Answer:
52°
Step-by-step explanation:
The measure of angle between the ladder and the ground is given as:
Sum of angles in a triangle
38° + x° + 90° = 180
128°+X° = 180°
X° = 180-128
X= 52°
Hence the angle x = 52°
B. Tyler's playlist has 36 songs. Noah's playlist has one quarter as many songs as
1 answer:
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Answer:
Step-by-step explanation:
The function is where x is the number of bottles of soda.
The domain means the set of "allowed" x values.
Also, f(x) means the amount of money left, which cannot be less than 0. So we put 0 into f(x) and solve for x:
This means the highest number of bottles you can buy is 10. So the domain is anything from 0 to 10. <em>You can buy 0 until highest 10 bottles. Hence the domain is </em>
Answer:
120
Step-by-step explanation:
The prism shown is a triangular prism
The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )
First let's find the area of the base.
To find the area of a triangle we use this formula
where b = base length and h = height
The base length is 6ft and the height is 4ft.
Using these dimensions we plug in the values into the formula
So the area of the base is 12ft²
Finally to find the volume we multiply the area of the base by the length of the prism
12 * 10 = 120
Hence, the volume of the prism is 120ft³
Answer:
1.27%
Step-by-step explanation:
To solve this problem, we may consider a binomial distribution where a customer can either accept or reject (and return) the diskette package.
Lets consider some aspects:
1. From the formulation of the exercise we know that a package is accepted if it has at most 1 defective diskette. So our event A is defined as:
A = 0 or 1 defective diskette
2. The probability of a diskette being defective is 0.01
3. Each package contains 10 diskettes.
If X is defined as number of defective diskettes in the package, the probability of X is given by a binomial distribution with probability 0.01 and n=10
X ~ Bin(p=0.01, n=10)
Let us remember the calculation of probability for the binomial distribution:
with x = 0, 1, 2, 3,…, n
Where
n: number of independent trials
p: success probability
x: number of successes in n trials
In our case success means finding a defective diskette, therefore
n=10
p=0.01
And for x we just need 0 or 1 defective diskette to reject the package
Hence,
with x = 0, 1
So,
Now, because we have 3 packages and we might reject just 1 of them, we can find this probability like this:
Finally, we have that the probability of returning exactly one of the three packages is 1.27%