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pav-90 [236]
3 years ago
7

Round your answer to the nearest hundredth.

Mathematics
1 answer:
Reptile [31]3 years ago
3 0

Answer:

10.99

Step-by-step explanation:

tan20 =  \frac{ac}{bc}  \\ bc =  \frac{ac}{tan20}  \\  =  \frac{4}{tan20}  \\  = 10.99

where you see tan20 the 20 has a degree sign on top

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A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for random sampleof 1044 pe
Evgesh-ka [11]

Answer:

A) D

B) B

C) C

D) B

Step-by-step explanation:

The complete question is:

A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for random sampleof 1044 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.44 hours with a standarddeviation of 0.57 hour. (A.) A histogram of time spent eating and drinking each day is skewed right. Use the result to explain why a large samplesize is needed to construct a confidence interval for the mean time spent eating and drinking each day.A. The distribution of the sample mean will never be approx. normalB. The distribution of the sample mean will always be approx. normalC. Since the distribution of time eating and drinking each is normally distributedthe sample must be large so that the distribution of the sample mean will be apprx. NormalD. Since the distribution of time spent eating and drinking each day is not normally distributed (skewed right), the sample must be large so that the distribution of the sample mean will be approx. normal.

(B) In 2010, there were over 200 million people nationally age 15 or older. Explain why this, along with the fact that that the data were obtained using a random sample, satisifies the requirements for constructing a confidence interval.A. The sampe size is greater than 5% of the population.B. The sample size is less than 10% of the populationC. The sample size is greater than 10% of the populationD. The sample size is less than 5% of the population.

(C.) Determine and interpret a 95% confidence interval for themean amount of time Americans age 15 older spend eating and drink each day.A. the nutritionist is 95% confident that the mean amount of time spent eatingand drinking per day is between blank and blank hours.B. the nutritionist is 95% confident that the amount of time spent eating or drinking per day forany individuals is between blank and blank hours.C. There is a 95% probability that the meant amount of time spent eating or drinking per day is between blank and blank hours.D. The requirements for constructing a confidence interval are not satisfied.

(D) Could the interval be used to estimate the mean amount of time a 9 year old spends eating and drinking each day?A. No, the interval is about individual time spent eating or drinking per day and cannot be used to find the mean time spent eating or drinking per day.B. No the intreval is about people age 15 or older. The mean amount of time spent eatinf or drinking per day for 9 year olds may differ.C. Yes, the interval is about individual time spent eating or drinking per dat and can be used to find the mean amount of time a 9 year old spends eating and drinking each day.D. Yes, the interval is about the mean amount of time spent eating or drinking per day for the 9 year olds.E. A confidence interval could not be constructed in part (C)D

A) a large sample size ensures normal distribution

B) a good sample size is around 10% of the population

C) confidence interval is a range of value and defines probability that mean of the population will lie with in the range

D) The data given is for 15 years and older so it can't be used for 9 years and younger

3 0
3 years ago
Click an item in the list of groups of pictures at the bottom of the problem and, holding the button down, drag it into the corr
tankabanditka [31]

An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of an exponential function is given by the formula,

y = A (B)ˣ

Now as per the graph, there are two points (1, 50) and (2, 25).

50 = A (B)¹

50 = AB

A = 50/B

Substitute another point in the equation,.

25 = A (B)²

25 = (50/B) (B)²

25 = 50B

B = 0.5

Substitute the value of B,

A = 50/0.5 = 100

Hence, the equation of the exponential graph is A=100(0.5)ˣ.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

3 0
2 years ago
6x+4y=12 into y=my+b
kirza4 [7]
6x + 4y = 12...subtract 6x from both sides
4y = -6x + 12 ...divide both sides by 4
(4/4)y = (-6/4)x + 12/4...reduce
y = -3/2x + 4 <== y = mx + b
7 0
3 years ago
Read 2 more answers
One of the diagonals of a rhombus of perimeter 120m is 36m. Find its area and the length of the other diagonal. pls answer fastt
mash [69]

Answer: 864\ m^2,\ 24\ m

Step-by-step explanation:

Given

Perimeter of the rhombus is 120\ m

Length of one of the diagonal is d_1=36\ m

All the sides of the rhombus are equal

\Rightarrow 4a=120\\\Rightarrow a=30\ m

Area of the rhombus with side and one diagonal is

\Rightarrow \text{Area=}\dfrac{1}{2}d\sqrt{4a^2-d^2}

Insert the values

\Rightarrow \text{Area=}\dfrac{1}{2}\times 36\times \sqrt{4\cdot 30^2-36^2}\\\\\Rightarrow \text{Area= }18\sqrt{3600-1296}\\\Rightarrow \text{Area= }18\times 48\\\Rightarrow \text{Area= }864\ m^2

Area with two diagonals length can be given by

\Rightarrow \text{Area =}0.5\times d_1\times d_2 \\\text{Insert the values}\\\Rightarrow 864=36\times d_2\\\Rightarrow d_2=24\ m

Thus, the area of the rhombus is 864\ m^2 and the length of the other diagonal is 24\ m

4 0
3 years ago
Which of the following numbers is rational?<br> OA) 7.885<br> OB) IT<br> OC) 0.144<br> OD 91
babymother [125]
I TBINK THE ANSWR WOULD BE A OR C
8 0
4 years ago
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