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garik1379 [7]
2 years ago
12

Please help. There is a strong positive linear correlation between the number of rainy days and the number of grapes produced on

a grape plant. Does this mean that more rainy days cause the grape plants to produce more?

Mathematics
1 answer:
irga5000 [103]2 years ago
3 0
A strong positive linear correlation between the number of rainy days and the number of grapes produced on a grape plant, implies that: 
The more the rains the more the number of grapes produced per plant. Hence the answer is:
A] Yes. Since the number of rainy days and number of grapes produced are linearly correlated, this means a greater number of rainy days causes the grape plants to produce more.

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Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x? StartFraction 2 Over 11 EndFraction plus-or-minus
slamgirl [31]

Answer:

x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

11x^{2} -4x=1  

equate to zero

11x^{2} -4x-1=0  

so

a=11\\b=-4\\c=-1

substitute in the formula

x=\frac{-(-4)\pm\sqrt{-4^{2}-4(11)(-1)}} {2(11)}

x=\frac{4\pm\sqrt{60}} {22}

x=\frac{4\pm2\sqrt{15}} {22}

x=\frac{2\pm\sqrt{15}} {11}

x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}

therefore

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

7 0
2 years ago
Read 2 more answers
The diagram shows some land in the shape of a quadrilateral ABCD. AB = 6 km, AD = 5 km and CD = 12 km Angle BAC = 30 The land is
Goshia [24]

Answer:

£495 million

Step-by-step explanation:

To find out the total cost of the land, we need to first calculate the area of the land.

Step 1: Find area of right angled triangle ADC

AD = 5 km,

DC = 12 km

Area of the right triangle = ½*a*b

a = 5km

b = 12km

Area = ½*5*12

= 5*6

Area of ADC = 30 km²

Step 2: Find the area of triangle ABC

First, let's find the length of AC using Pythagorean theorem

AC² = AD² + DC²

AC² = 5² + 12² = 25 + 144

AC = √169

AC = 13km

Area of ∆ABC = ½*AB*AC*sin(30°)

= ½*6*13*0.5

= 3*13*0.5

Area of ∆ABC = 19.5 km²

Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²

Step 3: calculate how much the land costs

If the land costs £10 million per km²,

Cost of 49.5 km² = 49.5 × 10 = £495 million

4 0
2 years ago
Ronnie wants to lower his utility bills to save money on his monthly expenses. He discovers that if he replaces his water heater
Soloha48 [4]

Alright, lets get started.

Last year, Ronnie's utility expenses were = 1935.67 $

After switching to electric water heater to solar water heater, his yearly utility bills get reduced.

This year, Ronnie's utility expenses are = 862.40 $

So the difference on utility bills Ronnie saved = 1935.67 - 862.40

so, difference Ronnie saved = 1073.27 $

So, the percentage of amount Ronnie saved = \frac{1073.27}{1935.67} *100

Percentage of amount Ronnie saved = 55.45 %    

Hence, 55.45 % Ronnie save on his utlility bills by switching to a solar water heater.   :    Answer

Hope it will help :)


5 0
2 years ago
Read 2 more answers
What is the average rate of change in f(x) over the interval [4,13]?
Andrew [12]
I took a picture of the answer for you.

8 0
1 year ago
Read 2 more answers
Turner middle school has 110 buys. Fifty-six percent of the students are girls. How many students go to this school? Please help
aleksandr82 [10.1K]
Find the percentage of boys:
100 - 56 = 44
Boys = 44%

110 = 44%

110 is 44% of what number? 
This number will be the total number of students.


To calculate it further, divide 110 by 0.44.
4 0
2 years ago
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