please answer 8,9,10 show work​

Answer:

\(P(z<\frac{a-\mu}{\sigma})=0.10\)

and we can set up the following equation

tex]z=-1.282<\frac{a-104.5}{23.62}\)

And if we solve for a we got

\(a=104.5 -1.282*23.62=74.22\)

And the best answer for this case would be:

b) $74.23

Step-by-step explanation:

Let X the random variable that represent the stocks price of a population, and for this case we know the distribution for X is given by:

\(X \sim N(104.5,23.62)\)  

Where \(\mu=104.5\) and \(\sigma=23.62\)

For this part we want to find a value a, such that we satisfy this condition:

\(P(X>a)=0.90\)   (a)

\(P(X<a)=0.10\)   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.282. On this case P(Z<-1.282)=0.10 and P(z>-1.282)=0.90

If we use condition (b) from previous we have this:

\(P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.10\)  

\(P(z<\frac{a-\mu}{\sigma})=0.10\)

and we can set up the following equation

tex]z=-1.282<\frac{a-104.5}{23.62}\)

And if we solve for a we got

\(a=104.5 -1.282*23.62=74.22\)

And the best answer for this case would be:

b) $74.23

Answer:

x = 11/2

Step-by-step explanation:

\( = > \frac{2}{3} x + \frac{1}{3} = 4 \)

\( = > \frac{2}{3} x = 4 - \frac{1}{3} \)

→Take the LCM

\( = > \frac{2}{3} x = \frac{12 - 1}{3} \)

\( = > \frac{2}{3} x = \frac{11}{3} \)

\( = > x = \frac{11 \times 3}{3 \times 2} \)

\( = > x = \frac{11}{2} \)

Answer:

x= -9

Step-by-step explanation:

7(x+2) = -49

7(x+2)/7 = -49/7

x+2 = -7

x+2-2 = -7-2

x = -9

Answer:

56 inches (rounded)

Step-by-step explanation:

to solve this problem use the pythagreon theorem (a^2 + b^2 = c^2)

a and b represent the measurements of the side lengths of the TV in this case

plug in 27 for a and 49 for b

27^2 + 49^2 = c^2

2401 + 729 = c^2

c = 55.946 or 56

56 inches (rounded) is the length of the diagonal of the television screen.

56 inches (rounded) is the length of the diagonal of the television screen.

to solve this problem use the pythagreon theorem (a^2 + b^2 = c^2)

a and b represent the measurements of the side lengths of the TV in this case

plug in 27 for a and 49 for b

27^2 + 49^2 = c^2

2401 + 729 = c^2

c = 55.946 or 56

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Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.

Answer:x= -1/2

Step-by-step explanation:

Answer: To find the probability that a person chosen at random has a median lifetime income between 1 to 2 standard deviations below the mean, we need to calculate the area under the normal distribution curve within that range.

First, let's define the variables:

μ = Mean lifetime income = $25800

σ = Standard deviation = $14000

We want to find the probability of having a median lifetime income between 1 to 2 standard deviations below the mean.

1 standard deviation below the mean would be μ - σ, and 2 standard deviations below the mean would be μ - 2σ.

μ - σ = $25800 - $14000 = $11800

μ - 2σ = $25800 - 2 * $14000 = $-2200

Next, we need to find the z-scores for these values. The z-score represents the number of standard deviations a given value is from the mean in a standard normal distribution.

For μ - σ:

z1 = (11800 - μ) / σ = (11800 - 25800) / 14000 ≈ -1.5714

For μ - 2σ:

z2 = (-2200 - μ) / σ = (-2200 - 25800) / 14000 ≈ -2.2857

Using a standard normal distribution table or a statistical software, we can find the corresponding probabilities associated with these z-scores.

The probability of having a median lifetime income between 1 to 2 standard deviations below the mean is the difference between the probabilities corresponding to z1 and z2.

P(1 to 2 standard deviations below the mean) = P(z1 < Z < z2)

You can refer to a standard normal distribution table or use statistical software (such as Excel, R, or Python) to calculate the probabilities. The exact values may vary depending on the specific table or software used.

Answer:

(9,4) and (12,5)

Step-by-step explanation:

x-3y=-3

Answer:

Rs. 18936.54

Step-by-step explanation:

Given data

Discount=15%

VAT= 13%

Amount paid= Rs.19,323

The amount of VAT

=13/100*19323

=0.13*19323

= Rs. 2511.99

The amount of discount

=15/100*19323

=0.15*19323

= Rs.2898.45

The marked price is

=19323+2511.99-2898.45

=21834.99-2898.45

=Rs. 18936.54

Answer:

Shaded region above a dashed boundary line

Step-by-step explanation:

> This is a greater than symbol. It has no "or equal to" underline under it, so it needs a dashed line for its graph. Because it is a greater than (as opposed to a less than< ) the shaded area will be above the dashed line.

Symbol-Line-Shade

< dashed, below

> dashed, above

<= solid, below

>= solid, above

Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

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Answer:

I think its 25. right?

Answer:

1+1=2 that's the real answer but sure I'll guess umm is it 35

Answer:

5.291 * 10^4

hhhhhhhhhhhhhhhhh

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

Answer:

The answer for this question is 71/28

The probability that a defective component will be detected only by the first inspector is 0.19

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

The probability that all three defective components in a batch escape detection by both inspectors is 0.

It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.

Therefore P(A)=P(B)=81%=0.81

At least one inspector does not detect a defect on 38% of all defective components.

Therefore, bar P(A∩B)=0.38

As we know:

bar P(A∩B)=1-P(A∩B)=0.38

P(A∩B)=1-0.38=0.62

A defective component will be detected only by the first inspector.

P(A∩barB)=P(A)-P(A∩B)

=0.81-0.62

P(A∩barB)=0.19

The probability that a defective component will be detected only by the first inspector is 0.19

Part (B) A defective component will be detected by exactly one of the two inspectors.

This can be written as: P(A∩barB)+P(barA∩B)

As we know:

P(barA∩B)=P(B)-P(A∩B) and P(A∩bar B)=P(A)-P(A∩B)

Substitute the respective values we get:

P(A∩ barB)+P(bar A∩B)=P(A)+P(B)-2P(A∩B)

=0.81+0.81-2(0.62)

=1.62-1.24

P(A∩ barB)+P(bar A∩B)=0.38

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

Part (C) All three defective components in a batch escape detection by both inspectors

This can be written as: P(bar A∪ bar B)-P(bar A∩B)-P(A∩ barB)

As we know bar P(A∩B)=P(bar A∪ bar B)=0.38

From part (B): P(bar A∩B)+P(A∩bar B)=0.38

This can be written as:

P(bar A∪ bar B)-P(bar A∩B)-P(A∩bar B)=0.38-0.38=0

The probability that all three defective components in a batch escape detection by both inspectors is 0

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Answer:

\(g(x) = 30\cdot x +40\); \(a \approx 1.898\), \(k = 40\).

Step-by-step explanation:

The resultant function is obtained by multiplying \(f(x)\) by a real number \(k\). That is:

\(g(x) = k \cdot f (x)\)

If \(k = 5\) and \(f(x) = 6\cdot x + 8\), then \(g(x)\) is:

\(g(x) = 5\cdot (6\cdot x + 8)\)

\(g(x) = 30\cdot x +40\)

Given that presence of the expression \(g(x) = 6^{a}\cdot x + k\), then:

\(6^{a} = 30\) and \(k = 40\)

The value of a is obtained by applying the definition of logarithms:

\(a = \log_{6}30\)

\(a \approx 1.898\)

Finally, the value of k is found by direct comparison:

\(k = 40\)

Answer: 1/5 and 8

Step-by-step explanation:

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

Plane 2 (48°)

Equate Equations 1 and 2 :

Taking the sin ratio to find distance :

Answer:

f(x) = ax + b,

Step-by-step explanation:

Am Not Really Sure About The Answer, So Pls Try And Cross Check It

Answer:

1,428 inches cubed

Step-by-step explanation:

This easy, to find a volume of a cube/rectangular prism you just do lengthxwidthxhight

12x7x17=1428

Answer:

I believe it would be $3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.

If this helps please mark as brainliest

Kira has $19, Boris has $75, and Deshuan has $25.

We will denote as follows:

From information, we can set up equations:

B = 3D (Boris has 3 times what Deshuan has)

D = K + 6 (Deshuan has $6 more than Kira)

K + B + D = 119 (The total amount of money they have is $119)

Substituting equation 2 into equation 1, we have:

B = 3(K + 6)

Substituting equations 1 and 2 into equation 3:

K + 3(K + 6) + (K + 6) = 119

K + 3K + 18 + K + 6 = 119

5K + 24 = 119

5K = 119 - 24

5K = 95

K = 95 / 5

K = 19

Using equation 2, we can find D:

D = K + 6

D = 19 + 6

D = 25

Using equation 1, we can find B:

B = 3D

B = 3 * 25

B = 75.

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The distance between points C and D is given as follows:

5 units.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates for this problem are given as follows:

(-4, -6) and (1, -6).

Hence the distance is given as follows:

\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)

D = 5 units.

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9514 1404 393

Answer:

  (d) No, the figures are different sizes

Step-by-step explanation:

Congruent figures have corresponding sides the same length. A'''B''' is not the same length as AB, so the figures cannot be congruent.

__

Congruence is sometimes shown by identifying rigid transformations that map one figure onto another. Rigid transformations preserve size. The sizes these figures are different, so rigid transformations cannot be used to map one figure to the other. The appropriate statement of this is choice D.

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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Answer:

Around 37.7

Step-by-step explanation:

The volume of a cone is (1/3)πr^2h or πr^2h/3

3.14 * 4^2 * 4/3 is around 37.7