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Mathematics

1 answer:

Sladkaya [172]2 years ago

8 0

The expression is simplified to give -7x^2 - 11x

<h3>What are algebraic expressions?</h3>

Algebraic expressions are expressions that contains variables, constants, factors and coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

From the information given, we have;

(- x^2 - 5x ) - ( 6x^2 + 5x)

expand the bracket

-x^2 - 5x - 6x^2 - 5x

collect like terms

-7x^2 - 11x

Thus, the expression is simplified to give -7x^2 - 11x

Learn more about algebraic expressions here:

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647-574 I need help with carrying numbers

forsale [732]

Answer:

Step-by-step explanation:

647 - 574

1.) subtract 7 -4 and you get 3 in the ones place.

2.) next you have to do 4 -7 and you can't do that so you take one from the hundreds place and turn the 6 into a 5.

3. make the 4 a 14 and then subtract 14-7 and you get 7 in the tens place

4.) you are then left with 5-5 in the hundreds place which is 0 so your answer is 73

3 0

2 years ago

During a period of 11 years 737737 of the people selected for grand jury duty were sampled, and 6868% of them were immigrants.

Galina-37 [17]

The formula to set out the lower and the upper margin of a confidence interval when given the proportion (no standard deviation) is

Lower margin = p - Z* √[(pq) ÷ n]
Upper margin = p + Z* √[(pq) ÷ n]

Where:
p is the sample proportion
q is 1 - p
Z* is the z-score for the confidence level
n is the number size
--------------------------------------------------------------------------------------------------------------

p = (68% of 737) ÷ 737 = 501.16 ÷ 737 = 0.68
q = 1 - p = 1 - 0.68 = 0.32
Z* = 2.58 (refer to the table attached below)
n = 737

substituting these values into the formula, we have

lower margin = 0.68 - (2.58) √[(0.68×0.32) ÷ 737]
lower margin = 0.68 - (2.58) √(0.0002952510176...)
lower margin = 0.68 - 0.04433180431
lower margin = 0.6357 (rounded to four decimal places)
lower margin = 63.57%

upper margin = 0.68 + 0.04433180431
upper margin = 0.7243 (rounded to four decimal places)
upper margin = 72.43%

The confidence interval is between 63.57% and 72.43%. In other words, we can say that between 63.57% and 72.43% of jury members are immigrant.

The claim of 69.46% is within the confidence interval, hence we can conclude that the selection of grand jury duty is not biased against the immigrant.