Segments CD, GH, and JK intersect at point A. Line AB bisects Line JK. Find the values of a and y

Answer:

Step-by-step explanation:

The first equation is the weights of the rabbit and the ferret together which is

r + f = 7.

The second equation puts the weight of the ferret in terms of the rabbit. If the ferret's weight is 2 pounds more than the rabbit, then

f = r + 2 (the word "is" means equals). Since we know what f is equal to, we will sub it into the first equation and solve for r:

r + (r + 2) = 7 and

2r + 2 = 7 and

2r = 5 so

r = 2.5 pounds.

A rabbit weights 2.5 pounds and the ferret weights 7 - 2.5 which is 4.5 pounds.

Answer:

More than

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

Answer:

ab = 1

Step-by-step explanation:

A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.

So the reciprocal of x would be x⁻¹ or ¹⁄ₓ

The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.

So we can write this into an equation and solve,

(See image)

Once we solve, we get the equation (ab-1)(a+b) = 0

We are given info that a+b≠0

So for the above equation to be true, ab-1 has to equal 0

For this to be true, the product ab must equal 1

Answer:

D. b = 128

Step-by-step explanation:

Find the diagram to the question attached.

From the diagram, line p is parallel to line q i.e p//q

You must understand that the angle at the opposite side of the transversal are equal i.e alternate angle.

From the diagram, <b = 118° (alternate angle)

Hence option D is correct

Answer:

D) o b = 128

Step-by-step explanation:

YW :)

Answer:

7739.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

sea level means negative so it have to be C -0.5 foot

problem solved

Answer: 0

Step-by-step explanation:

The common denominator is 6

-2/3 = -4/6

-4/6 + 4/6 = 0

Answer:

The average set of 2 gift cards will price at $140

Step-by-step explanation:

If there are 15 in the group, and there is a total of $1050, this means that the individual prices will be;

$1050/15 = $70

So each gift card in the group cost $70

So the price of 2 will be 2(70) = $140

Answer:

40

Step-by-step explanation:

110+30=140

but a full triangle should equal 180

so 180-140=40

140+40=180

brainlist if you can pls :>

Answer:

The additional wells for maximum amount of oil per day is 3 wells.

Step-by-step explanation:

Given;

initial number of wells, n = 6

total production, T = 1800

average production per well, = 1800/6 = 300 barrels per day

Let the additional well = y

total number of wells after optimization = 6 + y

new production per well = 300 - 25y

new total production = (6+y)(300-25y)

t = 1800 - 150y + 300y - 25y²

t = 1800 + 150y - 25y²

dt / dy = 150 -50y

for maximum value, dt/dy = 0

150 - 50y = 0

50y = 150

y = 150 / 50

y = 3

Therefore, the additional wells for maximum amount of oil per day is 3 wells.

33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.

Given that an oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day, and for each additional well that is drilled, the average production per well decreases by 25 barrels per day, to determine how many additional wells should be drilled to to obtain the maximum amount of oil per day, the following calculation must be performed:

Therefore, 33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.

Learn more in https://brainly.com/question/13581736

Answer:

3.9?

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

Answer:

a

[tex]P(4.00 <  X  <  5.00) =  0.58818  [/tex]  

b

[tex]P(X \ge 5.5) = 0.02564 [/tex]

c

[tex]P(X < 4 ) = 0.27652[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 4.35[/tex]

    The standard deviation is  [tex]\sigma =  0.59[/tex]

Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is between 4.00 and 5.00 mrem is mathematically represented as  

   [tex]P(4.00 <  X  <  5.00) =  P(\frac{ 4 - \mu }{\sigma} <  \frac{X - \mu}{\sigma} <  \frac{ 5 - \mu }{ \sigma}  )[/tex]

Here [tex]\frac{X - \mu}{\sigma}  = Z  (The \  standardized \  value \  of \  X )[/tex]

=> [tex]P(4.00 <  X  <  5.00) =  P(\frac{ 4 - 4.35 }{0.59} <  Z <  \frac{ 5 - 4.35 }{ 0.59}  )[/tex]

=> [tex]P(4.00 <  X  <  5.00) =  P(-0.59322 <  Z <  1.1017  )[/tex]

=> [tex]P(4.00 <  X  <  5.00) =  P( Z <  1.1017  ) - P(Z < -0.59322)  [/tex]

From the z -table the probability of  ( Z <  1.1017  ) and  (Z < -0.59322)   are

      [tex]P( Z <  1.1017  ) =0.8647[/tex]

and

      [tex]P( Z <  -0.59322 ) =0.27652[/tex]

So

=> [tex]P(4.00 <  X  <  5.00) =  0.8647 - 0.27652  [/tex]    

=>  [tex]P(4.00 <  X  <  5.00) =  0.58818  [/tex]    

Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is  At least 5.50 mrem is mathematically represented as

     [tex]P(X \ge 5.5) = 1- P(X < 5.5)[/tex]

Here

      [tex]P(X < 5.5) =  P(\frac{X - \mu }{\sigma}  <  \frac{5.5 - 4.35}{0.59}  )[/tex]

      [tex]P(X < 5.5) =  P(Z< 1.94915) [/tex]

From the z -table the probability of (Z< 1.94915) is  

     [tex]P(Z< 1.94915) = 0.97436[/tex]

So

       [tex]P(X \ge 5.5) = 1- 0.97436[/tex]

=>     [tex]P(X \ge 5.5) = 0.02564 [/tex]

Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is less than 4.00 mrem is mathematically represented as

    [tex]P(X < 4) =  P(\frac{X - \mu }{\sigma}  <  \frac{4 - 4.35}{0.59}  )[/tex]

      [tex]P(X < 4) =  P(Z< -0.59322) [/tex]

From the z -table the probability of (Z< 1.94915) is  

     [tex]P(Z< -0.59322) = 0.27652[/tex]

So

       [tex]P(X < 4 ) = 0.27652[/tex]

Answer:

a) σ  = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) =  -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ  = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score)  = ( 11,75 - 12 ) / 0,1612

z₁  = - 0,25/ 0,1612

z₁  = -1,55

From z table  P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table  P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 -  0,0606

P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Answer:

$23.69

Step-by-step explanation:

Multiply the price by the tax percent, then add the two numbers.

Answer:

The probability that the proportion of flops in a sample of 701 released films would differ from the population proportion by greater than 7% is 0.00001

Step-by-step explanation:

We are given;

Probability that the films released are flops = 9% = 0.09

Sample size = 701

Formula for standard deviation is;

σ = √(p(1 - p)/n)

σ = √(0.09(1 - 0.09)/701)

σ = √0.0001168331

σ = 0.0108

We want to find the probability that the proportion of flops in a sample of 701 released films would be greater than 7%.

Thus, it means x - μ = 7% = 0.07

Z-score formula here is;

z = (x - μ)/σ

z = 0.07/0.0108

z = 6.4815

From online p-value from z-score calculator attached using; z = 6.4815, Nominal significance level = 0.05, two tailed distribution, we have;

P-value = 0.00001

Answer:

Angle RQT and Angle RQO

Step-by-step explanation:

These angles share the common vertex of Q and the common side of RQ

Answer:

The first option.

Step-by-step explanation:

The way I always remember adjacent angles is they are kinda beside each other.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a i

[tex]P(X  < 185 ) =  0.3085 [/tex]

a ii

[tex]P(X  > 195 ) =  0.3085 [/tex]

a iii

[tex]P(185 < X <  195 ) = 0.3829  [/tex]

b

[tex]x =  208.8[/tex]

Step-by-step explanation:

From the question we are told that  

   The mean is  [tex]\mu =  190[/tex]

   The standard deviation is  [tex]\sigma  =  10[/tex]

Generally the probability is  less than 185  is mathematically represented as

      [tex]P(X  < 185 ) =  P(\frac{X - \mu }{\sigma } < \frac{185 - 190 }{10 }   )[/tex]

Generally [tex]\frac{X - \mu }{\sigma } = Z (The  \ standardized \  value  \  \ of  \  X)[/tex]

=>   [tex]P(X  < 185 ) =  P(Z< -0.5)[/tex]

From the z-table the p value  of  (Z< -0.5) is

    [tex]P(Z< -0.5) = 0.3085[/tex]

So

    [tex]P(X  < 185 ) =  0.3085 [/tex]

Generally the probability is  less than 185  is mathematically represented as

      [tex]P(X > 195 ) =  P(\frac{X - \mu }{\sigma } > \frac{195 - 190 }{10 }   )[/tex]

=>   [tex]P(X  >  195 ) =  P(Z > 0.5)[/tex]

From the z-table the p value  of  (Z > 0.5) is

    [tex]P(Z > 0.5) = 0.3085[/tex]

So

    [tex]P(X  > 195 ) =  0.3085 [/tex]

Generally the probability is  less than 185  is mathematically represented as

      [tex]P(185 < X <  195 ) =  P( \frac{185 - 190 }{10 } <  \frac{X - \mu }{\sigma } <  \frac{195 - 190 }{10 } )[/tex]

=>   [tex]P(185 < X <  195 ) =  P(-0.5 < Z > 0.5)[/tex]

=>   [tex]P(185 < X <  195 ) = P(Z  <  0.5 ) -  P(Z <  -0.5) [/tex]

From the z-table the p value  (Z <  0.5) and  (Z <  -0.5) is  

    [tex]P(Z < 0.5) =  0.6915 [/tex]

and  

   [tex]P(Z < - 0.5) = 0.3085[/tex]

So

=>   [tex]P(185 < X <  195 ) = 0.6915 -  0.3085 [/tex]

=>   [tex]P(185 < X <  195 ) = 0.3829  [/tex]

Generally the level of cholesterol the 97th percentile represents  is mathematically evaluated as

    [tex]P(X < x ) =  0.97[/tex]

=> [tex]P(X < x ) = P(\frac{X - \mu}{\sigma }  <  \frac{x - 190}{10 }  ) = 0.97[/tex]

=>   [tex]P(X < x ) = P(Z <  \frac{x - 190}{10 }  ) = 0.97[/tex]

From the z-table  the z-score for  0.97  is  

      [tex]z-score =  1.88[/tex]

=>

  [tex]\frac{x - 190}{10 } =  1.88[/tex]

=>[tex]x =  208.8[/tex]

Answer:25p+45<480

Step-by-step explanation:

Answer: 25p+45<480

Step-by-step explanation:

Answer:

i believe the answer is C

Step-by-step explanation:

i dont know its just what i would choose im not the smartests in math

Answer:

The owner's total profit is $120,000.

Step-by-step explanation:

Assume that:

X₁ = contract is assigned to firm 1

X₂ = contract is assigned to firm 2

The sample space for assigning the two contracts is:

S = {(I, I), (I, II), (I, III), (II, I), (II, II), (II, III), (III, I), (III, II) and (III, III)}

There are total of 9 possible combinations.

So, the probability of selecting any of the combination is, 1/9.

Compute the probability distribution of X₁ and X₂ as follows:

X₁      P (X₁)                      X₂        P (X₂)

0        4/9                        0           4/9

1         4/9                        1            4/9

2         1/9                        2           1/9

Compute the expected values of X₁ and X₂ as follows:

[tex]E(X_{1})=\sum X_{1}\cdot P(X_{1})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}[/tex]               [tex]E(X_{2})=\sum X_{2}\cdot P(X_{2})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}[/tex]

It is provided that each contract will yield a profit of $90,000.

Compute the owner's total profit as follows:

[tex]\text{Total Profit}=\text{Profit}\times [E(X_{1})+E(X_{2})][/tex]

                   [tex]=90000\times[\frac{2}{3}+\frac{2}{3}]\\\\=120000[/tex]

Thus, the owner's total profit is $120,000.

Answer:

(a)0.625s (b)1.569s

Step-by-step explanation:

it's Physics, not Math.

Details of the answer:

https://brainly.com/question/13741614

Answer:

With this algebraic representation of physics, we can also apply the mathmatical concept of quadratics to derive the components from this function. You can use the line of symmetry: x = -b/2a. To find the minimum or maximum height because of its association with the vertex. This function is in the standard quadratic form: ax^2 + bx + c where x is t. According to this instance, a being -16, b being 24, and c being 8. t = -b/2a → -24/-32 = 3/4 which also represents the maximum value because a is negative so it is opening downward.

To find the max height, substitute the value of x back into the equation f(3/4) = -16(3/4)^2 + 24(3/4) + 8 →

-9 + 18 + 8 = 17ft [maximum height]

We already solved for the time (x) in terms of t which is 3/4 sec [time of maximum height].

Answer:

There are 35 girls in the recycling club

Step-by-step explanation:

4 boys : 7 girls

20 boys : x girls

In order to get to 20, you have to multiply 4 by 5, so multiply 5 to 7 for the girls.

7(5) = 35

There are 35 girls

Answer:

Question 1: She had $352 in her wallet

Question 2: The percent of the trout were the tiger trout is 45%

Step-by-step explanation:

Question 1:

∵ Carmen spent $88 at the mall

∵  The money she spent was 25% of the total amount she had in her wallet

→ Assume that the amount she had in her wallet is $x

∴ 25% of x = 88

→ Change 25% to decimal by divide it by 100

∵ 25% = [tex]\frac{25}{100}[/tex] = 0.25

∴ 0.25 × x = 88

∴ 0.25x = 88

→ Divide both sides by 0.25 to find x

∴ [tex]\frac{0.25x}{0.25}=\frac{88}{0.25}[/tex]

∴ x = 352

∵ x represents the total amount she had in her wallet

∴ She had $352 in her wallet

Question 2:

∵ Kendrick caught 22 rainbow trout and 18 tiger trout while fishing

  last month

∴ The number of rainbow trout = 22

∴ The number of tiger trout = 18

→ To find the percent of tiger trout divide its number by the total number

   of trout, then multiply the result by 100%

∵ The total number of the trout = 22 + 18 = 40

∴ The percent of the tiger trout = [tex]\frac{18}{40}[/tex] × 100%

∴ The percent of the tiger trout = 45%

∴ The percent of the trout were the tiger trout is 45%

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

[tex]A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years[/tex]

First, let us calculate the decay constant (k)

[tex]75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036[/tex]

Next, let us calculate the half-life as follows:

[tex]\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years[/tex]

Therefore the half-life is between 600 and 700 years

Answer:

-5<2-h or 6h+5<71

-7<-h or 6h<66

7>h or h<11

h<7 or h<11

Step-by-step explanation:

The inequality that represents the solution of the given set -

- 5 < 2 - h  or   6h + 5 < 71  is h < 11.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given are the following inequalities -

- 5 < 2 - h     or       6h + 5 < 71

We will solve the given inequalities one by one -

Inequality - 1

- 5 < 2 - h

Subtract 2 from both sides -

- 7 < - h

Multiply by -1 on both sides -

h < 7

Inequality - 2

6h + 5 < 71

Subtract 5 from both sides -

6h < 66

Divide by 6 on both sides -

h < 11

Now, h can be either -

h < 11     or     h < 7

We can write it as a single inequality as -

h < 11         [this set of numbers will include all numbers less than 7]

Therefore, the inequality that represents the solution of the given set -

- 5 < 2 - h  or   6h + 5 < 71  is h < 11.

To solve more questions on Inequalities, visit the link below-

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Answer:

60.3738353925. Rounded, this is 60.4

Step-by-step explanation: If this is the wrong answer you may delete this.

Answer: 31

Step-by-step explanation: long division

Answer:

512

Step-by-step explanation:

8x8x8 is equals to 512