What is the compound probability that student A chooses yellow and student B chooses yellow from their mnms at the same time? How likely is this? Yellow is worth 7/30

Answer:

Step-by-step explanation:

12 + 8 = 20 , 20 + 8 = 28 , 28 + 8 = 36

5 + 8 = 13 , 13 + 8 = 21 , 21 + 8 = 29

Answer:

29

Step-by-step explanation:

The sequence of values

5 , 13, 21 , ?

The values are increasing by 8 so missing value is

? = 21 + 8 = 29

Answer:

well, we only no that

2l + 2w is 80

(lengths and widths on all 4 sides

and that w * l is A

so the function should be w times what's left for l, but also expressed by something with w

2l + 2w = 80 | -2w

2l = 80 -2w | devide by 2

l = 80 - w

now we can substitute l in

A = w * l

so that we only need w's

A(w) = w * (80-w)

for any w it will give us the area, makes only sense for 0<w<80

Answer:

x = 11

Step-by-step explanation:

<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel

<4 = <5

7x+5 = 5x+27

Subtract 5x from each side

7x+5-5x = 5x+27-5x

2x+5 = 27

Subtract 5 from each side

2x+5-5=27-5

2x =22

Divide by 2

2x/2 =22/2

x =11

Answer:

Step-by-step explanation:

x-3=0mod 4 means

if x-3 is divided by 4 ,remainder is zero.

[tex]\frac{x-3}{4} =m(say)\\x-3=4m\\x=4m+3[/tex]

where m is an integer.

Answer:

222 yds^3

Step-by-step explanation:

First find the volume of the back rectangular prism

V = l*w*h = 9* 6*3 =162

Then find the volume of the front rectangular prism

V = 5*4*3 = 60

Add them together

V total = 162+60 =222 yds^3

Answer:

w = 5

Step-by-step explanation:

15 = 3w

Switch sides.

3w = 15

Divide both sides by 3.

w = 5

3w = 15

Divide both sides by 3

3w ÷ 3 = 15 ÷ 3

w = 5

Answer:

Area = 15 square cm

Step-by-step explanation:

[tex]Area = base \times height\\\\[/tex]

       [tex]= 5 \times 3\\= 15 \ cm^2[/tex]

area =15cm²

Answer:

Solution given:

Area of a given polygon [parallelogram]=

base*height=5*3=15cm²

9514 1404 393

Answer:

  (x, y) = (59/45, 11/15) ≈ (1.311, 0.733)

Step-by-step explanation:

A graphing calculator shows us the solution is not integer values, so we may find it easiest to solve these equations using the "cross-multiplication method."

Writing the equations in general form, we have ...

  3x -4y -1 = 0

  6x +7y -13 = 0

Then we can form an array of the coefficients, repeating the first column:

  [tex]\begin{array}{cccc}3&-4&-1&3\\6&7&-13&6\end{array}[/tex]

Forming differences of cross products involving adjacent pairs of columns gives ...

  d1 = (3)(7) -(6)(-4) = 45

  d2 = (-4)(-13) -(7)(-1) = 59

  d3 = (-1)(6) -(-13)(3) = 33

Then the solutions are found from ...

  1/d1 = x/d2 = y/d3

or

  x = d2/d1 = 59/45

  y = d3/d1 = 33/45 = 11/15

The solution is (x, y) = (59/45, 11/15) ≈ (1.311, 0.733).

_____

Additional comment

This takes longer to explain than to do. One reason we like it is that the number of math operations is slightly smaller than the number of math operations required for substitution or elimination. It is especially nice when the solution is not a pair of integers.

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

Answer:

16 pages

Step-by-step explanation:

1 hour= 2 pages written of notes

so 8 hours of notes = 8x2=16 pages

the answer is C, hope this helps.

Answer:

BELOW

Step-by-step explanation:

(Y, X)

Y=-1

X=1

*** ACCORDING TO MY SOLUTION THE ANSWER IS (-1,1)

Answer:

18 muffins

Step-by-step explanation:

Amount of flour Maggie used

Total amount of flour she bought - Amount of flour left over.

= 45oz - 14.72 oz

= 30.28 oz of flour

She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.

Hence,

Let the number of muffins = x

17.5 + 0.71x = 30.28

0.71x = 30.28 - 17.5

0.71x = 12.78

x = 12.78/0.71

x = 18 muffins

Therefore, Maggie made 18 muffins

Answer:

m∠RUT=1/2 m∠RST

=1/2(68)

=34°

m∠RUT=34°

Answer:

∠D = 56°

∠D = 180° - (35° + 89°) = 56°

Answer:

.99815

which is about

99.815%

Step-by-step explanation:

we are looking for 35<x<77

We need to find (what I think is called) the z score which is acheieved through what I'm pretty sure is called standardizing

What we do is subtract the mean and then divide by the standard deviation

so for 35 we have

(35-56)/7= -3.29

due to the fact that the normal distribution is symmetric this is equal to 1-p(3.29)

to find p(3.29) grab a ztable and get p(3.29)= .9995

1-.9995= .0005

For 77 we have

(77-56)/7=3

grab a ztable and find the 3= .99865

Finally subtract these two to get the final answer

.99865-.0005= .99815

Answer:

1√6

Step-by-step explanation

9+7=16

Answer:

18.0

Step-by-step explanation:

The three lines form a right triangle where 10 and 15 are the two legs of the triangle. You can use the pythagorean theorem to solve for the length of x.

x = [tex]\sqrt{15^{2} + 10^{2} }[/tex]

x = 18.028 (approximately 18)

Answer:

pythagorean theorem

18

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

0.3 is weakest

Given:

The equation is:

[tex]270=3e^{2.4K}[/tex]

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

[tex]270=3e^{2.4K}[/tex]

Divide both sides by 3.

[tex]\dfrac{270}{3}=e^{2.4K}[/tex]

[tex]90=e^{2.4K}[/tex]

Taking ln on both sides, we get

[tex]\ln (90)=\ln e^{2.4K}[/tex]

[tex]\ln (90)=2.4K[/tex]                  [tex][\because \ln e^x=x][/tex]

Divide both sides by 2.4.

[tex]\dfrac{\ln (90)}{2.4}=K[/tex]

[tex]\dfrac{4.4998}{2.4}=K[/tex]           [tex][\because \ln (90)\approx 4.4998][/tex]

[tex]1.874916667=K[/tex]

Round the value to the nearest hundredth (two decimal place)

[tex]K\approx 1.87[/tex]

Therefore, the value of K is 1.87.

Answer:

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here V = 36π , then

[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3

Answer:

[tex]AB = 21.3[/tex]

Step-by-step explanation:

Given

[tex]\sin(25) = \frac{9}{c}[/tex]

See attachment

Required

Find AB

We have:

[tex]\sin(25) = \frac{9}{c}[/tex]

Make c the subject

[tex]c = \frac{9}{\sin(25)}[/tex]

[tex]c = 21.3[/tex]

From the attached triangle;

[tex]AB = c = 21.3[/tex]

Hence:

[tex]AB = 21.3[/tex]

Answer:

$1096

Step-by-step explanation:

If Johnny Bravo bought Amazon 25 shares at $50, the cost price is expressed as;

Cost price of 25shares = 25 * 50

Cost price of 25shares = $1,250

If he sold them at $2346 a few years later

Profit = Selling price - Cost price

Profit made = 2346 - 1250

Profit made = $1096

Answer:

A

Step-by-step explanation:

Answer:

1/2 or 50% or .5

Step-by-step explanation:

She hits at .500 that's pretty good. I'd take her on my fantasy team.