Fark earns 2.5% interest on savings account each year if Clark device is 2 mm in to a savings account

How many solutions does 6 -3x = 12 - 6x have?

AysviL [449]

Answer:

Step-by-step explanation:

6-3x=12-6x

Only one solution of x=2

5 0

2 years ago

A random sample of 10 parking meters in a resort community showed the following incomes for a day. Assume the incomes are normal

GenaCL600 [577]

Answer:

A 95% confidence interval for the true mean is [$3.39, $6.01].

Step-by-step explanation:

We are given that a random sample of 10 parking meters in a resort community showed the following incomes for a day;

Incomes (X): $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00.

Firstly, the pivotal quantity for finding the 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 income = $\frac{\sum X}{n}$ = $4.70

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = $1.83

n = sample of parking meters = 10

$\mu$ = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.262 < $t_9$ < 2.262) = 0.95 {As the critical value of t at 9 degrees of

freedom are -2.262 & 2.262 with P = 2.5%}

P(-2.262 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.262) = 0.95

P( $-2.262 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu$ < $2.262 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.262 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.262 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.262 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.262 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $4.70-2.262 \times {\frac{1.83}{\sqrt{10} } }$ , $4.70+ 2.262 \times {\frac{1.83}{\sqrt{10} } }$ ]

= [$3.39, $6.01]

Therefore, a 95% confidence interval for the true mean is [$3.39, $6.01].

The interpretation of the above result is that we are 95% confident that the true mean will lie between incomes of $3.39 and $6.01.

Also, the margin of error = $2.262 \times {\frac{s}{\sqrt{n} } }$

= $2.262 \times {\frac{1.83}{\sqrt{10} } }$ = 1.31

4 0

2 years ago

What is the factored form of 343 + X6?

yan [13]

Answer:

Step-by-step explanation: 1.1 Factoring: 343-x6

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 343 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Polynomial Roots Calculator :

1.2 Find roots (zeroes) of : F(x) = -x6+343

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 343 and the Trailing Constant is -1.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49 ,343

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 342.00

-1 7 -0.14 343.00

-1 49 -0.02 343.00

-1 343 -0.00 343.00

1 1 1.00 342.00

1 7 0.14 343.00

1 49 0.02 343.00

1 343 0.00 343.00

Polynomial Roots Calculator found no rational roots

Final result :

343 - x6

5 0

2 years ago

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What Does 9/12 equal to?

sveticcg [70]

3/4 = or .75
Divide the numerator and denominator to reduce the fraction.

5 0

2 years ago

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What is the absolute mean deviation of this data? 1, 2, 3, 3, 4,5, 6, 8

Harlamova29_29 [7]

Answer:

4/1/7 ( 4 and 1 over 7)

Step-by-step explanation:

First add all the numbers

1+2+3+4+5+6+8= 29

Finally you divide the total by counting the numbers which you have add up

29÷7

= 4/1/7 ( 4 and 1 over 7)

Mark me as the brainiest answer

7 0

2 years ago

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