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2 years ago

Sue played four games of golf.

Mathematics

2 answers:

alisha [4.7K]2 years ago

7 0

Answer:

Sue's scores for the four games in ascending order are: 97, 98, 98, 107

Step-by-step explanation:

Her modal score was 98. The mode is found by using the number that appears most often. This means that 98 has to appear at least two times out of the four scores.

Her range was 10. The range is found by taking the highest score and subtracting it from the lowest score. The highest score had to be greater than 98 and the lowest score had to be less than 98 since we know the mode was 98.

Her mean score was 100. This mean is found by adding all the numbers together and then dividing by the total numbers listed. Adding the four scores together and dividing by 4 will equal 100.

Used guess and test:

Highest Number, 98, 98, Lowest Number

107 - 97 = 10 (meets range requirement)

97 + 98 + 98 + 107 = 400

400/4 = 100 (meets the mean requirement)

lina2011 [118]2 years ago

6 0

Answer:

idk

Step-by-step explanation:

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Ivenika [448]

Answer:

<h2>Height (h) =54.6mm</h2>

Step-by-step explanation:

Given :

Base (b) = 7.7mm

Area (a) = 210.21mm^2

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2 years ago

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Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first

Georgia [21]

Answer:

Solution-

We know that,

Residual value = Given value - Predicted value

The table for residual values is shown below,

Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.

We know that,

If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.

As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.

Hope this helps!

Step-by-step explanation:

4 1

2 years ago

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What is the following product? (StartRoot 12 EndRoot + StartRoot 6 EndRoot) (StartRoot 6 EndRoot minus StartRoot 10 EndRoot)

Crank

Answer:

The product results in: $6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}$ , which agrees with answer A of the given choices.

Step-by-step explanation:

We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

$(\sqrt{12} +\sqrt{6} )(\sqrt{6} -\sqrt{10} )=\\=\sqrt{12*6} -\sqrt{12*10} +\sqrt{6*6} -\sqrt{6*10} =\\=\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60}$

and now, we extract as many factors we can from the roots to reduce them:

$\sqrt{72} -\sqrt{120} +\sqrt{36} -\sqrt{60} =\\=6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}$

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2 years ago

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Here is a flower made up of yellow hexagons, red trapezoids, and green triangles. How many copies of this flower pattern could y

olganol [36]

Answer:

Part a) You could build 5 copies of the flower pattern

Part b) You would have 40 red trapezoids left over

Step-by-step explanation:

The complete question in the attached figure

Part a)

Let

x -----> the number of yellow hexagons

y ----> the number of red trapezoids

z ----> the number of green triangles

we know that

The flower pattern has the following ratios

$\frac{x}{y}=\frac{6}{2} ---->\frac{x}{y}=3 ----> \text {equation A}$

$\frac{x}{z}=\frac{6}{9} -->\frac{x}{z}=\frac{2}{3} --> \text {equation B}$

$\frac{y}{z}=\frac{2}{9} ------> \text {equation C}$

Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles

1) For x=30

Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)

$30/6=5\ copies$

Verify the quantity of y needed and the quantity of z needed

Find the value of y

$\frac{30}{y}=3 ---->y=30/3=10\\$

10 < 50 ----> is ok

Find the value of z

$\frac{30}{z}=\frac{2}{3} ---> z=30*3/2=45$

45<60 --->is ok

2) For y=50

Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)

$50/2=25\ copies$

Verify the quantity of x needed and the quantity of z needed

Find the value of x

$\frac{x}{50}=3 ---->x=50*3=150$

150 > 30 ----> is not ok

3) For z=60

Divide 60 by 9 (remember that in one pattern there are 9 green triangles)

60/9=6.7 copies

Round down

6 copies -----> 6(9)=54 green triangles

Verify the quantity of x needed and the quantity of y needed

Find the value of x

$\frac{x}{54}=\frac{2}{3} ---> z=54*2/3=36$

36> 30 --->is not ok

therefore

You could build 5 copies of the flower pattern

Part b)

we know that

x:y:z=6:2:9

If you build 5 copies

1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over

2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over

3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over

therefore

You would have 40 red trapezoids left over

4 0

1 year ago

1) The probability of drawing a pink chip from a bowl of different-colored chips is 0.35, theprobability of drawing a blue chip

docker41 [41]

Answer:

1) 0.5 or 50%.

2) Order does not matter: 3,003 combinations.

Order matters: 360,360 permutations.

Step-by-step explanation:

1) The probability of drawing either a purple or a blue chip is the sum of both individual probabilities:

$P(B\ or\ P) = P(B) +P(P) = 0.46+0.04\\P(B\ or\ P) = 0.50$

the probability that a blue or a purple chip will be drawn is 0.5 or 50%.

a) Choose 5 items from a total of 15 items when order does not matter:

$C(15,5) = \frac{15!}{(15-5)!5!}=\frac{15*14*13*12*11}{5*4*3*2*1}\\C(15,5) = 3,003$

b) Choose 5 items from a total of 15 items when order matters:

$P(15,5) = \frac{15!}{(15-5)!}=15*14*13*12*11}\\P(15,5) = 360,360$

7 0

2 years ago