rewrite -4<x<-1 using absolute value sign​

Solution :

Let the probability laser works = p

The probability that the system works = [tex]$P(\text{all three component works}) = p^3 $[/tex]

                                                                                                                   = 0.99

Therefore, p = 0.9967

Now for the above probability critical z = -2.72

Hence, the mean life is equal to = [tex]10,000 + 2.72 \times 600[/tex]

                                                     = [tex]10,000+1632[/tex]

                                                     [tex]=11,632[/tex]

Given:

u varies directly with the square of p and inversely with d.

To find:

The equation for the given situation.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

If y is inversely proportional to x, then

[tex]y\propto \dfrac{1}{x}[/tex]

It is given that u varies directly with the square of p and inversely with d. So,

[tex]u\propto \dfrac{p^2}{d}[/tex]

It can be written as:

[tex]u=k\dfrac{p^2}{d}[/tex]

Where, k is the constant of proportionality.

Therefore, the required equation is [tex]u=\dfrac{kp^2}{d}[/tex].

Answer:

[tex]9+(-2)^{3} =9+[(-2)(-2)(-2)]=9+[4(-2)]=9+(-8)=9-8=1[/tex]

[tex]Hello[/tex] [tex]There![/tex]

[tex]AnimeVines[/tex] [tex]is[/tex] [tex]here![/tex]

This is quite simple, actually.

Here's a explanation.

[tex]9 + (-2)^{3}[/tex]

[tex]= 9 + - 8[/tex]

[tex]= 1[/tex]

[tex]HopeThisHelps!![/tex]

[tex]AnimeVines[/tex]

Answer:

Assuming you meant three jacks:

1 in 5525 or else 1/5525.

Step-by-step explanation:

You start with a full deck of 52 and 4 jacks. After each draw, you reduce both the jacks and total deck by one. Your first draw would be 4/52. The next would be 3/51. The final draw would be 2/50. You multiply each fraction together as you need all of them to happen, and that is your odds of drawing 3 jacks in a row without replacement.

Answer:

f^(-1)(x)=(x-4)^(1/3)+10

Step-by-step explanation:

So to find the inverse we need to first solve the equation y=(x-10)^3+4 for x.

Subtract 4 on both sides:

y-4=(x-10)^3

Cube root (or raise both sides to 1/3 power):

(y-4)^(1/3)=x-10

Add x on both sides:

(y-4)^(1/3)+10=x

Swap x and y:

(x-4)^(1/3)+10=y

Symmetric property of equality:

y=(x-4)^(1/3)+10

So f^(-1)(x)=(x-4)^(1/3)+10.

9514 1404 393

Answer:

  55 square units

Step-by-step explanation:

The area of a parallelogram is the product of base length and height:

  A = bh

  A = (11)(5) = 55 . . . area of the given parallelogram in square units

Answer:

X=1

f(x)=16^1

=16

X=2

f(x)=16^2

256

X=3

f(x)=16^3

=4096

X=4

f(x)=16^4

=65536

Here are four different ways to rewrite the function f(x) = 16^x, using a different base for each case:

Using base 2:

f(x) = (2^4)^x = 2^(4x)

Using base 3:

f(x) = (3^2)^x = 3^(2x)

Using base 10:

f(x) = (10^(log10(16)))^x = 10^(log10(16) * x)

Using base e (natural logarithm):

f(x) = (e^(ln(16)))^x = e^(ln(16) * x)

In these rewritten forms, the exponentiation of the base is expressed as a simpler expression.

This involves the new base, which helps to illustrate the relationship between the original function and the different bases used.

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The number of bacteria in a culture is increasing according to the law of exponential growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.

The overall percent increase after 4 hours is 21% if the number of bacteria in a colony increases by 10% every 2 hours option (G) is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The number of bacteria in a colony increases by 10% every 2 hours.

Let there be 100 bacteria in the starting

In the first 2 hours :

= (100×10%) + 100

= 10 + 100

= 110

Again after 2 hours:

= (110×10%) + 110

= 11 + 110

= 121

= (121 - 100)

= 21

Thus, the overall percent increase after 4 hours is 21% if the number of bacteria in a colony increases by 10% every 2 hours option (G) is correct.

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Answer:

[tex]Fair = 63.4\%[/tex]

[tex]Too\ Long = 29.7\%[/tex]

[tex]No\ Opinion =6.9\%[/tex]

Step-by-step explanation:

Given

[tex]Total=505[/tex] --- customers

[tex]Fair = 320[/tex]

[tex]Too\ Long = 150[/tex]

Required

Complete the table

To complete the table, we simply divide each value by the total number of customers.

So, we have:

[tex]Fair = 320[/tex]

[tex]Fair = \frac{320}{505}[/tex]

[tex]Fair = 0.634[/tex]

Express as percentage

[tex]Fair = 0.634*100\%[/tex]

[tex]Fair = 63.4\%[/tex]

[tex]Too\ Long = 150[/tex]

[tex]Too\ Long = \frac{150}{505}[/tex]

[tex]Too\ Long = 0.297[/tex]

Express as percentage

[tex]Too\ Long = 0.297*100\%[/tex]

[tex]Too\ Long = 29.7\%[/tex]

For the last set, the percentage is calculated using:

[tex]No\ Opinion + Fair + Too\ Long = 100\%[/tex]

So, we have:

[tex]No\ Opinion + 63.4\% + 29.7\% = 100\%[/tex]

[tex]No\ Opinion + 93.1\% = 100\%[/tex]

Collect like terms

[tex]No\ Opinion =- 93.1\% + 100\%[/tex]

[tex]No\ Opinion =6.9\%[/tex]

Step-by-step explanation:

you have to substitute the function g(x) where there's x in the function f(x)

gf(x)=2(x213)-4

if that's x two thirteen then you can multiply the 2 outside the brackets by it

giving you a final answer of

gf(x)=426x-4

hope it helps and sorry if am wrong

Answer:

5 grams = 500 centigrams = 5000 milligrams = 5000000 micrograms

Step-by-step explanation:

So the only correct answer in your choices is the third option, 5000 milligrams.

9514 1404 393

Answer:

  about 2.917%

Step-by-step explanation:

The simple interest formula can be used. Fill in the known values and solve for the unknown.

  I = Prt . . . . principal P invested at rate r for t years

  1400 = 8000(r)(6)

  r = 1400/48000 = 7/240 = 0.0291666...

Salma's interest rate was about 2.917% per year.

The least possible degree of polynomial is 2

Answer:

A

Step-by-step explanation:

all can divide by 4

12/4 = 3

16/4 = 4

Answer:

I think 40 - 60 Million Americans would wear contact lenses.

Answer:

use the area formula

Step-by-step explanation:

Answer:

rounded to the nearest tenth i think its 40

Answer:

A= 80

Step-by-step explanation:

I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.

If f(x) = 7/(1 + x), then

f (2) = 7/3

f '(x) = -7/(x + 1)²   ==>   f ' (2) = -7/9

f ''(x) = 14/(x + 1)³   ==>   f '' (2) = 14/27

f '''(x) = -42/(x + 1)⁴   ==>   f ''' (2) = -14/27

Then the Taylor series of f(x) about a = 2 is

7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³

= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³

Answer:

It is a right triangle

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

13.37 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos 27 = BC / 15

15 cos 27 = BC

13.36509 = BC

Rounding to the nearest hundredth

13.37 = BC

9514 1404 393

Answer:

Step-by-step explanation:

The inverse tangent of 1/4 is an irrational number, only expressible exactly as ...

  arctan(1/4)

This is a first-quadrant angle. There is a matching third-quadrant angle with the same tangent:

  arctan(1/4) -π

Answer:

about 21 percent

Step-by-step explanation:

Answer:

The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a sample of 500 adults, 345 had children.

This means that [tex]n = 500, \pi = \frac{345}{500} = 0.69[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.69 - 2.575\sqrt{\frac{0.69*0.31}{500}} = 0.6367[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.69 + 2.575\sqrt{\frac{0.69*0.31}{500}} = 0.7433[/tex]

The 99% confidence interval for the true population proportion of adults with children is (0.6367, 0.7433).

Step-by-step explanation:

First, we can see that the angles inside the polygon form a full circle, as it goes fully around. Therefore, the sum of the angles around the center of the circle (such as m < 7) is 360 degrees. Since it is a regular polygon, and the lines are going from the center to its corners, the 6 angles directly surrounding the center are equal.

Each angle is therefore 360/6 = 60 degrees, so m<7 is 60 degrees.

For m<8, we can see that a line bisects one of the 6 angles surrounding the center. Therefore, m<8 is 1/2 of the angle it bisects, which is equal to 360/6 = 60 degrees, and m<8 = 60/2 = 30 degrees

Finally, we can see that there are 6 sides of the polygon. For a polygon with n number of sides, the sum of its interior angles is equal to (n-2) * 180. Here, there are 6 sides, so the sum of this polygon's interior angles is (6-2) * 180 = 4 * 180 = 720. Because this is a regular polygon, each interior angle is the same, and because there are 6 of them, each one is 720/6 = 120 degrees. As shown in the picture, m < 9 is seemingly one-half of an interior angle, as it is bisected by a line from the center to a corner.

Therefore, m <9  = 120 /2 = 60 degrees

Answer:

B. causal relationships between two variables

Scatterplots show causal relationships between two variables. Option B is correct.

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,

Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.

Thus, Scatterplots show causal relationships between two variables. Option B is correct.

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