Answer:
(b)The original price of the shoes is $60.
Explanation:
Part A
In this situation:
• 15% is the PERCENT
,
• $9 is the PART
,
• The original price is the WHOLE.
Part B
If 15% is taken off, the customer will save $9.
This means that 15% of the original price = $9.
Let the original price=p
The original price of the shoes is $60.
Answer:
-4x^3 + 7
Step-by-step explanation:
(fog)(x) ➡ write whole value of g(x) instead of x in the f(x) function
-4 (x^3) +7 ➡ -4x^3 +7
Answer:
y+3x+11=0
Step-by-step explanation:
m=-3, x1=-4, y1=1
from m=y-y1/x-x1
-3=y-1/x-(-4)
-3(x+4)=y-1
-3x-12+1=y
y=-3x-11
y+3x+11=0
Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies
68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies
95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies
All of data will be found between 1133 years and 1379 years.
Answer:
Both are binomials.
Step-by-step explanation:
Given that
a) X is the number of dots on the top face of fair die that is rolled.
When a fair die is rolled, there will be 1 to 6 numbers on each side with dots in that. Each time a die is rolled the events are independent. Hence probability of getting a particular number in the die is 1/6. There will be two outcomes either the number or not the number. Hence X no of times we get a particular number of dots on the top face of fair die that is rolled is binomial with n = no of rolls, and p = 1/6
b) X is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which 0.02% of all parts are defective.
Here X has two outcomes whether defective or non defective. EAch part is independent of the other in the sense that the probability for each trial is constant with 0.02% =p and no of trials = n = 10.
