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3 years ago

2x - 6 = 3x + 1 -x - 7

Mathematics

1 answer:

KiRa [710]3 years ago

6 0

Answer:

infinitely many solutions

Step-by-step explanation:

Simplify 3x + 1 - x - 7 and you'd get 2x-6 = 2x-6

Since that statment is true, it's infinitely many solutions

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Which statement describes the relationship between the line graphs of the equations below? y = −2 x + 4 y = 1/2x + 4 a. The line

svetoff [14.1K]

Answer:

You can tell from the picture

Step-by-step explanation:

they intercept

4 0

3 years ago

Find the common ratio of the sequence -172, -86, -43, -21.5

IRISSAK [1]

Common ratio means that you will be multiplying from the first number to get the second number.
To find the ratio we will work backwards, from right to left, and divide instead of multiply.
-43/-21.5 = 1/2
-86/-43= 1/2
-182/-86 = 1/2
r = 1/2

6 0

3 years ago

Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

<u>99% confidence interval for</u> $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

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3 years ago

Blake drives 448 miles on 16 gallons. How many miles does Blake drive on one gallon?

Rus_ich [418]

28 miles! Just devide em hope it helped! Pls brainest

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