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3 years ago

185,321 rounded to the nearest ten thousand

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

Well its 185.3210 to the nearest ten thousand.

Hope this helps.

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The following results come from two independent random samples taken of two populations.

photoshop1234 [79]

Answer:

$(a)\ \bar x_1 - \bar x_2 = 2.0$

$(b)\ CI =(1.0542,2.9458)$

$(c)\ CI = (0.8730,2.1270)$

Step-by-step explanation:

Given

$n_1 = 60$ $n_2 = 35$

$\bar x_1 = 13.6$ $\bar x_2 = 11.6$

$\sigma_1 = 2.1$ $\sigma_2 = 3$

Solving (a): Point estimate of difference of mean

This is calculated as: $\bar x_1 - \bar x_2$

$\bar x_1 - \bar x_2 = 13.6 - 11.6$

$\bar x_1 - \bar x_2 = 2.0$

Solving (b): 90% confidence interval

We have:

$c = 90\%$

$c = 0.90$

Confidence level is: $1 - \alpha$

$1 - \alpha = c$

$1 - \alpha = 0.90$

$\alpha = 0.10$

Calculate $z_{\alpha/2}$

$z_{\alpha/2} = z_{0.10/2}$

$z_{\alpha/2} = z_{0.05}$

The z score is:

$z_{\alpha/2} = z_{0.05} =1.645$

The endpoints of the confidence level is:

$(\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}$

$2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}$

$2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}$

$2.0 \± 1.645 * \sqrt{0.0735+0.2571}$

$2.0 \± 1.645 * \sqrt{0.3306}$

$2.0 \± 0.9458$

Split

$(2.0 - 0.9458) \to (2.0 + 0.9458)$

$(1.0542) \to (2.9458)$

Hence, the 90% confidence interval is:

$CI =(1.0542,2.9458)$

Solving (c): 95% confidence interval

We have:

$c = 95\%$

$c = 0.95$

Confidence level is: $1 - \alpha$

$1 - \alpha = c$

$1 - \alpha = 0.95$

$\alpha = 0.05$

Calculate $z_{\alpha/2}$

$z_{\alpha/2} = z_{0.05/2}$

$z_{\alpha/2} = z_{0.025}$

The z score is:

$z_{\alpha/2} = z_{0.025} =1.96$

The endpoints of the confidence level is:

$(\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}$

$2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}$

$2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}$

$2.0 \± 1.96 * \sqrt{0.0735+0.2571}$

$2.0 \± 1.96* \sqrt{0.3306}$

$2.0 \± 1.1270$

Split

$(2.0 - 1.1270) \to (2.0 + 1.1270)$

$(0.8730) \to (2.1270)$

Hence, the 95% confidence interval is:

$CI = (0.8730,2.1270)$

8 0

3 years ago

Number 24 only A B C and D

stepan [7]

Answer:

a) V = 288 - h

b) (0,288)(1,276)(2,264)(3,252)(4,240)

c) graph the above point

d) Volume decreases as height increases

Step-by-step explanation:

Step 1 :

The given equation is V = 12(24-h)

Using the distributive property we have

V= 12*24 - 12 * h = 288-h

The ordered pairs (h,V) can be obtained by giving different values for h and computing the corresponding V values

When h = 0 ,V= 288 -0= 288

When h = 1 ,V= 288 -12*1= 276

When h = 2 ,V= 288 -12*2= 264

When h = 3 ,V= 288 -12*3= 252

When h = 4 ,V= 288 -12*4= 240

Hence the ordered pairs are (0,288)(1,276)(2,264)(3,252)(4,240)

Step 3 :

The above points can be graphed using the values of h in the x axis and the values of V in the y axis

Step 4:

The above equation shows that the value of the volume V decreases as the value of h increases and becomes negative for values of h >24

7 0

3 years ago

1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one un

motikmotik

Answer:

Step-by-step explanation:

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3 years ago

Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. Carey wants to

andreyandreev [35.5K]

Answer:

24 sets

Step-by-step explanation:

Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. Carey wants to interview one male and one female cast member, and there are 4 boys and 3 girls in the musical this year. Carey also wants to interview one of the 2 students working backstage on the tech crew. Therefore, there can be 24 different sets of people that Carey can interview.

4 boys x 3 girls = 12 people

12 people x 2 students working = 24

7 0

4 years ago

Hayley begins solving this problem by combining like terms.

Artist 52 [7]

Answer:

4x - 2x = 10

Step-by-step explanation:

Option D has 2 numbers that have the same variables, therefore they are like terms.

Option C (4x=30) is not correct because it has no like terms.

Option B is not correct because we need to distribute the 2 into the x and 5 (apply <em>distributive property</em>) as our first step to solving this problem.

Option A, like option C, does not have any like terms.

I hope this helps.

4 0

3 years ago

Read 2 more answers