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3 years ago

In the diagram, the length of segment VS is 39 units.

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

$TV=38\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The figure shows a kite

The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular

That means

TS=VS

TQ=VQ

TR=RV

we have

$VS=39\ units$

$TS=6x-3$

$6x-3=39$

solve for x

$6x=39+3\\6x=42\\x=7$

Find the value of RV

$RV=2x+5$

substitute the value of x

$RV=2(7)+5=19\ units$

Remember that

$TV=TR+RV$ ---> by segment addition postulate

we have

$TR=RV=19\ units$

$TV=19+19=38\ units$

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes

frosja888 [35]

Answer:

The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08

Step-by-step explanation:

First of all we would have to perform the following table:

Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0

A 500 0.15 0.21 75 105

B 50 1.60 1.80 80 90

C 100 4.50 4.20 450 420

D 40 12.00 13.40 480 536

Total 1085 1151

Therefore, using laspeyres index number, we calculate the following:

laspeyres index number=(∑P1×Q0/∑P0×Q0)×100

laspeyres index number=(1151/1085)×100

laspeyres index number=106.08

8 0

3 years ago

Please answer this correctly

jolli1 [7]

Answer:

No, because there is just as high of a possibility that the other is biased too.

8 0

3 years ago

You make 10 cups of pudding and pour it into 6 containers how many cups of pudding are in each container

masya89 [10]

1.67 cups.
10 divided by 6, then round.

7 0

3 years ago

On a number line what is the difference between -3/7 and -2/3?

Yakvenalex [24]

Answer: -5/21

Step-by-step explanation:

-3/7 & -4/6

common detonator is 42

-3/7 = -18/42 reduced to -9/21

-4/6 = -28/42 reduced to -14/21

difference between -9/21 and -14/21 = -5/21

4 0

3 years ago