A point is chosen at random on AK.What is the probability that the pointwill be on CD? Don't forget to reduce.СDEFG H1KА B+-10-8-6-4 -2 02.4 6 8101[?]

Answer:

\( \big \: slope = - 3\)

Step-by-step explanation:

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

HERE,

\(slope = \frac{( - 6) - 3}{( - 1) - ( - 4)} \)

\( = \frac{ - 9}{3} \)

\( = - 3\)

Therefore,

\( \green{\boxed { \red{ \bold{slope \: = - 3}}}}\)

Answer:

Jack = 30

Lacy = 15

Step-by-step explanation:

Let the age of Lacy be " x ".

Jack Is 2 times as old as lacy,

Age of Jack = 2 * Age of Lacy

Therefore,

Age of Jack = 2x.

8 years from now,

the age of Jack = 2x + 8

the age of Lacy = x + 8

8 years from now the sum of their ages will be 61,

2x + 8 + x + 8 = 61

2x + x + 8 + 8 = 61

3x + 16 = 61

3x = 61 - 16

3x = 45

x = 45 / 3

x = 15

The age of Jack

= 2x

= 2 * 15

= 30 years old.

The age of Lacy

= x

= 15 years old.

Hence,

Now,

the age of Jack is 30 years old.

the age of Lacy is 15 years old.

For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.

A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.

Stock fund (S) Bond fund (B)

Expected Return 14% 7%

Standard Deviation 43% 37%

Risk-free returns , Rf = 5.3%

Correlation coefficient = 0.459

Covariance : 0.459 = COV(s,b)/0.43×0.37

Covariance = 0.073

Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)

= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)

Weight of S = 42.18%

Weight of B = 1 - 42.18 = 57.82%

Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%

= 5.90 + 4.05 = 9.95

Standard Deviation of the portfolio (SDp)

= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2

= 28.68

Reward to volatility = (Expected return - Rf) / SD of Portfolio

= (9.95- 5.3) / 28.68

=0.1621

Hence, the required volatility is 0.1621 or 16.21%.

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Answer:

b i just did it

Step-by-step explanation:

The number which is lesser than its square is 12/11

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

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Answer:

32 students

Step-by-step explanation:

24 divided by .75 is 32

Based on the information given, there'll be 32 students.

Let the total number of students be represented by x.

From the information, it was stated that 75% of the students are boys and that there are 24 boys. Therefore, the total number of students will be:

75% × x = 24

0.75x = 24

x = 24/0.75

x = 32

There are 32 students.

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value for c is 2±√52/6 after putting Rolle's theorem

What exactly is Rolle's theorem?

According to Rolle's theorem, "If a function f is defined in the closed interval [a, b] in such a way that it satisfies the following conditions:

If is continuous on [a, b],

ii) f is differentiable on (a, b),

iii) f (a) = f (b),

then there exists at least one value of x, let us assume this value to be c

Rolle's theorem can be stated mathematically as follows:

Let f: [a, b] R be continuous on [a, b] and differentiable on (a, b), such that f(a) = f(b), where a and b are real numbers. Then there is some c in (a, b) such that f'(c)=0

first put the value[-2.2]:

f(-2)= -8-4-(-8)+3

f(-2)= -4+3

f(-2)=-1

for f(2):

f(2)=8-4-8+3

f(2)=4-8+3

f(2)=-1

Hence therefore f(-2)=f(2):

f'(c)=-2

f(x)=x³-x²-4x+3

    =3x²-2x-4=0

ROLLE'S THEOREM:  = -b±√b²-4ac/2a

Here

a = 3

b =-2

c =-4

=2±√4-4×(3)(-4)/2×3

=2±√52/6

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if sum of any two angles 90 then they are called complementary

A +B =90 let the complement of A is B

4x+2 +B =90

B= 90-4x-2

B = 88-4x

complementary angle = B = 88-4x

♡Hope it helps♡

Answer:

Job A, less hours and only a difference of money in Job B is 6 dollars.

Step-by-step explanation:

Job A: I multiplied 40 x 12.75 = $510

Job B: Multiple 43 x 12.00 = $516

Job A: Work less, money difference to Job B is 6 dollars

Job B: Work longer, 6 dollar gain difference from job A

Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

Answer:

The answer is It is between 0 and 1

Step-by-step explanation:

If you solve the problem step by step as (-2^3)^-2<1 then it comes out as true so it would be less than 1 but more then 0.

Answer:

Sandy ran 6 1/2 laps around the school track

Step-by-step explanation:

Answer:

6 1/2 laps

Step-by-step explanation:

If each lap is half a mile, multiply the number of miles by two. 3*2=6. Then, 1/4 is 1/2 of 1/2. So you get 6 1/2. If you are looking for WHOLE miles only, the answer is 6.

By taking a quotient between correspondent side lengths, we will see that the scale factor of the dilation applied to the quadrilateral is S = 4.

The scale factor of the dilation is given by the quotient between the length of one of the sides of the dilated figure and the length of the correspondent side of the original figure.

Here the original figure is the smaller quadrilateral, and the dilated figure is the larger one

If we select the top side, the length on the dilated figure is 72 inches, and the length of that side on the original figure is 18 inches, then the scale factor of the dilation is given by:

S = 72in/18in = 4

The scale factor of the dilation is 4.

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Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Answer:

58

Step-by-step explanation:

i think the answer is 58 please give brainliest

Answer:

(a) 18.5ft

(b) 388.5 ft²

Step-by-step explanation:

(a)

She has 79ft of fence = the perimeter will be 79.

Perimeter of a rectangle = 2(length) +2(width)

79 = 2(21)+2(width)

2(width) = 79 - 42

width = 37/2

width = 18.5ft

(b)

Area of a rectangle = (length)(width) = (21)(18.5) = 388.5 ft²

The equation of the plane that passes through the line of intersection of the two planes and passes through the point (3,-1,2) is x - 2y + 7z - 17 = 0  .

The Plane we want to find passes through the line of intersection of the planes, so it is perpendicular to the normal vectors of both planes.

The Normal Vector of the plane 2x - 3y - z + 1 = 0 is (2, -3, -1), and

the normal vector of the plane 3x + 5y - 4z + 2 = 0 is (3, 5, -4).

The cross product of these two vectors gives a vector which is perpendicular to both of them, and

hence , it lies along the line of intersection of the two planes:

the cross product of (2, -3, -1) x (3, 5, -4) is  = (-7, -2, 1)  ;

The vector (-7, -2, 1) is the direction vector of the line of intersection.

Now to find the equation of the plane that passes through the point (3, -1, 2) and is perpendicular to this direction vector.

we let , equation of the plane be ax + by + cz + d = 0. We know that the point (3, -1, 2) lies on the plane, so we have:

⇒ a(3) + b(-1) + c(2) + d = 0  ;

⇒ 3a - b + 2c + d = 0  ;

We also know that the plane is perpendicular to the direction vector (-7, -2, 1), so we have:

⇒ a(-7) + b(-2) + c(1) = 0  ;

⇒ -7a - 2b + c = 0  ;

Let  say a = 1. Then we have :

⇒ a = 1

⇒ -7a - 2b + c = 0

⇒ 3a - b + 2c + d = 0

Substituting a = 1 into the first equation gives:

⇒ -7 - 2b + c = 0  ;

Solving for c in terms of b gives:

⇒ c = 2b + 7

Simplifying ,

we get ;

⇒ 3 - b + 2(2b + 7) + d = 0  ;

Solving for d in terms of b gives:   ⇒ d = -2b - 17  ;

Therefore, the equation of the plane is x - 2y + 7z - 17 = 0 .

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No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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Answer:

$5.86

Step-by-step explanation:

The total was $36.31

We were given the price of 1, which was $1.15

$36.31-$1.15 = $35.16 remaining

Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6

$35.16/6 = $5.86

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

The addition of negative fraction to a positve fraaction is simply subtraction of fractions with sign of result depend upon the sign of larger fraction.

Simplify the fraction.

Answer is 2/5.

Answer:

0.64

Step-by-step explanation:

here is the explanation

Answer:

C

Step-by-step explanation:

6

Answer:

C

Step-by-step explanation:

It gib the funny check mark

Answer:

<GHI = 135 degrees

Step-by-step explanation:

(3x + 12) + (x + 4) = 180

4x + 16 = 180

4x + 16 - 16 = 4x

180 - 16 = 164

4x = 164

4x / 4 = x

164 / 4 = 41

x = 41

3 * 41 + 12

3 * 41 = 123

123 + 12 = 135

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

Answer:

a) 5+(-1)

b) 5-1

c) 4 is the value