Answer:
The factors are (x - 1)(x - 5)(x + 2).
Step-by-step explanation:
Long division:
x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.
x^3 - 5x^2
x^2 - 7x
x^2 - 5x
- 2x + 10
-2x + 10
...........
x^ 2 + x - 2 = (x + 2)(x - 1).
Answer:
A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample and/or if the population of differences in winning times for all years is normal.
Step-by-step explanation:
In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.
The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The zscore is given a:
z = (raw score - mean) / standard deviation
mean = 225, standard deviation o = 10.
a) For x = 200:
z = (200 - 225) / 200 = -0.125
For x = 220:
z = (220 - 225) / 200 = -0.025
P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%
b) For x = 190:
z = (190 - 225) / 200 = -0.175
P(z < -0.025) = P(z < -0.175) = 0.4286
The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%
Find out more on equation at: brainly.com/question/2972832
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(2x+4)+(4x+2)+(2x-1)=180
8x+5=180°
8x=180-5
8x=175
X=21.875
A= 2(21.875)+4=47.75
B=4(21.875)+2 =89.5
C=2(21.875)-1=42.75
Answer:
Option B) w = 4
Step-by-step explanation:
We have to find the value of w to make the given expression true.
The given expression is:
Option B) w = 4 is the correct answer.
