Help please 1/4 (8x + 12y +16z)
2 answers:
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<h2>Answer with explanation:</h2>
Let be the population mean.
Null hypothesis :
Alternative hypothesis :
Since the alternative hypothesis is left tailed, so the test is a left-tailed test.
Sample size : n=5 <30 , so we use t-test.
Test statistic:
Critical t-value for t=
Since, the absolute value of t (1.79) is less than the critical t-value , so we fail to reject the null hypothesis.
Hence, we have sufficient evidence to support the company's claim.
Answer:
This probability is the p-value of Z given , considering X as less than X seconds,
as the mean and
as the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean , standard deviation
.
Find the probability that a randomly selected high school student can run the mile in less than X seconds.
This probability is the p-value of Z given , considering X as less than X seconds,
as the mean and
as the standard deviation.
Answer:
a. see below
b. Rita: 300; John: 900; Rodell: 925
c. Rita: L; John: 3L; Rodell: 3L+25
d. L +3L +(3L+25) = 2125
e. Rita: $600; John: $1800; Rodell: $1850
Step-by-step explanation:
Since John's number of laps is expressed in terms of Rita's number of laps, it makes a certain amount of sense to use Rita's laps as a unit of measure. We don't yet know what that unit of measure is, but we can use it to describe both John's laps and Rodell's laps. Rodell will have 25 additional laps added to the 3 units that match John's laps.
Altogether, these 7 units +25 laps will match the total of 2100 +25 laps. It is pretty clear that 1 unit will be 2100/7 = 300 laps. This is shown in the attachment.
__
a) The attachment matches the above description.
__
b) 1 unit of 300 laps is the number of laps Rita swam. Then John's 3 units correspond to 3×300 = 900 laps, and Rodell's laps will be 25 more than John's, so 925.
__
c) In this part, we define 1 unit as L, so the three contributors are ...
- Rita: L
- John: 3L
- Rodell: 3L+25
__
d) The equation shows that the sum of the parts is equal to the whole:
L + 3L + (3L+25) = 2125
__
e) The numbers of part (b) get multiplied by $2, so are ...
- Rita: $600
- John: $1800
- Rodell: $1850
