find a value of c so that p(z ≤ c) = 0.62.
A. 1.31
B. 0.31
C. 0.81
D. -0.31
E. 0.69

Answer:

Step-by-step explanation:

The orthocenter of a triangle is the point of intersection of the lines containing its heights.

You find line like that leading line perpendicular to the side of the triangle and crossing the opposite vertex.

Point A is opposite to side BC so line perpendicular to BC that intersects point A is one of the lines needed to find orthocenter.

The number of almonds in each bag is 4.48 ounces

Total pounds of almonds bought by Corrine = 8.4

Total number of snack bags = 30

Determining the total number of almonds in each snack bag -

Total number of almonds x Ounces in a pound

= 8.4 x 16

= 134.4

Thus, there are 134.4 ounces of almonds

Calculating the amount of almonds each bag contains -

Total ounces of almonds / Total snack bags

= 134.4  / 30

= 4.48

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Given function f(x) is as follows;f(x) = (916x³)/3 - 4x² + 6x - 13To find out the value of x for which the given function has a tangent line of slope 5, we need to use the concept of derivative. Since, the slope of the tangent line to the curve at a point on it is the value of the derivative at that point.

So, first we need to take the derivative of f(x). Differentiating the given function, we get;f'(x) = 916x² - 8x + 6Now, we need to find the value of x for which the slope of the tangent is equal to 5.We can form an equation by equating f'(x) to 5;916x² - 8x + 6 = 5Or, 916x² - 8x + 1 = 0.

We can solve the quadratic equation for x using quadratic formula  Therefore, the value(s) of x for which f(x) has a tangent line of slope 5 is (52/1832) or (-58/1832).

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False.

For a square matrix A, the vectors in the column space of A (col(A)) are not necessarily orthogonal to the vectors in the null space of A (nul(A)). The column space consists of all possible linear combinations of the columns of A, while the null space consists of all vectors that satisfy the equation Ax = 0.

Orthogonality between col(A) and nul(A) would imply that any vector in col(A) is perpendicular to any vector in nul(A), which is generally not the case. There may exist some specific scenarios where col(A) and nul(A) have orthogonal vectors, but it is not a general property.

Therefore, the statement that vectors in the column space of a square matrix A are orthogonal to vectors in the null space of A is false.

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We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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No.1

Set those two equations equal to each other.

-7/4 x - 4 = -1/4 x + 2

x on one side, constant on other side.

-6/4 x = 6

x = -4

now put x value into any of the two equations given

y = -7/4 * -4 - 4 = 7 - 4 = 3

(-4,3)

No.2

Set those two equations equal to each other.

x + 2 = -1/5 x - 4

x on one side, constant on other side.

6/5 x = -6

x = -5

now put x value into any of the two equations given

y = -5 + 2 = -3

(-5,-3)

Answer: -1, 2 and 4

Step-by-step explanation:

Answer:

bro its 24

Step-by-step explanation:

The time it would take for Julian's money to double than for Brandon's money to double is  0.81 years.

The formula that can be used to determine the doubling time is

Number of years =  (In FV/PV) / r

(In 2/ 0.0475)  - (In 2/ 0.045) - (In 2/ 0.0475)  

= 14.59 - 15.40

= 0.81 years

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Answer:

Step-by-step explanation:

In this problem (word problem), we are examined on how to express equations from words.

let us initialize some variables

let the length of the first piece (the short piece) be x

and that of the second(the longer piece) be 5x

given that the total length is 96 cm

Also from the problem statement, the total length can be expressed as

5x+x= 96

6x= 96

divide both sides by 6 to solve for x

x= 96/6

x= 16

now the longer side = 5x

        the longer side= 5*6

       the longer side = 30 cm

The missing side of the rectangle is 21.

In a rectangle, opposite sides are congruent and parallel. Therefore, if we know the length and width of a rectangle, we can find the length of any missing side using the formula for the area or the perimeter of a rectangle.

In the given rectangle 8 8 3 12, the two sides are labeled 8 and 12, which represent the length and the width of the rectangle, respectively. To find the missing side, we can use the formula for the perimeter of a rectangle, which is:

Perimeter = 2 x (length + width)

Substituting the given values, we get:

Perimeter = 2 x (8 + 12)

Perimeter = 2 x 20

Perimeter = 40

Since we have the length and width of the rectangle, we can use the perimeter formula to solve for the missing side. We know that the perimeter is equal to the sum of all four sides of the rectangle, so we can write:

Perimeter = 8 + 8 + 3 + x

where x is the missing side.

Substituting the value of the perimeter (40) and simplifying, we get:

40 = 19 + x

x = 21

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Answer:

23

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Center = (-1/2 Coefficient of x, -1/2 Coefficient of y)

or, Center = {-1/2*(-18), -1/2*(-14)}

or, Center = (18/2, -14/2)

Ans: (9, 7)

Answer:

550 meters are covered

Step-by-step explanation:

Answer:

3000 meters per second

Step-by-step explanation:

!80 kilometers is equal to 1000 meters, so multiply 180 by 1000 and get 180,000 meters. Divide 180,000 by 60, since there are 60 seconds in a single minute, and you get the answer 3000, with the units being meters/second

The best estimate of the elk population, to the nearest whole number, is 250.

To estimate the elk population, we can use the mark-recapture method. This method assumes that the ratio of marked individuals to the total population is equal to the ratio of marked individuals recaptured to the total number of individuals captured in the second sample.

Let's denote the total elk population as "P" and the number of marked elk in the first sample as "M1". We also know the number of marked elk recaptured in the second sample, which is "M2", and the total number of elk counted in the second sample, which is "N2".

According to the mark-recapture method, we can set up the following equation:

M1 / P = M2 / N2

Plugging in the given values, we have:

30 / P = 18 / 150

To solve for P, we can cross-multiply and then divide:

30 * 150 = 18 * P

4500 = 18P

Dividing both sides by 18:

P = 4500 / 18

P ≈ 250

Therefore, the best estimate of the elk population, to the nearest whole number, is 250.

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To gather information about the elk population, scientists marked 30 elk. Later, they flew over the area and counted 150 elk, 18 of which were marked. To the nearest whole number, what is the best estimate of the elk population ??

The labor productivity of this manufacturing process in terms of dollars per labor hour is $73.47.

To find the labor productivity of this manufacturing process in terms of dollars per labor hour, we need to calculate the total revenue from the tuxedos and divide it by the total number of labor hours.

Total revenue from tuxedos = 96 tuxedos * $225 per tuxedo

                                               = $21,600

Total number of labor hours = 7 employees * 42 hours per employee

                                               = 294 labor hours

Labor productivity = Total revenue / Total number of labor hours

                               = $21,600 / 294 labor hours

                               = $73.47 per labor hour

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Answer:

part a. B=41

part b. the first option

Step-by-step explanation:

jdjdndhxhshxhhxhzhzhzhhshsxjjx

Answer:

I am pretty sure that is a plant cell

Step-by-step explanation:

Answer:

tgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Step-by-step explanation:

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Answer:

12.8, 12.09, 12, 12, 1/2, 2/5

Step-by-step explanation:

This is my answer if you mean greatest to smallest if you did not mean that tell me and I will re-write this.

Answer:

(-3, -4) please give brainlist! and also hope this helps you

Step-by-step explanation:

The probability that a defective component can be detected by only one inspector is 0.2112. the probability that all three defective components in a batch escape detection by both inspectors is 0.00178.

(a) To calculate the probability that a defective component will be detected by only one inspector, we can use the formula for conditional probability: P(detected by first inspector | not detected by second inspector) = P(detected by first inspector and not detected by second inspector) / P(not detected by second inspector).

The probability that a defective component will be detected by the first inspector and not detected by the second inspector can be calculated as follows: P(detected by first inspector and not detected by second inspector) = P(detected by first inspector) * P(not detected by second inspector | detected by first inspector) = 0.88 * (1 - 0.88) = 0.1056.

The probability that a defective component will not be detected by the second inspector is: P(not detected by second inspector) = 1 - P(detected by second inspector) = 1 - 0.88 = 0.12.

The probability that a defective component will be detected by exactly one of the two inspectors can be calculated as follows: P(detected by exactly one inspector) = P(detected by first inspector and not detected by second inspector) + P(detected by second inspector and not detected by first inspector) = 0.1056 + 0.1056 = 0.2112.

(b) To calculate the probability that all three defective components in a batch escape detection by both inspectors, we can use the formula for independent events: P(all three defective components escape detection) = P(first defective component escapes detection) * P(second defective component escapes detection) * P(third defective component escapes detection) = (1 - 0.88)^3 = 0.00178.

So the probability that all three defective components in a batch escape detection by both inspectors is 0.00178.

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Complete question : components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). the first inspector detects 88% of all defectives that are present, and the second inspector does likewise. at least one inspector does not detect a defect on 24% of all defective components. what is the probability that the following occur? (a) A defective component will be detected only by the first inspector? A defective component will be detected by exactly one of the two inspectors? (b) All three defective components in a batch escape detection by both inspectors (assuming inspections of different components are independent of one another)?

Answer:

3.-42

Step-by-step explanation:

3.

x+2=0,x=-2

f(-2)=(-2)³-3(-2)²+4(-2)-14=-8-12-8-14=-42

4.

x³-x²-22x+40

put x=2

2³-2²-22(2)+40

=8-4-44+40

=48-48

=0

x=2

so x-2 is one factor.

by synthetic division.

2 |  1  -1  -22   40

  |       2    2  -40

 _____________

     1   1   -20  | 0

x²+x-20=0

x²+5x-4x-20

=x(x+5)-4(x+5)

=(x+5)(x-4)

x³-x²-22x+40=(x+5)(x-2)(x-4)

the absolute extrema of the function on the closed interval [-3, 2] are: (a) Minimum: (-3, -40.5) (b) Maximum: (2, 2)

To find the absolute extrema of the function f(x) = x^3 - (3/2)x^2 on the closed interval [-3, 2], we need to evaluate the function at the critical points and endpoints of the interval.

1. Critical points:

To find the critical points, we take the derivative of the function and set it equal to zero:

f'(x) = 3x^2 - 3x = 0

Factoring out 3x:

3x(x - 1) = 0

This gives us two critical points: x = 0 and x = 1.

2. Endpoints:

The endpoints of the interval are -3 and 2. We need to evaluate the function at these points as well.

Now, we evaluate the function at the critical points and endpoints to find the corresponding y-values:

a) For x = -3:

f(-3) = (-3)^3 - (3/2)(-3)^2 = -27 - (3/2)(9) = -27 - 13.5 = -40.5

b) For x = 0 (critical point):

f(0) = 0^3 - (3/2)(0)^2 = 0

c) For x = 1 (critical point):

f(1) = (1)^3 - (3/2)(1)^2 = 1 - (3/2)(1) = 1 - 1.5 = -0.5

d) For x = 2:

f(2) = (2)^3 - (3/2)(2)^2 = 8 - (3/2)(4) = 8 - 6 = 2

Now, we compare the y-values to find the absolute extrema:

Minimum:

The minimum occurs at x = -3, where f(-3) = -40.5.

Maximum:

The maximum occurs at x = 2, where f(2) = 2.

Therefore, the absolute extrema of the function on the closed interval [-3, 2] are:

(a) Minimum: (-3, -40.5)

(b) Maximum: (2, 2)

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Hello.

First, "twice a number" means we multiply 2 times that number.

Let the number be s.

Now, the sum of 2 times s and 5 is 21.

The product of 2 and s can be written like so:

\(\sf{2s\)

Now, the sum of 2s and 5 is 21:

\(\sf{2s+5=21\)

Subtract 5 from both sides:

\(\sf{2s=21-5\)

\(\sf{2s=16}\)

Now, divide both sides by 2:

\(\Large\boxed{\sf{s=8}}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

x = 8

Step-by-step explanation:

Let the required number be x.

According to the given question,

=> 2x + 5 = 21

=> 2x = 21 - 5

=> 2x = 16

=> x = 16/2

=> x = 8

A ball thrown by a(n) person travels an average speed of 29 feet per second.

The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

The word "person" fills the blank in the sentence. This suggests that the sentence is referring to a human individual who throws the ball. By specifying that a person throws the ball, it provides context and clarifies who is responsible for the ball's movement. The sentence implies that the average speed of the ball is 29 feet per second when thrown by a person.

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Answer:

Step-by-step explanation:

To calculate your new income after an increase of 8.2%, you can use the following formula:

New income = Old income + (Percentage increase * Old income)

Plugging in the values given in the problem, we get:

New income = 420,600,000 + (8.2% * 420,600,000)

New income = 420,600,000 + (0.082 * 420,600,000)

New income = 420,600,000 + 34,524,120

New income = 455,124,120

Therefore, your new income after an increase of 8.2% would be 455,124,120.

The equation log(6x-6) = log(x+3) + log 7 has no solution.

Given equation is log(6x-6) = log(x+3) + log 7.

Using the log rule, we can simplify the equation as below:

log 7 (6x - 6) = log 7 (x + 3) × log 7

7log 7 (6x - 6) = log 7 (7(x + 3))

log 7 (6x - 6) = log 7 (7x + 21)

On both sides, we can cancel the log with the base of 7.

6x - 6 = 7x + 21x = -27

Now, we need to check the solution. For that, we need to verify whether the obtained value of x is in the domain of the original logarithmic expressions or not.

For the left-hand side log,

6x-6>0 => 6x > 6 => x > 1

For the right-hand side log,

x+3>0 => x > -3

Now, we need to verify that x = -27 lies in the above interval or not.

Since x = -27 is less than -3, it doesn't lie in the interval x > -3.

Hence, it is not the solution to the given equation.

So, the equation has no solution.

Hence, The equation log(6x-6) = log(x+3) + log 7 has no solution.

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Answer: Uncle Luke is at 50 years old

Step-by-step explanation: I went through trial and error first with simple t-charts.  In the first one, I simply implemented the piece of info that Luke was 5 times older than the nephew. But then, I realized that Luke would always be 5 years older than his nephew. Here was the info for that t-chart:

\(\left \{ {{N=1} \atop {L=5}} \right. \left \{ {{N=2} \atop {L=6}} \right. \left \{ {{N=3} \atop {L=7}} \right.\)

Next, I tried a chart starting with the nephew at 2 years of age, and got an age gap of 8. This helped me realize that I would have to start at 4 years of age in order to have an age gap of 16
\(\left \{ {{N=2} \atop {L=10}} \right.\)        |             \(\left \{ {{N=4} \atop {L=20}} \right. \left \{ {{N=5} \atop {L=21}} \right.\)  (remember there are 1 increments)

Next, I realized that N=4, L=20 was 40 years ago, so if now the nephew was 44, we can increment 16 to get 50
44+16=50