Answer:
d = 3 sqrt(2)
Step-by-step explanation:
To find the distance between two points we can use the formula
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
d = sqrt( ( -1 - -4) ^2 + (9-6)^2)
d = sqrt( (-1+4)^2 + 3^2)
d = sqrt( 3^2+3^2)
d = sqrt(9+9)
d = sqrt(18)
Simplifying
d = sqrt(9*2)
d = 3 sqrt(2)
Answer:
option 5 and option 6
Step-by-step explanation:
option 5.
dilate with a scale factor of 1/2.
This is because we have to take as a reference the base circumference of the point p as the problem says, so we see the radius of that circumference is twice that of the other, so to get there it must be multiplied by 1/2
option 6.
reflect in the y-axis.
we can see that the distance of the 2 points to the y axis is the same, which means that it is reflected on the y axis
Answer:
17 students per teacher, 9 students per tutor. You need 10 tutors if the school had 90 students.
Step-by-step explanation:
51 students divided by 3 teachers = 17 students per teacher.
45 students divided by 5 tutors = 9 students per teacher.
If there are 9 students per tutor 9 * 10 = 90 so ten tutors
Answer:
The right answer is:
"If 74% of Americans still favor mandatory testing this year, then there is a 1.5% chance that poll results will show 71% or fewer with this opinion."
Step-by-step explanation:
The P-value represents the probability of getting the sample we got, given that the null hypothesis is true. For this reason, it the P-value is lower than the significance level, it means that the sample result is unlikely due to chance, but due to a false null hypothesis.
In this case, the P-value represents a probability P=0.015 of having a sample with proportion p=0.71, given that the population has a proportion π=0.74.
The right answer is:
"If 74% of Americans still favor mandatory testing this year, then there is a 1.5% chance that poll results will show 71% or fewer with this opinion."
