Round the decimal number to the nearest tenth: 285.429

Answers

Answer 1
Answer: the decimal rounded to the nearest tenth is 285.43.


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Find the value of x in circle O.

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i think you forgot to post the picture of circle O

What is the slope of the line 6x-2y=15?

a) -7.5
b) -3
c) 2.5
d) 3

Answers

What is the slope of the line 6x-2y=15?
 Rewrite the equation in the y = mx + b form
-2y = -6x+15
y = 3x + 15

m represents the slope.
So,
m = 3
the slope is m=3 in this case

A fruit salad is made from pineapples, pears, and peaches mixed in the ratio of 2 to 3 to 5, respectively, by weight. What fraction of the mixture by weight is pineapple? Can you explain this so I can understand how it works?

Answers

2/10, is it that because you need to find how much fruit in total to calculate for the fraction, so 2+3+5= 10 so 10 will be you're bottom number. Then you need to look at how many pineapple there are to then make the fraction 2/10 because there are 2 pineapples out of the 10 fruits. Hope that helps!!

0.55 rounded to the nearest tenth

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0.60 because if the number of the right it’s 5 or more you change the number of the left and all the numbers to the right change to #0

A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is –2 standard deviations away from the mean.

Answers

45+8.3 = 53.3 

45 - (2(8.3)) = 28.4

The value is 
 28.4 that is –2 standard deviations away from the mean.

Answer: 28.4

Step-by-step explanation:

Given : A set of data with a mean of \mu= 45and a standard deviation of  \sigma=8.3 is normally distributed.

Now, the value that is –2 standard deviations away from the mean is given by :-

x=\mu-2\sigma\n\n\Rightrrrow\ x=45-2(8.3)\n\n\Rightarrow\ x=45-16.6\n\n\Rightrrrow\ x=28.4

Hence, the value that is –2 standard deviations away from the mean. = 28.4

Write the vertex form equation for this parabola: Focus (3,-9), Directrix X=-3

Answers

Y=KX+M
-9=(-3/9)*-3+m
-9=1+M
M=-10

Y=(-3/9)-10 is the answer