S+d=209
d=209-s
6.5s+2d=836.5
6.5s+2(209-s)=836.5
6.5s+418-2s=836.5
4.5s+418=836.5
4.5s=418.5
s=93
There were 93 salads sold that day.
Answer:




Step-by-step explanation:
Given:


---
1st problem:


Distribute:

Combine like terms:

---
2nd problem:



Distribute -3 to first factor:
Use foil to simplify:

Replace
with -1:

Combine like terms:

---
3rd problem:


Distribute 2 to the second factor:


Use foil to simplify:

Replace
with -1:

Combine like terms:

----
4th problem:

Distribute:

Combine like terms:

Simplify:

Answer: 12+n
Step-by-step explanation:
Answer:
Step-by-step explanation:
a. table
x = 100,y = 20*100+3000 = 2000+3000 = 5000
x = 200,y = 20*200+3000 = 4000+3000 = 7000
x = 300,y = 20*300+3000 = 6000+3000 = 9000
b:
y = 4300
4300 = 20x+3000
20x = 4300-3000
20x = 1300
x = 1300/20
x = 65
so 65 computer desks can be produced.
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.




5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.




We also have that:

So





The mean is

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.