Answer:
A train travels at a constant rate of 40 miles per hour. How many miles will it travel in 3 hours?
Step-by-step explanation:
120.
40 x 3
=
120
First, you combine like terms: x+3x=4x: 12+4x=18-2x
Second, you add the 2x to each side (inverse operation): 12+6x=18
Third, you subtract 12 from 18 to cancel out the 12 (inverse operation): 6x=6
Fourth, you divide each side by 6 to find the value of x
The answer is x=1
Answer:
- Two sided t-test ( d )
- 0.245782 ( c )
- Since P-value is too large we cannot conclude that the students’ weight are different for these two schools. ( c )
- The test is inconclusive; thus we cannot claim that the average weights are different. ( b )
Step-by-step explanation:
1) Test performed is a Two sided test and this because we are trying to determine the mean difference between two groups irrespective of their direction
<u>2) Determine the P-value ( we will use a data-data analysis approach on excel data sheet while assuming Unequal variances )</u>
yes No
Mean 94.47059 89.76471
Variance 173.2647 95.19118
Observations 17 17
df 30
t Stat 1.184211
P(T<=t) one-tail 0.122814
t Critical one-tail 1.697261
P(T<=t) two-tail 0.245782
Hence The p-value = 0.245782
3) Since P-value is too large we cannot conclude that the students’ weight are different for these two schools.
4) The test is inconclusive; thus we cannot claim that the average weights are different.
Answer:
Step-by-step explanation:
<u>Given</u>
- A costs 5$
- B costs $0.25
- C costs $0.05
- A + B + C = 100
- 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000
<u>Subtract the first equation from the second:</u>
<u>We have a restriction in numbers:</u>
<u>Since 4B can be max 400, we get 99A > 1500 and 99A < 1900 so:</u>
and
A can be 16 or 18 as it should be even number to get B the whole number.
<u>If A = 16:</u>
- 99*16 + 4B = 1900
- 4B = 1900 - 1584
- 4B = 316
- B = 316/4 = 79
<u>If A = 18:</u>
- 99*18 + 4B = 1900
- 4B = 1900 - 1782
- 4B = 118
- B = 118/4 = 29.5, discarded as decimal
<u>So we get:</u>
- A = 16, B = 79 and C = 100 - (16 + 79) = 5
<u>Let's proof the numbers:</u>
- 16*5 + 79*0.25 + 5*0.05 = 100, confirmed
