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3 years ago

PLEAS EHELP PLEASEEEEEE

Mathematics

1 answer:

vichka [17]3 years ago

3 0

$\%\text{error}=\dfrac{|\text{estimated value}-\text{actual value}|}{\text{actual value }}\cdot100\%\\\\\%\text{error}=\dfrac{|265-297|}{297}\cdot100\%\\\%\text{error}=\dfrac{|-32|}{297}\cdot100\%\\\%\text{error}=\dfrac{32}{297}\cdot100\%\\\%\text{error}\approx10.8\%$

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In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa

sammy [17]

<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

$\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : $\overline{x}=1.9\text{ pounds}$

Standard deviation: $\sigma=0.89\text{ pounds}$

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

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

$t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604$

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

$1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)$

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)

5 0

3 years ago

HELP PLEASE!! ASAP <br> If triangles ABC and DEF are similar, what is y? Show your work.

Ivenika [448]

Answer:

y = 18

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are in proportion, that is

$\frac{BC}{EF}$ = $\frac{AC}{DF}$ , substitute values

$\frac{y}{12}$ = $\frac{21}{14}$ ( cross- multiply )

14y = 252 ( divide both sides by 14 )

y = 18

3 0

3 years ago

Read 2 more answers

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

horrorfan [7]

Answer:

solutions: (2, 10), (4, 5)
non-solutions: all other points

Step-by-step explanation:

It can be useful to graph the inequalities related to Tyler's limits of money and weight.

1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford

1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry

Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.

6 0

3 years ago

PLEASE ANSWER THIS ASAP !!!!!

cupoosta [38]

Answer:

f(2) = -5

Step-by-step explanation:

For this problem, we are evaluating the graph of f(x), meaning at the value of x, we want the y-value.

Note, when x = 2 on the graph, the only y coordinate available is y = -5.

Hence, when we evaluate f(x) for x = 2, we get y = -5. f(2) = -5.

Cheers.

7 0

3 years ago

Wth is -5/6 as a whole number or decimal?

andriy [413]

Answer: -0.833

Step-by-step explanation:

Calculate the approximate value.

3 0

3 years ago