This bottle contains 200mL of liquid plant food. What is the best estimate of how much liquid the bottle can hold when it is filled to the FULL mark? I - Ready

Answer:

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Step-by-step explanation:

Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample of 800 teens. 73% said that they use social networking sites.

This means that:

[tex]p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157[/tex]

Sample of 2253 adults. 47% said that they use social networking sites.

This means that:

[tex]p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105[/tex]

Distribution of the difference:

[tex]p = p_T - p_A = 0.73 - 0.47 = 0.26[/tex]

[tex]s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019[/tex]

Confidence interval:

Is given by:

[tex]p \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound:

[tex]p - 1.96s = 0.26 - 1.96*0.019 = 0.223[/tex]

Upper bound:

[tex]p + 1.96s = 0.26 + 1.96*0.019 = 0.297[/tex]

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Answer:

110 degrees

Step-by-step explanation:

i know this for a fact could you pls hit the crown to give brainliest when other person answers?

Answer:

x=110 degrees

Step-by-step explanation:

just trust me lol

Answer:

4 x 2 x 1 = 28

Step-by-step explanation:

12

i hope this helped sorry if it's wrong but i wish you luck (i am not good with math)

Answer: -1/8k +38

Step-by-step explanation:

Answer:

-15625000x^24

Step-by-step explanation:

Answer:

The answer for -7x + 8 - 4x - 9 is 1. -11x-1

Answer:

By a theorem we learned, i. and ii. are valid under the assump- tion that the sequences (a n)1 n=1and (b n) 1 n=1are convergent. For iii.]

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

final step for induction proof

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

We take ~p∧~q∨r to mean (~p∧~q)∨r because "and" normally has precedence over "or." The (~p∧~q) term will only come into play when both p and q are false. It will only affect the outcome if r is also false. This condition is the last line of the table.

Answer:

No solution, the lines are parallel.

Step-by-step explanation:

Any line can be represented by the equation

y = mx + b

where m is the slope and b is the y intercept.

-3x + 4y = 12

4y = 3x + 12

y = 3/4 x + 3

AND

1/4 x - 1/3 y = 1

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

-4y = -3x + 12

4y = 3x - 12

y = 3/4 x - 3

If you get both equations in this form it is evident that the slopes m are the same (parallel) but the y intercept's b are different (not the same line). Therefore no solution.

Answer:

Number of year = 25 year and 7 month (Approx.)

Step-by-step explanation:

Given:

Amount deposit = $200,000

Future amount = $1,000,000

Rate of interest = 6.5%

Find:

Number of year

Computation:

Using compound amount formula;

A = P[1+r]ⁿ

1,000,000 = 200,000[1+6.5%]ⁿ

1,000,000 / 200,000 = [1+6.5%]ⁿ

5 = [1+0.065]ⁿ

n = 25.557

Number of year = 25.557

Number of year = 25 year and 7 month (Approx.)

Answer:

d

Step-by-step explanation:

Larger samples more closely resemble the population from which they come.

Think of the difference between sampling hundreds of people from a town, perhaps asking them if they've ever ordered fast food.  If you go to McDonald's and ask customers as they come out, you wouldn't expect those answers to represent the entire population of the town, right?

Answer:

What do you want us to find???

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.

each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.

Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.

to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm

Answer:

75

Step-by-step explanation:

The mode is the number that appears most often!

Good luck!!!

Answer:

75

Step-by-step explanation:

The mode is the number that occurs most in the data set. In this case, 75 occurs 2 times.

hope this helped!

Answer:

B

Step-by-step explanation:

J = distributive

G = commutative

Answer:

380

Step-by-step explanation:

multiply  20 x 19

Answer:

10.4 meters

Step-by-step explanation:

3² + 10² = c²

9 + 100 = c²

c² = 109

c = √109 ≈ 10.4

Answer:

G=(-4,5)

G=(2*-4,2*5)

G=(-8,10)

Step-by-step explanation:

Answer:

32 minutes or .5333 of an hour

Step-by-step explanation:

Answer:

B. 2/3 because the probability of selecting a quarter is 1/3

Step-by-step explanation:

Find the total coins in the purse: 10 + 6 + 5 + 9 = 30. Now find out how many are not quarters: 10 are quarters, 30 - 10 = 20. The probability is 20/30, or 2/3,

Answer:

4 ssquare units

Step-by-step explanation:

Answer:

The total amount received is: $1906650

Step-by-step explanation:

Given

[tex]a = \$57000[/tex] --- initial

[tex]b = 1\%[/tex] --- rate

[tex]n = 29[/tex] --- time

Required

Determine the total amount at the end of 29 years

The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms

Where [tex]n = 29[/tex]

[tex]r = 1 + b[/tex]

[tex]r = 1 + 1\%[/tex]

Express percentage as decimal

[tex]r = 1 + 0.01[/tex]

[tex]r = 1.01[/tex]

The required is the calculated using:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}[/tex]

[tex]S_n = \frac{57000 * (1.3345- 1)}{0.01}[/tex]

[tex]S_n = \frac{57000 * 0.3345}{0.01}[/tex]

[tex]S_n = \frac{19066.5}{0.01}[/tex]

[tex]S_n = 1906650[/tex]

The total amount received is: $1906650

Answer:

$155

Step-by-step explanation:

If the TV costs $985 and Jasper pays 6 * $190 = 1190 then Jasper pays $1140 - $985 = $155 in interest.

Answer:

155

Step-by-step explanation:

190

×6=1140-985=155

option 1 is the answer.

Answer

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

Answer:b c d

Step-by-step explanation:

conformidad