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
castortr0y [4]
3 years ago
12

The table shows a direct variation.

Mathematics
1 answer:
marin [14]3 years ago
8 0
The answer would be 4
You might be interested in
The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
kifflom [539]

We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes.z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447

We need to find the probability such that P(x>30)=P(z>0.447)=0.67

Therefore, the required probability is 0.67.

(d) If average time to walk to school is 10 minutes, then overall average time for the trip will be 10+20 = 30 minutes.

(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0

P(x>30)=P(z>0)=0.5

Therefore, probability will be 0.50.


6 0
3 years ago
Read 2 more answers
Yin wants to create figure Y′ that is similar to figure Y. Yin begins by reflecting figure Y across the y-axis.
Sholpan [36]

Answer: B) Dilate by scale factor of 2

====================================================

Explanation:

Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.

If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.

Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.

3 0
3 years ago
Read 2 more answers
En un huerto se siembra frijol. Si se pone una planta, produce 3kg de frijol. por cada planta extra que se ponga, todas las plan
Ad libitum [116K]

Answer:

y = -0.07x2 + 3.07x

Step-by-step explanation:

For each plant we add, there is a decrease of 70 grams for all plants from the inicial value of 3 kg of beans.

So, for 2 plants, we have (3 - 0.07) * 2

For 3 plants, we have (3 - 2*0.07) * 3

For x plants, we have (3 - (x-1)*0.07) * x

So we can model the final result of the amount of beans 'y' with the equation:

y = (3 - (x-1)*0.07) * x

y = (3 - 0.07x + 0.07) * x

y = (3.07 - 0.07x) * x

y = -0.07x2 + 3.07x

(In this equation we have a = -0.07, b = 3.07 and c = 0)

7 0
3 years ago
Factor the polynomial. 7x2 + 68xy - 20y2 A) (7x - 2y)(x + 10y) B) (7x - 10y)(x - 2y) C) (7x + 10y)(x + 2y) D) (7x + 2y)(x - 10y)
Otrada [13]
For this case we have the following polynomial:
 7x2 + 68xy - 20y2
 Factoring we have:
 (7x-2y) (x + 10y)
 We verify the factorization:
 7x2 + 70xy - 2xy - 20y2
 Rewriting we have:
 7x2 + 68xy - 20y2
 Therefore, the factorization is correct.
 Answer:
 
A) (7x - 2y) (x + 10y)
5 0
3 years ago
What is the solution to the following system?<br> x+y+z=6 <br> x-y+z=8 <br> x+y-z=0
Ghella [55]
I don't really know if this is correct but I think it is x+y+z=14
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of these choices show a pair of equivalent expressions? A.7^5/7 and (√ 7)^5 B.6^7/2 and (√ 6)^7 C.(4√ 81)^7 and 81^7/4 D.5
    7·2 answers
  • What is the expression of this problem (9+6x)8
    8·1 answer
  • Which table shows a proportional relationship between x and y
    13·1 answer
  • I need help so can u help me ok here is the problem write a story problem with 6 divided by 3/4
    8·2 answers
  • If
    5·1 answer
  • Please just help meeeeeee
    6·1 answer
  • Q. What is 40% of 230?
    11·2 answers
  • PLEASE PLEASE PLEASEEEEE HELP!!!
    13·2 answers
  • Does the alligator eat 14/7 or 2/4
    8·2 answers
  • A book store and a movie theater are 6 kilometers apart along the same street. A florist is located between the bookstore and th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!