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lara31 [8.8K]
3 years ago
14

What value of × is in the solution set of -5×-15>10+20×

Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer: x

Step-by-step explanation:

-5x-15>10+20x

Subtract 20x

-5x-20x-15>10

add 15

-5x-20x>10+15

Combine like terms

-25x>25\\

Divide by -25 (NOTE: When dividing or multiplying by negative numbers the inequality sign flips.)

x

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If you were to use the substitution method to solve the following system, choose the
Nezavi [6.7K]

Answer:

15x - y = - 6.....15x + 6 = y...so we sub in 15x + 6 in for y on the other equation

5x - 3y = -13

5x - 3(15x + 6) = -13 <== the new equation

Step-by-step explanation:

7 0
3 years ago
You are an assistant director of the alumni association at a local university. You attend a presentation given by the university
NNADVOKAT [17]

Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

number of people who went for another degree in 2018 = x1 = 54

number of people who went for another degree in 2017 = x2 = 46

p1 = x1/n1 = 0.25

p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

now we have to solve for the confidence interval =

<h2> p1 -p2 ± z*\sqrt{((1-p1)*p1)/n1 + ((1-p2)*p2/n2}</h2>

0.25 -0.23 ± 1.96*\sqrt{((1 - 0.25) * 0.25)/216 + ((1 - 0.23) *0.23/200}

= 0.02 ± 1.96 * 0.042

= 0.02 + 0.082 = <u>0.102</u>

= 0.02 - 0.082 = <u>-0.062</u>

<u>There is 95% confidence that there is a difference that lies between  - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.</u>

<u></u>

<u>There is no significant difference between the two.</u>

5 0
3 years ago
The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student
aniked [119]

Answer:

<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>
  • There are 595 total students in the school .
  • 60% of the total students voted to be the falcons .

\large\bf{\underline{To \:find }}

  • How many students voted not to be in falcon ?

\large\bf{\underline{Therefore  }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

  • 40% of the total students voted not be in falcon

\large\bf{\underline{Hence }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= \frac{40}{100}  \times 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2 \times 119

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 238

\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}

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3 years ago
Quadrilateral ABCD is a square. BC = 10 What is the length of AC? A. 10 sqrt 2 B. 20 sqrt 3 C. 10 sqrt 3 D. Sqrt 100
bixtya [17]

A is the correct answer to this question because AC and BC differ because the B must be changed to an A.

4 0
3 years ago
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