Given that normally distributed data set has a mean of 55 and 99.7% of data fall between 47.5 and 62.5.
Let s be the standard deviation of data set.
Since 99.7% data fall within 3 standard deviations of mean, z-value for 47.5 and 62.5 has an absolute value of 3.
That is |z|=3
But z=
Let us plugin x=47.5 and mean =55 and equate it to 3.
That is
Since x is always positive ( being standard deviation),
Hence
We will get same value with 62.5 as well.
Hence standard deviation of data set is 2.5.
Answer:
75% chance not to be picked since 1/4 is 25% and 16 divided by 4 is 4 and 4 is a whole so if you take 1/4 of it out you get 3/4 and 3/4 is 75%. I hoped I helped you
Step-by-step explanation:
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
Here, θ is the angle.
The value of angle given in the problem are,
- Cosine a = 0.352
- Sine a = 0.936.
Put these values in the above fromula as,
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
brainly.com/question/24349828
Answer:
2x - 3y
Step-by-step explanation:
Step 1 :
1
Simplify —
4
Equation at the end of step 1 :
1
0 - (— • (12y - 8x))
4
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12y - 8x = -4 • (2x - 3y)
Equation at the end of step 3 :
0 - (3y - 2x)
Step 4 :
Final result :
2x - 3y
Processing ends successfully
plz mark me as brainliest :)
Answer:
The selected graph is correct
Step-by-step explanation: