Please help and explain why

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 48 and the common rati

alexdok [17]

I think the letter is b but i am not sure

7 0

3 years ago

Read 2 more answers

The price of peaches at Al’s supermarket can be determined by the equation p=0.28n, where P is the price and n is the number of

Alina [70]

Answer:

k = 0.28

Step-by-step explanation:

The price of peaches at Al's supermarket can be determined by the equation P = 0.28n ........... (1)

where P is the price and n is the number of pounds of peaches.

Now, it is clear that the price of peaches is proportional to the number of pounds of peaches.

So, we can write,

P ∝ n

⇒ P = kn ............. (2) where k is the constant which we have to multiply to covert from proportionality to equation form.

Now, comparing equations (1) and (2) we get k = 0.28 which is the value of the constant of proportionality. (Answer)

8 0

3 years ago

Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the

Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

$\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3$

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}$

Now, we calculate the sum

$\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\$

Therefore, we get

$\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98$

So, the sample standard deviation is 6.98.

3 0

3 years ago

Find the distance between the origin and (8,15)

stellarik [79]

The distance between the origin and (8,15) is 17

Step-by-step explanation:

We need to find the distance between the origin and (8,15)

We know that x and y coordinates at origin are (0,0)

The formula used to find distance is:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$x_1=0, y_1=0, x_2=8,y_2=15$

Putting values and finding distance:

$Distance=\sqrt{(8-0)^2+(15-0)^2}$

$Distance=\sqrt{(8)^2+(15)^2}$

$Distance=\sqrt{64+225}$

$Distance=\sqrt{289}$

$Distance=17$

So, The distance between the origin and (8,15) is 17

Keywords: Distance between points

Learn more about Distance between points at:

#learnwithBrainly

8 0

4 years ago

Is Mabel correct?

Deffense [45]

Let's solve your equation step-by-step.
(
4
x
−
3
)
(
(
x
−
2
)
2
)
=
4
x
3
−
19
x
2
+
4
x
−
12
4
x
3
−
19
x
2
+
28
x
−
12
=
4
x
3
−
19
x
2
+
4
x
−
12
Step 1: Subtract 4x^3 from both sides.
4
x
3
−
19
x
2
+
28
x
−
12
−
4
x
3
=
4
x
3
−
19
x
2
+
4
x
−
12
−
4
x
3
−
19
x
2
+
28
x
−
12
=
−
19
x
2
+
4
x

12
Step 2: Add 19x^2 to both sides.
−
19
x
2
+
28
x
−
12
+
19
x
2
=
−
19
x
2
+
4
x
−
12
+
19
x
2
28
x
−
12
=
4
x
−
12
Step 3: Subtract 4x from both sides.
28
x
−
12
−
4
x
=
4
x
−
12
−
4
x
24
x
−
12
=
−
12
Step 4: Add 12 to both sides.
24
x
−
12
+
12
=
−
12
+
12
24
x
=
0
Step 5: Divide both sides by 24.
24
x
24
=
0
24
x
=
0
Answer:
x
=
0

3 0

4 years ago