All categories

3 years ago

Whats an equation that make x=31 ? like in other words give me an equation where it leads down to 31

2 answers:

5 0

Sure, that's easy! Here's one

5x + 7 = 162

If I wanted to solve this equation, I would break it down. I'd subtract the result (162) by 7

162 - 7 = 155.

From there I just divide that by 5!

155 / 5 = 31

There it is! Ultimate proof that x is in fact 31!

stiks02 [169]3 years ago

3 0

X+62=93

2x=62

2x-31=31. Hope it help!

You might be interested in

A researcher wishes to estimate the average blood alcohol concentration (BAC) for drivers involved in fatal accidents who are f

Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 g/dL.

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 BAC = 0.16 g/dL

s = sample standard deviation = 0.080 g/dL

n = sample of drivers = 60

$\mu$ = population mean BAC in fatal crashes

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 90% confidence interval for the population mean, $\mu$ is;

P(-1.672 < $t_5_9$ < 1.672) = 0.90 {As the critical value of t at 59 degrees of

freedom are -1.672 & 1.672 with P = 5%} P(-1.672 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.672) = 0.90

P( $-1.672 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.672 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.672 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $0.16-1.672 \times {\frac{0.08}{\sqrt{60} } }$ , $0.16+1.672 \times {\frac{0.08}{\sqrt{60} } }$ ]

= [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0

3 years ago

marcos had 1 1/3 gallons of punch left over. He poured all of it into several containers for family members to take home. use fr

kramer

Hi there, 1 1/3 gallons of punch as a improper fraction is 4/3, 4/3=16/12. Therefore, the answer is 5/16, 4/16, and 7/16.

4 0

3 years ago

Read 2 more answers

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

Alinara [238K]

A direct variation equation is one that requires y varies directly as x and looks like this in equation form:

$\frac{y}{x} =k$

where k is the constant of variation. If we solve this for y, we have y = kx, which happens to be a linear function... a line. k here, then, serves as the slope. So what we are given as points on a direct variation function are actually points on a line. The equation for this requires that we find the slope and then rewrite the formula accordingly. First the slope:

$m(k)=\frac{-4-(-3)}{-12-(-9)}=\frac{-4+3}{-12+9}=\frac{1}{3}$

Now we need to write the equation by using one of the points' coordinates. I picked the first point that has an x coordinate of -9 and a y coordinate of -3. Fitting those into the slope-intercept form of a line,

$-3=\frac{1}{3}(-9)+b$