Answer:
y = 1
Step-by-step explanation:
The slope is 0.
y = (0)x + b
y = b
The line passes through (0, 1).
(x, y)
Put y as 1.
1 = b
The y-intercept is 1.
y = 1
Answer:
45, 60, 75
Step-by-step explanation:
The ratio of the angles are 6:8:10
Multiply by x to get the angle measures
6x, 8x,10x
We know the sum of the angles is 180 for a triangle
6x+8x+10x = 180
Combine like terms
24x = 180
Divide each side by 24
24x/24 = 180/24
x =7.5
Each angle is
6x = 6(7.5) =45
8x = 8(7.5) =60
10x = 10*7.5 = 75
Answer:
She saved $46
Step-by-step explanation:
1. Price for 3 adults would be $144
2. Price for 4 children would be $104
3. Total price for individual tickets would be $248
4. She bought 1 of [Combo 1] and 1 of [Combo 2]
5. Therefore, she paid $202
6. She saved $46
Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
<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 probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:
X = 790:


Z = 1.8
Z = 1.8 has a p-value of 0.9641.
X = 575:


Z = -2.5
Z = -2.5 has a p-value of 0.0062.
0.9641 - 0.0062 = 0.9579.
0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
24 square units
Step-by-step explanation:
For Trapezoid
a = 8
b = 4
h = 4
Area of Trapezoid
<em><u>A = a + b/2 * h</u></em>
= 8 + 4/2 * 4
= 12/2 *4
= 6 * 4
= 24
Thus, the area of the trapezoid is <em><u>24 square units</u></em>