1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cricket20 [7]
3 years ago
14

Using the Two-Transversal proportionality Corollary, what is the approximate value of JK?

Mathematics
1 answer:
blagie [28]3 years ago
8 0
B should be the correct answer
You might be interested in
Simplify 12st over 4t
soldier1979 [14.2K]
\huge{\frac{12st}{4t}=\frac{12s}{4}=\boxed{3s}
7 0
3 years ago
The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d
velikii [3]

Answer:

a) X \sim N(9.3,1)  

b) P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(9.3,1)  

Where \mu=9.3 and \sigma=1

3) Part b

We are interested on this probability

P(X>9.2)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

P(X  

P(Z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.6745

And if we solve for a we got

a=9.3 +1*0.6745=9.9745

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

8 0
3 years ago
You are taking hang-gliding lessons. The cost of the first lesson is one and a half times the cost of each additional lesson. Yo
kow [346]
So, givens: total lesson cost of $260, total lessons taken are 6, and the first lesson costs 1.5 (or 3/2) as much as the additional lessons.

First thing to do is to figure out how many additional lessons are in that, which are 5.

Then you can make a 1 variable equation with the information you have. I’m using x as my variable.

260= 3/2x + 5x

Combine like terms.

260 = 13/2x

Divide both sides by 13/2 (treat it as a fraction, and if your calculator cannot make fractions, then decimal might help for this. 13/2=6.5)

X=40
8 0
2 years ago
HELP I NEED HELP ASAP <br> HELP I NEED HELP ASAP <br> HELP I NEED HELP ASAP
Ivahew [28]

Answer:

d

Step-by-step explanation:

6 0
3 years ago
Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the a
Dvinal [7]

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

5 0
3 years ago
Other questions:
  • The two box plots summarize the number of hours spent in the weight room for all the players on the football team for two differ
    12·1 answer
  • The difference between 3.6 and a number is 2.95
    7·1 answer
  • Two different pairs of negative integers, x and y, that make the statement x-y=2 true
    6·2 answers
  • A health conscious student faithfully wears a device that tracks his steps. Suppose that the distribution of the number of steps
    5·1 answer
  • Sherrie invested some money at 6% interest. Sherrie also invested $249 more than 4 times that amount at 12%. How much is investe
    10·1 answer
  • Simplify<br> (8-2) a + 9b - (3+2) a + 10
    12·1 answer
  • What is the axis of symmetry for f(x) = 2x2 − 4x + 5?
    10·2 answers
  • If a= -5 and b= -2,then what is the value of [a-b]2
    6·2 answers
  • Solve the equation <br><br> x/-2-17=-7
    8·2 answers
  • Please help ASAP!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!