40. What is the value of x? (7x – 8)° (6x +11°) Drawing not to scale
2 answers:
<u>Answer:</u>
- <u>The value of x is 19.</u>
<u>Step-by-step explanation:</u>
<u>We know that both of these expressions are equal because of vertically opposite angles. Let's solve.</u>
- => 7x - 8 = 6x + 11
- => 7x - 6x = 19
- => x = 19
<u>Hence, the value of x is 19.</u>
Hoped this helped.
Answer:
x= 19
Step-by-step explanation:
Recall the Vertical Angles Theorem which states that when two lines intersect, vertical angles are congruent. In this case, 7x-8 and 6x +11 are vertical angles, so they are congruent. We can conclude that an equation can be made to find the value of x where:
Solve out the equation to find the value of x.
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Answer:
<em>a) P(x<1200)=74.14%</em>
<em>b) P(1100<X<1250)=57.54%</em>
Step-by-step explanation:
<u>Normal Distribution</u>
The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model to understand the behavior of some real-life variables. Where
is the mean value and
is the standard deviation.
In our case, we have
And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form
NORM.DIST(x,mean,standard_dev,cumulative)
a) X<1200
The formula is used with the following parameters
NORM.DIST(1200,1143,88,true)
and we get
b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them
NORM.DIST(1100,1143,88,true)=0.3125
NORM.DIST(1250,1143,88,true)=0.8880