Answer:
-7
Step-by-step explanation:
-7
EXPLANATION
The only numbers that have a distance of 7 from zero on the real number line are -7 and 7.
-7 is to the left of zero while 7 is to the right of zero.
But this two numbers are all 7 units from zero.
In other words, the absolute values of this numbers is 7.


Answer:
5/6
Step-by-step explanation:
The factors of 24 that are on a die are: 1,2,3,4 and 6. This only leaves 5 that isn't a factor of 24. Therefore, since there are 5 possibilities out of the 6 total numbers, the probability of rolling factors of 24 is 5/6.
36 / k+3 = 44 / k+5
crossmultiply:
44k + 132 = 36k + 180
8k = 48
k = 6
? / 6 = 44 / 11
? / 6 = 4 / 1
cross multiply:
? = 24
Answer:
P-value = 0.0261
We conclude that the machine is under-filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 433 gram
Sample mean, = 427 grams
Sample size, n = 26
Alpha, α = 0.05
Sample standard deviation, σ = 15 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value using the standard table.
P-value = 0.0261
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it.We accept the alternate hypothesis.
We conclude that the machine is under-filling the bags.
Since they are similar shape figures, that means that you can divide the larger side length by the smaller side length. So first do 6.5 divided by 4 to find the different in the shape sizes.
6.5/4=1.625
Now write an equation using this information.
13=1.625x
Divide both sides by 1.625.
8=x
So now you know that the missing side length is x=8.