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stiv31 [10]
3 years ago
13

Zap has coordinates z(-1,5) a(1,3) and p(-2,4) a translaton maps point z to z(1,1) find the coordinates of a and p under this tr

anslation
Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0
If you have moved z from -1 to +1, you have moved it +2 (2 to the right).  If you move z from 5 to 1 you have moved it down 4.  So your rule here in coordinate form is (+2, -4).  Add 2 to each of the other x coordinates and subtract 4 from each of the other y coordinates to get the new points.  A(3, -1) P(0, 0) Z(1, 1)
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What is 6(7-2p) =12p+42
mafiozo [28]

answer:

p = 0

step-by-step explanation:

6 (7-2p) = 12p + 42

42 - 12p = 12p + 42

     +12p   +12p

_______________

42 = 24p + 42

-42            -42

_____________

0 = 24p

_    ___

24    24

0 = p


<em>hope this helps! ❤ from peachimin (aka kayla)</em>


4 0
3 years ago
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects
Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0
3 years ago
Select the correct answer. What is the definition of csc θ ?
OleMash [197]

Answer:

A. csc θ=1/sinθ

Step-by-step explanation:

From SOHCAHTOA,

sine = opposite/ hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:

Csc Ф = 1/ sinФ

8 0
3 years ago
The height of each story in a hotel is feet. The height is measured from the ceiling to the floor. The hotel has 2 underground l
tresset_1 [31]

Answer:

a feet

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment joining the points (-3,-2) and (-7,5)
Mumz [18]

Answer:

The midpoint is (-5,1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -3+-7)/2 = -10/2 = -5

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

( -2+5)/2 = 3/2 = 1.5

The midpoint is (-5,1.5)

7 0
3 years ago
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