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morpeh [17]
4 years ago
10

A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-

axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Mathematics
2 answers:
Vlad [161]4 years ago
7 0

Answer:

D

Step-by-step explanation:

stira [4]4 years ago
6 0

Answer:

The correct option is (D) y=\frac{4}{7}\ x+\frac{1}{7}.

Step-by-step explanation:

The two-point form for the equation of straight line is:

(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}

Thus, the equation of the trend line is y=\frac{4}{7}\ x+\frac{1}{7}.

The correct option is (D).

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Find the value of each variable in the parallelogram
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Hope it helps!
#MissionExam001

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4 years ago
A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his li
motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=\frac{P(a \ and\  b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

5 0
3 years ago
If I told you that Mexico's population was 100,000,000 and that their population growth rate was 3.5%, then what would their pop
Stels [109]

Answer:

The population one year from now would be 103,500,000

Step-by-step explanation:

The current population is 100,000,000

Growth rate of 3.5%.

So the population one year from now is 3.5% of the current population(100,000,000) added to the current population(100,000,000).

3.5% of 100,000,000 is 0.035*100,000,000 = 3,500,000.

Added to 100,000,000

100,000,000 + 3,500,000 = 103,500,000

The population one year from now would be 103,500,000

7 0
3 years ago
Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
son4ous [18]

Answer:

The question is incomplete, the complete question is  "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.  log_{4}7.

log_{4}7=1.404\\

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

log_{a}b=\frac{logb}{loga} \\

where both log are now express in the natural logarithm base.

i.e log_{a}b=\frac{lnb}{lna}\\

hence we can express our log_{4}7=\frac{ln7}{ln4} \\.

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence  log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\.

log_{4}7=1.404\\

6 0
3 years ago
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