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3 years ago

What is the area of this parallelogram?

Mathematics

1 answer:

SpyIntel [72]3 years ago

3 0

Answer:

88 m²

Step-by-step explanation:

Add the two bottom lengths to get

11 m

Multiply it with the height which is 8 m

11 m·8 m

88 m²

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A tow truck company in Houston charges a $40 service call fee and an additional fee of $15 per mile that the vehicle is towed. W

Juliette [100K]

Answer:

Step-by-step explanation:

Step one:

given data

charged = $40 call fee

additional charges= $15 per mile

let the number of miles be m

and let the total charges be c

Required, the linear function which represents the total charges

Step two:

the equation for the charges in slope-intercept form is

c=15m+40

7 0

3 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

What is the rule for the given sequence? 3, 8, 23, 68, 203,

EleoNora [17]

Answer: Add the number previously added multiplied by 3;

+3x, where x is the number that was added previously

Step-by-step explanation:

3+5=8. That's the first equation, where 5 is x. Then the next equation, 8+3x=23. 8+15=23. It works for all of the equations, so that's the pattern.

4 0

3 years ago

Read 2 more answers

How would I simplify the equation 5u^6x^2+20wx/15x^4

Akimi4 [234]

Answer:

The simplified form is $5u^6x^2+\frac{4w x^{-3}}{3}$

Step-by-step explanation:

To simplify the expression given to use, we need to reduce the given expression in its simplest form. There should not be any possibility for the further cancelling out of the division terms, if any.

Now the expression that is given to us is:

$5u^6x^2+\frac{20wx}{15x^4}\\$

Here we will simplify it, as follows:

$5u^6x^2+\frac{20wx}{15x^4}\\=5u^6x^2+\frac{4w}{3x^3}\\=5u^6x^2+\frac{4w x^{-3}}{3}$

So this is the required simplified form.

3 0

3 years ago

Find the un know value diameter= 9.8 circumfrence=? radius=? it is question of pie

Monica [59]

The radius is 4.9 and the Circumference is 9.8π

Step-by-step explanation:

Data:

Diameter = 9.8

Circumference = ?

Radius = ?

Radius

Radius is half of the diameter so radius = $\frac{diameter}{2}$

Radius = $\frac{9.8}{2}$

Radius = 4.9

Circumference

Circumference = 2πr

Circumference = 2π(4.9)

Circumference = 9.8π

Therefore, the radius is 4.9 and the Circumference is 9.8π

Keywords: Circumference

Learn more about circumference at

#LearnwithBrainly

8 0

3 years ago