Answer:
A) (2x+15)=65=180°
Step-by-step explanation:
Hey there!
It's a straight line, which means that the sum will be 180°.
So, (2x+15)=65=180°
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Hope this helps!
Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
Amount of money saved by Jordon for the video game = (4/5) * 80
= 4 * 16 dollars
= 64 dollars
So
The amount of money that
Jordan needs to earn more for buying the video game = (80 - 64) dollars
= 16 dollars
Amount earned by Jordan per hour working at a pizza shop = $7.75
Let us assume the number of hours Jordan needs to work to save the rest of the money for the video game = x
Then
7.75x = 16
x = 16/7.75
= 2.06 hours
So it can be said that Jordan has to work 3 hours to save the rest of the money for the video game. If Jordan works 2 hours then he will be short of the required amount. If Jordan works for 3 hours he will have some excess amount in his hand after saving for the video game.
Solution:
The three powers whose value is greater than 500 and less than 550 can be find by following procedure.
We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.
23²= 529
8³ = 8 × 8 × 8 =512

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.
Answer:
10 miles.
Step-by-step explanation:
Let x be the number of miles on Henry's longest race.
We have been given that Henry ran five races, each of which was a different positive integer number of miles.
We can set an equation for the average of races as:

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.
Now let us substitute the distances of 5 races as:


Let us multiply both sides of our equation by 5.


Let us subtract 10 from both sides of our equation.


Therefore, the maximum possible distance of Henry's longest race is 10 miles.