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densk [106]
3 years ago
12

How to solve this please help!!

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
Mary is incorrect. Perimeter is not proportional to area. An example which you can use is garden A is an 8 by 1 rectangle. The perimeter is 18 while the area is 8. Graden B is a 4 by 4 square. The perimeter is 16 (less than garden A) while the area is 16 (two times more than garden B). 
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Vertical line through (-9,3)
Annette [7]
The answer to this is -9
3 0
3 years ago
55. (a) If alpha and beta are the roots of the equation xsquare+ px+q=0 and beta>alpha find the square of the
densk [106]

Answer:

√(p²-4q)

Step-by-step explanation:

Using the Quadratic Formula, we can say that

x = ( -p ± √(p²-4(1)(q))) / 2(1)  with the 1 representing the coefficient of x². Simplifying, we get

x = ( -p ± √(p²-4q)) / 2

The roots of the function are therefore at

x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus

( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)

= 0 + 2 √(p²-4q)/2

= √(p²-4q)

7 0
3 years ago
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t
erastova [34]

Answer:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0
3 years ago
A 90° angle is divided into 2 angles.
Lemur [1.5K]

Answer:

this angle's sum is 90°

(3x+40)°+(4x-6)=90°

7x+34=90°

7x=90-34

7x=56

x=56/7

x=8

3x+40 = 3×8+40 = 64°

4x-6 = 4×8-6 = 26°

8 0
2 years ago
What is 4÷7 please help me
aleksandrvk [35]

Answer:

4÷7 is  0.571428571428571

= 0.57

Step-by-step explanation:

Hope this helps!!!

6 0
3 years ago
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