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torisob [31]
2 years ago
9

The populations and areas of four states are shown. A 3-column table has 4 rows. The first column has entries State A, State B,

State C, State D. The second column is labeled Population with entries 1,055,173, 1,333,089, 3,596,677, 6,745,408. The third column is labeled Area (kilometers squared) with entries 2,677, 36,418, 5,543, 10,555. Which statement regarding these four states is true? The state with the lowest population has the greatest population density. The state with the second lowest population has the lowest population density. The state with the lowest population has the lowest population density. The state with the second greatest population has the lowest population density.
Mathematics
2 answers:
luda_lava [24]2 years ago
7 0

The state with the second lowest population has the lowest population density

dedylja [7]2 years ago
6 0

Answer:

B

Step-by-step explanation:

First, pop. density for State A:

population/area : 1,055,173 / 2,677 = 394.16

For State B:

pop./A : 1,333,089 / 36,418 = 36.61

For State C:

pop.A : 3,596,677 / 5,543 = 648.87

For State D:

pop./A : 6,745,408 / 10,555 = 639.07

Okay!

So with this data, we can easily rule out the first option (State A has the least population, but it isn't the most densely populated). Moving on to the second option, we see that the state with the second-lowest population, State B, also has the lowest population density! Thus, our answer is B (haha which is coincidentally the State name).

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Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?distribute –4 to get –8x 4 > 5 – 3x.distribute
Leviafan [203]

Answer:

Option A is correct.

The first step in solving the inequality is:

to distribute -4 to get  -8x + 4> 5-3x

Step-by-step explanation:

The distributive property says that:

a\cdot(b+c) =a\cdot b + a\cdot c

Given the inequality:

-4(2x-1)> 5-3x

Apply the distributive property we have;

-4 \cdot (2x) -4\cdot (-1)> 5-3x

Simplify:

-8x + 4> 5-3x

Therefore, the first step in solving the inequality is:

to distribute -4 to get  -8x + 4> 5-3x

9 0
2 years ago
Read 2 more answers
1 point) As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distri
BigorU [14]

Answer:

(a) E (X) = 61 and SD (X) = 9

(b) E (Z) = 0 and SD (Z) = 1

Step-by-step explanation:

The time of the finishers in the New York City 10 km run are normally distributed with a mean,<em>μ</em> = 61 minutes and a standard deviation, <em>σ</em> = 9 minutes.

(a)

The random variable <em>X</em> is defined as the finishing time for the finishers.

Then the expected value of <em>X</em> is:

<em>E </em>(<em>X</em>) = 61 minutes

The variance of the random variable <em>X</em> is:

<em>V</em> (<em>X</em>) = (9 minutes)²

Then the standard deviation of the random variable <em>X</em> is:

<em>SD</em> (<em>X</em>) = 9 minutes

(b)

The random variable <em>Z</em> is the standardized form of the random variable <em>X</em>.

It is defined as:Z=\frac{X-\mu}{\sigma}

Compute the expected value of <em>Z</em> as follows:

E(Z)=E[\frac{X-\mu}{\sigma}]\\=\frac{E(X)-\mu}{\sigma}\\=\frac{61-61}{9}\\=0

The mean of <em>Z</em> is 0.

Compute the variance of <em>Z</em> as follows:

V(Z)=V[\frac{X-\mu}{\sigma}]\\=\frac{V(X)+V(\mu)}{\sigma^{2}}\\=\frac{V(X)}{\sigma^{2}}\\=\frac{9^{2}}{9^{2}}\\=1

The variance of <em>Z</em> is 1.

So the standard deviation is 1.

8 0
2 years ago
HELP!!
Liono4ka [1.6K]

Answer:

Part 1: The polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2: The vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

Step-by-step explanation:

Part 1:

The vertices of the polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6).

The vertices of the polygon MNOPQ are M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).

We need to find the transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ.

The relation between the vertices of ABCDE and MNOPQ are defined as

(x,y)\rightarrow (-x,y)

It means the polygon ABCDE reflected across y-axis to get the polygon MNOPQ. So, the polygon ABCDE congruent to polygon MNOPQ.

Part 2:

If polygon MNOPQ is translated 3 units right and 5 units down, then

(x,y)\rightarrow (x+3,y-5)

M(-2,8)\rightarrow V(-2+3,8-5)=V(1,3)

N(-4,12)\rightarrow W(-4+3,12-5)=W(-1,7)

O(-10,12)\rightarrow X(-10+3,12-5)=X(-7,7)

P(-8,8)\rightarrow Y(-8+3,8-5)=Y(-5,3)

Q(-6,6)\rightarrow Z(-6+3,6-5)=Z(-3,1)

Therefore the vertices of polygon VWXYZ are V(1, 3), W(-1, 7), X(-7, 7), Y(-5, 3), and Z(-3, 1).

6 0
2 years ago
Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items wer
Tomtit [17]
See the attached figure
===========================
<span>After 3 days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is 27.
</span>
======================================================
Explanation of the answer:
<span>The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph
</span>
<span>The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph
</span>
The point of intersection represents <span>the total number of belts sold will be the same as the total number of wallets sold.</span>

8 0
2 years ago
Read 2 more answers
Upper A baseball organization tests players to see whether they are using​ performance-enhancing drugs. Officials select a team
aleksklad [387]

Answer:

Cluster sampling

No

Step-by-step explanation:

Missing part of Question

Find:

a) Which type of sample is this?

b) Is it the correct choice ?

Solution:

- Simple random sample is the one in which every individual would have equal chance of being selected.

- Stratified random sample draws simple random sample from the independent sub-groups.

- Systematic sampling is letting every kth individual be in the sample ( k as an integer )

- Convenience sampling is used for example voluntary response or a sub-group from the population.

a)

Cluster sampling was used in our case because one of all the teams were chosen and this entire team is in this sample.

b)

No. This method has limitation of giving us a shortsighted view which lacks the overview on the use of performance-enhancing drugs, we can only use this sample to draw conclusions on the team.

7 0
2 years ago
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