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elena55 [62]
3 years ago
6

Sociologists studying the behavior of high school freshmen in a certain state collected data from a random sample of freshmen in

the population. They constructed the 90 percent confidence interval 6.46±0.416.46±0.41 for the mean number of hours per week spent by freshmen in extracurricular activities.
Assuming all conditions for inference are met, which of the following is a correct interpretation of the interval?

For all freshmen in the state, 90 percent of the freshmen spend between 6.05 hours and 6.87 hours per week in extracurricular activities.

A. The probability is 0.90 that the mean number of hours spent in extracurricular activities for freshmen in the sample is between 6.05 hours and 6.87 hours per week.

B. The probability is 0.90 that the mean number of hours spent in extracurricular activities for freshmen in the state is between 6.05 hours and 6.87 hours per week.

C. We are 90 percent confident that the mean number of hours spent in extracurricular activities for freshmen in the sample is between 6.05 hours and 6.87 hours per week.

D. We are 90 percent confident that the mean number of hours spent in extracurricular activities for freshmen in the state is between 6.05 hours and 6.87 hours per week.
Mathematics
2 answers:
Nataly_w [17]3 years ago
6 0

Answer:

E

Step-by-step explanation:

A percent confident interval is usually say that we agree **%** confident that the true population mean lies in between **interval** thus making E the best answer because it follows that format and has the population (freshmen in the state) rather than the sample (freshmen in the sample)

timurjin [86]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Stay safe hope this helps

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Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope
IrinaVladis [17]

Answer:

The correct answer is option B.

Step-by-step explanation:

Two point form of the equation:

(y-y_1)=\frac{y_2-y_1}{x_2-x_1}\times (x-x_1)

\frac{y_2-y_1}{x_2-x_1}=Slope=m

(y-y_1)=m\times (x-x_1)

A line passing through the point (-1,6) with slope ,m = -3.

The equation of the line will be:

y-6=(-3)(x-(-1))=(-3)(x+1)

Hence, the correct answer is option B.

3 0
3 years ago
Read 2 more answers
Which of the following correctly uses absolute value to show the distance between −50 and 12?
Softa [21]

Answer:

 62 units

Step-by-step explanation:

The absolute value of a number A is the positive distance between 0 and the number A (you can think this distance as the distance measured with a ruler from 0 to the number). For example:

|-2|=2 ,  |25|=25,  |-3|=3, |-25.3|=25.3

Note that the absolte value is always positive.

The distance between two numbers P,Q in the real line is the absolute value of the difference between the two points:

Hence, the distnce between P=-50 and Q=12 is equal to

7 0
3 years ago
Find the value of b. B² = 256
Jlenok [28]

B^2=256

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

B=\sqrt{256},\:B=-\sqrt{256}

\sqrt{256}

\mathrm{Factor\:the\:number:\:}\:256=16^2

=\sqrt{16^2}

=16

-\sqrt{256} =-16

B=16,\:B=-16

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>

<em>by a random romanian guy</em>

7 0
3 years ago
0.6(4-2x)=20.5-(3x+10)
solong [7]

The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5

<u>Solution:</u>

Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )

We have to solve the above given equation for x.

Now, take the equation  

\rightarrow 0.6(4-2 x)=20.5-(3 x+10)

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction

On solving the brackets, we get

\rightarrow 0.6 \times 4-0.6 \times 2 x=20.5-3 x-10

Now multiplication is given preference

\rightarrow 2.4-1.2 x=10.5-3 x

\rightarrow 3 x-1.2 x=10.5-2.4

Now subtraction is done

\rightarrow 1.8 \mathrm{x}=8.1

Now division is performed

\rightarrow x=\frac{8.1}{1.8}=4.5

Hence, the value of x is 4.5

5 0
3 years ago
Bryn's age is given by the expression 3g - 7, where g is her sister Gabriela's age. If Bryn is 17, how old is Gabriela?
lutik1710 [3]
You are told that B=3g-7  and you are also told that B=17 so

3g-7=17  add 7 to both sides

3g=24  divide both sides by 3

g=8

So Gabriela is 8 years of age.
8 0
3 years ago
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