Answer:
67 degrees
Step-by-step explanation:
If angle a is 113 degrees, angle d will be 113 degrees subtracted from 180 degrees. Because angles in a straight line adds up to 180 degrees.
Answer:
Option C
Step-by-step explanation:
Lets convert it into improper fraction.
Lets convert into a mixed fraction.
Rounding off 7.04 gives 7 and rounding 7 further gives 10.
So , the estimate of the product is 10
Answer:
(4,3,2)
Step-by-step explanation:
We can solve this via matrices, so the equations given can be written in matrix form as:
Now I will shift rows to make my pivot point (top left) a 1 and so:
Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,
-2R1+R2=R2 , -3R1+R3=R3
4R2+R1=R1 , -14R2+R3=R3
,
Therefore the solution to the system of equations are (x,y,z) = (4,3,2)
Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.
Answer:
3454
Step-by-step explanation:
÷÷1/2=××/×/2223=×=×=÷
22÷3××÷÷
2÷=1=×+=××/
×$÷×=×2
2÷2÷/3=×
Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 100
μ = mean = 125
σ = standard deviation = 18
z-score = (100 – 125) / 18
z-score = (-25) / 18
z-score = -1.39
Find the probability that corresponds to the z-score in the z-table. (see attached images)
-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968
-0.09 : -0.1 = x - 0.0968 : -0.016
x - 0.0968 = -0.09(-0.016)/-0.1
x = -0.0144 + 0.0968
x = 0.0824
x = 0.0824
Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
Learn more about probability here: brainly.com/question/26822684
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