Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. MechanicalElectricalBiomedicalMale9,6014,3576,318Female2,0391,1815,168 1. Find P("Electrical") 2. Find P("Male")3. Find P ("Electrical and Male")4. Find P ("Electrical" | "Male")5. Based on 1., 2. , 3., 4. are the events "Electrical" and "Male" independent? Why?Hint: Two events A and B are independent if and only if a) P (A and B ) = P(A)P(B) orb) P (A | B) = P (A)

Answer:

Step-by-step explanation:

waiting times follow a normal distribution with

Mean, \mu=38.12Mean,μ=38.12

Standard\ deviation,\sigma=8.63Standard deviation,σ=8.63

Longer waiting times are worse than shorter waiting times. Hence the worst 20% of wait times are wait times on the right tail of the distribution. The inferred level of confidence is 0.80.

The z value corresponding to the right tail probability of 0.2 is

Z=0.85Z=0.85

But

Z = \frac{x-\mu}{\sigma}Z=

σ

x−μ

​

x =Z*\sigma +\mux=Z∗σ+μ

=0.85 * 8.63 +38.12 =45.4555=0.85∗8.63+38.12=45.4555

answer:

the shortest wait time that would still be in the worst 20% of wait times is 45.4555 minutes

Answer:

The answer is the third option;60x

Answer:

3rd

Step-by-step explanation:

because of means multiply and minutes 60 so 60 ×x

9514 1404 393

Answer:

  5.  (d) 8

  6.  (c) 120°

Step-by-step explanation:

5. OC is a radius, just like BO is. The angle at B is a right angle, so the Pythagorean theorem can be used to find BO.

  AO² = BO² +BA²

  BO² = AO² -BA² = 17² -15² = 289 -225 = 64

  BO = CO = √64 = 8

__

6. The measure of arc IK is the same as the measure of the central angle. If we name the circle center X, then arc IK = ∠IXK = ∠HXL because those angles are vertical angles.

  arc IK = 120°

Answer:

I like lots of chips!

Step-by-step explanation:

Answer:

Inductive reasoning

Step-by-step explanation:

Inductive reasoning is when you make a false assumption based on previous knowledge you had before. The previous fact will often be referring to just a certain amount/set of things.

Deductive reasoning is when you have previous knowledge and you make a claim that is correct based on the knowledge before. The previous fact will often be referring to a whole set of things, not limited to a certain number.

The fact here is that Carrie's first three children were boys. This doesn't necessarily mean all of her upcoming children will be boys. So this is inductive reasoning.

Hope this helped!

Answer:

inductive

Step-by-step explanation:

Inductive

Answer: y=-4/3x

Step-by-step explanation: The above equation is in standard form because it is written as "y = mx + b," where m is the slope and b is the y-intercept. In this case, the slope is -4/3 and the y-intercept is 0.

Step-by-step explanation: First, we need to solve this inequality.

When you're asked to solve an inequality like -3x > 18, your goal should be the same as it was when solving equations, to get x by itself on one side.

In this problem since x is being multiplied by -3 on the left side of the inequality, to get x by itself, we divide both sides by -3 but here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this greater than in our original problem becomes less than in our second step.

On the left side, the -3's cancel and we're left with

x and on the right side, 18 divided by -3 is -6.

So we have x < -6.

Now, we are asked to state some solutions to the inequality.

The inequality x < -6 means that any number

less than -6 is a solution to the inequality.

For example, -7 is a solution because -7 is less than -6.

-8 is also a solution because -8 is less than -6.

Other possible solutions include -23, -98, -982, and so on.

Any number less than -6 will be a solution.

Answer:

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

The pedestal is the combination of two rectangular prisms.

One of them has dimensions:

Its volume is:

The other one has dimensions:

Its volume is:

Total volume is:

Answer:

112 in³

Step-by-step explanation:

The pedestal is made up of two rectangular prisms.

\(\boxed{\begin{minipage}{5.8 cm}\underline{Volume of a rectangular prism}\\\\$V=w\cdot l\cdot h$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width of the base. \\ \phantom{ww}$\bullet$ $l$ is the length of the base.\\\phantom{ww}$\bullet$ $h$ is the height of the prism.\\\end{minipage}}\)

The dimensions of the largest rectangular prism are:

Therefore, the volume of the largest rectangular prism is:

\(\begin{aligned}\implies V&=2 \cdot 9 \cdot 4\\&=18 \cdot 4\\&=72\;\rm in^3\end{aligned}\)

The dimensions of the smaller rectangular prism are:

Therefore, the volume of the smaller rectangular prism is:

\(\begin{aligned}\implies V&=2 \cdot 5 \cdot 4\\&=10\cdot 4\\&=40\;\rm in^3\end{aligned}\)

The volume of the pedestal is the sum of the volumes of the largest and smaller rectangular prisms:

\(\implies V=72+40=112\; \rm in^3\)

Therefore, the volume of the pedestal is 112 in³.

Answer:

y = 2x - 1

Step-by-step explanation:

Given equation:

y = 2(x + 1)

y = 2x + 2

slope = 2

y = mx + b

y = 2x + b

Point: (2/3, 1/3)

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

1/3 = 4/3 + b

b = -3/3

b = -1

y = 2x - 1

The equation that shows the Pythagorean identity is true for θ = 270° and is in the form sin²θ + cos²θ = 1 is option  B. 0² + (-1)² = 1

The Pythagorean identity is a fundamental trigonometric identity that relates the sine and cosine functions. It states that for any angle θ, the sum of the squares of the sine and cosine of that angle is equal to 1: sin²θ + cos²θ = 1.

We are given θ = 270° and we need to select the equation that satisfies the Pythagorean identity in the given form.

Let's evaluate each option:

A. 0² + 1² = 1

In this case, sin²θ = 0² = 0 and cos²θ = 1² = 1. Adding them together, we get 0 + 1 = 1, which satisfies the Pythagorean identity.

B. 0² + (−1)² = 1

Here, sin²θ = 0² = 0 and cos²θ = (−1)² = 1. Adding them, we have 0 + 1 = 1, which satisfies the Pythagorean identity.

C. (−1)² + 0² - 1

In this equation, sin²θ = (−1)² = 1 and co

s²θ = 0² = 0. However, the equation does not satisfy the Pythagorean identity because 1 + 0 - 1 ≠ 1.

D. 1² + 0² = 1

For this option, sin²θ = 1² = 1 and cos²θ = 0² = 0. Adding them together, we get 1 + 0 = 1, which satisfies the Pythagorean identity.

Based on our evaluation, options A and B both satisfy the Pythagorean identity for θ = 270°. Therefore, either A or B can be selected as the correct equation.The correct answer is  b.

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The Question was Incomplete, Find the full content below :

Which equation shows that the Pythagorean identity is true for θ = 270°?

Select the equation that is in the form sin²θ+ cos²θ = 1.

A. 0² + 1² = 1

B. 0² + (−1)² = 1

C. (-1)² + 0² - 1

D. 1² + 0² = 1

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:b and C

Step-by-step explanation:

Answer:

7x + 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(x + 2)

There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

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The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

Answer:

B

Step-by-step explanation:

Hello,

the green line include the number -6 so we already know that x ≤ -6

but the green line does not include -5 so x > -5

Finally the answer is x ≤ -6 or x > -5

Good luck

Answer:

R would become (-8,10)

S would become (-7,10)

T would become (-7,0)

U would become (-8,0)

Answer:

wow man how nice thanks

Step-by-step explanation:

woooooooooooooow ;)))

Answer:

angle 1=149°

angle 2=31°( because they are alternating angles)

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

Answer: 1.4 pi, and pi/180

Step-by-step explanation:

b)

this is a negative angle; It is also less than 0.5pi, (pi/2, which is the border of the first quadrant). therefore the reference angle is just the positive version:

so 1.4pi is the reference angle

c)

pi/180 is already in the first quadrant. so pi/180 would be the reference angle.

For the function  \(A(t)=4000e^0^.^0^4^t\) the value of A'(8) is $220 and the value of \(A'(t)=160e^0^.^0^4^t\)

The given function is \(A(t)=4000e^0^.^0^4^t\) gives the balance after t years.

The initial investment is 8000

4% is the compounded interest.

Now differentiate with respect to t

\(A'(t)=0.04(4000)e^0^.^0^4^t\)

\(A'(t)=160e^0^.^0^4^t\)

Now let us find the value of A'(8)

Plug in t as 8

\(A'(8)=160e^0^.^0^4^(^8^)\)

A'(8)=220.3

Hence, the value of A'(8) is $220 and the value of \(A'(t)=160e^0^.^0^4^t\)

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Answer:

1. B

2. C

3. B

Step-by-step explanation:

You're Welcome

Answer:

1 1/3

Step-by-step explanation:

Answer:

12/9= 1 and 1/3

Step-by-step explanation:

Answer:

Probability of owning one dog;

12/100 = 0.12

Probability of owning 2 dogs;

0.12 x 0.12 = 0.0144, but we make it a percent so:-

1.44%, there is a 1.44% probability that they both own a dog.

It is given that 2/5 of all patients admitted to ward 17.

Remining fraction is:

So 3/5 of patients admitted to ward 18.

Since 1/6 of all patients moved to another ward, and the reminder assigned as before, the initial fraction becomes:

Now, 3/5 of the new fraction, 5/6 is admitted to ward 18.

That is:

This is half of the patients.

The difference of the number of the patients admitted to ward 17 is the same fraction of the number of infected:

So the difference of patients is 4.

Answer:

12 km

Step-by-step explanation:

16km + 12 = 204

Subtract 12 from both sides:

⇒ 16km = 192

Divide both sides by 16:

⇒ km = 12

Answer: 434,524

Step-by-step explanation:

We know 36,500 is 8.4% of the total. To find 100%, we must divide 36500 by 8.4 to find 1% which is 4345.238...

To get from 1% to 100%, we must multiply our answer by 100 to get 434523.8 which we can then round to the nearest whole number 434524

Answer:

A. the reduction of variance

Step-by-step explanation:

If the p bakue gets smaller, the smaller the p- value the stronger the evidence that we can or we should totally reject and not accept the null hypothesis.

Id the p value is lower, the result is trumpeted as significant, but if higher,it is not significant.

So Smaller p-values indicate more evidence in support of the the reduction of variance

The researchers came up with this number by making a model with specific coins to determine the difficulty, in terms of the probability of getting this coin.

The researchers Shiyoung Lu and Steven Skiena wanted to know how probable it was to collect a complete set of pennies since 1959 until 1997. By the end of this study, they decided at least 684 coins must be collected to complete this mission.

Firstly, they analyze the probability for getting one coin. From this, it was concluded the probabillity was lower for old coins. After this, they used the data collected from all the coins and created an equation. This equation or model led them to conclude the answer was 684 coins.

Note: This question is incomplete because the text it refers to is missing; here is the name of the text:

"The Probabilities of Pennies"

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