Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made.
Tossing two coins and getting either one head or two heads
Choose the correct answer below.

Answer:

[tex]ST=11.2\:\mathrm{m}[/tex]

Step-by-step explanation:

Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.

In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Plugging in values, we get:

[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].

Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:

[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].

Using this, we can set up the following proportion to solve for [tex]ST[/tex]:

[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].

Answer:

81

hope this helped :D

Answer:

B

Step-by-step explanation:

3(x² - 6) + 1

3x² - 18 + 1

3x² - 17

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

Answer: do 2 x 0.6

Step-by-step explanation:

there y go

Answer: y ≤ (2/3)*x + 1/5

Step-by-step explanation:

In the graph, we can see a solid line (this means that the values of the line are part of the solution, then the symbol used will be ≤ or ≥)

Also, we can see that the shaded part (the shaded part is the solution of the inequality) is below the line. This means that y is equal to the values in the line, or smaller than the values in the line. Then we will have something like:

y ≤ a*x +b

The only option that uses this symbol is:

Y < or = to 2/3x + 1/5    (y ≤ (2/3)*x + 1/5)

Then this is the correct option.

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

Answer:

From the length (owo)

Step-by-step explanation:

All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

Answer:

here you go...........

Step-by-step explanation:

Here,

21-4z=14-8z

-4z+8z=14-21

4z=-7

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

hope this hwelps! (OwO)

Answer:

$2936.79

Explanation:

The Formula for compounding interest:

[tex]F = I(1 + \frac{r}{n})^{nt}[/tex]

F = final amount  (we need to find this)

I = initial amount (900 + 250 + 300 + 1400 = $2850)

r = interest rate  (1% = 0.01)

n = number of times interest applied per time period  (360)

t = number of time periods elapsed (36 months = 3 years)

[tex]F = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

F = 2850(1.030454105)

F = $2936.79

Answer:

He will have a total of $2936.79

Step-by-step explanation:

The total to be invested is the addition: 900+250+300+1400=2850

Now we invest this amount at the specified rate for three years (equivalent to 36 months), and use the compounded interest formula:

[tex]A=P(1+r/n)^{n*t}\\A=2850(1+0.01/360)^{3*360}\\A\approx 2936.79[/tex]

Step-by-step explanation:

HI tkando45

To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.

It is like distributing:

For Example

a2(a-4) - 2a(a-4) + 3(a-4)

a3 - 4a2 - 2a2 + 8a + 3a - 12

Now combine like terms:  

a3 - 6a2 + 11a -12   <----  that is your polynomial

now use the above examples and calculate ur question

Answer:

54% = 27/50

72% = 18/25

97% = 97/100

Answer:

(1.5,1)

Step-by-step explanation:

Answer:

3.4

Step-by-step explanation:

Answer:

28⁰ = 1

Step-by-step explanation:

If you raise a number to the power of zero, it becomes 1, regardless of the number.  The only exception is 0⁰, which is undefined.  Any other value to the power of zero equals one.

The easiest way to see it is like this:

Pick any value, we'll call it x

x⁴ = x⁵ / x

x³ = x⁴ / x

x² = x³ / x

x¹ = x² / x

x⁰ = x¹ / x

Because x¹ is equal to x, then x⁰ is just x/x, which is always equal to 1, unless x is equal to zero.

Answer:

280^0 is 1

Step-by-step explanation:

with exponents u have to multiply the base (280) by whatever the exponent is (0), but since the exponent is 0, use multiplicative identity to get 1. any number to ^0 is 1 because its the same as the product on no number at all (0)

its really confusing but i tried my best to explain it lol T-T

Answer:

he has to run another 1/3 of the race for it to equal 6 kilometer all together

Step-by-step explanation:

hope this helps

Answer:

d X v = m

12.993 X 10.49 = 136.29657

Answer:

[tex]Area = x^2 +11x + 24[/tex]

Step-by-step explanation:

Given

From the attachment, we have:

[tex]Length = x + 8[/tex]

[tex]Width = x + 3[/tex]

Required

Determine the area

Area is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = (x+8)*(x+3)[/tex]

Open brackets

[tex]Area = x(x+3)+8(x+3)[/tex]

[tex]Area = x^2 +3x + 8x + 24[/tex]

[tex]Area = x^2 +11x + 24[/tex]

Answer:

B = 43°

a = 44.7

c = 53.3

Step-by-step explanation:

✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)

B = 180 - 137

B = 43°

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a

Adjacent = 29

Thus,

tan 47 = a/29

Multiply both sides by 29

29*tan 57 = a

44.7 = a

a = 44.7 (nearest tenth)

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a = 44.7

Hypotenuse = c

Thus,

Sin 47 = 44.7/c

Multiply both sides by c

c*sin 57 = 44.7

Divide both sides by sin 57

c = 44.7/sin 57

c = 53.3 (nearest tenth)

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

According to the questions;

Hence, we must subtract 3.912 from both sides of the equation as follows;

s = 1.401

Read more on one variable equation;

https://brainly.com/question/21528555

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.