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ololo11 [35]
3 years ago
10

The experimental probability of hearing thunder on any given day is Florida is 25%. Out of 730 days, about how many days can Flo

ridians predict to hear thunder?
Mathematics
1 answer:
Orlov [11]3 years ago
4 0

The Floridians can predict to hear the thunder on about 183 days out of the 730 days.

<u>Step-by-step explanation:</u>

Given that,

  • The total number of days = 730 days.
  • The probability of hearing thunder on any day in Florida = 25%

Let 'x' be the number of days out of 730 days that Floridians will hear thunder.

<u>To find the number of days that Floridians will hear thunder :</u>

Number of days will hear thunder = 25% of Total days

The 25% can be expressed in the form of 25/100.

Therefore, the x days that Floridians will hear thunder is given as,

⇒ x = (25/100) × 730

Further simplifying the above equation,

⇒ x = 2.5 × 73

⇒ x = 182.5

Since the number next to the decimal point is equal to 5, round it to the nearest integer.

Therefore, the value of x is approximately equal to 183 days.

Thus the Floridians can predict to hear the thunder on about 183 days out of the 730 days.

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PLEASE HELP ME WITH THIS MATH!!!!!!!!!. pLeAsE i ReAlLy NeEd SoMe HeLp
KonstantinChe [14]
Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
m∠13=m∠11------> by vertical angles
m∠13=86°
m∠12+m∠13=180°-----> supplementary angles
m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
m∠9=180-50-----> 130°
m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
sin 30=PR/TP-----> PR=TP*sin 30-----> PR=14*(1/2)----> 7 in

the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

Part 3) Patrice buys a block of wax in the shape of a right rectangular prism. The dimensions of the block are 20 cm by 9 cm by 8 cm.
  <span><span>(a)   </span>What is the volume of the block?

volume of the prism=20*9*8-----> 1440 cm³

the answer Part 3 a) is
the volume of the block is 1440 cm³
<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
</span></span>volume of a cylinder=pi*r²*h
diameter=10 cm
radius r=10/2----> 5 cm
h=15 cm
volume of a cylinder=pi*5²*15----> 1177.5 cm³-----> 1178 cm³

the answer Part 3b) is
the volume of the candle is 1178 cm³

<span>Patrice decides to use the remaining wax to create a candle in the shape of a cube.<span>(c)   </span>To the nearest centimeter, what is the length of the side of the cube?
</span>
the remaining wax=volume of the prism-volume of a cylinder
=1440-1178-----> 262 cm³

volume of a cube=b³
where b is the length side of the cube
262=b³-------b=∛262-----> b=6.40 cm-----> b=6 cm

the answer Part 3c) is
the length of the side of the cube is 6 cm
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The Jones family has 2 kids, 1 boy and 1 girl. Suppose that for each birth, the probability of a boy birth is
nirvana33 [79]

Answer:

1/2

Step-by-step explanation:

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3 years ago
17. Solve for x: 3xyz <br> i need help i would be very grateful ty :)
olga2289 [7]

Answer:

  • C. x = P/3yz

Step-by-step explanation:

<u>Given equation:</u>

  • 3xyz = P

<u>Solve for x, divide both sides by 3yz:</u>

  • 3xyz/3yz = P/3yz
  • x = P/3yz

Correct choice is C

3 0
2 years ago
At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen
Tpy6a [65]

Answer:

The system of equations is:

a+s = 250\\5a+2.50s = 837.50

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

a+s = 250

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: 5a

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be:2.50s

The total earning was $837.50 so the second equation will be:

5a+2.50s = 837.50

Hence,

The system of equations is:

a+s = 250\\5a+2.50s = 837.50

Here a is the number of adult tickets and s is the number of student tickets

7 0
3 years ago
Samantha measured 40 1/2 inches. Over the next 5 1/2 years, she grew to a height of 57 inches. During the 5 1/2 years, what was
Alexxandr [17]

Answer:3 in. per yr

Step-by-step explanation:

Present height of Samantha is 40\frac{1}{2}=\frac{81}{2}

After next 5\frac{1}{2} years i.e. \frac{11}{2} years

she grew to 57\ inches

Increase in her height=57-\frac{81}{2}=16.5\ inches

Increase in height per year is =\frac{16.5}{5.5}=3\ in.\ per\ year

3 0
3 years ago
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