A bag contains 8 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability
that both marbles drawn will be green? Compound possibility.

Answer:

K5.60.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.

Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).

The value of approximation will be calculated as

T(W) = ( 300 ) / ( 530 -W).

T(110) = ( 300 ) / ( 530 - 110)

T(110) = (300 ) / ( 420)

T(110) = 0.714

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.

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Answer:

34,466

Step-by-step explanation:

Given:

Number of males born in 2000 = 2,086,814

Percentage of males bearing Jacob of all males born in 2000 = 1.6516%

Required:

Number of Jacobs born in 2000

Solution:

Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.

\( = \frac{1.6516}{100}*2,086,814 \)

\( = 0.016516*2,086,814 = 34,465.82 \)

Number of Jacobs born in 2000 is approximately 34,466.

a. The value of P(2) is 0.022

b. The value of P(2 or fewer) is 0.027

From the question; n = 15, p = 0.4

a. We have to determine P(2).

P(X = x) = ⁿCₓ·Pˣ·(1 - P)ⁿ⁻ˣ

P(X = 2) = ¹⁵C₂·(0.4)²·(1 - 0.4)¹⁵⁻²

We can write ⁿCₓ = \(\frac{n!}{x!(n - x)!}\)

P(X = 2) = \(\frac{15!}{2!(15 - 2)!}\) · (0.16) · (0.6)¹³

P(X = 2) = \(\frac{15\times14\times13!}{2\times1\times13!}\) · (0.16) · (0.6)¹³

P(X = 2) = (15 × 7) · (0.16) · (0.6)¹³

After simplification

P(X = 2) = 0.022(approx)

b. We have to determine P(2 or fewer).

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁵C₀·(0.4)⁰·(1 - 0.4)¹⁵⁻⁰ + ¹⁵C₁·(0.4)¹·(1 - 0.4)¹⁵⁻¹ + ¹⁵C₂·(0.4)²·(1 - 0.4)¹⁵⁻²

After simplification like above

P(x ≤ 2) = 0 + 0.005 + 0.022

P(x ≤ 2) = 0.027

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Thus, the boat travels x = 139.18 miles in North direction  and y = 143.62 miles east from the harbor.

It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.

As indicated below, we must determine how far east and north the boat has moved relative to the harbour.

X miles north:

cos 51 = x/200

x = 200*cos51

x = 139.18 miles

y miles east:

sin 53 = y/200

y = 200*sin 51

y = 143.62 miles

Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.

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Answer:

umm none the above cuz 5^-2 = 1/25 and 5^-4 = 625, 625*25 = 15625 so 1/15625 bru

Step-by-step explanation:

how long is the track or namely, what's its perimeter.

\(\textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d= 75 \end{cases}\implies C=\pi 75\implies C \approx 235.62\)

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

\((-10)^2 = 100\)

second part: (x - 10)(x - 10) or \((x-10)^2\)

Answer:

x (x-20)

Step by step

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

Answer:

The most appropriate way to state the conclusion is:

d. There is not enough evidence to say that men have a longer mean nose length than women.

Step-by-step explanation:

We have the result of a hypothesis test.

The claim was that men have a longer mean nose length than women.

That means that the alternative hypothesis states that men's mean nose length is higher than the women's mean nose length.

\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0\)

The P-value of the test is 0.225, which for any usual significance level is large enough to fail to reject the null hypothesis. Then, there is no enough evidence to support the claim that men have a longer mean nose length than women.

a. Men have a longer mean nose length than women.

FALSE. There is no enough evidence to support the claim.

b. The probability is 0.225 that men and women have the same mean nose length.

FALSE. That is not the meaning of the P-value.

c. The mean nose lengths of the populations of men and women are identical.

FALSE. We can not claim that the null hypothesis is true, even when we havo no enough evidence to reject it.

d. There is not enough evidence to say that men have a longer mean nose length than women.

TRUE. This is the the most appropriate way to state the conclusion.

Answer:

s=

\( \frac{1}{2} \)

Answer:

To find the perimeter of an equilateral triangle, the formula is Side X 3

If it's a Scalene or an Isosceles triangle , add all sides.

Hope it helps ;)

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Answer: The area of a rhombus can be calculated using the formula:

A = (base x height) / 2

Substituting the given values, we get:

A = (17 in x 14 in) / 2

A = 119 sq in

Therefore, the area of the rhombus is 119 square inches.

Hence, the answer is option B, 119 in2.

Step-by-step explanation:

The area of the rhombus is 238 square inches.

To find the area of a rhombus, you can use the formula: Area = base * height.

In this case, the base of the rhombus is 17 inches and the height is 14 inches. Plugging these values into the formula, we get Area = 17 * 14 = 238 square inches.

Therefore, the area of the rhombus is 238 square inches.

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Answer:

8

Step-by-step explanation:

68/8.2=8

Answer:

y = -3x-2

Step-by-step explanation:

3y = -9x-6. y = (-9x-6)/3. y = (-9x/3)+(-6/3). y = -3x-2

Answer:

Step-by-step explanation:

50:100 and 1:2

15:20 and 3:4

15:16 and 5:2

10:5 and 2:1

Hope this helps!

The person that has a faster rate regarding the flyers is Jason.

It should be noted that since Margie hands out 100 flyers in 2 hours, he rate will be 100/2 = 50 flyers per hour.

In the other hand, Jaxon hande over 18 flyers in 15 minutes. Note that 15 minutes = 15/60 = 1/4 hour = 0.25 hour. The rate will be:

= Number of flyers / Time

= 18 / 0.25

= 72 flyers per hour.

Therefore, Jason has a faster rate. This shows the calculation for rates.

The complete question is given below.

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Complete question

Northside High School is having a spaghetti dinner fundraiser.  In order to advertise, students place flyers on neighborhood doors.  Margie hands out 120 flyers in 2 hours. Jaxon hands out 18 flyers in 15 minutes.  Who is able to pass out flyers at a faster rate?

the length of the frame is 21 inches.

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

Answer:1.225km is equal to each laps

Step-by-step explanation:

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

100

Step-by-step explanation:

20 percent of 500 = 0.20*500 = 100

Answer:

100

Step-by-step explanation:

20% * 500 = 0.2 * 500 = 1/5 * 500 = 100

Answer:

y=7/5x+4

Step-by-step explanation:

the other ones either are to low on the graph to hit -5-3 or they are parallel instead of perpendicular to the given equation

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Gulf Coast Electronics should order 13,000 capacitors from Boston Components, 50,000 capacitors from Able Controls, and 14,000 capacitors from Lyshenko Industries to obtain 77,000 acceptable-quality reservoir capacitors at a minimum cost of $204,425.

To minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors, we can formulate the following linear program:

Objective function:

Minimize: 2.35B + 2.6A + 2.85L

Subject to:

B + A + L = 77000 (total number of capacitors required)

B ≥ 0.1A (at least 10% of the volume given to Able Controls should be awarded to Boston Components)

L ≥ 29500 (at least 29,500 capacitors should be ordered from Lyshenko)

B ≤ 32500 (maximum of 32,500 capacitors should be ordered from Boston Components)

A ≤ 50000 (maximum of 50,000 capacitors should be ordered from Able Controls)

L ≤ 48500 (maximum of 48,500 capacitors should be ordered from Lyshenko)

0 ≤ B, A, L (non-negativity constraints)

Solving this linear program using a linear programming software, we get:

B = 13000

A = 50000

L = 14000

Correct Question :

Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.4% of capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components’ defective rate to be 12%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 77000 acceptable-quality capacitors to use in its electronic devices. To ensure that Boston Components will receive some of the contract, management specified that the volume of reservoir capacitors awarded to Boston Components must be at least 10% of the volume given to Able Controls. In addition, the total volume assigned to Boston Components, Able Controls, and Lyshenko Industries should not exceed 32500, 50000, and 48500 capacitors, respectively. Because of Gulf Coast’s long-term relationship with Lyshenko Industries, management also specified that at least 29500 reports should be ordered from Lyshenko. The cost per capacitor is $2.35 for Boston Components, $2.6 for Able Controls, and $2.85 for Lyshenko Industries.

Formulate and solve a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer is zero. If the constant is "1" it must be entered in the box.

Let B = number of capacitors ordered from Boston Components

Let A = number of capacitors ordered from Able Controls

Let L = number of capacitors ordered from Lyshenko Industries

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Using the law of sines, equation A). \(\frac{sin(51)}{2.6} = \frac{sin(76)}{z}\) is correct and can be used to solve for the value of z.

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is also known as the sine rule.

\(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\)

Similarly, In triangle XYZ,

\(\frac{sin(51)}{2.6} = \frac{sin(76)}{z}=\frac{sin(53)}{x}\)

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Answer:

E

Step-by-step explanation:

y’’ + 9y = sin(3x)

The characteristics equation is;

m^2 + 9 = 0

solving this we have 2 complex roots

m= -3i, 3i

Thus;

yh = Ccos(3x)+ Dsin(3x)

let yp = Axcos(3x) + Bxsin(3x)

Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer