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Makovka662 [10]
2 years ago
8

Help as soon as possible!

Mathematics
2 answers:
saveliy_v [14]2 years ago
5 0

Answer:

(7-a-x) * (7+a+x)

Step-by-step explanation:

49-2a^x-a^2-x^2

=49-(a^2+2ax+x^2)

=49 - (a+x)^2

=(7-(a+x) * (7+(a+x)

=(7-a-x) * (7+a+x)

WINSTONCH [101]2 years ago
5 0

Answer:

(7 - a - x)(7 + a + x)

Step-by-step explanation:

(a + x)² = a² + x² + 2ax

Given

49 - 2ax - a² - x² ← factor out - 1 from the last 3 terms

= 49 - (a² + x² + 2ax)

= 49 - (a + x)² ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49 - (a + x)²

= 7² - (a + x)²

with a = 7 and b = (a + x) , so

= (7 - (a + x) )(7 + (a + x) )

= (7 - a - x)(7 + a + x)

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According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%
Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean \mu and standard deviation \sigma, is given by:  

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

  • It measures how many standard deviations the measure is from the mean.
  • Each z-score has an associated p-value, which is the percentile.

  • The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
  • The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
  • The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
  • Thus, the value of Z is 1.96.

A similar problem is given at brainly.com/question/16965597

7 0
2 years ago
Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES
Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

\frac{32}{12},

and the fraction that represents Bob's rate is:

\frac{64}{25}\text{.}

Simplifying the above fractions, we get:

\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}

Since:

\frac{8}{3}\ne\frac{64}{25}

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0
1 year ago
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