Answer:
About 99.74% of the area is between z = -3 and z = 3
Step-by-step explanation:
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.
Area between z = 3 and z = -3
pvalue of z = 3 subtracted by the pvalue of z = -3
z = 3 has a pvalue of 0.9987
z = -3 has a pvalue of 0.0013
0.9987 - 0.0013 = 0.9974
0.9974*100 = 99.74%
About 99.74% of the area is between z = -3 and z = 3
The measure of angle C is 89 degrees.
<u>Step-by-step explanation:</u>
The given polygon ABCD is a quadrilateral.
<u>The property of a quadrilateral :</u>
The sum of the consecutive angles add to 180°.
In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.
Given that,
- The measure of angle B = 2x+3
- The measure of angle C = 2x+1
<u>To find the value of x :</u>
m∠B + m∠C = 180
(2x+3) + (2x+1) = 180
4x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44
<u>To find m∠C :</u>
m∠C = 2x + 1
⇒ 2(44)+1
⇒ 88+1
⇒ 89°
The measure of angle C is 89 degrees.
Answer:
33
Step-by-step explanation:
6x - 3y
=> x = 5, y = -1 Substitute in the above equation,
=> 6(5) - 3(-1)
=> 6(5) + 3
=> 30 + 3
=> 33
No, 45/100 is greater. 3/8 as a decimal is .
0.375 and 45/100 is 0.45 the tenth place is larger making the number larger
Answer:
Step-by-step explanation:
We need to find the LCM of 12 and 9.
<u>Their LCM is:</u>
- LCM(12, 9) = 2*2*3*3 = 36
Number of light fixtures and light bulbs is 36.
<u>Number of packages will be:</u>
- 36/12 = 3 and
- 36/9 = 4 respectively.
