The human retina contains cells called rods
and cones that absorb light and change it
to electric signals sent to the brain. There
are approximately 120,000,000 rods and
6,000,000 cones in a retina. How is the
number of rods in a human retina written
using scientific notation?

Answer:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

Step-by-step explanation:

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Option A and E are the correct answer.

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).

This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.

Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.

This claim is supported by the confidence interval since the upper limit of the interval is less than 5.

Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.

Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.

This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.

Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.

This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.

Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.

This claim is supported by the confidence interval since the upper limit of the interval is less than 6.

Therefore,

The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.

Learn more about confidence intervals here:

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Answer:

1/5.

Step-by-step explanation:

20%

20/100

20/20 / 100/20

= 1/5

---

Hope this helps!

Answer:

20/100 or 1/5

Step-by-step explanation:

Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25

hope it helps! :3

Answer:

I'm thinking it's -1 / 2

Step-by-step explanation:

not sure how but

Answer:

-1/2

Step-by-step explanation:

Why? Because 1/2 is bigger than 3/4

Answer:

Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.

Step-by-step explanation:

Answer:

y = -4/5x - 4

Step-by-step explanation:

4x + 5y = -20

-4x            -4x

5y = -4x - 20

divide it all by 5

y = -4/5x - 4

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Step-by-step explanation:

7x+10x-50=69

17x=69+50

x=7

Answer:

28

Step-by-step explanation:

Answer:     5 is the y-intercept    and -16 is the slope

22 - 17 =   5

32 - 48 = -16

Step-by-step explanation:

Answer:

BC = 10

Step-by-step explanation:

Since this is an isosceles triangle

AC = BC

3x-5 = 2x

Subtract 3x from each side

3x-5-3x = 2x-3x

-5 = -x

Multiply each side by -1

5 =x

BC = 2x

     =2 *5

BC =10

Answer:

D.

Step-by-step explanation:

Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.

Answer:

y = 40

Step-by-step explanation:

For #7, we are told that y = 10 when x = 2

We are also told that 'y varies directly as x'. That means there is some constant number, k, so that

Formula -->  y = kx

Since y=10 and x= 2, we substitute those numbers into the formula.

We get 10 = k × 2.  

So k has to be 5, right?

k = 5

So what is y when x = 8?

Use the formula.

y=kx ---> That gives us y = k × 8. But we know k is 5.

                                 So y = 5 × 8 = 40

                                       y = 40

9514 1404 393

Answer:

  7. y = 5x; y = 40

  8. y = 1/3x; y = 8/3

Step-by-step explanation:

In the direct proportion equation y=kx, the value of k can be found as ...

  k = y/x . . . . . divide both sides by x to solve for k

__

7. k = 10/2 = 5

The equation is ...

  y = 5x

For x=8, the value of y is found using the equation:

  y = 5(8) = 40

__

8. Same deal, different numbers.

  k = 6/18 = 1/3

  y = 1/3x . . . . . the equation

  y = 8/3 . . . . . y for x=8

Answer:

x=2

Step-by-step explanation: you would have  to  move 10 to the other constant  and add and then move 12 to 16 by adding 12 to 16 then  divide the 2 number then BOMB

Answer:

C

Step-by-step explanation:

The following equation defines the population t years after 2010,

P = 45230(1 + 0.02[tex])^{t}[/tex].

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and sx is the time period.

Given:

The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.

The formula;

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

That means,

P = 45230(1 + 0.02[tex])^{t}[/tex]

Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]

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Answer:

6.28 x 10²

Step-by-step explanation:

first number must be greater than or equal to 1 and less than 10

if you move the decimal to the left you need to increase the power of ten by one for each move

if you move the decimal to the rightt you need to decrease the power of ten by one for each move

Answer:

w = 9

Step-by-step explanation:

1. Add 15 from both sides: 8w = 72

2. Divide my 8: w = 9

Answer:

the answer for this question is 9

Answer:

none of these

Step-by-step explanation:

the side lengths are are 2√5/5, 2, and 4.

sin(x) = opp/hyp

sin(x) = 2/2√5

Answer:

50 minus 27 is 23 so she has $23 more dollars left?

Step-by-step explanation:

Answer:

The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.

The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.

The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

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

350 citizens, 240 responded favorably:

This means that [tex]n = 350, \pi = \frac{240}{350} = 0.6857[/tex]

99% confidence level

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

[tex]M = 2.575\sqrt{\frac{0.6857*0.3143}{350}} = 0.0639[/tex]

The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

[tex]M = 1.96\sqrt{\frac{0.6857*0.3143}{350}} = 0.0486[/tex]

The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

[tex]M = 1.645\sqrt{\frac{0.6857*0.3143}{350}} = 0.0408[/tex]

The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.

Answer: 4.2

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7.59 \times 10^5}[/tex]

[tex]\mathsf{10^5}[/tex]

[tex]\mathsf{= 10(10)(10)(10)(10)}[/tex]

  [tex]\mathsf{10(10) = 100}[/tex]

[tex]\mathsf{= 100(100)(10)}[/tex]

[tex]\mathsf{100(100) = 10,000}[/tex]

[tex]\mathsf{= 10,000(100)}[/tex]

[tex]\mathsf{= 100,000}[/tex]

[tex]\mathsf{7.59(100,000)}[/tex]

[tex]\mathsf{= \bf 759,000}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \bf 759,000}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Step-by-step explanation:

Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:

X = 1.25Y

Y = 0.8Z

Z = Z

Z + Y + X = 6,100

Z + 0.8Z + (1.25 x 0.8Z) = 6,100

Z + 0.8Z + Z = 6,100

2.8Z = 6,100

Z = 6,100 / 2.8

Z = 2,178.57

Y = 0.8 x 2,178.57 = 1,742.85

X = 1,742.85 x 1.25 = 2,178.57

2,178.57 + 2,178.57 + 1,742.85 = X

6,099.99 = X

Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.

Answer:

y = -3/4x - 1

Step-by-step explanation:

it is

Answer:

Step-by-step explanation:

a) 1 degrees Celsius (the line matches with that number)

b) -2 degrees Celsius

c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)

d) -0.5 degrees Celsius

e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)

I hope this makes sense and you understand it :)

Answer:

D

Step-by-step explanation:

The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1

Answer:

∆ABC ≅ ∆EDF by the SAS Congruence Theorem.

Step-by-step explanation:

<A ≅ <E,

Side length AC ≅ Side length EF

Side length AB ≅ Side length ED,

Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.

Therefore, we would conclude that:

∆ABC ≅ ∆EDF by the SAS Congruence Theorem.

Answer:

An event can have a probability of 3/2  is not true

Step-by-step explanation:

The probability of an event happening is between 0 and 1 inclusive.

A probability of 1 means the event is certain to happen or 100%

You cannot have a probability greater than 1 so

An event can have a probability of 3/2 cannot happen

Answer:

6x + 17

Step-by-step explanation:

Combine like terms

9x - 3x = 6x

5 + 12 = 17

6x + 17

Answer:

n=45

Step-by-step explanation:

divide 27 by 3 and you get 1/5 of n. Then multiply the number you got (9) by 5 to get 1 whole. your answer is then 45

Answer:

one one one one one oneone one one one