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1 year ago

311, 305,299,...Find the 32nd term.

Mathematics

1 answer:

adell [148]1 year ago

4 0

Answer:

503

Step-by-step explanation:

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Medians $\overline{dp}$ and $\overline{eq}$ of $\triangle def$ are perpendicular. if $dp= 18$ and $eq = 24$, then what is ${de}$

monitta

Denote by M the point of intersection of the medians.
Denote also the distance DM by x and the distance QM by y.
From the median properties of triangles we know that
$y=\frac{1}{3}\timesFQ=\frac{1}{3}\times24=8$
Also,
$x=\frac{2}{3}\times DP=\frac{2}{3}\times 18=12$
Since the medians are perpendicular, we deduce that:
$x^2+y^2=DQ^2\iff DQ=\sqrt{8^2+12^2}=14.4$
Then, since $DE=2\times DQ\text{ then }DE=2\times 14.4=28.8$

6 0

2 years ago

Read 2 more answers

Toyota advertises that their Toyota Highlander Hybrid provide 28 MPG. To test this, an experiment involving a sample of 20 Toyot

klemol [59]

Answer:

We accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 28.8 miles per gallon

Sample size, n = 120

Alpha, α = 0.01

Sample standard deviation, σ = 6.89 miles per gallon

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 28\text{ miles per gallon.}\\H_A: \mu \neq 28\text{ miles per gallon.}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.8 - 28}{\frac{6.89}{\sqrt{19}} } = 0.5061$

Now, $t_{critical} \text{ at 0.01 level of significance, 19 degree of freedom } =\pm 2.8609$ Since,

$-2.609 < t_{stat} < 2.8609$

We fail to reject the null hypothesis and accept it.

We accept the null hypothesis and the population mean MPG of Toyota Highlander Hybrid vehicles is equal to 28 miles per gallon.

5 0

2 years ago

When you graph the exact same equation twice ?

Helen [10]

You will have infinite solutions

3 0

2 years ago

a dealer bought some tires for 6500 the tires were sold for 9500 making $50 on each tire how many tires were involved

torisob [31]

130 tires were involved.

4 0

2 years ago

Read 2 more answers

A print shop purchases a new printer for $25,000. The equipment depreciates at a rate of 5% each year. The relationship between

Pani-rosa [81]

Answer:

The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.

Step-by-step explanation:

Since the printer depreciates at a rate of 5% per year, I believe the stated equation is miss typed. Therefore I'll answer this with the correct equation that would represent that setting:

$y(x) = 25,000*0.95^x$

In the first year the value of the printer is:

$y(1) = 25,000*0.95^1 = 23,750$

On the second year the value of the printer is:

$y(2) = 25,000*0.95^2 = 22,562.5\\$

On the third year the value of the printer is:

$y(3) = 25,000*0.95^3 = 21,434.38\\$

The value of the printer on the first year was $ 23,750.00. On the second year it was $ 22,562.5. On the third year it was $ 21,434.38.

5 0

2 years ago