Answer: The probability is 0.5136.
To find this probability we have to find the range of the values on the normal distribution table.
First, we need to find the percent for each making z-score.
Lower end: 50/24 = 2.08 = 0.0183
Upper end: 2/24 = 0.08 = 0.5319
Now, that we have the upper and lower ends, we can subtract them to find the difference or the range.
0.5319 - 0.0183 = 0.5136
There is a 51.36% chance they are in the given range.
Answer:
15°.
Step-by-step explanation:
1. Angles ADC and CDB are supplementary, thus
m∠ADC+m∠CDB=180°.
Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.
2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then
m∠CDB=m∠CBD=65°.
The sum of the measures of interior angles of triangle is 180°, therefore,
m∠CDB+m∠CBD+m∠BCD=180° and
m∠BCD=180°-65°-65°=50°.
3. Triangle ABC is isosceles, with base BC. Then
m∠ABC=m∠ACB.
From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So
m∠ACB=65°.
4. Angles BCD and DCA together form angle ACB. This gives you
m∠ACB=m∠ACD+m∠BCD,
m∠ACD=65°-50°=15°.
Have a good Day!
The answer is <span>No, because one ticket’s expected value is worth $0.50 more than the face value. </span>
Answer: I think its A and C
Step-by-step explanation:
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