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2 years ago

I need not just the answer but the work written out

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

6 0

Answer:

A(3) = -6 + (3 - 1) (5)

-6 + (2)(5)

-6 + (10)

A(4) = -6 + (4 - 1) (5)

-6 + (3)(5)

-6 + 15

A(10) = -6 + (10 - 1) (5)

-6 + (9)(5)

-6 + 45

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In a sample of 388 people in a certain, 22% had red hair. Find a 99% confidence interval for the proportion of people in the cou

Anit [1.1K]

Answer: (0.1658, 0.2742)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

z*= Critical value

$\hat{p}$ = sample proportion.

As per given , we have

Significance level : $\alpha=1-0.99=0.01$

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

$\hat{p}=0.22$

Now, required confidence interval for proportion of people in the country that have red hair will be :-

$0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}$

$0.22\pm (2.576)\sqrt{0.000442268}$

$0.22\pm (2.576)(0.02103)$

$(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)$

The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)

8 0

2 years ago

In his bank account, Jean-Paul has a balance of $0.00

GenaCL600 [577]

Well JP has $0.00 in his bank account which means his has more debt

Albert has $11.10 which means he has greater absolute value.

5 0

3 years ago

Read 2 more answers

Use synthetic division to detemine if x+1 is a factor of f(x) for f(x) x^3-7x^2+8x+16

Gennadij [26K]

Answer:

It is a factor

Step-by-step explanation:

[x³ -7x² + 8x + 16] ÷ (x + 1)

[x³ + x² - 8x² - 8x + 16x + 16] ÷ (x + 1)

[x²(x + 1) - 8x(x + 1) + 16(x + 1)] ÷ (x + 1)

x² - 8x + 16 and tye remainder is 0.

So, yes (x + 1) is a factor

6 0

2 years ago

Determine which on the following logarithms is condensed correctly<br> See picture for options?

Serjik [45]

D is correct. Hope this helps

3 0

3 years ago

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

koban [17]

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0

3 years ago

Read 2 more answers