Answer:
Supplement of <1 = 122°
Supplement of <2 = 156°
Step-by-step explanation:
Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.
Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°
Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.
Thus:
Supplement of <1 = 122°
Supplement of <2 = 156°
Answer: the probability that she will be between 65 and 67 inches tall is 0.2077
Step-by-step explanation:
Since heights of women in the United States are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of women.
µ = mean height
σ = standard deviation
From the information given,
µ = 63.7 inches
σ = 2.7 inches
We want to find the probability that the height of a woman selected will be between 65 and 67 inches. It is expressed as
P(65 ≤ x ≤ 67)
For x = 65,
z = (65 - 63.75)/2.7 = 0.46
Looking at the normal distribution table, the probability corresponding to the z score is 0.6772
For x = 67,
z = (67 - 63.75)/2.7 = 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.8849
P(65 ≤ x ≤ 67) = 0.8849 - 0.6772
= 0.2077
0 is the real number for which there is no multiplicative inverse.
<u>Solution:</u>
Need to find a real number not having multiplicative inverse. Let’s first understand what is multiplicative inverse.
<em>Multiplicative inverse of a real number</em> is that number which when multiplied to the real number gives result as 1.
That is product of real number and multiplicative inverse is always 1.
Can you imagine any real number which whatever be the case, when multiplied by any number will never give result as 1.
Think about 0.
Whenever any number multiplied by 0, result is always zero. So there will never be a case when zero multiplied by any number gives result as 1.
Hence 0 is that real number for which there is no multiplicative inverse.
Answer:
12.8%
Step-by-step explanation:
390-12.8%=340.08
For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9