Answer:
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
Step-by-step explanation:
Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.
The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
Answer:
= 2.8
Step-by-step explanation:
If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:
KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7
JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7
LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7
This shows that the ratio of KJ : QP = 5/7
KJ : QP = 2 : = 2 /
Therefore, 
cross multiply: 14 = 5
Divide both sides by 5: = 2.8
Transformation involves changing the position of a shape.
The transformation from 
to 
is 90 degrees clockwise rotation
Using the coordinates of A and A', we have:
Notice that the x-coordinate is <em>negated </em>and then <em>swapped </em>with the y-coordinate.
i.e.
The transformation of a point from <em>(x,y) to (y,-x)</em> is a 90 degrees clockwise rotation.
Hence, the transformation from to is 90 degrees clockwise rotation
Read more about transformations at:
brainly.com/question/13801312
To find both f(8) and f(-5), we will need to plug in their values for x and solve for each. Then, we can subtract them to find the final answer.
Finding f(8):
f(8) = 3(8) - 2
f(8) = 24 - 2
f(8) = 22
Finding f(-5):
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
Subtracting f(8) and f(-5):
f(8) - f(-5)
22 - - 17
22 + 17
39
Hope this helps!! :)
Answer:
Seven candy bars.
Explanation:
Suppose the number of candy bars purchased is x
The questions say he bought A magazine, means one magazine
the equation is:
4x + 5 = 33
4x = 33 – 5
4x = 28
x = 7
Kim bought 7 candy bars.
Hope this helps! :)
