Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 100g
For the alternative hypothesis,
µ < 100g
Due to the <, It means that it is left tailed test.
Since the number of samples is large, the population standard deviation is given, the z test would be used. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 100g
x = 99 g
σ = 1g
n = 30
z = (99 - 100)/(1/√30) = - 5.48
Looking at the normal distribution table, the probability corresponding to the z score is less than 0.00001
P value < 0.00001
Answer:
- (ax + by + cz)/(a + b + c)
Step-by-step explanation:
<u>In terms of the scores we calculate the sum as:</u>
<u>The number is the sum of the frequencies:</u>
<u>Mean average score is:</u>
- (ax + by + cz)/(a + b + c)
Solutions
There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs
Equation # 1
x + y = 86
This says that t<span>he vendor sold 86 items.
</span>Equation # 2
2x + 5y = 330
= $2 for each lemonade
= $5 for each hot dog.
= total amount earned is $330.
Only these two equations are true and needed.
Answer:
C
Step-by-step explanation:
The difference formula for cosine is
cos(x - y) = cosxcosy + sinxsiny
Consider
cos75 = cos(120 - 45)°, then
cos(120 - 45)°
= cos120°cos45° + sin120°sin45° → C
30(x)<=145 and yes she would be able to make 4 bracelets because 30 x 4 = 120 and that is less than 145
