1. Is the equation 2X + 3 = 2 (X + 3)

A gym charges $8.75 for each swimming class and a one time registration fee of $12.50. A student paid a total of $56.25. Write a

Elena-2011 [213]

Answer:

12.50 + 8.75x = 56.25

12.50 + 8.75 (5) = 56.23

12.50 + 43.75 = 56.23

Step-by-step explanation:

5 0

4 years ago

1. What is the constant of variation for the relationship f(x) = 40x?

yKpoI14uk [10]

1. The coefficient of x is the constant of variation. It is 40.

2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x

8 0

3 years ago

What is 9.27 million in scientific notation

ehidna [41]

⇔⇔⇔⇔⇔⇔⇔⇔⇔9.27*106 ⇔⇔⇔⇔⇔⇔⇔⇔⇔⇔

3 0

4 years ago

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A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation

melamori03 [73]

Answer:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The point estimate of the population mean is $\hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=64-1=63$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=1400$ represent the sample mean

$\mu$ population mean (variable of interest)

s=240 represent the sample standard deviation

n=64 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The point estimate of the population mean is $\hat \mu = \bar X In order to calculate the critical value [tex]t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=64-1=63$

5 0

4 years ago

Solve the equation -4x-8=5x+10 and 5x+2=12

goblinko [34]

Step-by-step explanation:

<h3>First Equation:</h3>

-4x - 8 = 5x + 10

=> 5x + 10 = -4x - 8

=> 5x + 4x = -10 - 8

=> 9x = -18

$= > x = \frac{ - 18}{9}$

=> x = - 2 (Ans)

<h3>Second Equation:</h3>

5x + 2 = 12

=> 5x = 12 - 2

=> 5x = 10

$= > x = \frac{10}{5}$

=> x = 2 (Ans)

6 0

3 years ago

Read 2 more answers