24a

4(a + 2) = 24a

Distrbute:

4(a + 2) = 24a

4a + 8 = 24a

Subtract 8 from both sides of the equation:

4a + 8 = 24a

4a + 8-8 = 24a-8

Simplify:

4a = 24a - 8

Subtract 24a from both sides of the equation:

4a = 24a - 8

4a - 24a = 24a - 8 - 24a

Combine like terms:

-20a = -8

Divide both sides of the equation by the same term:

-20a = -8

-20a/-20 = -8/-20

Simplify:

Cancel terms that are in both the numerator and denominator

Divide the numbers

a = 2/5

I hope that helps! :D

Answer:

no

Step-by-step explanation:

we'll say x=5

5 does not equal 1/5

Answer:

22

Step-by-step explanation:

8 times 10= 80 +8=88. now thats 11 packages. 11 times 2=22

Answer: 1$

Step-by-step explanation:

Answer: a. 1 1/2   b. 9.6

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

13x4=52 that would be in the check section or whatever but she did really good

Answer:

Your sister did the equation perfectly. That's exactly how I would work it, and the answer is 13.

Answer:

tTe answer is 1.96%

Step-by-step explanation:

given data

change in price/gain= $1.86

the closing price = $94.86

Required.

The percent rise.

Step two:

The formula for the percent rise is

=change/close price*100

substitute our given data

= 1.86/94.86*100

=0.0196*100

=1.96%

Answer:

I can't help if I don't have enough to answer sorry

Step-by-step explanation:

Answer:

top right

Step-by-step explanation:

If you imagine yourself building with that model you can see its that one

Answer:

Option C - 2x + y > 2

Step-by-step explanation:

We don’t have to do some serious math here. We can already eliminate half of the options just looking at it, because the graph has a dotted line, which means it does not include those values.

So, choses A and B are eliminated because the inequality shows the ≥ and ≤ symbol, which means that it does include those values. It’s either C or D because they have the > and < symbol, which means that the inequality does not include those values.

To have a better look at the inequalities, write them in slope-intercept form, which is y=mx+b:

Option C: y > -2x + 2

Option D: y < -2x +2

Just looking at the inequlaity symbol, we can tell that Option C is the correct one because it shows that all the y-values are greater than -2x + 2. Which is true because it’s shaded above the line. When it’s shaded above the line, it means that the y-values are greater.

To make sure my answer was correct, I graphed Option C. The image below shows Option C (2x + y > 2) graphed.

Hope this helps! :)

See attachment for math work and answer.

Answer:

the midpoint is (2.5, 2.5)

Answer:

9/24 is

Step-by-step explanation:

Yup

-BaconSoup the scientist LOL

Answer:

9/24

Step-by-step explanation:

[tex]\frac{2}{7}= 0.28571428571\\\\\frac{3}{8}= 0.375\\\\\frac{2}{7}\neq \frac{3}{8}\\\\ \frac{8}{3}= 2.666...\\\\\frac{8}{3} \neq \frac{3}{8}\\\\\frac{9}{24}=\frac{9/3}{24/3} =\boxed{\frac{3}{8}}\\\\ \boxed{\frac{9}{24}=\frac{3}{8}}\\\\\frac{5}{18}= 0.27777...\\\\\frac{5}{18} \neq \frac{3}{8}[/tex]

Hope this helps.

Answer:

estimate, 3000. exact answer 3256

Step-by-step explanation:

hope this helps

Answer:

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Step-by-step explanation:

The given vector function  can be correctly expressed as:

[tex]r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k[/tex]

The domain of the given function can be determined by finding the domain of each respective component.

To start with [tex]\dfrac{t-2}{t+2}[/tex]

Not defined, t = -2

Thus, the domain of the first component of the vector = [tex]( - \infty , -2) \cup ( 2, \infty )[/tex]

The 2nd component = sin t

No restriction on t

The 3rd component of the function is ㏑(36 - t²)

Let recall that natural is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

Thus, it satisfies the inequality  -6 < t < 6

The third domain = (-6,6)

Overall;

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,

[tex](-6, -2) \cap (-2,6)[/tex]

Domain of a function is the set all possible inputs for that function.

Given information-

The vector function given in the problem is,

[tex]r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k[/tex]

To find the domain of the above vector function, we need to find the domain of each function of vector quantity.

Lets find the domain of [tex]\hat i[/tex] first which is given by,

[tex]\dfrac{t-2}{t+2}[/tex]

This function is defined at all values except, t equals to -2 as the function is not defined at,

[tex]t=-2[/tex]

Hence the domain of component [tex]\hat i[/tex] is,

[tex](-\infty, -2) \cap (\infty,2)\\[/tex]

Lets find the domain of [tex]\hat j[/tex] first which is given by,

[tex]\sin(t)[/tex]

Two trigonometry function sine and cosine defined for all real number.

This function is defined at all real numbers. Hence the domain of component [tex]\hat j[/tex] is

Lets find the domain of [tex]\hat k[/tex] first which is given by,

[tex]\ln(36-t^2)[/tex]

Set the above argument greater than zero to find where the expression is defined.Thus,

[tex](36-t^2)>0\\(6+t)(6-t)>0[/tex]

Therefore,

The domain of it should be [tex](-6,6)[/tex]

Hence the domain of the given vector function is,

[tex](-6, -2) \cap (-2,6)[/tex]

Learn more about the domain here;

https://brainly.com/question/10197594

Answer:

h

Step-by-step explanation:

Answer:

the answer is  c

Step-by-step explanation:

Answer:

it's 8

Step-by-step explanation:

lol girl I did this in the first day of school in 6th and I got the same answer , -8 is a negative, your supposed to put it back to a non negative when something is negative change it back to positive it's 8!

Answer:

22 per hour

Step-by-step explanation:

8 divided by 176 lol Hope I did it right tho ;-;

Answer:

they can make 22 in one hour.

Answer:

D. 2.2m + 4.5

Step-by-step explanation:

Answer:

thats a statement

Step-by-step explanation:

Answer:

its a hope this helps

Step-by-step explanation:

Answer:

[tex] \frac{6}{9} [/tex]

or

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

There are nine in total and she has eaten 6, so the fraction would be 6/9.

If you need to simplify it it would be 2/3.