expression: 7 - 3(4 - 2x) - 10x
step 1: 7 - 3(4 - 2x) - 10x
step 2: 4(4 - 2x) - 10x
explain why step 2 is wrong

The 23rd Amendment to the United States Constitution, ratified in 1961, granted residents of Washington, D.C. the right to vote in presidential elections. While the amendment faced some opposition, it was generally supported and received significant bipartisan backing. Here are some points highlighting both support and opposition:

Support:

1. Aimed to address the issue of taxation without representation for D.C. residents.

2. Increased democratic participation and representation.

3. Enjoyed widespread bipartisan support in Congress.

4. Favored by President Dwight D. Eisenhower.

5. Supported by civil rights leaders, including Martin Luther King Jr.

6. Strengthened the democratic principles of the Constitution.

7. Aligned with the ideals of equality and fairness.

8. Expanded voting rights to a historically disenfranchised group.

9. Encouraged civic engagement and participation in the democratic process.

10. Promoted a more inclusive and representative democracy.

Opposition:

1. Concerns about granting electoral votes to a non-state entity.

2. Fear of diluting the influence of existing states.

3. Worries that D.C. residents may not have the same stake in national issues.

4. Some argued that it could favor one political party over another.

5. Questions about the practicality of D.C. as a voting jurisdiction.

6. Opposition from some Southern senators due to civil rights implications.

7. Concerns that D.C. residents could sway close presidential elections.

8. Arguments against amending the Constitution for a specific regional issue.

9. Belief that D.C. residents already had representation through Congress.

10. Worries about potential conflicts between federal and local interests in D.C.

Please note that these points are a general overview and not an exhaustive list of all the arguments made for or against the 23rd Amendment.

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The number of hamburgers sold on Friday was 442.

Let us form the linear equation to find the number of burgers;

Let the cheeseburger be represented by x.

Since there were 67 more cheeseburgers sold than hamburgers. This means that hamburgers will be:

The number of hamburgers = x + 67.

Since the local hamburger shop sold a combined total of 817 hamburgers and cheeseburgers. This will be:

x + x + 67 = 817

2x + 67= 817

2x = 817 - 67

2x = 750

x = 750 / 2

x = 375

So, 375 cheeseburgers were sold on Friday.

Therefore, the number of hamburgers sold will be:

= 817 - 375

= 442

Thus, the number of hamburgers sold on Friday was 442.

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Answer:

150 cm.

Step-by-step explanation:

There 6 squares in a cube.

**SQUARES HAVE EQUAL SIDES.**

To find the area of an individual square, multiply the side length by itself twice. (x^2)

The side lengths of the squares are 5.

5 x 5 = 25.

25 is the area of each individual square.

Since there are 6 squares in total, multiply 25 by 6.

25 x 6 = 150.

Therefore, 150 cm is the surface area of the cube.

The following Answer is:

12,100

Volume of a prism: base area x height

Edge of each cube: 1 inch

Cubes used for the first layer: 42

Base area = 42 inches

height = 7 inches (or layers )

Volume = 42 x 7 = 294 cubic inches

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

a. n = 4:

Mean= 100

Standard Deviation = 5

b. n = 25:

Mean = 100

Standard Deviation = 2

c. n = 100:

Mean= 100

Standard Deviation = 1

d. n = 50:

Mean= 100

Standard Deviation=1.414

e. n = 500:

Mean= 100

Standard Deviation = 0.447

f. n = 1,000:

Mean= 100

Standard Deviation = 0.316

The mean and standard deviation of the sampling distribution of the sample mean (x) can be calculated using the following formulas:

Mean of the Sampling Distribution (μX) = μ (population mean)

Standard Deviation of the Sampling Distribution (σX) = σ / √n (population standard deviation divided by the square root of the sample size)

Given that the population mean (μ) is 100 and the population variance (σ²) is 100, we can calculate the mean and standard deviation of the sampling distribution for each value of n:

a. n = 4:

μX = μ = 100

σX = σ / √n = 10 / √4 = 5

b. n = 25:

μX = μ = 100

σX = σ / √n = 10 / √25 = 2

c. n = 100:

μX = μ = 100

σX = σ / √n = 10 / √100 = 1

d. n = 50:

μX= μ = 100

σX = σ / √n = 10 / √50 = 1.414

e. n = 500:

μX = μ = 100

σX = σ / √n = 10 / √500 =0.447

f. n = 1,000:

μX = μ = 100

σX = σ / √n = 10 / √1000 = 0.316

Therefore, the mean of the sampling distribution (μX) remains the same as the population mean (μ) for all values of n, while the standard deviation of the sampling distribution (σX) decreases as the sample size increases.

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(a) We can use a two-sample t-test to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

The null hypothesis is that the mean weight of regular Coke is equal to or less than the mean weight of Diet Coke, while the alternative hypothesis is that the mean weight of regular Coke is greater than the mean weight of Diet Coke. Using a calculator or statistical software, we find that the test statistic is 4.013 and the p-value is 0.0001. Since the p-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

(b) Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke. Sugar has weight and adds to the overall weight of the can. Diet Coke uses artificial sweeteners instead of sugar, which would result in a lower weight for the can.

Note: The answer choices provided are not accurate as they do not address the actual reason for the weight difference.

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Answer:

7 Nickels and 1 Quarter

Step-by-step explanation:

1 quarter= 25 cents

1 Nickel= 5 cents

60-25=35

35/5= 7

you have 7 nickels

Answer:

7

Step-by-step explanation:

Answer:

(5,-4)

Step-by-step explanation:

The type of variable required is Qualitative with two possible outcomes.

An estimate level of uncertainty is expressed by a range of values known as a confidence interval.

Keeping in mind, the z-score and other data's decimal places should be preserved when generating the confidence interval upper and lower bounds. The responses will be accurate and round-off errors will be prevented.

Also, the confidence interval boundaries are expressed in percentages. The maximum value of 0.8740, for instance, is 87.4% in decimal notation.

Make sure to specify the confidence level, the percentage of the population that the confidence interval actually captures, and the bounds expressed in percentages when expressing the meaning of the confidence interval.

Hence, the type of variable required to construct a confidence interval for a population​ proportion is Qualitative with 2 possible outcomes.

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The materials having a specific gravity of less than 3 are Calcite, Feldspar, and Gypsum.

Specific gravity is the ratio of a substance's density to the density of a given reference material. Specific gravity is almost always measured in relation to water at its densest; for gases, the reference is room-temperature air.

Calcite-specific gravity ranges from 2.71 to 2.94.

Feldspar-specific gravity ranges from 2.5 to 2.7.

Gypsum-specific gravity ranges from 2.3 to 2.4.

It is important to note that there are many other minerals with specific gravities of less than 3, and additional information about the mineral would be needed to accurately identify it.

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Answer:

A

Step-by-step explanation:

The probability that William is the first to throw a 6 is approximately 125/1296 or roughly 0.096.

You asked for the probability that William is the first to throw a 6 when Nicola, Stephanie, Kathryn, and William take turns rolling a fair die.

To calculate this probability, we need to consider the following events:
1. William rolls a 6.
2. Nicola, Stephanie, and Kathryn all roll a number other than 6.

The probability of each person rolling a 6 is 1/6, while the probability of not rolling a 6 is 5/6.

So, the probability that William is the first to roll a 6 is:

P(William rolls 6) = P(Nicola rolls not 6) × P(Stephanie rolls not 6) × P(Kathryn rolls not 6) × P(William rolls 6)
= (5/6) × (5/6) × (5/6) × (1/6)

Now, multiply the fractions:

= (5 × 5 × 5 × 1) / (6 × 6 × 6 × 6)
= 125 / 1296

So, the probability that William is the first to throw a 6 is approximately 125/1296, or roughly 0.096 (rounded to 3 decimal places).

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Answer:

D

Step-by-step explanation:

\(Tan \ 19 = \dfrac{Opposite \ side}{Adjacent \ side}\\\\0.3443 = \dfrac{x}{15}\\\\0.3443*15=x\)

x = 5.1645

x = 5.2

Answer:

55 Gallons

Step-by-step explanation:

143 - (8)(11)

143 - 88

143 -  88

55 gallons

Answer:

There are infinite solutions

Step-by-step explanation:

Both of these equations are the exact same. 6x+2y=-4 in y=mx+b form is y = -3x - 2. This means that since they are exactly the same, there are infinite solutions.

Answer:

=5x5x5

Step-by-step explanation:

5x5^2

=5x(5x5)

=5x5x5

Answer:

625

Step-by-step explanation:

5×5 to the power of 2

25 to the power of 2

25×25 = 625

Answer:

2x4=8+3=11

Step-by-step explanation:

first multiply 2 times 4 equals 8 and add 3 which equals 11.

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

m = (2-1)/(1-0) = 1/1 = 1

conclusion:

y = x + 1

Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)

don't forget to drop a heart hope it helped

Step-by-step explanation:

Answer: 1/0.2=5

Step-by-step explanation:

I hope this helps if you guys need a reach out to me :)

It is unlikely that the projected rebounds in 15 shots will actually happen.

Total shots fired equals 10.

To find that there were 15 shots total.

Consider S to be the likelihood that your team will rebound and miss a shot.

P(S) = Number of rebounds / Total Number of outcomes

P(S) = 7/15

P(S) = 0.46

Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.

Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.

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The complete question is-

During a basketball game, you record the number of rebounds from missed shots for each team.  How many rebounds should your team expect to have in 15 missed shots?

Picture for question is attached.

Answer:

70.3

Step-by-step explanation:

7 tenths = 70

Answer:

Option #4 7.3

Step-by-step explanation:

First you multiply 7 by 10 the denominator. (7x10)=70

Second add 3 to the sum. (70+3)= 73

Third divide 73 by 10. (73/10)=7.3

This makes the answer 7.3.

-Hope this helped

Answer:

y = 3.3x + 20

Step-by-step explanation:

-2/3x +1/5y = 4   y = mx + b

-2/3x + 1/5y = 4

-2/3                -2/3

1/5y = 2/3 + 4

1/5  / 2/3 = 3.3

1/5 / 4 = 20

y = 3.3x + 20

The first four terms and the stated term, with an as the first term, are given the arithmetic sequence: 11 + 9n, a6.

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Answer:I think it’s B but I’m not so sure

Step-by-step explanation:

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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