8+(-7)^2-(7∙-2+1)
help. please
I know the answer is 70 but just show me how you get 70????

The mean number of tosses until we stop is 6 and the probability of stopping with HHT followed by a T before HH = 1/16.

(a) To find the mean number of tosses until you stop, we can use a recursive approach. Let E be the expected number of tosses until we stop. If the first toss is a head, then we must get another head in the next toss or stop with two heads. The expected number of tosses in this case is 2 (one for the first head and one for the second head). If the first toss is a tail, then we must get another tail in the next toss or stop with two tails. The expected number of tosses in this case is also 2. Therefore, we have:

E = 1 + 1/2(E) + 1/2(E)

Solving for E, we get E = 6, so the mean number of tosses until we stop is 6.

(b) To stop with two heads in a row, but see a second tail before a second head, we must have the following sequence of tosses: HHT. The probability of this sequence is

(1/2)(1/2)(1/2) = 1/8

The next toss must be a T, which has probability 1/2.

Therefore, the probability of stopping with HHT followed by a T before HH is (1/8)(1/2) = 1/16.

Learn more about probability :

https://brainly.com/question/29381779

#SPJ4

Answer:  rate of change = 2

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

Explanation:

Apply the slope formula. I'll use the first two columns as the two points, but you can use any two columns you want.

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-1)

m = 4/2

m = 2

The slope is 2, so the rate of change is 2. Slope and rate of change describe the same thing. Each time x goes up by 1, y goes up by 2.

Main Answer: The rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.

Supporting Explanation: Given that the volume of the spherical balloon is increasing at the rate of 5 m³/min and the volume of the balloon is given as 36π m³.The volume of the balloon is given by v = 4πr³ / 3. Therefore, 4πr³ / 3 = 36π. This gives the radius of the balloon as: r = cuberoot(27) = 3m.Then, differentiating the volume equation with respect to time, t, we get: dv/dt = 4π(3r²)dr/dt. Rearranging the above equation, we get: dr/dt = (1/3)(dv/dt) / r².Substituting the values, we get: dr/dt = (1/3 * 5) / 3²dr/dt = 1/3 m/min. Therefore, the rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.Here, the keywords used are spherical balloon, volume, rate, radius, and cuberoot.

Know more about radius  here:

https://brainly.com/question/13449316

#SPJ11

Answer:

2

Explanation:

Given the function:

The greatest power of f(x) = 3.

This means that the polynomial f(x) is a cubic polynomial.

The number of turning points in a cubic polynomial is 2.

A graphical illustration is attached below:

Thus, the number of turns in the graph of the function f(x) is 2.

Random assignment in this experiment is important to avoid bias.

By randomly assigning participants to diets with different levels of protein, the researchers are ensuring that any differences in outcomes are due to the diet, and not because of any individual characteristics of the participants. Random assignment helps to ensure that the groups being compared in the experiment are similar and that any differences seen in outcomes are due to the protein level and not other factors. Random assignment helps to eliminate any bias that could be introduced if the participants were assigned to diets based on their own characteristics. This helps to ensure that the results of the experiment are valid and accurate.

Learn more about random  here

https://brainly.com/question/27975182

#SPJ4

The solution using tangent lines, and not the actual solution curve.

True.

Euler's method is a numerical method for approximating solutions to ordinary differential equations (ODEs). The method works by taking small steps along tangent lines to the solution curve at each point, instead of finding the actual solution curve. This means that the approximation produced by Euler's method is only an estimate and may not be exact.

In particular, the error in Euler's method depends on the step size used and on the second derivative of the solution curve. As the step size decreases, the error decreases, but there is still a possibility that the approximation will deviate significantly from the actual solution curve.

Therefore, it is true that Euler's method never yields the precise value of y(t, end) because we are only approximating the solution using tangent lines, and not the actual solution curve.

To learn more about approximation visit:

https://brainly.com/question/11542606

#SPJ11

Answer:

The answer is C: 11 and 12.

Step-by-step explanation:

Answer:

$373

Step-by-step explanation:

$100 - $42 = $58

$58 - $35 = $23

$23 + $350 = $373

Mrs. Smith has $373 in her bank account

Based on the given information, we know that one bicycle trail in a new housing development is 3 miles long and the other trail is the same length as the first trail.

Therefore, the length of the second trail is also 3 miles.

Hence, the answer is: 3 miles

It seems like there's a missing piece of information in your question about the length of the second trail.

However, I will try my best to help you with the given information.
Two bicycle trails are developed in the housing development.

The first trail is 3 miles long, and we need to find the length of the second trail.

Unfortunately, there is no information provided about the second trail's length.

For similar question on bicycle trail.

https://brainly.com/question/30963648

#SPJ11

There are 134596 ways to distribute 24 slices between 6 people

Since pizza slices are the same hence order doesn't matter and also people are distinct so it is a case of combination.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Now, 24c6=24!/6!18!

=24x23x22x21x20x19x18!/6!18!

=24x23x22x21x20x19/6x5x4x3x2x1

=134596

Therefore, There are 134596 ways to distribute 24 slices between 6 people

To know more about Combination  visit:

https://brainly.com/question/28065038

#SPJ4

Step-by-step explanation:

The -5   makes the waveform amplitude of 5  the wave goes down to -5  and up to +5   BUT the -10 shifts the whole wave down 10

so it goes from -15  to -5    and the midline is then   y =  -10

Answer:

Step-by-step explanation:

You solve the inequality like you would if there was an = symbol, the only rule for inequalities is that if you multiply or divide by negative then, you flip the inequality sign

3)  -8y ≤ 40                >Divide both sides by -8, and flip sign

y ≥ 40

4)  1.1z > -3.3             >Divide both sides by 1.1, do not flip sign because

                                       you did not divide by negative

z > 3

5)  1/3 x ≥  2.5              >MUltiply both sides by 3

x ≥ 7.5

6) adjacent means next to angles

<EAD and <CAD

<CAD and <BAC

<BAC and <BAE

<BAE and <EAD

7) vertical angles means across

<EAD and <BAC

<CAD and <BAE

Answer:since <BAD ≅ <DCB

<B≅<D

<A≅<C

<D≅<B

∴ AB≅CD

HOPE THIS WAS HELPFUL

Answer:

Step-by-step explanation:

4y=3x+7

divide both sides by 4

y= 0.75x+1.75

or in fraction

y=3/4x+7/4

Answer:

v = 4

Step-by-step explanation:

u + at = v

a (-2) multiplied by t (3) = -6

-6 + u (10) = 4

Answer:

\(v=4\)

Step-by-step explanation:

\(v=u+at\)

Substitute u=10, a=-2 and t=3 in above equation

\(v=10-2(3)\)

\(v=4\)

Answer:

13.5

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

So add 9+10+11+12+13+14+15+16+17+18

=135

Then divide by 10 because there is 10 terms

=13.5

Answer:

yz

Step-by-step explanation:

........

........

answer is YZ

 \(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

 \(\bold{Solution~Steps:}\)

1.) Input \(a=4\), \(b=3\), and \(c=9\) into the equation.

2.) Calculate 4 to the power of 2.

3.) Multiply 2 and 3.

4.) Multiply 6 and 9.

5.) Subtract 54 from 16.

6.) Fraction \(\frac{-38}{7}\) can be rewritten as a decimal by dividing:

______________________________

 \(\bold{Answer:}\)

______________________________

 \(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}\)

Answer:

300

Step-by-step explanation:

120÷40=3

3×100=300

dividing 120 by 4 will get you 1% so then to find 100% you multiple by 100

Answer:

300

Step-by-step explanation:

The total number of desserts is x. we don't know what it is.

40% of all the desserts are cookies.

That is 40% of x.

We are told that 120 of the desserts are cookies.

That means that 40% of all desserts amount to 120.

40% of x = 120

0.4x = 120

Divide both sides by 0.4

0.4x/0.4 = 120/0.4

x = 300

Answer: In all there are 300 desserts.

Answer: x = 8.7

Step-by-step explanation:

You are given the reference angle: 60°, the hypotenuse and the leg of which to find.

X is opposite in reference to 60° and you are given the hypotenuse.

Sine works with the hypotenuse and the opposite: sin∅ = opp/hyp

sin(60°) = x/10

To figure out x, you must transpose, to make x the subject. X is being divided by 10, so to undo that you must multiply, and what you do to one side, you must do to the next to balance the equation.

10 x sin(60) = x/10 x 10

= X = sin(60) x 10

sin(60) = 0.866

X = 0.866 x 10

X = 8.66

You can round off to one decimal place or leave the answer as is.

X = 8.7 (1 d.p)

Answer:

64 hope it helps

Step-by-step explanation:

Answer:

D. 64 in.

Step-by-step explanation:

The weight of water in the aquarium can be calculated by determining the volume of water and multiplying it by the weight of a cubic foot of water.

The given dimensions of the aquarium are 36 inches (length) by 24 inches (width) by 16 inches (height). The water level is at 12 inches. To calculate the volume of water, we multiply the length, width, and height of the water-filled portion, which is 36 inches by 24 inches by 12 inches.

Converting the volume to cubic feet (since the weight is given in pounds per cubic foot), we divide the volume by 12^3 (since 12 inches make up a foot) to get the volume in cubic feet.

Finally, we multiply the volume in cubic feet by the weight of a cubic foot of water, which is 62.4 pounds, to find the total weight of water in the aquarium.

Learn more about Dimensions here :

brainly.com/question/31460047

#SPJ11

Answer: 5 gallons of gas in one-half of a minute.

Step-by-step explanation:

5/12 gallons of gas in 1/24 min

Notice that 1/2 min = 12/24 min (multiply numerator and denominator by 12)

Hence, 5/12 gallons of gas in 1/24 min

= (5/12) * 12 gallons of gas in (1/24) * 12 min

= 5 gallons of gas in 1/2 min.

Step-by-step explanation:

white : red

7 : 3

1 : 3/7

the answer is 3/7 of red paint cups

The complete factorization of the quadratic equation 6x² + 15x - 36 is given by:

\(y = 6\left(x - \frac{1}{4}\right)(x + 4)\)

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

Considering the roots \(x_1\) and \(x_2\), it can be factored as:

\(y = a(x - x_1)(x - x_2)\)

In this problem, the function is:

\(y = 6x^2 + 15x - 36\)

Hence the coefficients are \(a = 6, b = 15, c = -36\), and:

\(\Delta = b^2 - 4ac = 15^2 - 4(6)(-36) = 1089\)

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-15 + \sqrt{1089}}{12} = \frac{1}{4}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-15 - \sqrt{1089}}{12} = -4\)

Hence:

\(y = 6\left(x - \frac{1}{4}\right)(x + 4)\)

More can be learned about quadratic equations at https://brainly.com/question/24737967

Answer:

The answer you're looking for is 3(2x-3)(x+4)

The required solution is,(1/36) [3e3θ sin (4θ) - 8e3θ cos (4θ)] + C.

Given integral is,∫e3θ sin (4θ) dθLet u = 4θ then, du/dθ = 4 ⇒ dθ = (1/4) du

Substituting,∫e3θ sin (4θ) dθ = (1/4) ∫e3θ sin u du

On integrating by parts, we have:

u = sin u, dv = e3θ du ⇒ v = (1/3)e3θ

Therefore,∫e3θ sin (4θ) dθ = (1/4) [(1/3) e3θ sin (4θ) - (4/3) ∫e3θ cos (4θ) dθ]

Now, let's integrate by parts for the second integral. Let u = cos u, dv = e3θ du ⇒ v = (1/3)e3θ

Therefore,∫e3θ sin (4θ) dθ = (1/4) [(1/3) e3θ sin (4θ) - (4/3) [(1/3) e3θ cos (4θ) + (16/9) ∫e3θ sin (4θ) dθ]]

Let's solve for the integral of e3θ sin(4θ) dθ in terms of itself:

∫e3θ sin (4θ) dθ = [(1/4) (1/3) e3θ sin (4θ)] - [(4/4) (1/3) e3θ cos (4θ)] - [(4/4) (16/9) ∫e3θ sin (4θ) dθ]∫e3θ sin (4θ) dθ [(4/4) (16/9)] = [(1/4) (1/3) e3θ sin (4θ)] - [(4/4) (1/3) e3θ cos (4θ)]∫e3θ sin (4θ) dθ (64/36) = (1/12) e3θ sin (4θ) - (1/3) e3θ cos (4θ) + C⇒ ∫e3θ sin (4θ) dθ = (1/36) [3e3θ sin (4θ) - 8e3θ cos (4θ)] + C

To know more about integral:

https://brainly.com/question/31059545

#SPJ11

The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

Learn more about   value from

https://brainly.com/question/24078844

#SPJ11

Answer:

wjwjwjwjuwuwuwuueuejsnsjjdjejejenekjekekeikw

Answer:

do it yourself

Step-by-step explanation:

Stop cheating

Using sampling concepts, it is found that the correct option is given by:

B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:b

Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.