find the value of x. PLEASE HELP!!!!

The answer is 8 - but I need to show my work.

Thanks so much

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:

Step-by-step explanation:

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

problem solved

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:

59

Step-by-step explanation:

Answer:

y=|x+3|+4

Step-by-step explanation:

3 units left is + 3

4 units up is + 4

The graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

To determine the function whose graph is the graph of y=|x| ​,

Translated is 3 units to the left and 4 units upward.

x+3 because adding 3 to the x coordinate would shift it over 3

y-4 because subtracting  4 to the y coordinate would shift it up 4

⇒ f(x) = ( x + 3, y - 4 )

⇒ y - 4 = |x+3|

⇒ y = |x+3| + 4

Therefore, the graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.

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Answer:

3.9?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

cause 2+2 is 4 and 2x2 is four and since u put - it take it away a then divide 0 by 2 u get 0

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.

Answer:

y = (3/2)x + 7

Step-by-step explanation:

(−4, 1) and (−2, 4)

slope m = rise/run = (4-1)/(-2-(-4)) = 3/2

Slope intercept form is y=mx+b

where m=slope, b = y-inercept

y = (3/2)x + b

Use one of the given points for (x,y) to find b

1 = (3/2)(-4) + b

1 = -6 + b

7 = b

y = (3/2)x + 7

Answer:

$23.69

Step-by-step explanation:

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

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:

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.

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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:

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:

Step-by-step explanation:

3p + 2p - p

= 3p + p

= 4p

(add the co-efficients)

Answer:

0.3264

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where

x is the raw score,

μ is the population mean,

σ is the population standard deviation.

(x-μ) = 3.6 mm

σ = √variance = √64 = 8mm

z = 3.6/8

z = 0.45

Using the Probability table

P(x<Z) = 0.67364

P(x>Z) = 1 - P(x<Z)

1 - 0.67364

= 0.32636

Approximately = 0.3264

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.

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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:

512

Step-by-step explanation:

8x8x8 is equals to 512

Answer: 31

Step-by-step explanation: long division

Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ

Answer:

Step-by-step explanation:

Select all of the object sets that could be modelled by perpendicular lines.

A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.

OPTIONS:

(A) APPLICABLE

Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.

(B) APPLICABLE

The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.

(C) NOT APPLICABLE

A tree and its shadow on the ground will only form a right-angled triangle

(D) NOT APPLICABLE

Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.  

Answer:

More than

Step-by-step explanation:

Answer:

More

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:

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:25p+45<480

Step-by-step explanation:

Answer: 25p+45<480

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

110+30=140

but a full triangle should equal 180

so 180-140=40

140+40=180

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Answer:

22.5 pounds of mashed potatoes are made from 15 pounds of potatoes.

Step-by-step explanation:

According to the statement, we notice that the amount of pounds of potatoes ([tex]x[/tex]) is directly proportional to the amount of mashed potatoes ([tex]y[/tex]). That is:

[tex]y\propto x[/tex]

[tex]y = k\cdot x[/tex] (Eq. 1)

Where [tex]k[/tex] is the proportionality constant, dimensionless.

Then we eliminate such constant by building this relationship:

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex]

[tex]y_{2} = \left(\frac{x_{2}}{x_{1}} \right)\cdot y_{1}[/tex] (Eq. 2)

If we know that [tex]x_{1} = 10[/tex], [tex]x_{2}=15[/tex], [tex]y_{1} = 15[/tex], then the amount of pounds of mashed potatoes is:

[tex]y_{2} = \left(\frac{15}{10} \right)\cdot (15)[/tex]

[tex]y_{2} = 22.5[/tex]

22.5 pounds of mashed potatoes are made from 15 pounds of potatoes.