Answer: Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
You can see the Steps but the answer is
X > 15
Answer:
30 forks
Step-by-step explanation:
Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.
Forks: spoons
= 15: 25
= 3: 5
This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.
Number of forks= 3u
Number of spoons= 5u
Units shall be represented by the letter u from this point forth.
Now, we can form an equation using the total number of utensils in the cafeteria.
Assuming that the utensils in the cafeteria are only forks and spoons,
number of fork and spoons= 80
3u +5u= 80
8u= 80
Let's solve for u.
Divide by 8 on both sides:
1u= 80 ÷8
1u= 10
This means that 1 unit represents 10 utensils.
Substitute the value of u into the expression of the number of forks:
Number of forks
= 3u
= 3(10)
= 30
Thus, there are <u>30 forks</u> in the cafeteria.
Answer:
131
Step-by-step explanation:
(-48)+(-110)+27
Remember one of the most important math rules
- * - = +
-*+= -
+*+ =+
+*-=-
That been said
We can now perform the operation
-48-110+27= -131
