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WINSTONCH [101]
2 years ago
8

Solve the equation 1. X + 4 =11

Mathematics
2 answers:
Deffense [45]2 years ago
6 0

Answer:

<h2>7</h2>

Step-by-step explanation:

x +4 =11

Collect like terms and simplify

x= 11-4

x = 7

mojhsa [17]2 years ago
4 0

Answer:

X = 7

Step-by-step explanation:

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An agronomist wishes to estimate, to within one percentage point, the proportion of a new variety of seed that will germinate wh
Galina-37 [17]

Answer:

The minimum sample size must be 1118 to have margin of error within one percentage point.

Step-by-step explanation:

We are given the following in the question:

Germination rate = 97% = 0.97

\hat{p} = 0.97

Margin of error = 1% = 0.01

We have to find the minimum sample size for a 95% confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

1.96\times \sqrt{\dfrac{0.97(1-0.97)}{n}}\leq 0.01\\\\\sqrt{n} \geq 1.96\times \dfrac{\sqrt{0.97(1-0.97)}}{0.01}\\\\\sqrt{n}\geq 33.4350\\\Rightarrow n \geq 1117.9056

Rounding off to integer,

n = 1118

Thus, the minimum sample size must be 1118 to have margin of error within one percentage point.

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As treasurer of his school's FFA club, Kenny wants to buy gifts for all 18 members. He can buy t-shirts for $9 and sweatshirts f
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Kenny can buy 15 t shirts and 3 sweatshirts.

Step-by-step explanation:

Given,

Number of members = 18

Cost of each t shirt = $9

Cost of each sweatshirt = $15

Money = $180

Let,

x be the number of t shirts

y be the number of sweatshirts

According to given statement;

x+y=18       Eqn 1

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Multiplying Eqn 1 by 9

9(x+y=18 )\\9x+9y= 162\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(9x+15y)-(9x+9y)=180-162\\9x+15y-9x-9y=18\\6y=18\\

Dividing both sides by 6

\frac{6y}{6}=\frac{18}{6}\\y=3

Putting y=3 in Eqn 1

x+3=18\\x=18-3\\x=15

Kenny can buy 15 t shirts and 3 sweatshirts.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/10688256
  • brainly.com/question/10708697

#LearnwithBrainly

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Felicia drew a triangle with side lengths that measured 15
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A

Step-by-step explanation:

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