Answer:
s=1
Step-by-step explanation:
4s+6s-4=6
10s=10
s=1
Answer:
x = 50
Step-by-step explanation:
The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.
2(x + 10) = 3x - 30
Distribute on the left side.
2x + 20 = 3x - 30
Subtract 2x from both sides.
20 = x - 30
Add 30 to both sides.
50 = x
x = 50
Answer:
7.57
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.
The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.
This means that
Percent of all sunflowers that are between 35 and 40 inches tall.
As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So
X = 40
has a pvalue of 0.1057
X = 35
has a pvalue of 0.03
0.1057 - 0.03 = 0.0757
As percent: 0.0757*100% = 7.57%
Answer:
5^2 times 50 + 6...
According to the order of operations (PEMDAS), you would find the result of the exponent first.
5^2 = 5*5 = 25.
Then, move on to multiplication.
25*50 = 1250
Finally, add 6.
1250+6 = 1256.
Step-by-step explanation: