Number of text messages Keisha sent: 16
Number of text messages Miguel sent: 21
Number of text messages Pablo sent: 32
Step-by-step explanation:
Total messages sent = 69
Let,
Messages sent by Keisha = x
Messages sent by Miguel = y
Messages sent by Pablo = z
According to given statement;
x+y+z=69 Eqn 1
y=x+5 Eqn 2
z=2x Eqn 3
Putting Eqn 2 and 3 in Eqn 1
Dividing both sides by 4;
Putting x=16 in Eqn 2
Putting x=16 in Eqn 3
Number of text messages Keisha sent: 16
Number of text messages Miguel sent: 21
Number of text messages Pablo sent: 32
Keywords: addition, linear equation
Learn more about addition at:
#LearnwithBrainly
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
<span>12/4 irrational or rational number
is a irrational number </span>
Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
I only know how to do a, so i hope i can help a little bit.
y=mx+b
-2=-3(7)+b
-2=-21+b
b=19
so your equation is y=-3x+19
i hope this helps!!
