Answer: -8, -7, -6, -5
Remember: consecutive numbers are numbers that are back to back. For example, 1, 2, 3, and 4 are consecutive numbers while 1, 3, 5, and 6 are not.
Form your equation. Let x be your first number, x + 1 your second number, x + 2 your third, and x + 3 is your fourth. To further understand this, temporarily substitute 1 for x, and you will find that they are consecutive.
(x) + (x + 1) + (x + 2) + (x + 3) = -26
Solve for x.
(x) + (x + 1) + (x + 2) + (x + 3) = -26 Distributive Property
x + x + 1 + x + 2 + x + 3 = -26 Combine like terms
4x + 1 + 2 + 3 = -26 Combine like terms
4x + 6 = -26 Subtract 6 from both sides
4x = -32 Divide by 4 to both sides
x = -8 Isolated x
Substitute (-8) for x to find the numbers.
1st #: x = -8
2nd #: x + 1 = (-8) + 1 = -7
3rd #: x + 2 = (-8) + 2 = -6
4th #: x + 3 = (-8) + 3 = -5
The numbers are -8, -7, -6, and -5.
You can also check your work.
(-8) + (-7) + (-6) + (-5) = -26
-26 = -26
11pi/12 is 165 degrees
pi/8 is 22.5 degrees
Answer:
The number would be 22.
Step-by-step explanation:
In order to solve for the number, we need to make both statements into numerical statements.
Fifteen more than four times a number = 15 + 4x
difference between 191 and four times the number = 191 - 4x
Now we set them equal to each other.
15 + 4x = 191 - 4x -----> Add 4x to each side
15 + 8x = 191 ------> Subtract 15 from both sides
8x = 176 -------> Divide by 8
x = 22
Answer:
2.28% of tests has scores over 90.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What proportion of tests has scores over 90?
This proportion is 1 subtracted by the pvalue of Z when X = 90. So
has a pvalue of 0.9772.
So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.
Answer:
40%
Step-by-step explanation:
First off, 1/5 is equal to 20%. If you're diving something into 5ths, you can do 100 / 5, which is 20. So you know that Raul scored at least 20% of the points. His friend Jake ALSO scores 20% of the teams points, making 20 + 20 = 40%. Therefore, 40% of the teams points were scored by Raul and Jake.
