convert 77 ft to yards

(a)  [tex]\frac{26}{51}[/tex]

(b)  [tex]\frac{26}{51}[/tex]

(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e

P = number of favourable outcomes / total number of possible outcomes

For drawing a first card which is black,

number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)

total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)

∴ Probability of drawing the first black card = 26 / 52 = 1 / 13

Since the second card is not a black card, it is a red card.

number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)

total number of possible outcomes = 51 (since a black card has been previously picked from the deck)

∴ Probability of drawing a second black card = 26 / 51

The probability that the second is not a black card is 26 / 51

(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,

It is given by;

P(B|A) = P(A and B) ÷ P(A)

In this case;

event B is drawing a second card which is not black

event A is drawing a first card which is black

This implies that;

P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]

P(A) = [tex]\frac{1}{13}[/tex]

Substitute these values in the equation for conditional probability as follows;

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]

P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]

P(B|A) = [tex]\frac{26}{51}[/tex]

Therefore the conditional probability is  [tex]\frac{26}{51}[/tex]

Answer:

(d)  [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:                                                                [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

( d ) 12x³ - 15x² + 2

Step-by-step explanation:

y = 3x⁴ - 5x³ + 2x - 1

[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]

y = 12x³ - 15x² + 2⁰

y = 12x³ - 15x² + 2 × 1

y = 12x³ - 15x² + 2

Hence, option ( d ) is the correct answer.

Answer:

Nobody knows its a mistery :'D

Answer:

Because lma/os

Step-by-step explanation:

5 ( x + 20 )

-----------------

1. Simplifly

2. Distribute

3.  5 ( x + 20 )

     5 x + 100

Answer:

8 hectáreas por día

Step-by-step explanation:

72 hectares en 9 días por eso divides 72 por 9 para encontrar la repusta es 8

¡Espero que esta te ayudar! :)

(y sí, hablo un poco de español porque he aprendido desde el primer grado)

Answer:

Rounded to the nearest hundredth, 234.506 becomes 234.51.

Answer:

1045 ft³ of water

Step-by-step explanation:

Given :

Length = 20 feets

Width = 9 1/2 feets

Height = 5 1/2 feets

The maximum of water the pool can hold is equivalent to the volume of the pool ;

Hence, Volume = Length * width * height

Volume = 20 * 9 1/2 * 5 1/2

Volume = 1045 ft³ of water

Answer:

s = 32

Step-by-step explanation:

s - 12 = 20

s (- 12 + 12) = 20 + 12

s = 32

Step-by-step explanation:

s-12=20

s=20+12

s=32

Hope it helps.

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  3

Step-by-step explanation:

For x > 0, the function f(x) is ...

  f(x) = 3x -4 . . . . . . . . for x > 0

Translating this down 1 unit makes it ...

  g(x) = f(x) -1 = 3x -5

The rate of change for any interval such that x > 0 in the whole interval is the coefficient of x: 3.

The rate of change on the interval is 3.

__

If you like, you can find the rate of change from ...

  m = (g(5) -g(2))/(5 -2) = (10 -1)/3 = 9/3 = 3

The rate of change is 3.

Answer:

Yes it is correct, the amount of flour is 1.5 times larger than eggs needed

Step-by-step explanation:

Answer:

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic = 3.96

Critical value = 1.67

Reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

Step-by-step explanation:

M= xbar1 = 191 ; M = xbar2 = 190 miles

n1 = 61 n2 = 61

s = 1.429 ; s2 = 1.355

Hypothesis :

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic :

(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]

(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]

1 ÷ √[(0.0334760) + (0.0300987)]

1 ÷ √0.0635747

1 ÷ 0.2521402

= 3.966

Degree of freedom :

df = n - 1

df = 61 - 1 = 60

Critical value :

Tcritical at 0.05%, df = 60

Tcritical = 1.67

Decision region:

Reject H0 if Tstatistic > Tcritical

Since ;

3.96 > 1.67 ; We reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

35 is the answer

have a wonderful day

Answer:

200.

Step-by-step explanation:

35% = 0.35 so

0.35x = 70

x = 70 / 0.35

= 200.

Answer:

200

Step-by-step explanation:

Let the number = x

35% of x = 70

35/100 * x = 70                      Multiply by 100

35x = 70 * 100

35x = 7000                           Divide by 35

x = 7000/35

x = 200

Answer:

The correct option is d: All real numbers.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that we can input in that function.

A general way to find the domain of a function is:

First, assume that the domain is the set of all real numbers.

Then, look at restrictions implied:

like in functions like:

f(x) = 4   if x > 3

Here the domain of the function is implied.

Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.

In this case, we have a quadratic function:

y = a*x^2 + b*x + c

Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )

Then we can conclude that the domain of this function is the set of all real numbers.

The correct option is d: All real numbers.

Solution :

Avrami relationship

[tex]$1-y=exp(-kt^n)$[/tex]

[tex]$\ln(1-y)=-kt^n$[/tex]

[tex]$-\ln(1-y)=kt^n$[/tex]

[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]

The fraction transformed is 0.2 at 12.6 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]

[tex]$-1.5 = \ln k + 2.533 n$[/tex]  .........(i)

The fraction transformed is 0.7 at 25.7 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]

[tex]$0.5 = \ln k + 3.24 n$[/tex]   ..............(ii)

Subtract (ii) from (i),

-2 = -0.71 n

n = 2.81

Therefore, from (i),

[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]

k = 0.000181

Now if the fraction transformed is 0.92, then

[tex]$kt^n=-\ln (1-y)$[/tex]

[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]

[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]

t = 29.8528 s

Answer:

50 yard South, 40 yard east 60 yard northwest

Answer: The test statistic for this hypothesis test =1.597

Step-by-step explanation:

When population standard deviation is unknown, we use t-test statistic:

[tex]t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]\overline{x}[/tex] = sample mean, [tex]\mu[/tex] = population mean , s= sample standard deviation, n = sample size.

As per given,

[tex]t=\dfrac{10.7-10}{\dfrac{3.1}{\sqrt{50}}}\\\\=1.59669273171\approx1.597[/tex]

Hence, the test statistic for this hypothesis test =1.597

Answer:

c

Step-by-step explanation:

Answer:

the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Step-by-step explanation:

The values are missing in the given information in the question.

To able to solve this question, we will make some assumptions.

Let's assume that:

The airplane heading into the wind travels 1800 miles in 3 hours.

While returning via the same distance, it travels 2 hours 30 minutes.

We are to determine the plane's airspeed as well as the wind speed.

First, let us say that the speed of the plane is p and the wind speed is q

during the time the plane is traveling for 1800 miles in 3 hrs.

Then, we can say

3p -3q = 1800 ----- (1)

However, in  2hours 30 minutes, we have 2.5 hours

So, when the plane is returning, we have the following equation:

2.5p + 2.5q = 1800 ---- (2)

So, to find p and q, we can use the elimination method.

Simply by multiplying equation (1) with 5 and equation (2) with 6

 (5)3p    -  (5)3q     = (5) 1800

 (6)2.5p  + (6)2.5q = (6) 1800            

  15p -  15q  = 9000

+

 15p + 15q   = 10800      

 30p -  0     = 19800      

30p = 19800

p = 19800/30

p = 660

Since p = 660, then from equation (1) we can obtain the value of q:

So; Using equation (1):

3p -3q = 1800

3(660) - 3q = 1800

1980 - 3q = 1800

-3q = 1800 - 1980

-3q = -180

q = 180/3

q = 60

Therefore, the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Answer:4.6

Step-by-step explanation:2.3-(-2.3) is the same thing as 2.3+2.3 which is 4.6

Answer:

4.6

Step-by-step explanation:

9514 1404 393

Answer:

  551.07 yd²

Step-by-step explanation:

For radius r and height h, the total surface area of the cylinder is given by ...

  SA = 2πr(r +h)

Here, the radius is 4.5 yards (half the diameter) and the height is 15 yards. That makes the surface area ...

  SA = 2(3.14)(4.5 yd)(4.5 +15 yd) = 551.07 yd²

Answer:

I'm sorry hindi ko po alam eh