Answer:
15x = 75
x = 5
Step-by-step explanation:
15x - 10 = 65
15x = 65 + 10
15x = 75
x = 75/15
x = 5
PLEASE RATE!! I hope this helps!!
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You're given the conversion formula of 1 yard = 3 feet and 1 foot = 12 inches so let's use that.
For red you're given three yards so because 1 yard = 3 feet, then you have
3 feet + 3 feet + 3 feet = 9 feet ( or 3ft * 3)
Now, to get inches, you multiply 9 by 12 to get 108 inches.
Since each bow requires 6 inches of ribbon you divide 108 by 6.
- Number of red bows: 18
- Inches of ribbon: 108
Yellow
Given: 54 inches
to convert to feet, you divide by 12 : 54/12 = 4.5 and to find yards you divide by 3: 4.5/3 = 1.5
to find the number of bows you divide 54 by 6: 9 bows
-Number of yellow bows: 9
-Yards of yellow ribbon: 1.5
Blue
Given: 24 bows
Because there's 6 inches for every bow 24*6 = 144 inches of ribbon
Convert to yards: 144/12 = 12 feet / 3 ft = 4 yards
-Inches of blue ribbon:144
-Yards of blue ribbon: 4
Answer:
Correct option:
(B) <em>H₀</em>: <em>μ</em> = 2.40 vs. <em>Hₐ</em>: <em>μ</em> ≠ 2.40.
Step-by-step explanation:
The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.
The registrar can use a single mean test to determine whether the mean has changed or not.
The hypothesis can be described as:
<em>H₀</em>: The mean GPA is 2.40, i.e. <em>μ</em> = 2.40.
<em>Hₐ</em>: The mean GPA is different from 2.40, i.e. <em>μ</em> ≠ 2.40.
To perform the test the registrar can either use a <em>z</em>-distribution or a <em>t</em>-distribution.
If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the <em>z</em>-distribution can be used.
Otherwise it is wiser to use a <em>t</em>-distribution.
The decision rule is:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Thus, the correct option is (B).
Answer:
-6/5
Step-by-step explanation:
-5-1 / 0-(-5)
