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4 years ago

7

Anabel uses 8 gallons of gas to drive 240 miles on the highway. if she travels at the same rate, how many miles can she drive on

17 gallons of gas?

1 answer:

Bad White [126]4 years ago

8 0

510 miles on the highway
Hope this helps

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What is the number name of (i)46,25,689and (ii)658,902,250

Solnce55 [7]

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

5 0

3 years ago

The width of a rectangle measures (3v-3w) centimeters, and its length measures (5v-9w) centimeters. Which expression represents

Alex17521 [72]

Answer: The Perimeter of the rectangle, P= 16v −24w

Step-by-step explanation:

Perimeter of a rectangle = 2( L +W) = 2L + 2W

The width of a rectangle is given as (3v-3w) centimeters,

its length is given as (5v-9w) centimetres

The Perimeter,P will now be = 2L + 2W

P=2( 3v-3w) + 2( 5v-9w)

P=6v −6w + 10v - 18 w

adding like terms

P=6v + 10v −6w −18 w

P= 16v −24w

3 0

3 years ago

How many solutions is 8x+47=8(x+5)

expeople1 [14]

8x + 47 = 8x + 40

No solutions (the above 2 expressions cannot be equal for any value of x)

7 0

3 years ago

Read 2 more answers

Consider the function f(x)= 1-|x-1|+|x+1| for -3<x<3. Recall that the absolute function can be represented as a piece wise

Kruka [31]

By the definition for the absolute value,

$|x-1|=\begin{cases}x-1&\text{for }x\ge1\\-(x-1)&\text{for }x$
$|x+1|=\begin{cases}x+1&\text{for }x\ge-1\\-(x+1)&\text{for }x$

So for the compound function $f(x)=1-|x-1|+|x+1|$ , there are three intervals to consider. What happens when $x$ ? when $-1\le x$ ? when $x\ge1$ ?

You have

$f(x)=\begin{cases}1-(-(x-1))+(-(x+1))=-1&\text{for }x$

8 0

4 years ago

Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuad

laila [671]

Answer:

$17-2.262\frac{1.9}{\sqrt{10}}=15.641$

$17+2.262\frac{1.9}{\sqrt{10}}=18.359$

So on this case the 95% confidence interval would be given by (15.641;18.359)

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

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".

$\bar X=17$ represent the sample mean

$\mu$ population mean (variable of interest)

s=1.9 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that $t_{\alpha/2}=2.262$

Now we have everything in order to replace into formula (1):

$17-2.262\frac{1.9}{\sqrt{10}}=15.641$

$17+2.262\frac{1.9}{\sqrt{10}}=18.359$

So on this case the 95% confidence interval would be given by (15.641;18.359)

And since the lower limit for the confidence interval is higher than 15 we can conclude that at 5% of significance the true mean is higher than 15 cm

4 0

3 years ago