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Sonja [21]
3 years ago
14

Solve by completing the square: x^2+4x-5

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

(x + 2)^2-9

How to find answer:

Use the formula (b/2)^2 in order to complete the square.

Hope this helps :)

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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand
LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

Z = \frac{20.2 - 20}{0.158}

Z = 1.27

Z = 1.27 has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0
3 years ago
Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiec
Bezzdna [24]

Answer:

I would say that is is B

Step-by-step explanation:

Just put the answer

Please make be brainliest or like rate my answer please and thanks <3

5 0
3 years ago
PLEASE ANSWER FAST!<br> you dont have to explain but im trusting on u have a good day
JulsSmile [24]

Answer:

126 square inches

Step-by-step explanation:

The area of the figure = area of the parallelogram + area of the square + area of the rectangle

✔️Area of the parallelogram = b*h

b = 10 in.

h = 3.5 in.

Area = 10*3.5

Area = 35 in.²

✔️Area of the square = s²

s = 4 in.

Area = 4²

Area = 16 in.²

✔️Area of the rectangle = L*W

L = 12.5 in.

W = 6 in.

Area = 12.5*6

Area = 75 in.²

✅Area of the figure = 35 + 16 + 75

= 126 in.²

8 0
3 years ago
Convert the following into scientific notation:<br> 70.2 = _____ x 10 ____
ElenaW [278]

Answer:

7.02 x 10^1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLS ANWSER ASAP IN TI<br> ED!!
NikAS [45]

Answer:

Option (2)

Step-by-step explanation:

x = 1 is represented by a solid point on a number line.

x > 1 is represented by an arrow starting from x = 1 towards infinity

If we mix both the properties, x ≥ will be represented by an arrow starting from a solid point at x = 1 and moving towards the values greater than one.

From the options given,

Arrow mentioned in Option (2) will be the correct representation of the inequality.

7 0
3 years ago
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