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Rama09 [41]
3 years ago
15

Find the sum of ∑4/k=1 (-4k)

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

Hello,

Answer C: -40

Step-by-step explanation:

\displaystyle \sum_{k=1}^4\ (-4k)\\\\=-4*\sum_{k=1}^4\ k\\\\=-4*4*\dfrac{1+4}{2} \\\\=-4*5*2\\\\=-40\\

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Right answer no lin or bot
kvv77 [185]

Answer:

2\frac{9}{10} or\frac{29}{10}

Step-by-step explanation:

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8 0
3 years ago
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a triangular flower bed needs a thin metal border all the way around it. The sides are 7 feet, 6 feet, and 9 feet long.
kotegsom [21]
Excuse my awful triangle drawing skills, haha..
So essentially you need to find the perimeter which is done by adding the lengths of the sides.. this gives you 22ft.
Then for part b you need to convert 22ft to yards which gives you 7.3 yards.
Since you can only buy a whole number of yards, you'll actually need 8 yards.
So if the boarder is $8.75 per yard, and you need 8 yards, how much would it cost?
Hope this was helpful.

7 0
3 years ago
If the triangle on the grid below is translated by using the (x,y) -&gt; (x+5, y-2) rule, what will be the coordinates of B'?
Art [367]
We know that
the coordinates of point B ( -5,0)

the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)

the answer is
<span>(0, –2) </span>
4 0
3 years ago
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Which expression does NOT simplify to 1?
koban [17]

fg^3 / g^3f = 1

f^4 / f*f*f*f = f^4 / f^4 = 1

f^2g^3 / f^3g^2 = g/f

f*f/f^2 = f^2 / f^2 = 1

Answer:

f^2g^3 / f^3g^2

6 0
4 years ago
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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p
Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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 p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that X = 80, \mu = 77, \sigma = 4.9

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{80 - 77}{4.9}

Z = 0.61

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that X = 78, \mu = 75, \sigma = 3.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{75 - 78}{3.7}

Z = 0.81

Rachel's z-score was of 0.81.

6 0
3 years ago
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