Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
Answer:
B) 53x + 74
Step-by-step explanation:
(59x + 64) - (6x - 10) = 59x + 64 - 6x + 10
= 53x + 74
The rate of change of the relationship is 6/5
<h3>Rate of change of a line</h3>
The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:
Slope =y2-y1/x2-x1
Given the coordinate points (-3,-2) and (2, 4). On substituting;
Slope = 4-(-2)/2-(-3)
Slope =4+2/2+3
Slope = 6/5
Hence the rate of change of the relationship is 6/5
Learn more on rate of change here: brainly.com/question/25184007
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Answer:
Step-by-step explanation:
Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) 
.
We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63
b = ±√(a² - c²)
= ±√(91² - 63²)
= ±√(8281 - 3969)
= ±√4312
= ±14√22
So the equation is
Answer:
B= 133° C= 47°
Step-by-step explanation:
As shows on the right it's 133°
A= 133°
c+a =180° -a
= 180° -133°
=47°
a and c complement each other and
b= a = 133°
a and b are vertical angles
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