A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He believes that the mean is 12.6. Assume the variance is known to be 3.61. How large of a sample would be required in order to estimate the mean number of reproductions per hour at the 95% confidence level with an error of at most 0.19 reproductions

Answer:

c.) 2144.66

formula V= 4/3 x pi x r^3

Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

Answer:

2 yards

Step-by-step explanation:

10 divided by 5 is 2

Answer:

Step-by-step explanation:

Answer:

5 km

Step-by-step explanation:

the scans means that any distance on the map is 50000 times larger in real life.

so, 10 cm on the map is

10×50000 = 500000 cm in real life.

now, we know that 100cm = 1 m

so, it is 500000/100 = 5000 m in real life.

and there are 1000 m in 1 km.

so, it is 5000/1000 = 5 km in real life

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

As the given equation is (36)ˣ⁺²  = 6 , then the solution for the given equation is x ≈ -1.54.

The given equation in the question is (36)ˣ⁺²  = 6

according to the given equation , the goal is to solve the equation for x.

For solving this equation ,

we'll have to use logarithmic operations which is as follows:  

log36(6) = x+2.

We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.

Now, By subtracting 2 from both sides, we will get the value of x as:

x ≈ -1.54.

When we round off this value to the nearest 100th, we will get  -1.54.

Thus , the solution for the given equation is x ≈ -1.54.

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Answer:

3/4 I'm pretty sure that right

Answer:

25x+5y

Step-by-step explanation:

Answer:

700cm

Step-by-step explanation:

1 m=100 cm

7x100=700cm

Answer:

  {-15, -5}

Step-by-step explanation:

The constant on the left needs to be the square of half the x-coefficient:

  (20/2)^2 = 100

To get it to that value, we can add 18 to both sides of the equation:

  x^2 +20x +100 = 25 . . . add 18 to both sides of the equation

  (x +10)^2 = 25 . . . . . . .  . write the left side as a square

  x +10 = ±√25 = ±5 . . . . . take the square root

  x = -10 ±5 = {-15, -5}

The solutions are x = -15 and x = -5.

_____

The attached graph shows the solutions to ...

  x^2 +20x +82 -7 = 0 . . . . . the result of subtracting 7 from both sides

Answer:

sqdancefan

Genius

40.3K answers

503.3M people helped

Answer:

 {-15, -5}

Step-by-step explanation:

The constant on the left needs to be the square of half the x-coefficient:

 (20/2)^2 = 100

To get it to that value, we can add 18 to both sides of the equation:

 x^2 +20x +100 = 25 . . . add 18 to both sides of the equation

Step-by-step explanation:

Answer:

p=1

Step-by-step explanation:

5p=p+4

5p-p=4

4p=4

p=1

5p=5×1=5

p+4=1+4=5

p+16=1+16=17

17p=17×1=17

By using the figure below, the value of line segment PT is equal to 54 units.

In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).

Since T is the midpoint of PQ, we have the following:

Line segment PT = Line segment TQ

7x + 5 = 9x - 9

9x - 7x = 9 + 5

2x = 14

x = 14/2

x = 7.

Now, we can determine the value of PT:

PT = 7x + 5

PT = 7(7) + 5

PT = 54 units.

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Complete Question:

Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

On solving the provided question we can say that the sequence is 3,9,7,21,19,57,55,165, next is = 210

Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same. Arithmetic progression can be of two types: There are a finite number of terms in a finite geometric progression. The series' early, late, tolerance, and number of terms can be determined. Differential equations are frequently used in everyday life to compute the flow and motion of electricity, the back and forth motion of devices like pendulums, and to clarify thermodynamic principles.

here,

the sequence is

3,9,7,21,19,57,55,165,

next is = 210

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Answer:

1) (x-4 , y+8)

2) (3,13)

3) (x,y) -> (-x,y)

4) (-7,5) This after reflection of original triangle

5) Yes, reflections don't change size, only position

Step-by-step explanation:

Answer: i put this here so you can mark the other person brainlest

Step-by-step explanation:

Answer:

They are both 60 thats all I know im sorry.

Step-by-step explanation:

The answer is Option C - They both use same amount of paper!

Hey there! :)

Answer:

x = 1.117

Step-by-step explanation:

Graph the two equations:

p(x) = 5x² - 3

q(x) = 2x + 1

On the graph below, the positive point of intersection is at (1.117, 3.233).

Positive x-value = 1.117.

Answer:

1,716

Step-by-step explanation:

Given that

Number of vegetables = 3

Number of Fruits = 4

Number of Cheeses = 6

Number of whole grain breads = 8

Number of bought items = 15

Number of whole grain breads = 8

The calculation of number of ways if all 8 whole grain breads is shown below:-

Number of ways if all 8 whole grain breads =  \(^7C_7 \times ^1^3C_7\)

=  \(1\times\dfrac{13\times12\times11\times10\times9\times8\times7\times6!}{6!\times7\times6\times5\times4\times3\times2\times1}\)

= 1,716

y values: 3,4,5,6

x values: 5,10,15,20

Step-by-step explanation:

I used a graphing calculator but y is increasing by one and x increases by 5 each time

Answer:

See below.

Step-by-step explanation:

A's number is x. B's number is y.

x = 5y - 10

First row: What is x when y= 3?

                             x = 5y - 10 = 5*3 - 10 = 15 - 10 = 5; x = 5

Second row: What is x when y = 4?

                             x = 5y - 10 = 5*4 - 10 = 20 - 10 = 10; x = 10

Third row:      What is y when x = 15?

                             x = 5y - 10

  Add 10 both sides     x + 10 = 5y - 10 +10

                                      x + 10 = 5y

But we're told x = 15, so   15 + 10 = 5y

                                             25 = 5y

Divide both sides by 5         25/5 = 5y/5

                                                  5 = y                      y = 5

Fourth row: What is x when y = 6?

                                        x = 5y - 10 = 5*6 - 10 = 30 - 10 = 20; x = 20

Remaining two data of Theo's observation is 9 and 11.

Mean is the average of all data value. Range is the difference between the highest and lowest value of a data set. Median implies the middle value of a data set. If the number of data is even than median is calculated from average of two middle value. If the number of data is odd, then the median is the middle of all data.

given, Kendra and Theo both collected data of bird observation.

Kendra data's summary are as following.

range = 6

median = 7

mean = 7

From the Theo's data

range = 6

median = 7

mean = 7.5

the question shows 6 data among the total 8 data of Theo's observation.

5,5,6,6,8,10 are 6 data of total 8 data.

let, the missing value are X and Y.

we know mean of a data list is calculated by adding all the value and divided the sum by total amount of data.

mean = 7.5 = (X + Y + 5+ 5+ 6+ 6+ 8+10) / 8

             X + Y + 40 = 60

                               X+Y = 20

we know range is the difference between the highest and the lowest number of a data set.

let, the highest number is X and lowest number is assumed 5.

As range is 6, range = X - 5

                          X- 5 = 6

                     X = 11

 highest number of data set = 11

now we get the other missing data from the equation, X + Y = 20

                                                          Y = 20 -11

                                                     Y = 9

now, the data set can be arranged as

5,5,6,6, 8,9, 10,11

we notice that the two middle value is 6 and 8.

median = (6+8) / 2 = 7

that is equal to given median by Theo.

hence, the determination is verified.

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Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

10) 3-2i

Step-by-step explanation:

to find the conjugate, you just need to change one of the signs in the expression

Answer:

9/81

Step-by-step explanation:

Because 1/9 is all they have so they need to reduce usage by nine so divide by nine It probably wrong tho srry :(

Answer:

2/81

Step-by-step explanation:

it says that 1/9 gallon has to be used over 9 days, so you would divide 1/9 by 9, which is basically multiplying 1/9 and 1/9, because you flip the second fraction around when dividing. 1/9 x 1/9 is 2/81, and it is already in simplest form, therefore the answer is 2/81 of a gallon. hope this helped

Answer:

hope this helps

Step-by-step explanation:

.55×78=42.9

78+42.9

=120.9 round off 121

Answer: 120.9 I believe.

Step-by-step explanation:

55% of 78 is 42.9.

(55 x 78 over 100 = 42.9)

Therefore take 78 + 42.9.

120.9

Answer:

option c is correct....