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ICE Princess25 [194]
3 years ago
7

A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, eac

h representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true?
a.)There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster.
b.)As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.
c.)As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.
d.)The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.
Mathematics
2 answers:
Airida [17]3 years ago
5 0
The answer would be C) As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

Any questions? Ask me in the comments bellow.
Hope this helps. :)
Harman [31]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.
dmitriy555 [2]

see the attached figure to better understand the problem

we have that

cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

cos (A)=(AC/AB)\\AC=AB*cos(A)

substitute the values in the formula

AC=12*(1/5)\\ AC=2.4\ units

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}

substitute the values

BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units

Step 3  

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

BD^{2} =DC^{2}+BC^{2}

substitute the values  

BD^{2} =2^{2}+11.76^{2}

BD=11.93\ units

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0
3 years ago
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This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions a
Mice21 [21]

Answer:

AXB= = {(x, y) ∈ A ✕ B| x ∈ A , y ∈  B}

R= {(x, y) ∈ A ✕ B| x R y ⇔ |x| = |y|}

S={(x, y) ∈ x A ✕ B | S y ⇔ x − y is even}

R ∪ S= {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S}

R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}

Step-by-step explanation:

Let A = {−4, 4, 7, 9} and B = {4, 7},

Then A X B= { (-4,4),(-4,7),(4,4),(4,7),(7,4),(7,7),(9,4),(9,7)}

AXB contains all elements of A and B such that x from A and y is from B.

AXB= = {(x, y) ∈ A ✕ B| x ∈ A , y ∈  B}

R= {(-4,4),(4,4),(7,7)}

R consists all ordered pairs where  |x| = |y|

R= {(x, y) ∈ A ✕ B| x R y ⇔ |x| = |y|}

S= { (-4,4),(4,4),(7,7)}

S={(x, y) ∈ x A ✕ B | S y ⇔ x − y is even}

S consists all ordered pairs where x-y is even.

R ∪ S, = { (-4,4),(4,4),(7,7)}

R US is a set containing subsets of both sets R and S

R ∪ S= {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S}

R ∩ S=  {(-4,4),(4,4),(7,7)}

R ∩ Sis a set containing subsets only which are common between sets R and S

R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}

8 0
2 years ago
If the ratio of corresponding segments is 2:3, then the ratios of the areas and volumes are
kobusy [5.1K]

Answer:

4:9

Step-by-step explanation:

Area is squaring and Volume is cubing

So it'd be 2^2:3^3, or 4:9

I hope this helped and have a good rest of your day!

6 0
3 years ago
10,000,000,000×200,000
Snowcat [4.5K]
10,000,000,000×200,000 = 2e+15
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The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes,
satela [25.4K]

Answer:

<h2>               21 km    </h2>

Step-by-step explanation:

If the bicyclist travels 7 km for every 5 minutes then it is directly proportional

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x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km

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3 years ago
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