Answer:
m = -5.3
Step-by-step explanation:
-39.75 = 7.5m
Divide both sides by 7.5 to get m alone
-39.75/7.5 = 7.5m/7.5
-5.3 = m
Hope this helps:)
we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
<h3>
</h3><h3>What is the scale factor from M to S?</h3>
Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.
So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:
M = S*K
If that scale factor is 3/2, then we have the case of the problem:
M = (3/2)*S
We can isolate S in the above relation:
(2/3)*M = S
Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.
Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.
If you want to learn more about scale factors:
brainly.com/question/25722260
#SPJ1
Answer:
Student 2 used the correct steps to construct parallelogram PQRS.
Step-by-step explanation:
Out of all the students, student 2 got all the steps correct.
Fix the compass at Q and draw an arc that intersects side QP.
Without changing the width of the compass, move the compass to R and draw an arc.
Draw a line segment from R that passes through T and intersects the second arc at S.
Answer:
The corresponding p - value will be is < 0.00001 which is less than 0.05
Step-by-step explanation:
Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014
For the probability that the survey will provide a sample proportion within 6.03 of the population proportion
we will find the z statistic
z= p^-p/√p(1-p)/n
But √p(1-p)/n= 0.014 and p^-p= 6.03
Putting the values
z= 6.03/0.014= 430.71
The corresponding p - value will be is < 0.00001 which is less than 0.05
X = 5 -
-7x - 3x + 2 = -8x - 8
+ 7x +7x
-3x + 2 = -x - 8
+3x +3x
2 = 2x -8
+8 +8
10 = 2x
/2 /2
x = 5
