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1 year ago

9

Tariq wrote the equation y=3.2x to represent the line of best fit for the data shown. Is his line a good representation for the

data? Explain your reasoning.

1 answer:

Setler79 [48]1 year ago

6 0

Answer:

No

Step-by-step explanation:

The way to find the line of best fit by estimate is to have about half the points be above and below the line of best fit. In this case Tariq followed the first few points of the data but his estimate would be very off after 10 on the x axis. This would not accurately predict what the next data point could be.

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It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) su

cricket20 [7]

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

4. gym practice

Step-by-step explanation:

<u>1. the students intelligent quotient</u>

<u>gpa</u><u> </u>has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.

2. <u>ability to remember</u>

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

3. <u>study time</u>

gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.

4. <u>gym</u><u> </u><u>practice</u>

gpa and gym practice are not related so the slope would be in a downward direction.

when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.

6 0

2 years ago

If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?

lana66690 [7]

Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

$C = 9 * 10^2kg$

$C = 9 *100kg$

$C = 900kg$

$B = 1.8 * 10^5kg$

$B = 1.8 * 100000kg$

$B = 180000kg$

Divide the bigger weight by the smaller weight

$\frac{B}{C} = \frac{180000kg}{900kg}$

$\frac{B}{C} = \frac{180000}{900}$

$\frac{B}{C} = {200}{}$

Multiply both sides by C

$C * \frac{B}{C} = {200}{} * C$

$B = {200}{} * C$

$B = 200}C$

<em>From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow</em>

7 0

1 year ago

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm?

ololo11 [35]

central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Step-by-step explanation:

We need to find the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm.

arc length l== 7.2 cm

radius =r= 8 cm

central angle=Ф = ?

The formula used is:

$l=r\theta$

Putting values:

$\theta=\frac{l}{r}\\ \theta=\frac{7.2}{8} \\\theta=0.9\,\,radians$

So, central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Keywords: central angle of circle

Learn more about central angle of circle at

#learnwithBrainly

4 0

1 year ago

3. Tom, Sam and Matt are counting drum beats.

just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0

1 year ago

The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a va

Firlakuza [10]

Answer:

1

The probability is $P(\= X < 33) = 0.8531$

2

The probability is $P(\= X > 30) = 0.3520$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 28.29$

The standard deviation is $\sigma = 33.493$

The sample size is $n = 56$

Generally the standard error for the sample mean $(\= x )$ is mathematically evaluated as

$\sigma _{\=x} = \frac{\sigma}{\sqrt{n} }$

substituting values

$\sigma _{\=x} = \frac{33.493}{\sqrt{56} }$

$\sigma _{\=x} = 4.48$

Apply central limit theorem[CLT] we have that

$P(\= X < 33) = [z < \frac{33 - \mu }{\sigma_{\= x}} ]$

substituting values

$P(\= X < 33) = [z < \frac{33 - 28.29 }{4.48} ]$

$P(\= X < 33) = [z < 1.05 ]$

From the z-table we have that

$P(\= X < 33) = 0.8531$

For the second question

Apply central limit theorem[CLT] we have that

$P(\= X > 30 ) = [z > \frac{30 - \mu }{\sigma_{\= x}} ]$

substituting values

$P(\= X < 33) = [z > \frac{30 - 28.29 }{4.48} ]$

From the z-table we have that

$P(\= X < 30) = 0.6480$

Thus

$P(\= X > 30) = 1- P(\= X < 30) = 1- 0.6480$

$P(\= X > 30) = 0.3520$

3 0

1 year ago