Please help me I’m currently failing this class ills really appreciate it

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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Answer:

21

Step-by-step explanation:

12 times 1.75 equals 21

Answer:

3² = 9

Step-by-step explanation:

45 =  3² × 5

81  = 3⁴

================

HCF = 3²

Answer:

miami

Step-by-step explanation:

Answer:

It might be C if im wrong sorry

Step-by-step explanation:

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equation for explicit formula

STEP 2: Write the given details

STEP 3: Get the explicit equation for f(n)

n = x

Substitute n for x in the equation in step 2.

Therefore, the explicit equation is given as:

STEP 4: Answer part B

To get how many lionfish in the bay after 6 years

Hence, there will be approximately 124073 lionfish

STEP 5: Get the recursive formula

1400 lionfish was removed per year, this gives an equation defined below:

Recursive formula is given as

Since we know that the difference each year is 1400, this gives the equation below:

By substitution, the recursive formula will be given by:

Since 1400 is removed each year, we have:

Answer:

calculate the number of atom in 3 mol helium

Answer:

Pleaseee post the question clearly

Answer:

  c.  12 cu. cm.

Step-by-step explanation:

The larger cuboid is an array of 4 × 3 = 12 of the smaller ones. The volume of the smaller cube is (1 cm)³ = 1 cu. cm. The volume of the larger cuboid is 12 times that value:

  12 × 1 cu. cm = 12 cu. cm.

Answer:

y=5x-21

Step-by-step explanation:

Answer:

s=23
3x+6 = 75

Step-by-step explanation:

let smallest odd = x
2nd odd = x+2
biggest odd = x+4

now, x+x+2+x+4 = 75
=> 3x+6 = 75
=> 3x  = 75-6 = 69
=> x = 69/3 = 23

smallest odd =23

hope it helps!

Answer:

\(\frac{2}{3}\)

Hope this helps!

Step-by-step explanation:

Slope = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

b = ( -2, 0 )

a = ( -5, -2 )

\(slope = \frac{0 - (-2) }{-2 - ( -5)}\)

slope = \(\frac{2}{3}\)

Answer:2

Step-by-step explanation:

it has biggest numbers

The most likely thing Brooks will do with his increase in income is to increase his spending now that he can afford more.

It is common for people to adjust their spending habits to match their income. With a raise, Brooks may feel that he has more disposable income and therefore increase his spending. However, it is important to note that this may not always be the case for everyone.

The way individuals handle an increase in income can vary depending on their financial situation and personal beliefs about money management. In Brooks' case, it is likely that he will increase his spending because he now has more money available to him. This may mean he can afford to purchase more skateboard trucks and wheels or other items that he previously couldn't.  However, it is important for Brooks to consider his long-term financial goals before making any major purchases. While an increase in income may feel like an opportunity to spend more, it can also be a chance to save more or pay off debt. If Brooks has outstanding debt, he may want to consider using the extra income to pay it down faster. Alternatively, he may want to put some of the extra income into savings or investments to work towards longer-term goals like buying a house or planning for retirement.

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Answer:

9 and 10

Step-by-step explanation:

We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!

Answer:

Wednesday: 45 - 18

Thursday: 55 - 22

Step-by-step explanation:

18*2.5=45

55/5=11

11*2=22

Answer:

Trees Planted Unknown Value = 45

Trees Harvested Unknown Value = 22

Step-by-step explanation:

Plants : Harvest

= 5 : 2

= x : 18

= 5 * x : 2 * x

= 5 * x : 18 / 2

= 5 * x : 9

= 5 * x : x

= 5 * x : 2 * x

= 5 * 9 : 2 * 9

= 45 : 18

Trees planted value  = 45

Plants : Harvest

= 5 : 2

= 55 : y

= 5 * y : 2 * y

= 55 / 5 : 2 * y

= 11 : 2 * y

= y :  2 * y

= 5 * y : 2 * y

= 5 * 11 : 2 * 11

= 55 : 22

Trees harvested value  = 22

I really hope this helps! Tell me if I am incorrect!

Answer:

307.72

Step-by-step explanation:

S=2nr²

S=2×3.14×7²

S=307.72

The average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

The function f(x)=80(1.5)x

where x is the time in hours

Then,

f(4)=80(1.5)4=480

f(8)=80(1.5)8=960

f(0)=80(1.5)0=0

Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)

=120 units per hour

The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)

=120 units per hour

Hence, the average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

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The correct option is option a) mutually exclusive.

Mutually exclusive events are events that cannot occur simultaneously. They are also referred to as disjoint or incompatible events. In probability theory and statistics, mutually exclusive events have a probability of zero occurring together.

For example, in a coin flip, getting "heads" and getting "tails" are mutually exclusive events because a coin cannot land on both "heads" and "tails" at the same time.

Another example would be the events "rolling a six on a dice" and "rolling an even number on a dice", these events are mutually exclusive because a dice can't land on a six and an even number at the same time.

In general, mutually exclusive events have no intersection, meaning that they don't share any outcomes.

Therefore, The correct option is option a) mutually exclusive.

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PN = 12 when P is the centroid .

What is centroid in triangle ?

The center of the thing is represented by the centroid. The centroid of a triangle is the location where the three medians of the triangle intersect. The junction of all three medians is another way to describe it.

                              The middle point of a side and the opposing vertex of a triangle are connected by a line known as the median.

Mp, Lp, and NQ are indeed the central lines of a large briangle MNL, according the problem. Particles entersect at point P.

This is referred to as a baryc enter of a friangle.

And has the quality Np= 2PQ, therefore we can obtain it.

       NP = 2/3QN

        PQ = 1/3QN

        NP = 2/3 * 18  = 12

        PQ = 1/3 * 18 = 6

When you are aware, the point p is indeed the barycenter of a large triangle, and this is an important trait.

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Answer:

60 is the rounded up version

Step-by-step explanation:

Have a great day

The total flying time for the round trip if there was no wind would be 2 hours 24 minutes. The result is obtained by using the elimination method.

The elimination method is a method for solving system of linear equations where we eliminate one variable so that we can get an equation in one variable. In doing that, we can either add or subtract the equations.

Given the case that an airplane takes 1 hour 30 minutes to fly 600 km against the wind. It takes only 1 hour in the return trip.

What would be the total flying time for the round trip if there was no wind?

Let's say:

When the airplane leaves,

v - w = 600 km / 1.5 hour

v - w = 400 kph ... (equation 1)

When the airplane returns,

v + w = 600 km / 1 hour

v + w = 600 kph ... (equation 2)

We eliminate the equation 2 and 1 to get the speed of the airplane.

v - w = 400 kph

v + w = 600 kph +

2v = 1000 kph

v = 1000 ÷ 2

v = 500 kph

For the round trip, the airplane would fly 600 × 2 = 1200 km.

The total flying time if there was no wind would be

t = s/v

t = 1200/500

t = 2.4 hour

t = 2 hours 24 minutes

Hence, the  total flying time for the round trip if there was no wind is 2 hours 24 minutes.

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Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

Step-by-step explanation:

Make me brainlest.

The probability that the second card is a spade given the first one is a spade is 12/51.

To find the probability that the second card drawn is a spade given that the first one is a spade, we need to use conditional probability.

Let's first find the probability of drawing a spade on the first draw. Since there are 13 spades in a standard deck of 52 cards, the probability of drawing a spade on the first draw is 13/52 or 1/4.

Now, since we are drawing without replacement, there are only 51 cards left in the deck for the second draw and only 12 spades left. So, the probability of drawing a spade on the second draw given that the first one was a spade is 12/51.

Therefore, the probability that the second card is a spade given that the first one is a spade is 12/51 or approximately 0.235.

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Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

22.36 feet

Step-by-step explanation:

This situation forms a right triangle, where the wire is the hypotenuse

Use the pythagorean theorem to find the hypotenuse/wire length:

a² + b² = c²

20² + 12² = c²

400 + 144 = c²

544 = c²

22.36 = c

So, the wire is 22.36 feet long

45 because 12+15+8+5+5=45

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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