The time to complete 2 levels is (c) 60 minutes
<h3>How to determine the time to complete 2 levels?</h3>
The table of values is given as
Number of Levels Time (hours)
2 ?
3 1.5
Express the blank (?) with y
Number of Levels Time (hours)
2 y
3 1.5
The ordered pairs from the table are
(x, y) = (2, y) and (3, 15)
The table shows the proportional relationship
This means that the equation can be represented as
y = Y/X * x
Where
(x, y) = (2, y)
(X, Y) = (3, 1.5)
So, we have
y = 1.5/3 * 2
Evaluate the quotient
y = 0.5 * 2
This gives
y = 1 hour
Convert to minutes
y = 60 minutes
Hence, the time is 60 minutes
Read more about linear equation at
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Answer: y= 1/3 x + 5/3
Step-by-step explanation:
1= 1/3(-2) + b where b is the y intercept
1= -2/3 + B
+2/3 +2/3
B = 5/3
so we know the slope and the y- intercept
y= 1/3x + 5/3 check: 1=1/3(-2) +5/3
1 =1
Answer:
The correct option is;
c. Because the p-value of 0.1609 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of juice in all the bottles filled that day does not differ from the target value of 275 milliliters.
Step-by-step explanation:
Here we have the values
μ = 275 mL
275.4
276.8
273.9
275
275.8
275.9
276.1
Sum = 1928.9
Mean (Average), = 275.5571429
Standard deviation, s = 0.921696159
We put the null hypothesis as H₀: μ₁ = μ₂
Therefore, the alternative becomes Hₐ: μ₁ ≠ μ₂
The t-test formula is as follows;
Plugging in the values, we have,
Test statistic = 1.599292
at 7 - 1 degrees of freedom and α = 0.05 = ±2.446912
Our p-value from the the test statistic = 0.1608723≈ 0.1609
Therefore since the p-value = 0.1609 > α = 0.05, we fail to reject our null hypothesis, hence the evidence suggests that the mean does not differ from 275 mL.
Answer:
30
Step-by-step explanation:
Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:
A positive sign & A positive sign = Positive number.
A positive sign & A negative sign = Negative number.
A negative sign & A negative sign = Positive number.
In this case:
- (-15) = + 15
Simplify. Combine like terms:
15 + 15 = 30
30 is your answer.
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Answer:
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Step-by-step explanation:
B
