Answer:
B
Step-by-step explanation:
5x+2+33=90
5x=90-35=55
x=55/5=11
Answer:
And we can find this probability with this difference:
And in order to find these probabilities using the normal standard distribution or excel and we got.
So we expect about 99.735% of values between $29 and $89
Step-by-step explanation:
Let X the random variable that represent the amount of Jens monthly phone of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability first in order to find a %
The z score is given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities using the normal standard distribution or excel and we got.
So we expect about 99.735% of values between $29 and $89
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.
2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ;
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180</span>°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
The best possible solution for this item is to determine the permutation of 8 taken 3 since there are 3 positions and 8 people are qualified. We will use permutation instead of combination because of the specificity of the positions. That is,
8P3 = 336
Thus, there are 336 ways in which the officers can be selected.
