19
If she has already watched 1.5 hours and she can only watch 5 hours per week, then we have the inequality:
1.5 + T ≤ 5
where T is is the number of hours she can watch more before reaching her limit
20
If he needs 100 points, already has 40 and earns 2 for every movie, we have the inequality:
40 + 2m ≥ 100
where m is the number of movies he needs to watch
21
We can have the equation:
x + 1 = x + 2 - 1
This would result to:
x + 1 = x + 1
which have the same terms on both sides.
Further, the equation would be:
0 = 0
Since we want just the top 20% applicants and the data is normally distributed, we can use a z-score table to check the z-score that gives this percentage.
The z-score table usually shows the percentage for the values below a certain z-score, but since the whole distribution accounts to 100%, we can do the following.
We want a z* such that:

But, to use a value that is in a z-score table, we do the following:

So, we want a z-score that give a percentage of 80% for the value below it.
Using the z-score table or a z-score calculator, we can see that:
![\begin{gathered} P(zNow that we have the z-score cutoff, we can convert it to the score cutoff by using:[tex]z=\frac{x-\mu}{\sigma}\Longrightarrow x=z\sigma+\mu](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28zNow%20that%20we%20have%20the%20z-score%20cutoff%2C%20we%20can%20convert%20it%20to%20the%20score%20cutoff%20by%20using%3A%5Btex%5Dz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5CLongrightarrow%20x%3Dz%5Csigma%2B%5Cmu)
Where z is the z-score we have, μ is the mean and σ is the standard deviation, so:

so, the cutoff score is approximately 72.
Hey there!
The biggest side in the set of 3 lengths needs to be lower than the sum of the two lower numbers. So 3 is not lower than 1+1. 10 is not less than 3+4. 5 is the same as 3+2. This is not possible because this makes a line. So the biggest side can’t equal the sum of the two lower sides. 10 is less than 5+9. So the answer would be the last one. 10 cm, 5 cm, 9 cm.
I hope this helps!
Answer:
Radius is 5 units
Step-by-step explanation:
The radius of a circle will always be 1/2 of the diameter.
This gives the formula:

(substitute known values)

(divide 10 by 2)

Therefore the radius is five
Answer: see below
Step-by-step explanation:
The shape is a trapezoid
Base 1 (BH) is 10
Base 2 (QA) is 14
Height is 5
Area


Find distance between QB and HA

Q( -4,4) B (-2,9)

Perimeter