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Hunter-Best [27]
2 years ago
10

1. Are the polygons similar?

Mathematics
1 answer:
jeyben [28]2 years ago
3 0

The polygons are similar.

This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below

35/28 = 1.25

25/20 = 1.25

(15.5)/(12.4) = 1.25

So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.

You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.

After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.

Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.

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If the filling equipment is functioning properly what is the probability that the volume of oil in a randomly selected barrel wi
Sophie [7]

Answer:

P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)

P(Z>0.8)=1-P(Z\leq 0.8)

P(Z>0.8)=1-0.788=0.212

Step-by-step explanation:

Assuming this previous info : "Trucks carry barrels of crude oil from a port in Texas to a distributer in New Mexico on long  trailers. Filling equipment is used to fill the barrels with the oil. When functioning properly,  the actual volume of oil loaded into each barrel by the filling equipment at the port is  approximately normally distributed with a mean of 55 gallons and a standard deviation of 0.5  gallons. If the mean is greater than 55.4 gallons, the filling mechanism is overfilling."

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the amount filling of a population, and for this case we know the distribution for X is given by:

X \sim N(55,0.5)  

Where \mu=55 and \sigma=0.5

We are interested on this probability

P(X>55.4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)

And we can find this probability using the complement rule:

P(Z>0.8)=1-P(Z\leq 0.8)

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(Z>0.8)=1-0.788=0.212

8 0
3 years ago
On a grocery store shelf, there are 16 loaves of white bread and 24 loaves of wheat bread. A shopper randomly selects a loaf of
Oksanka [162]

Answer:

60%

Step-by-step explanation:

16 loaves of white bread and 24 loaves of wheat bread. = 40 loaves of bread

P( wheat) = number of wheat/ total

                 = 24/40

                 =.6

                  =60%

4 0
2 years ago
There are 20 socks in your drawer, and 12 of them are white. You grab a
Inessa [10]

Answer:

4/20

Step-by-step explanation:

8 socks we don't know

1 sock 19 socks

11 white

1 more sock 7 /20 chance to pick a random sock

3 0
3 years ago
Read 2 more answers
What is 1/3 to the power of 2​
slamgirl [31]

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

7 0
3 years ago
Please help me in the question of commission ! Grade - 9 . ​
AlladinOne [14]

Answer:

Step-by-step explanation:

Commission for  amount  Rs. 5,00,00 = \frac{2}{100}*500000

                                                               = 2* 5000

                                                               = Rs. 10,000

total commission = Rs. 32,000

Remaining commission = 32500 - 10000

                                      = Rs. 22500

Let remaining amount of the restaurant = Rs. x

Commission on Rs. x = 22500

3% of x = 22500

\frac{3}{100}*x=22500\\\\x=22500*\frac{100}{3}\\\\x = 7500*100

x = Rs. 750000

Price of the restaurant = 750000 + 500000

                                     =Rs . 1250000

7 0
2 years ago
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