9514 1404 393
Answer:
| 573 |
Step-by-step explanation:
The product of a 1×2 matrix and a 2×1 matrix will be a 1×1 matrix. The value of the only term will be the dot-product of the row of the first matrix and the column of the second matrix.
P = | 17·27 +19·6 | = | 573 |
Step-by-step explanation:
2x+3(-7+3x)=12
x=3
y=-7+3x3
y=2
(x,y)=(3,2)
Answer:
The probability that X is between 1.48 and 15.56 is
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 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.
X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.
This means that
The probability that X is between 1.48 and 15.56
This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So
X = 15.56
has a pvalue of 0.9706
X = 1.48
has a pvalue of 0.0516
0.9706 - 0.0516 = 0.919
Write out the probability notation for this question.
The probability that X is between 1.48 and 15.56 is
Answer:
<u>Step-by-step explanation:</u>
3(3 + x) = 7x - 9
9 + 3x = 7x - 9 <em>distributed 3 on the left side</em>
<u> -3x</u> <u> -3x </u>
9 = 4x - 9
<u>+9 </u> <u> +9 </u>
18 = 4x
<u>÷4 </u> <u>÷4 </u>
= x