Which represents the solution set of the inequality 5x-9 less than or equal to 21

How do i do 4/7 divided by 1 3/4

Virty [35]

make 1 3/4 an improper fraction:

1 3/4 = 7/4

now you have 4/7 divided by 7/4

now reverse the 7/4 and multiply:

4/7 x 4/7 = 16/49

3 0

4 years ago

The US Agency for Healthcare Research and Quality (www.ahrq.gov) reported that in 2010 the mean cost of a stay in a hospital for

zysi [14]

Answer:

We conclude that the population mean cost for a hospital stay for American women aged 18-44 has increased since 2010.

Step-by-step explanation:

We are given that the US Agency for Healthcare Research and Quality reported that in 2010 the mean cost of a stay in a hospital for American women aged 18-44 was $15,200.

A random sample of 400 hospital stays for American women aged 18-44 showed a mean cost of $16,000, with a standard deviation of $5000.

Let $\mu$ = population mean cost for a hospital stay for American women aged 18-44.

SO, Null Hypothesis, $H_0$ : $\mu$ $\leq$ $15,200 {means that the population mean cost for a hospital stay for American women aged 18-44 has reduced or remains same since 2010}

Alternate Hypothesis, $H_A$ : $\mu$ > $15,200 {means that the population mean cost for a hospital stay for American women aged 18-44 has increased since 2010}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

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

where, $\bar X$ = sample mean cost of a stay in a hospital for American women aged 18-44 = $16,000

s = sample standard deviation = $5,000

n = sample of hospital stays = 400

So, test statistics = $\frac{16,000-15,200}{\frac{5,000}{\sqrt{400} } }$ ~ $t_3_9_9$

= 3.20

Now at 5% significance level, the t table gives critical value of 1.645 at 399 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 1.645 < 3.20, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the population mean cost for a hospital stay for American women aged 18-44 has increased since 2010.

8 0

3 years ago

A line passes through (-8,3) and (-6,4).What is the equation of the line?

Komok [63]

Answer: The equation of the line that passes through the points

(-8,3) and (-6,4)

is

y=1/2x+7

Step-by-step explanation: First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-8,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-8 and y1=3.

Also, let's call the second point you gave, (-6,4), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-6 and y2=4.

Now, just plug the numbers into the formula for m above, like this:

m=

4 - 3

-6 - -8

or...

m=

1

2

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-8,3). When x of the line is -8, y of the line must be 3.

(-6,4). When x of the line is -6, y of the line must be 4.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-8,3) and (-6,4).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-8,3). y=mx+b or 3=1/2 × -8+b, or solving for b: b=3-(1/2)(-8). b=7.

(-6,4). y=mx+b or 4=1/2 × -6+b, or solving for b: b=4-(1/2)(-6). b=7.

See! In both cases we got the same value for b. And this completes our problem.

7 0

3 years ago

Six calculators cost 180 determine the cost per calculator

Gemiola [76]

Each calculator would cost 30 dollars (sorry if this isn't what you mean)

4 0

3 years ago

I need help with this problem, I don't know how to solve it at all :( 5-6/w=(w-28)/7w

gtnhenbr [62]

7w*(5-6/w)=((w-28)/7w)*7w
35w-(42w/w)=w-28
35w-42=w-28
34w=14
w=14/34
w=7/17

7 0

3 years ago