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Mamont248 [21]
2 years ago
9

Quiz 3

Mathematics
1 answer:
erica [24]2 years ago
4 0

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

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A number is three less than six times another numbers. The sum is 53. Find the numbers
Pachacha [2.7K]
X = 6y - 3
x + y = 53

6y - 3 + y = 53
7y - 3 = 53
7y = 53 + 3
7y = 56
y = 56/7
y = 8

x = 6y - 3
x = 6(8) - 3
x = 48 - 3
x = 45

ur numbers are : 8 and 45
3 0
2 years ago
Neeta is a fourth grader. She is 4 feet 7 inches tall. When she was bom she was 17 inches long. How much has Neeta grown since s
Virty [35]

Answer:

A

Step-by-step explanation:

First, find Neeta's total height in inches:

4 feet in inches is 4*12, which equals 48

Add the other 7 inches of her height to get 55 inches.

Then, subtract her initial height from her current height.

55 - 17 = 38. That is how many inches she has grown. Convert that to feet by dividing 38 by 12.

You get about 3.16, which is over 3 feet. So A is the correct answer.

3 0
3 years ago
Help with this word problem
denis23 [38]
I believe the answer is Diane brought 4 pounds of coffee.
6 0
3 years ago
Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,
Tresset [83]

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


\Rightarrow 9=16a-4b+c---(1)


We substitute (0,-7) to obtain;


-7=a(0)^2+b(0)^2+c


\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


\Rightarrow 4a-b=4---(4)


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

7 0
2 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
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