Find the a34 in the problem. -14, -10, -6, -2, ... a. 118 b. 122 c. 114 d. 120

A small lawnmower company produced 1,500 lawnmowers in 2008. In an effort to determine how maintenance-free these units were, th

ikadub [295]

Answer:

The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

Step-by-step explanation:

The (1 - α)% confidence interval for the average using the finite correction factor is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

The information provided is:

$N=1500\\n=183\\\sigma=1.47\\\bar x=3.3$

The critical value of z for 95% confidence level is,

z = 1.96

Compute the 95% confidence interval for the average number of years until the first major repair as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}$

$=3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)$

Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

7 0

3 years ago

A new law has support from some Democrats and some Republicans. This two-way frequency table shows the proportion from each poli

Paul [167]

Answer:

Step-by-step explanation:

Political parties are organized groups of people with similar ideas or ideology about the function and scope of government, with shared policy goals that work together to elect individuals to political office, to create and implement policies, to further an agenda, and to gain control of the government and the policy-making process. Parties gain control over the government by winning elections with candidates they officially sponsor or nominate for positions in government. Political parties nominate candidates to run many levels of government including the national level, Congress, and the presidency; but, they nominate for state and local levels as well. They also coordinate political campaigns and mobilize voters.

Political parties are points of access/linkage institutions available to the public, though they are not themselves government institutions. Neither interest groups nor political parties are directly mentioned in the U.S. Constitution. Where interest groups often work indirectly to influence our leaders, political parties are organizations that try to directly influence public policy through nominating and officially sponsoring members who seek to win and hold public office. This is a key difference. Interest groups do not officially nominate or nominate candidates for public office, although they may support them politically and even contribute dollars to their campaign.

Parties accomplish this by identifying and aligning sets of issues that are important to voters in the hopes of gaining support during elections. In this respect, parties provide choices to the electorate, something they are doing that is in sharp contrast to their opposition. These positions on these critical issues are often presented in campaign documents or political advertising. During a national presidential campaign, they also frequently reflect the party platform, which is adopted at each party’s presidential nominating convention every four years.

If successful, a party can create a large enough electoral coalition to gain control of the government. Once in power, the party is much more likely to be able to deliver, to its voters, the policy preferences they choose by electing its partisans to the government.Political parties organize political campaigns to win public office for those they nominate.

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4 0

3 years ago

Allison invested $70,000 in an account paying an interest rate of 6.2%

jeka94

Answer and Step-by-step explanation:

First, you need to make the function to represent the information given.

We start with 70,000 in the account, and have an interest rate of 6.2%.

We want to know how long it will take to get $223,200.

The equation for simple interest is:

A = $P(1 + rt)$

Where A is the total amount, P is the principle amount of money, r is the rate, and t is the time.

Now, we plug in the values and solve for t.

$223,200 = 70,000(1+6.2t)$

$\frac{\frac{223,200}{70,000} -1}{6.2} = t$

t = 0.353

Multiply by 100 to get the years.

t = 35.3

So, it will take Allison 35.3 years to get 70,000 dollars to 223,200 dollar with an interest rate of 6.2%

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I hope this helps!

5 0

3 years ago

Read 2 more answers

If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i

steposvetlana [31]

Using prime notation, the new coordinates after translation are;

New coordinates;

A': (-1, 1)

B': (-1, -2)

C': (3, -2)

D': (3, 2)

From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.

In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

Applying these translation numbers to our coordinates, we will now have;

A(-6 + 5, 5 - 4)

B(-6 + 5, 2 - 4)

C(-2 + 5, 2 - 4)

D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

7 0

2 years ago

There were 5 girls and 22 boys in math express the number of girls as a fraction of the number of boys then express the fraction

olasank [31]

5/22 is the fraction of girls to boys and as a decimal it is 2.3 rounded and not rounded is 2.27 repeated.

4 0

3 years ago