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➴ The correct answer is D. -9, -2, 0, 4, 7
You can look at the number line starting from the negative side and work your way up to order from least to greatest. You also know that the higher number that negative numbers are, the lesser value it has. So the highest numbered negative number, is always the least.
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~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ ♡
The given expression is
And we can also write it as
Leading coefficient is the number or the constant that is with the term with the degree. And here degree is 12, and the constant or the number that is with the term is 5 .
So the leading coefficient is 5 here.
9514 1404 393
Answer:
- ∠W = 130
- ∠X = 140
- ∠Y = 50
- ∠Z = 40
Step-by-step explanation:
Using 'y' and 'z' to represent angles with the corresponding names, we have ...
y + z = 90
(3b -1) +(2b +6) = 90 . . . . substitute the given expressions
5b +5 = 90 . . . . . . . . . . . . simplify
b +1 = 18 . . . . . . . . . divide by 5
b = 17 . . . . . . . . subtract 1
Then the angles are ...
y = 3b -1 = 3(17) -1 = 51 -1 = 50
z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be
Angles W and Y form a linear pair, so are supplementary:
W = 180 -Y = 180 -50 = 130
Angles X and Z form a linear pair, so are supplementary:
X = 180 -Z = 180 -40 = 140
Then the angle measures are ...
- ∠W = 130
- ∠X = 140
- ∠Y = 50
- ∠Z = 40
Answer:
first do:
60mph * 4 hours= 240mi
Let D = the distance the passenger train has to
travel to catch the freight train
Start a stopwatch when the passenger train leaves
Let t = the time on the stopwatch when they meet
Equation for freight train:
d-240=60t
Equation for passenger train:
d=100t
all together:
100t-240=60t
we can do 100t-60t because they both have (t)= 40t
40t=240 *now divide 240 by 40= 6
THEN do:
D= 100mph x 6= 600mi
They will meet 600 mi from the station
to check:
d-240=60t x 6
600-240= 360
60 x 6= 360
360=360
Answer:
3.92% probability that, for an adult after a 12-hour fast, x is less than 53
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that, for an adult after a 12-hour fast, x is less than 53?
This is the pvalue of Z when X = 53.
has a pvalue of 0.0392
3.92% probability that, for an adult after a 12-hour fast, x is less than 53