When you flip a biased coin the probability of getting a tail is 0.4.
How many times would you expect to get tails if you flip the coin 160 times

Answer:

b=2

Step-by-step explanation:

We fist of all open the brackets.

6(2b-4) =0

= 12b-24=0

Then we combine like terms

( whenever a sign crosses over an equal to sign it changes)

12b = 0+24

12b=24

Divide by co-efficient of b which is 12

12b = 24

12 12

b=2

Answer:

Step-by-step explanation:

\(\sf 6(2b-4)=0\)

Divide both sides by 6.

(Anything divide by zero will give you zero, and anything plus zero gives itself)

\(\sf 2b - 4=0\)

Add 4 to both sides.

\(\sf 2b = 4\)

Divide both sides by 2.

\(\sf \cfrac{2b}{2}=\cfrac{4}{2}\)

\(\sf b = 2\)

_____________________

Answer:

h(t) = -16t^2+125t

We need to find h(t) when t = 4 s:

h(4) = -16*4^2+125*4

h(4) = 244 ft

The height of the object after 4 seconds is 244 feet.

(a) The likelihood function for this sample is given by:

L(λ) = λ^2 * exp(-λ * (5 + 3 + x))

where x is the third observation, X₃, which is larger than 10.

(b) To find the MLE for λ, we take the derivative of the log-likelihood with respect to λ and set it equal to zero:

d/dλ ln(L(λ)) = 2/λ - (5 + 3 + x) = 0

Solving for λ, we find that the MLE for λ is λ = (2) / (5 + 3 + x).

Since x is greater than 10, the MLE for λ is positive and less than 2/(5 + 3 + 10) = 2/18

Therefore, the correct answer is as given above

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Answer:

Area = 192.5 ft.²

Step-by-step explanation:

By splitting the shape in 2, we can find the area much simpler.

Starting with the parallelogram (on the left), the area formula is A = b × h.

b (base) = 11 ft.

h (height) = 7 ft.

A (area) = (11 ft.)(7 ft.)

A = 77 ft.² (save this for later)

Then, the trapezoid's (on the right) area formula is A = [(a + b) ÷ 2] × h.

a (first base) = 8 ft.

b (second base) = (20 - 7) = 13 ft.

h (height) = 11 ft.

A = [(8 ft. + 13 ft.) ÷ 2] × 11 ft.

A = [(21 ft.) ÷ 2] × 11 ft.

A = (10.5 ft.) × 11 ft.

A = 115.5 ft.²

Now, bringing back the first area, we can add them together to find the total:

A = 77 ft.² + 115.5 ft.²

A = 192.5 ft.²

Hope this helps! I'd appreciate Brainliest but if not it's totally fine!

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Answer:

\(134.56\)

Step-by-step explanation:

Break 11.6 into addenda.

\((11 + 0.6)\)

Apply the binomial expansion method.

\((11 + 0.6)(11 + 0.6)\)

\(11 {}^{2} = 121\)

\(2(11)(0.6) = 13.2\)

\(0.6 {}^{2} = 0.36\)

Add them all up and you get.

\(134.56\)

Answer: The manager should sell the chair for $1740.

Step-by-step explanation:

45% of 1200       Solve this to find the amount increase

0.45 * 1200 =  540      Now add this amount to find the price.

$1200 + $540 = $1740

or  you could do it this way

100% + 45% =  145%

145% of 1200 =?

1.45 * 1200 = 1740

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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It takes them 12 hours to design a total of 7 logos if they both start working at the same time

This is the amount per unit time.

Since one graphic designer takes 3 hours to design a logo. Her less experienced colleague takes 4 hours to design a logo, we need to find the rate at which the work is done.

Now, since we require the time to desigh 7 logos, this time is T = number of logos/combined rate

= 7 logos ÷ 7/12 logo/hr

= 12 hr

So, it takes them 12 hours to design a total of 7 logos if they both start working at the same time

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Step-by-step explanation:

Given

\(h(t)=(139kt)^2-69t+80\)

For roots \(h(t)=0\)

\((139kt)^2-69t+80=0\\t=\dfrac{69\pm\sqrt{(-69)^2-4\times (139k)^2(80)}}{2\times 139}\\\)

\(t=\dfrac{69\pm\sqrt{4761-6182720k^2}}{278}\)

Larger root: \(t=\dfrac{69+\sqrt{4761-6182720k^2}}{278}\)

smaller root: \(t=\dfrac{69-\sqrt{4761-6182720k^2}}{278}\)

For exactly one root D=0

i.e. \(4761-6182720k^2=0\\\\k=\dfrac{69}{139\times 4\times 2\times \sqrt{5}}\\k=0.0277\)

Answer:

. A prime factor of x is a prime number that divides x correctly (so that the rest is equal to 0). 1386 = 2*3*3*7*11 in our situation. This result can be obtained by dividing the number (1386) by 2, 3, 5, 7, 11, and so on. You utilise the result you get every time you successfully divide it by a prime number (beginning with 2) and try to divide it using the same approach. When you can no longer divide a number by a prime number, you go on to the next prime number and try to divide it by that number. Finally, you multiply the prime numbers by which you were able to divide your number.

Step-by-step explanation:

Answer: We know the prime factorization of a number is the representation of a number in terms of multiples of its factors. Now to simplify the above factorization by applying the exponent rule to make the prime factorization simplest. So, the correct answer is “ $ \ 1386 = 2 \times {3^2} \times 7 \times 11 $ ”.

Step-by-step explanation:

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The expected number of pairs of people who are standing next to each other in line and in the same group is ( 2n ) ! / 2^n * n! .

Given :

stand by me [14 points] what is the expected number of pairs of people who are standing next to each other in line and in the same group .

we know that ,

Number of pairs is determined by using the concept combinations of binomial distribution .

= ( 2n ) ! / 2^n * n !

here we represent * has . for multiplication to reduce the complexity .

= ( 2n ) ! / 2^n . n!

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Answer:

Step-by-step explanation:

Graph crosses x-axis when y=0 (that is f(x)=0).

   \((x+3)(x+2)(x-1)=0 \text{ when:}\)

           \(x+3=0\text{ or }x+2=0\text{ or }x-1=0\)

           \(\text{So }x=-3,-2,1\)

SOLUTION:  Graph crosses x-axis at \(x=-3,-2,1\).

Answer:

b=4

Step-by-step explanation:

it works

Answer:

The first expression can be rewritten as

35 {b}^{2} = 5 \times 7 \times {b}^{2}35b

2

=5×7×b

2

The second expression is rewritten as

15 {b}^{3} = 3 \times 5 {b}^{3}15b

3

=3×5b

3

The third expression is

5b = 5 \times b5b=5×b

The greatest common factor is the product of the least powers of the common factors.

Answer:

5b

Step-by-step explanation:

35b^2 = 5b(7b)

15b^3 = 5b(3b^2

5b = 5b(1)

Answer:

It is False

Step-by-step explanation:

16>17 is not a true statement.

Answer:

d=99

Step-by-step explanation:

Answer:

x=5 and x=-5

Step-by-step explanation:

1. first you would subtract 6 from both sides to set the equation = to zero.  

2. The equation would then be x^2-25=0.

3. that is a difference of two squares polynomial. So when you factor it, it is (x+5)(x-5)=0

4. by the zero product property, the roots are 5 and -5.

Answer:

x²+y²+6x+2y = -8

Step-by-step explanation:

The given equation is:

(x+3)²+(y+1)²=2

We know that, (a+b)² = a²+b²+2ab

Using above property

x²+9+6x+y²+1+2y = 2

x²+y²+6x+2y+10 = 2

x²+y²+6x+2y = -8

Hence, this is the required solution.

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

\(dauda = x \\ his \: brother = y \\ x + y = 2 \: \: \: (i) \\ 5(3x + y) = 5 \: \: \: (ii) \\ 15x + 5y = 5\)

I don't really remember this very well, because it confusing me

Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

Answer:

(-4,-2)

Step-by-step explanation:

Answer: (-4,-4)

Step-by-step explanation: the y- coordinate stays the same you would have to move the x-coordinate only which would give you -4. Because you are adding 2 to -6.

Answer:

Step-by-step explanation:

The problem specifies that you may use a calculator. The formula, as reference, is:

You can use a regular calculator or an online spreadsheet to solve. In sheets, arrange your data and use the =PERCENTILE( ) function. In the parentheses, write the range of your data and the requested percentile as a decimal. So if I type the data (the ages of the signers for this example) in cells A:4 through A:23, I'd write =percentile(A7:A23,0.25).

So the answers:

25th percentile is 34.

80th percentile is 48.4.

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Step-by-step explanation:

40 increases to 56.

To find the percent increase:

Subtract the increased value from the original value.

Divide the difference by the original value.

Multiply the quotient by 100 to represent the percent.

Solve:

\(56 - 40 = 16\)

\(16 \div 40 = 0.4\)

\(0.4 \times 100 = 40\)

There's a 40% increase.