You will have 5 cm per side
√25 is equal to 5
Since HLI and HLG are complementary angles (add together to make 90 degrees), you can set them up in the equation (25m + 22) + (9m) = 90.
25m + 22 + 9m = 90 add like numbers
34m + 22 = 90 subtraction property
34m = 68 divide
m = 2
substitute m = 2 into the equation got angle HLG (25m + 22)
25(2) + 22
50 + 22
HLG = 72
Answer:
Step-by-step explanation:
Add a similar elements: -3x - 25x = - 28x
=2x^3 x 7x^2 - 28x + 3
Simplify 2x^3 x 7x^2 - 28x + 3
so therefore it equals:
Answer:
-40% change
Step-by-step explanation:
- This change is a decrease, so first you need to find the difference between the two numbers--> 125 - 75 = 50
- Next, you divide by the original number, so 50 ÷ 125 = 0.4
- Finally, you multiply your answer by 100, so 0.4 x 100 = 40%. Because this is a decreasing change, you add a negative sign.
Answer:
0.0062 = 0.62% probability of this occurring
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So
has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of this occurring