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algol [13]
2 years ago
11

1/2(10p-7q) if p=9 and q=2

Mathematics
1 answer:
Gala2k [10]2 years ago
3 0

Answer:

38

Step-by-step explanation:

1/2(10p-7q)

1/2(10(9)-7(2))

1/2(90-14)

1/2(76)

76/2

38

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PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE. ​
Korolek [52]

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

5 0
3 years ago
HELP AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
diamong [38]

Answer:

3x+12y+4 -- is the simplified version, variables would be x and y

5 0
3 years ago
Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of
navik [9.2K]

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < \hat{p} < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

Where:

x = 33

n = 136

\hat{p} = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}

Which gives;

0.17059 < \hat{p} < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < \hat{p} < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

4 0
3 years ago
The slope of AB is 3 over 4 and point A is (2. 9). How many possible locations are there for point
nignag [31]

Answer:

Part 1) There are infinity locations for the point B

Part 2) see the explanation

Step-by-step explanation:

Part 1) How many possible locations are there for point  B?

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

where

m=\frac{3}{4}

(x1,y1)=(2,9)

substitute

y-9=\frac{3}{4}(x-2)

Convert to slope intercept form

y-9=\frac{3}{4}x-\frac{6}{4}

y=\frac{3}{4}x-\frac{6}{4}+9

y=\frac{3}{4}x+\frac{30}{4}

y=0.75x+7.5

Point B can be any point ( different from point A) that satisfies the linear equation

therefore

There are infinity locations for the point B

Part 2) Describes a method to location the point

To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate

Example

Suppose that the x-coordinate of point B is 4

For x=4

substitute in the linear equation

y=0.75(4)+7.5=10.5

so

The coordinates of point B is (4,10.5)

3 0
3 years ago
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Inga [223]
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
8 0
3 years ago
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