Marco is interested in the number of penguins who live on a particular ice floe. He decides to take an aerial photo of
the floe and create a 20 by 20 grid on the photo. He randomly selects 3 cells and counts the number of penguins in
each. He then finds the mean number of penguins for those 3 cells. Marco repeats this process for a total of 50
samples and makes a dotplot of the 50 means. This graph is an approximation of
O stratified random sampling.
the distribution of sample data.
the distribution of the population.
the sampling distribution of means.
the sampling distribution of proportions,
M

Answer:

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Step-by-step explanation:

Formula for the simple interest is,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

Here, P = Principal amount

r = rate of interest  

t = Duration of investment

Let Phyllis invested amount (at 5.25% rate of interest) = $x

Therefore, Interest on this amount,

Interest = [tex]\frac{5.25\times x}{100}[/tex]

             = $0.0525x

If he invested the rest amount $(13000 - x) at the rate of 5%,

Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]

                                                    = $(650 - 0.05x)

Interest earned on total amount = $672

Therefore, $0.0525x + $(650 - 0.05x) = $672.5

0.0025x + 650 = 672.5

0.0025x = 22.5

x = $9000

Rest amount = 13000 - 9000

                     = $4000

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Answer: I got 14, 9, 0, then 14. but you might want to wait on someone to double check that

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: (16,-12)

Step-by-step explanation: just cuz... just listen linda

Answer:

(16,-12)

Step-by-step explanation:

I used a graph to get this answer

Answer:

$24

Step-by-step explanation:

96 divided by 4

Each ticket cost 24 dollars

Answer:

$24 for each concert ticket.

Step-by-step explanation:

If you want more like this^^^^^^^

Answer:

A

Answer:

12

Step-by-step explan

Answer:

12

subsitute 3 for p and multiply :)

3 x 4 = 12

Answer:

your answer should be. 9+20=29

Answer:

Use you calculator.

Step-by-step explanation:

There will be a way on your calculator to do tan^-1. It may be called arctan. They are the same thing.

Answer:

1,000

Step-by-step explanation:

Answer:

The answer is 1000

30 because the max amount of plants is 30. so you would need 2 more on tomato nd 12 more on pepper

Answer:

P = 5 s m + 5 s m + 7 s m + 7 s m

P = 2 4 s m

Answer:

the last one (-14)+(-8)

Step-by-step explanation:

-14 - -8 any time you have minus a negative it's a + sign

so

-14+8 therefore it's the first one.

Answer: 5

Step-by-step explanation:

Answer:

a) The maximum height that the ball reaches is 73.1 meter

b ) The time elapsed when the ball reaches its maximum height of flight = 2.2 seconds

Step-by-step explanation:

The complete question is

During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?

Solution:

For maximum height

[tex]\frac{dh}{dt} =0[/tex]

[tex]\frac{d(5t^2 + 22t + 0.5)}{dt}\\ 10t + 22 = 0\\t = 2.2[/tex]seconds

a) Maximum height

[tex]5 * t^2 + 22t + 0.5[/tex]

[tex]= 5 * 2.2 *2.2 + 22 * 2.2 + 0.5 \\= 73.1[/tex]

b) Time elapsed when the ball reaches maximum height is 2.2 seconds

(9.95x2)+14.95)=34.85

34.85x.06=2.09

34.85+2.09=36.94

so the total cost is 36.94$

78

Step-by-step explanation:

Answer:

y=5/4x-8

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

General Point Slope Form is:

[tex]y-y_1=m(x-x_1)\\\\\rightarrow \text{m - slope}\\\\\rightarrow (x_1,y_1)\text{ - given point}[/tex]

We are given the slope of (5/4) and the point of (8, -2).

Replace the variables with their appropriate values:

[tex]x_1 \rightarrow8\\\\y_1\rightarrow-2\\\\m\rightarrow\frac{5}{4}\\\\\text{Replace } x_1, y_1, \text{and } m \text{ with the appropriate values.}\\\\y-y_1=m(x-x_1)\rightarrow y-(-2)=\frac{5}{4}(x-8)\\\\\text{Simplify:}\\\\y-(-2)=\frac{5}{4}(x-8)\rightarrow y+2=\frac{5}{4}(x-8)\\\\\\\text{Our final answer is:}\\\\ \huge\boxed{y+2=\frac{5}{4}(x-8)}[/tex]

Hope this helps.

Answer:

99x-65=30

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

this is a y = mx + b equation

the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.

the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.

in other words:

y1-y2

———

x1-x2

another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.

Answer:

2 and 3/8

Step-by-step explanation:

4/6 = 6/8 so 5/8 + 6/8 = 2 and 3/8

This is a linear relationship.

Linear relationship is a statistical term used to describe a straight-line relationship between two variables. These two equations are written in the typical slope-intercept form of y = mx + c, this function creates a straight line when plotted.

Answer:

k=1    k= -1

Step-by-step explanation:

hello :

here is an solution

Answer:

i say yes

Step-by-step explanation:

this is because it will give you the point to start with and the slope so you will already have all the information to graph

Answer:

9

hope it's helpful ❤❤❤❤

THANK YOU

#

Answer:

Step-by-step explanation:

Step-by-step explanation:

When dealing with graphs, involving points in between numbers, we have to carefully look at the x and y axis.

On the graph, the y-axis is going by 2s: 0, 2, 4, 6, 8, 10

On the x-axis, it's going by 1s: 0, 1, 2, 3, 4, 5, 6

Between 2 and 4 is 3

Between 4 and 6 is 5

Between 6 and 8 is 7

Between 8 and 10 is 9

Between 2 and 3 is 2.5

Between 3 and 4 is 3.5

Between 4 and 5 is 4.5

Between 5 and 6 is 5.5

Between 6 and 7 is 6.5

Between 7 and 8 is 8.5

Between 8 and 9 is 8.5

Between 9 and 10 is 9.5

Between 10 and 11 is 10.5

You get to see the pattern going on here...

On point E, we can see that the x-axis is 2.

Now on the y-axis, it is between 6 and 7. But if you look closely, you'll see that it's not on the line, that indicates 6.5.

So we find the median...

6, 6.1, 6.2, 6.3, 6.4, 6.5    6.2 and 6.3 are on the medium

           [tex]\frac{6.2 + 6.3}{2}[/tex] = 6.25    Answer on E: (2, 6.25)

On point F, we can see that the x-axis is 3.

On the y-axis, it is between 8 and 10, which would be 9, BUT, look closely that it's also between 9 and 9.5.

The answer would be 9.5, but it is SLIGHTLY below 9.5, so I think it's 9.4

Answer on F: (3, 9.4)

On point G, the x-axis is between 3 and 4, so it's 3.5.

On the y-axis, we know it's going by 2s. We can see that G is between 10 and 12, so it would be 11. Because it is on that thin line, as you can see.

Answer on G: (3.5, 11)

Answer:

2 and 2/3 is the simplest form

Step-by-step explanation:

2 and 2/3 is the simplest form. Other forms are listed below.

A mixed number is an addition of its whole and fractional parts.

Addition 2 + 2/3

Improper Fraction: 8/3

Decimal Form: 2.(6 recurring)

Mixed Number Form: 2 and 2/3