Answer: he would receive a rebate of $1677.5
Step-by-step explanation:
A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. This means that if the selling price of the new car is $x, the rebate (in dollars) that a customer would receive is
5.5/100 × x = 0.055 × x = 0.055x
Therefore, for a customer who purchased a $30,500 car under this program, the rebate that he would receive is
0.055 × 30500 = $1677.5
Answer:
the value of x=33
the measure of each base angle = 42 ,69,69
Step-by-step explanation:
Bases od isosceles triangles are congruent,so
2(2x+3)=4x+6 (This is the sum ob both anlgles base)
All angles in a triangle add to 180
4x+6 + 42 = 180
4x = 132
x=33
2(33)+3= 69
69+69+42 = 180
Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:
X = 590:


Z = 0.76
Z = 0.76 has a p-value of 0.7764.
X = 400:


Z = -0.89
Z = -0.89 has a p-value of 0.1867.
0.7764 - 0.1867 = 0.5897 = 58.97%.
58.97% of students would be expected to score between 400 and 590.
More can be learned about the normal distribution at brainly.com/question/27643290
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Answer:
1/2
Step-by-step explanation:
Step-by-step explanation:
AB = AC ( Given)
angle BAD = angle DAC. (AD bisects BAC)
AD = AD. ( common side )
abd is congruent to adc. ( SAS Axiom)