Answer: Geometric
Step-by-step explanation: An arithmetic sequence is a sequence with a common difference. In other words, it has a number that is repeatedly added or subtracted to reach the next term. In this problem, that's not the case. We are not going up or down by the same number which means it's geometric.
Answer:
x = 59
Step-by-step explanation:
So first lets distribute;
29 + x - 24 = 64
Collect like terms;
5 + x = 64
Subtract 5 from both sides;
x = 59
Answer:
22.96% probability that a hotel room costs between $250.00 and $285.00
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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.
In this problem, we have that:
![\mu = 244, \sigma = 55](https://tex.z-dn.net/?f=%5Cmu%20%3D%20244%2C%20%5Csigma%20%3D%2055)
What is the probability that a hotel room costs between $250.00 and $285.00?
This is the pvalue of Z when X = 285 subtracted by the pvalue of Z when X = 250. So
X = 285
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{285 - 244}{55}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B285%20-%20244%7D%7B55%7D)
![Z = 0.75](https://tex.z-dn.net/?f=Z%20%3D%200.75)
has a pvalue of 0.7734
X = 250
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{250 - 244}{55}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B250%20-%20244%7D%7B55%7D)
![Z = 0.11](https://tex.z-dn.net/?f=Z%20%3D%200.11)
has a pvalue of 0.5438
0.7734 - 0.5438 = 0.2296
22.96% probability that a hotel room costs between $250.00 and $285.00
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16
Answer:
4
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 38(x) ≤ 160
8 + 38x ≤ 160
38x ≤ 160 - 8
38x ≤ 152
x ≤ 152/38
x ≤ 4
The number of people that can go to the amusement park will be at most 4.
Hence the answer is 4.