Carlos mixed 4/15 L of chocolate syrup with 1/2 L of milk

Two years ago, Erin was 35 inches tall. To ride the roller coaster at a theme park, she must be at least 42 inches tall. If she

luda_lava [24]

Answer:

In two years erin grew 7 inches

Step-by-step explanation:

42 - 35 = 7

6 0

2 years ago

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Find the equation of the straight line which passes through each of the following pairs of points.

Tems11 [23]

Answer:

y = 3x + 1

Step-by-step explanation:

First, find slope:

$y2 - y1 / x2 - x1$

$10 - 4/ 3 - 1 = 6 / 2 = 3$

Then, put the equation into point-slope form using the point (1, 4):

$y - y1 = m(x - x1)$

where m is the slope

y - 4 = 3(x - 1)

If you want to put this into slope-intercept form, it would be

$y-4=3(x-1)\\y - 4 = 3x - 3\\y = 3x + 1$

4 0

3 years ago

How do you do 720 divided by 10 with the exponet of 3

Allisa [31]

If you mean 720/10^3, you do 10*10*10. This equals 1000. Now, do 720/1000. This is 0.72, or 72/100, which is your answer.

4 0

3 years ago

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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 $t_{\alpha/2}=2.262$