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Ilia_Sergeevich [38]
3 years ago
6

For the​ following, indicate whether a confidence interval for a proportion or mean should be constructed to estimate the variab

le of interest. Justify your response. Does chewing your food for a longer period of time reduce​ one's caloric intake of food at​ dinner? A researcher requires a sample of 75 healthy males to chew their food twice as long as they normally do. The researcher then records the calorie consumption at dinner.
Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0

Answer:

A confidence interval for a mean

Step-by-step explanation:

anzhelika [568]3 years ago
4 0

Answer:

A confidence interval for a mean should be constructed to estimate the variable of interest.

Step-by-step explanation:

The confidence interval for a mean uses the sample mean to estimate the true population mean.  Since it is a confidence interval, instead of a single number for the mean, the result shows a lower estimate and an upper estimate of the mean.  In this experiment, the confidence interval cannot be for a proportion since the population of healthy males is unknown, but the calculation is being done with a sample of 75 healthy males.

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Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3
Leona [35]

we are ratio as

=\frac{3}{7}

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

=\frac{3\times 5}{7\times 5}

=\frac{15}{7\times 5}

=\frac{15}{35}

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0
3 years ago
How can you get 3/3 -1/6?
cluponka [151]

9514 1404 393

Answer:

  5/6

Step-by-step explanation:

Addition or subtraction of fractions requires a common denominator. The value 3/3 can be multiplied by 2/2 to give 6/6, which has the same denominator as the other fraction.

  \dfrac{3}{3}-\dfrac{1}{6}=\dfrac{3\cdot2}{3\cdot2}-\dfrac{1}{6}\\\\=\dfrac{6}{6}-\dfrac{1}{6}=\dfrac{6-1}{6}=\boxed{\dfrac{5}{6}}

5 0
3 years ago
Show that sin (x + pi) = -sin x.
Lunna [17]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

sin(A + B) = sin A cos B + cos A sin B

In this problem we have

sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)

Remember that

sin(\pi) = 0

cos(\pi) = -1

substitute

sin(x + \pi) = sin(x)(-1) + cos(x)(0)

sin(x + \pi) = -sin(x)

4 0
3 years ago
Zahra has paper rectangles of different sizes. Every rectangle is 5 centimeters longer than it is wide. Is there a proportional
Alika [10]

Answer: The answer is NO. Explained below.


Step-by-step explanation:  Given that Zahra has a number of rectangles of different sizes which are made of paper. Also, the length of every rectangle is 5 cm more than its breadth.

We are to find whether the relationship between lengths and breadths of rectangles is proportional or not.

Let,  'l' represents the length and 'b' represents the breadth of any of these rectangles, then according to the given information, we can write

l = b + 5.

For a proportional relationship, we need a relation of the form

l = k × b, which is not always possible in the given case.

For example, if l = 8, b = 3, and l=9, b=4 then we cannot write

l = k × b, for a constant k.

Hence there is no proportional relationship  between the lengths and widths of these rectangles.

Thus, the answer is NO. Hence explained.


5 0
3 years ago
Read 2 more answers
Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.
Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)

Plugging the values.

⇒ cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)

We know that the values :

sin(45) =cos(45) = \frac{1}{\sqrt{2} }

sin(60)=\frac{\sqrt{3} }{2}  and  cos(60)=\frac{1}{2}

So,

⇒ cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})

⇒ cos(45-60)=(\frac{1}{2\sqrt{2} }  + \frac{\sqrt{3} }{2\sqrt{2} })

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }  ...<em>rationalizing </em>

⇒ cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}

⇒ cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}       ...<em>taking 2 as a common factor</em>

<em>⇒ </em>cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}

To find the exact values we have to put the values of sq-rt .

As<em>, </em>\sqrt{2}=1.41     and   \sqrt{6} =2.44

Then

<em>⇒ </em>cos(45-60)=\frac{( 1.41+2.44)}{4}<em />

<em>⇒ </em>cos(45-60)=\frac{( 3.85)}{4}<em />

⇒ cos(45-60)=0.96

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0
3 years ago
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