what is the probability that the light bulb she purchases from this manufacturer will last less than or equal to 14,500 hours? use the z score formula and the portion of the standard normal table below to help answer the question.

Answer:

Top one is A, then false, then C

Step-by-step explanation:

Ez

There are three values in the interval [60,65) which satisfy the mentioned criteria.

The number of times, a data point occurs in the data set is called its frequency .

For eg - If I visit market twice a week, so my frequency of going to the market in a week is 2.

Now, here given 4 data column and data points in interval [60,65) means that 60 and less than 65 will included included but 65 not included in interval i.e. its an open interval at 65 and a closed interval at 60.

So, from the given data we can say that the values  (64.1, 60, 64.83) are lying in the interval [60,65).

So, the frequency is 3.

Therefore, there are three values in the interval [60,65) which satisfy the mentioned criteria.

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There are three values in the interval [60,65) that satisfy the mentioned criteria.

The number of times, a data point occurs in the data set is called its frequency.

For eg - If I visit the market twice a week, so my frequency of going to the market in a week is 2.

Now, here given 4 data columns and data points in the interval [60,65) means that 60 and less than 65 will be included but 65 is not included in the interval i.e. it's an open interval at 65 and a closed interval at 60.

So, from the given data we can say that the values  (64.1, 60, 64.83) are lying in the interval [60,65).

So, the frequency is 3.

Therefore, there are three values in the interval [60,65) that satisfy the mentioned criteria.

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The statement "TRUE" is the answer to the question "TRUE or FALSE: residuals measure the vertical distance between two observations of the response variable.

Residuals are the difference between the predicted value and the actual value. It's also referred to as the deviation. The error or deviation of an observation (sample) is computed with a residual in statistical analysis. The residual is the deviation of an observation (sample) from the prediction value or the mean value of a sample.In a linear regression, the residual is the vertical distance between the actual and predicted values.

The vertical distance between the actual and predicted values is used to compute the deviation (error) of the observation. Therefore, the statement "TRUE" is correct because residuals measure the vertical distance between two observations of the response variable.

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Answer:

d

Step-by-step explanation:

double check your answer

Answer:

  C.  Add a radical term to both sides and square both sides twice

Step-by-step explanation:

We suppose you want to solve ...

  \(\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}\)

__

We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.

The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.

Hey there!

Answer:

336.84%

3200 out of 950 is 336.84%

Solution:

3200 out of 950 is what %?

3200 out of 950 is P%

Equation: Y/X = P%

Solving our equation for P

P% = Y/X

P% = 3200/950

p = 3.3684

Convert decimal to percent:

P% = 3.3684 * 100 = 336.84%

well, if we take 3200 to be the 100%, what is 950 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875\)

main answer: yes quotient easy way

supporting answer:

Definition of Quotient

The number we obtain when we divide one number by another is the quotient.

body of the answer:

let us take an example to understand more detail

in 8/ 4 = 2; here, the division result is 2, so it is the quotient. The dividend is 8 and the divisor is 4.

final answer: hence finding quotient is easy

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Answer:

see explanation

Step-by-step explanation:

Since QR is a perpendicular bisector then Δ RST is isosceles

with 2 congruent legs , that is

RT = RS , substitute values

6x - 4 = 3x + 8 ( subtract 3x from both sides )

3x - 4 = 8 ( add 4 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Then RS = 3x + 8 = 3(4) + 8 = 12 + 8 = 20

so RT = RS = 20

Using Pythagoras' identity in right triangle QRT

QT² + QR² = RS²

QT² + 12² = 20²

QT² + 144 = 400 ( subtract 144 from both sides )

QT² = 256 ( take square root of both sides )

QT = \(\sqrt{256}\) = 16

In summary

RS = 12 is False ( RS = 20 )

x = 4 is True

x = 3 is False

QT = 16 is True

Answer:

| -2 1/5 - 4.35|

Step-by-step explanation:

Take the absolute value of the difference of the two number

| -2 1/5 - 4.35|

The general solution to the differential equation. y"-8y' +16y=t-7e4t is: y(t) = (c1 - (1/8))e^(4t) + (1/16)t + c2te^(4t).

To find the particular solution, we can use the method of undetermined coefficients. We assume a particular solution of the form: y_p(t) = At + Be^(4t)

Substituting this into the original differential equation, we can solve for the coefficients A and B.

y_p'' = 0

y_p' = A + 4Be^(4t)

Substituting these into the original equation:

0 - 8(A + 4Be^(4t)) + 16(At + Be^(4t)) = t - 7e^(4t)

Simplifying and equating the coefficients of like terms:

(16A - 8B)t + (-32A + 8B - 7)e^(4t) = t - 7e^(4t)

By comparing the coefficients, we get:

16A - 8B = 1

-32A + 8B - 7 = 0

Solving these equations, we find A = 1/16 and B = -1/8.

Thus, the particular solution is: y_p(t) = (1/16)t - (1/8)e^(4t)

The general solution is the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

     = (c1 + c2t)e^(4t) + (1/16)t - (1/8)e^(4t)

Simplifying further:

y(t) = (c1 - (1/8))e^(4t) + (1/16)t + c2te^(4t)

Therefore, the general solution to the given differential equation is: y(t) = (c1 - (1/8))e^(4t) + (1/16)t + c2te^(4t).

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Answer:

That is the solution

Step-by-step explanation:

157,00.102,4%=

..........

..........

160,768

The function G(x) = \(4x^2 - 28x + 49\) can be rewritten as G(x) = \(4(x - 3.5)^2 -\)196, where the vertex of the parabola is located at the point (3.5, -196).

To rewrite the quadratic function by completing the square, we follow these steps:

Step 1: Start with the given quadratic function:

\(G(x) = 4x^2 - 28x + 49\)

Step 2: Divide the coefficient of the x term by 2 and square the result:

(-28 / 2)^2 = (-14)^2 = 196

Step 3: Add and subtract the value obtained in Step 2 inside the parentheses:

G(x) = 4x^2 - 28x + 196 - 196 + 49

Step 4: Rearrange the terms and group the perfect square trinomial:

\(G(x) = (4x^2 - 28x + 196) - 196 + 49\)

Step 5: Factor the perfect square trinomial and simplify:

G(x) = 4(x^2 - 7x + 49) - 196 + 49

Step 6: Complete the square inside the parentheses:

G(x) = 4(x^2 - 7x + 49) - 147

Step 7: Rewrite the perfect square trinomial as a squared binomial:

\(G(x) = 4[(x - 3.5)^2 - 3.5^2] - 147\)

Step 8: Simplify the expression inside the square brackets:

G(x) = 4(x - 3.5)^2 - 49 - 147

Step 9: Combine like terms:

G(x) = 4(x - 3.5)^2 - 196

Therefore, the function G(x) = 4x^2 - 28x + 49 can be rewritten as G(x) = 4(x - 3.5)^2 - 196, where the vertex of the parabola is located at the point (3.5, -196). The completed square form allows us to easily identify key properties of the quadratic function, such as the vertex and the direction of the parabola.

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Answer:

1πcm

Step-by-step explanation:

do you have another question to ask pls if you have ask

Answer: 11/20

Step-by-step explanation:

55/100

= 11/20

common denominator of 55? wdym. like the bottom number 55?

To solve the exponential equation e^(2x) - 6 = (58^x) / 10, follow these steps:

Step 1: Add 6 to both sides of the equation.
e^(2x) = (58^x) / 10 + 6

Step 2: Rewrite the right side of the equation as a common base (e).
e^(2x) = e^(x * ln(58/10)) + 6

Step 3: Set the exponents equal to each other, as the bases are equal.
2x = x * ln(58/10)

Step 4: Solve for x.
x = 2x / ln(58/10)

Step 5: Calculate the decimal approximation of x rounded to two decimal places.
x ≈ 2.07

So, the exact expression for the solution of the exponential equation is x = 2x / ln(58/10), and the decimal approximation is x ≈ 2.07.

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Answer:

rational

Step-by-step explanation:

Any rational number can be expressed in the form

\(\frac{a}{b}\) ← where a and b are integers

Given

\(\sqrt{4}\) = - 2 or + 2

Since - 2 =  \(\frac{-2}{1}\) and 2 = \(\frac{2}{1}\) ← both in rational form, then

\(\sqrt{4}\) is rational

The completed table based on the given pattern is as follows: Shape 1: 4 matchsticks, Shape 2: 7 matchsticks, Shape 3: 10 matchsticks, Shape 4: 13 matchsticks, Shape 5: 24 matchsticks, Shape 6: 82 matchsticks.

To complete the table based on the given pattern, we need to identify the rule that determines the number of matchsticks for each shape.

Looking at the provided information, we can observe that the first four shapes follow a consistent rule, while the last two shapes seem to deviate from that rule.

For the first four shapes:

Shape 1: 4 matchsticks

Shape 2: 7 matchsticks (Shape 1 + 3 matchsticks)

Shape 3: 10 matchsticks (Shape 2 + 3 matchsticks)

Shape 4: 13 matchsticks (Shape 3 + 3 matchsticks)

Based on this pattern, it appears that each shape adds three additional matchsticks compared to the previous shape.

Now, let's analyze the last two shapes:

Shape 6: 43 matchsticks

Shape 7: 82 matchsticks

From Shape 4 to Shape 6, there is an increase of 3 matchsticks as expected.

However, from Shape 6 to Shape 7, there is an unexpected increase of 39 matchsticks.

Since the given information does not provide a clear pattern or rule for the last two shapes, we cannot accurately determine the number of matchsticks for those shapes.

Therefore, we can complete the table as follows:

Shape 1: 4 matchsticks

Shape 2: 7 matchsticks

Shape 3: 10 matchsticks

Shape 4: 13 matchsticks

Shape 5: (Unknown)

Shape 6: (Unknown).

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Answer:

70.888

Step-by-step explanation:

here's an easier way to solve this.

so basically, re arrange the whole equation.

       0.765

  +    2.123

______________

Add this up!

Then you'll end up with...

2.888

After you get 2.888

Add the whole number 68.

        68.000

+         2.888

______________

Finally you'll end up with...

70.888

It's just adding decimals !

hope this helps

sincerely

cristopherrobles

Answer: x=4y+24

b=b

How to:  Solve in terms of the arbitrary variable  y  .

Have a great day and stay safe ! So sorry if im wrong .

The number of numbers that Bill wrote (v-8) numbers.

How to form inequalities?

A mathematical phrase that states the order relationship between two integers or algebraic expressions as greater than, greater than or equal to, less than, or less than or equal to.

If Bill wrote all the natural numbers between 9 and v, then the number of numbers he wrote would be equal to the difference between v and 9 plus one (since he included both 9 and v).

v > 9

(where v is greater than 9 i.e., (v-9)+1. )

=(v-9) + 1

= v - 9 + 1

= v - 8

Therefore, the number of numbers he wrote would be (v - 8) numbers.

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In the given, the average life span for American women in 2000 was approximately 79.1 years.

The given equation for the average life span of American women from 1907 through 2007 is:

W(t) = 49.9 + 17.1 ln(t)

Here, t is measured in 20-year intervals, with t=1 corresponding to 1907.

To find the average life span for American women in a specific year, we need to first determine the corresponding value of t. For example, to find the average life span in 1950, we can use:

t = (1950 - 1907) / 20 + 1 = 3.22

Using this value of t in the equation, we get:

W(3.22) = 49.9 + 17.1 ln(3.22) ≈ 68.5 years

Therefore, the average life span for American women in 1950 was approximately 68.5 years.

Similarly, we can find the average life span for other years by using the corresponding values of t. For example, for the year 2000, we have:

t = (2000 - 1907) / 20 + 1 = 5.65

W(5.65) = 49.9 + 17.1 ln(5.65) ≈ 79.1 years

Therefore, the average life span for American women in 2000 was approximately 79.1 years.

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The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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Answer:

i came from da one dude with 4 questtions, uhm

$52 - $12 is $40

$40 divided by 7 is 5.71428571??

so i would say about $6.00 for each ornament

and easy, 12 divided by 2 is 6 so his heart is 6 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is my other ACC, just click the crown

The probability of a 6-card hand with three hearts and three spades is 0.001862, or 1/535

Probability is the mathematics of chance; it is the study of calculating the likelihood of certain outcomes in any given situation.

Here we have to find the probability of a particular 6-card hand consisting of three hearts and three spades is determined first by the fact that there are 13 hearts and 13 spades in a standard deck of 52 cards.

To calculate the probability of a 6-card hand consisting of three hearts and three spades, one must first consider that the order of the cards in a hand does not matter.

The total number of combinations of three hearts and three spades that can be drawn from a standard deck of cards is

=> 4,824.

This number can be calculated by an equation that uses the number of hearts, spades, and cards in a standard deck

=> (13 x 13 x 52).

Then the probability of a 6-card hand consisting of three hearts and three spades is calculated by dividing the number of combinations of three hearts and three spades

=>  (4,824) / (2,598,960).

This equation yields a probability of 0.001862, or a 1 in 535 chance of getting a 6-card hand with three hearts and three spades.

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Answer:

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

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

$11.31

Step-by-step explanation:

100-22 = 78

14.50 x .78 = 11.31

Answer:

Yes, it is proportional

Step-by-step explanation:

it's proportional because 2 x 4 = 8, 4 x 4= 16, 6 x 4 = 24 and 8 x 4 = 32

Answer:

A. Yes it is proportional

Step-by-step explanation:

answer by me

Answer:

772 hamburgers sold on monday

Step-by-step explanation:

add the problem

If the two angles measure 24° each, then the ray has correctly bisected the angle and the angle bisector has been successfully drawn.

A bisector is a line, line segment, or other shape that divides a larger object into two halves that are equal in size. For example, a line segment can bisect an angle to create two angles of equal measure. A line can bisect a triangle to create two triangles that are of equal area.

To draw an angle bisector of LMN, we first need to identify the vertex of the triangle. This would be the point M. From this point, we need to draw a ray that divides the angle into two equal parts.

To make sure that the angle is bisected correctly, we need to measure the angles created by the ray. To do this, we first need to draw a line from L to O and from N to O.

We then measure the angles created by the ray from M and the lines that were drawn.

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If the two angles measure 24° each, then the ray has correctly bisected the angle and the angle bisector has been successfully drawn which says that m∠LMN = 2(m∠NMO). Hence the correct option is D.

A bisector is a line, segment, or other shape that divides a large object into two equal halves. For example, a line segment can bisect an angle to create two equal angles. You can bisect a triangle with a straight line to create two triangles of equal area.

To draw the ∠LMN bisector, we first need to identify the vertices of the triangle. That will be point M. From this point, we need to draw a ray that divides the angle into two equal parts.

To ensure that the angle is correctly bisected, we need to measure the angle created by the ray. To do this, we first need to draw lines from L to E and from N to E.

Given,

m∠LMN = 48°

m∠LMO = 24°

m∠NMO = 24°

Since, m∠LMO = m∠NMO

Then,

m∠LMN = 2(m∠NMO)

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Answer:

it will equal 91.18181818181 oe 91 2/11

Step-by-step explanation:

I used a calculator. Good Luck!!