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UNO [17]
3 years ago
14

Currently stuck on this problem

Mathematics
2 answers:
barxatty [35]3 years ago
8 0

Answer:

116 degrees

Step-by-step explanation:

The sum of all three angles of a triangle is 180 degrees.  Here we know two of these angles immediately:  65 and 51 degrees.  The third is 180 - (65 + 51), degrees, or 64 degrees.

Angle PST and this 64 degree angle form straight angles; their sum is 180 degrees.  We are to find Angle PST.  Do that by subtracting 64 from 180:

Angle PST = 180 - 64 degrees, or 116 degrees.

ivolga24 [154]3 years ago
4 0

Answer:

116°

Step-by-step explanation:

The angles of any triangle will add up to 180°. Since we know the measures of ∠SPR and ∠PRS, we can find the measure of ∠PSR by adding the two measures and subtracting from 180°.

61+51 = 116

180 - 116 = 64

Now we know the measure of ∠PSR. Note that ∠PSR is supplementary to ∠PST, meaning that both values add up to 180. Let's do the math then.

180-64 = 116

This means that the measure of ∠PST is 116°.

Hope this helped!

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See attachment for the whole question.
KengaRu [80]

Using probability concepts, it is found that:

a) \frac{4}{13} probability of drawing a card below a 6.

b) \frac{4}{9} odds of drawing a card below a 6.

c) We should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

------------------------------

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

Item a:

  • In a standard deck, there are 52 cards.
  • There are 4 types of cards, each numbered 1 to 13. Thus, 4 \times 5 = 20 are less than 6.

Then:

p = \frac{20}{52} = \frac{4}{13}

\frac{4}{13} probability of drawing a card below a 6.

Item b:

  • Converting from probability to odd, it is:

\frac{4}{13 - 4} = \frac{4}{9}

\frac{4}{9} odds of drawing a card below a 6.

Item c:

  • The law of large numbers states that with a <u>large number of trials, the percentage of each outcome is close to it's theoretical probability.</u>
  • Thus, we should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

A similar problem is given at brainly.com/question/24233657

7 0
3 years ago
If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
cupoosta [38]

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

6 0
3 years ago
Read 2 more answers
How do I solve this?
Gelneren [198K]
I hope this helps you! 

8 0
3 years ago
SOOO this jejwijsnxnJjxnndjjs
Tcecarenko [31]

Answer:

Step A) 250 times 3 months + 500 cause you already have that in your bank account= 1250

Step B) 12+12=24 so 250 times 24=6000+ 500 cause you already have that in your bank account= 6500

Step C) 8,300- 6500= 1800 then, 250 time 5 + 500= 1750, and 250 times 6 = 1500+500=2000 so you can go with whatever.

Step D) 3 years= 36 months so 250 times 36 months= 9000 so in three yrs you should have about 9500 bc you need to add the 500 on again. sry I could not do the graph but I hoped I helped. :)

Step-by-step explanation:

8 0
3 years ago
Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants
lozanna [386]

Answer:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

Step-by-step explanation:

You have the following differential equation:

3y''+12y=0     (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i

The solution of the differential equation is:

y(x)=c_1e^{m_1x}+c_2e^{m_2x}   (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

y(x)=c_1e^{2ix}+c_2e^{-2ix}

4 0
3 years ago
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