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bezimeni [28]
2 years ago
11

Marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the y-axis. Which m

apping notation is correct?
1. (x,y) --> (-x,y)
2. (x,y) --> (x,-y) 
3. (x,y) --> (-x,-y) 
4. (x,y) --> (y,x) 
Mathematics
2 answers:
Sedaia [141]2 years ago
7 0
The answer is the very first one! 
(x,y) --> (-x,y) 

It demonstrates a perfect reflection across the y-axis. 

Good Luck! 
Nutka1998 [239]2 years ago
7 0

Answer:

1. (x,y) --> (-x,y)

Step-by-step explanation:

We are given that,

Marissa needs to write the rule for finding the co-ordinates of a figure reflected across the y-axis.

We know,

Reflection flips the figure over the line of reflection.

So, the reflection of a figure over y-axis will flip the figure over y-axis.

<em>Thus, we get that there will be no change in the y-co-ordinate and the x co-ordinate will be multiplied by a negative sign.</em>

So, the co-ordinates can be found out by the rule,

(x,y)   ----------- >   (-x,y).

Hence, option 1 is correct.

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An animal park has lions, tigers and zebras. 20% of the animals are lions and half of the animals are zebras. If there are 120 a
RoseWind [281]

Answer:

36\ tigers

Step-by-step explanation:

Let

x ----> the number of lions

y ----> the number f tigers

z ----> the number of zebras

we know that

x+y+z=120 ----> equation A

Remember that

20\%=20/100=0.20

50\%=50/100=0.50

To find out the number of lions, multiply the total animals by the percentage of lions

x=0.20(120)=24\ lions

To find out the number of zebras, multiply the total animals by the percentage of zebras

z=0.50(120)=60\ zebras

Substitute the value of x and the value of z in equation A and solve for y

24+y+60=120

y+84=120

y=36\ tigers

6 0
2 years ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
labwork [276]

Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

5 0
2 years ago
Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -
ratelena [41]
The answer to this question is B
7 0
2 years ago
A dilation is a nonrigid transformation that can produce enlarged or reduced images from a given pre-image. How do you know that
worty [1.4K]
A translation is a transformation that slides each point of a figure the same distance in the same direction. The lines connecting each point of the preimage to its image are congruent. One type of transformation that is not an isometry is called a dilation<span>.</span>
8 0
1 year ago
Read 2 more answers
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kaheart [24]
 I<span>s that cos (2pi/3) or cos^2 (pi/3) ????</span><span>
1/2 of 2 =1
</span>cos (2pi/3) = - 1/2 <span>
cos (pi/3) = 1/2 
cos^2 (pi/3) = 1/4 

take your pick! 

pi/3 radians = 60 degrees, and cos is looking for the side adjacent to the 60 degree angle 
in a 30-60-90 triangle, the sides are in the ratio 1-sqrt(3)-2 
so cos 60 = 1/2 

2(pi/3) = 120 degrees-- the same triangle, except now, x is negative ==> cos 2pi/3 = -1/2</span>
6 0
2 years ago
Read 2 more answers
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