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3 years ago

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A waffle house offers 19 different types of syrups. If a customer can choose any number of syrups to have with their waffle, how

many syrup combinations are possible? Please show work

1 answer:

bogdanovich [222]3 years ago

3 0

Answer:

Step-by-step explanation:

they all just have 19 or less

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Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb

Maksim231197 [3]

Answer:

$n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689$

So the answer for this case would be n=689 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: "Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 0 and 8 years. Use the range rule of thumb to estimate the standard deviation.

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb to estimate the standard deviation. Next, find the size of the sample required to estimate the mean age (in years) of textbooks currently used in college courses. Use a 90% confidence level and assume that the sample mean will be in error by no more than 0.25 year."

Solution for the problem

First we need ti find the estimation for the standard deviation using the Rule of thumb, with the following formula:

$s \approx \frac{R}{4}$

Where R is the range defined as :

$R = Max - Min = 8-0 = 8$

So then the deviation would be approximately:

$s \approx 4$

Important concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error (ME) is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that $ME =\pm 0.25$ and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

We can assume that the estimator for the population deviation from the rule of thumb is $\hat \sigma = s= 4$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.64$ , replacing into formula (2) we got:

$n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689$

So the answer for this case would be n=689 rounded up to the nearest integer

6 0

3 years ago

Which ones have a relationship with functions

Anit [1.1K]

Answer:

b. Yes

c. No

d. No

e. Yes

Step-by-step explanation:

hope this helped

7 0

3 years ago

Read 2 more answers

Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options.

lidiya [134]

Answer:

2. Line MK is the perpendicular bisector of LN.

3. ML ≅ MP

4. ML ≅ MN

Step-by-step explanation:

To prove that ΔLMP ≅ ΔNMP by HL.

The second option or statement states that :

Line MK being the perpendicular bisector of LN then it will explain that angles PML and PMN are right angles. Thus, they are congruent.

Statement 3 and 4 says that

ML, MP, and MN are congruent. Since ML is congruent to MP and MN both. Thus conclude that triangle ΔLMP ≅ ΔNMP by HL

Thus, the correct answer - option 2, 3, and 4.

6 0

3 years ago

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Write an equation of the line that passes through 7,10 and is perpendicular to the line y=1/2-9

kow [346]

An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is $y=-2x+24$

Step-by-step explanation:

We need to write an equation of the line that passes through 7,10 and is perpendicular to the line y=1/2x-9

<u>Note:</u> Considering the line y=1/2x-9

For finding an equation of line we need

Slope (m)
y-intercept (b)

The general equation of slope intercept form used is:

$y=mx+b$

The equation of line given is: y=1/2x-9

The new line is perpendicular to the given line So, the slope of new line would be m = -1/m

So, Slope of given line m = 1/2

Slope of required line = -1/m = -2

So, m= -2

Now, for finding y-intercept (b) we need slope m = -2 and the point given (7,10)

Putting values of m, x=7 and y = 10 in the equation of slope intercept form

$y=mx+b\\10=-2(7)+b\\10=-14+b\\b=10+14\\b=24$

So, Equation of required line having slope m = -2 and y-intercept b = 24

$y=mx+b\\y=-2x+24$

An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is $y=-2x+24$

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

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3 years ago

Dean is remodeling his kitchen. He's made a scale diagram to lay out the new features, including a center island. Dean uses a sc

Svetach [21]

24 is the correct answer
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4 0

3 years ago

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