Answer:
8 cm
Step-by-step explanation:
x:y= 2:5
x/y = 2/5
5x = 2y
y is the longer side
5x=2(20)
x=8 cm
The angle M of the parallelogram is; ∠ M = 145°
<h3>What are angles in a parallelogram?</h3>
In a parallelogram, there are four angles with angles on the same line summing up to 180°.
Now, we are told that angle J is 35°. But angle M is on the same line as that of angle J and as such;
∠J + ∠ M = 180°
35° + ∠ M = 180°
∠ M = 180° - 35°
∠ M = 145°
Read more about angles in a parallelogram at; brainly.com/question/11627202
by angle sum property in traingle having ,
$50+70+x=180 \implies x=60^{\circ}$
now, by exterior angle property of triangle, $x+y=60+50$
put $x=60$ to get $y=50$
Answer:
A
Step-by-step explanation:
there your answer
Answer:
c. 0.0142
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let represent the sample mean, the distribution for the sample mean is given by:
On this case
2) Solution to the problem
We want this probability:
The question on this case is ".Find the probability that the average price for 30 gas stations is less than $4.55". So then our value for n=30.
If we apply the formula for the z score to our probability we got this:
And using the normal standard table or the following excel code we calculate the probability "=NORM.DIST(-2.19,0,1,TRUE)"