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Vedmedyk [2.9K]
3 years ago
7

Need answer 25 and answer 27

Mathematics
1 answer:
UNO [17]3 years ago
8 0

\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x-20+2x>6

\\ \bull\tt\dashrightarrow \dfrac{-3}{8}x+2x=6+20=26

\\ \bull\tt\dashrightarrow \dfrac{-3+16}{8}x=26

\\ \bull\tt\dashrightarrow \dfrac{13}{8}x=26

\\ \bull\tt\dashrightarrow x=26\times \dfrac{8}{13}

\\ \bull\tt\dashrightarrow x=8(2)=16

#27

\\ \bull\tt\dashrightarrow 0.5x-4-2x\leqslant 2

\\ \bull\tt\dashrightarrow 0.5x-2x\leqslant=2+4=6

\\ \bull\tt\dashrightarrow -1.5x\leqslant 6

\\ \bull\tt\dashrightarrow x\leqslant\dfrac{6}{-1.5}

\\ \bull\tt\dashrightarrow x\leqslant 4

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Please help! see attached
nikdorinn [45]

Answer:

  1. The lowest value of the confidence interval is 0.5262 or 52.62%
  2. The highest value of the confidence interval is 0.5538 or 55.38%

Step-by-step explanation:

Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.

The general expression to apply here is;

C.I=p+-z*\sqrt{\frac{p(1-p)}{n} }

where ;

p=sample proportion

n=sample size

z*=value of z* from the standard normal distribution for 95% confidence level

Given;

n=5000

<u>Find p</u>

From the question 54% of people chosen said they did not have children under 18 living at home

\frac{54}{100} *5000 = 2700\\\\p=\frac{2700}{5000} =0.54

<u>To calculate the 95% confidence interval, follow the steps below;</u>

  • Find the value of z* from the z*-value table

The value of z* from the table is 1.96

  • calculate the sample proportion p

The value of p=0.54 as calculated above

  • Find p(1-p)

0.54(1-0.54)=0.2484

  • Find p(1-p)/n

Divide the value of p(1-p) with the sample size, n

\frac{0.2448}{5000} =0.00004968

  • Find the square-root of p(1-p)/n

=\sqrt{0.00004968} =0.007048

  • Find the margin of error

Here multiply the square-root of p(1-p)/n by the z*

=0.007048*1.96=0.0138

The 95% confidence interval for the lower end value is p-margin of error

=0.54-0.0138=0.5262

The 95% confidence interval for the upper end value is p+margin of error

0.54+0.0138=0.5538

7 0
3 years ago
Read 2 more answers
What is the value of x
valkas [14]
X=15
According to a therom what’s its name *not actual name any triangle divided by parallel lines are proportional so.


X/5=x-6/3

You cross multiply
3x=5x-30

Then solve
3x=5x-30
-5x -5x
-2x=-30
-2x/-2= -30/-2
x=15
4 0
3 years ago
The average speed of one team in a relay is about 5 miles per hour what is this speed in feet per second round to the nearest te
lisov135 [29]
50,802 is the answer cause you rounded
8 0
3 years ago
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation Ï =20 . Find the
MArishka [77]

Answer:

0.68268

Step-by-step explanation:

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 85

z = 85 - 105/20

z = -1

Probability value from Z-Table:

P(x = 85) = 0.15866

For x = 125

z = 125 - 105/20

z = 1

Probabilty value from Z-Table:

P(x = 125) = 0.84134

The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:

P(x = 125) - P(x = 85)

= 0.84134 - 0.15866

= 0.68268

5 0
3 years ago
For the function f(x)=1/x which of these could be a value of F(x) when x is close to zero
alukav5142 [94]

Answer:

The function in quadrant I, where y is increasing upward.

Step-by-step explanation:

The smaller x becomes, the larger f(x) becomes. The answer is that f(x) or y approaches infinity as x becomes smaller and smaller. This helps to understand why division by zero is undefined.

Here you go! Hope this helps!! :-)

7 0
3 years ago
Read 2 more answers
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