Step-by-step explanation:
A rational number can be written as a ratio a/b, where a & b are integers & b \neq 0. Rational numbers are terminating or repeating. The radical sign means "the positive square root of."
Example:
√144 = "the square root of 144" but indicates the positive square root of 144, which is 12
Hope this helps!!! :)
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that 
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.



has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
A.450.80
Multiply 40x9.80=392
Take 1/2 of 9.80 that equal 4.90
4.90 plus 9.80 $14.70x4=58.80
$58.80 plus 392 equals 450.80
Given:
Total distance covered by Jamie =
miles
She ran every day =
miles
To find:
The number of days in which she go for running.
Solution:
Total distance covered by Jamie
miles
miles
miles
miles
She ran every day =
miles
Now,




Therefore, the required number of days is 39.
Answer:
(x + 10)(2x + 5)
Step-by-step explanation:
Given
2x² + 25x + 50
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 2 × 50 = 100 and b = 25
The factors are + 20 and + 5
Use these factors to split the x- term
2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )
= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term
= (x + 10)(2x + 5)