The answer is 5 weeks
40x+15=200
x=4.6 and we round that up to 5 weeks
Answer:
The standard deviation is 
Step-by-step explanation:
The standard deviation of a sampling distribution is the standard error or a valuation of the standard deviation. Where statistic parameter is the mean it is referred to as the standard error of the mean.
The formula for standard deviation of a sampling distribution is as follows;
Where;
= Sample proportion of rabbits with white markings from R
= Sample proportion of rabbits with white markings from S
= Number of from R = 50
= Number of from S = 100
Therefore, the standard deviation of the sampling distribution is given as follows;
.
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
5w+9z=2z+3w (-2z)
5w+7z=3w (-2w)
3w+7z=w (-3w)
7z=-2w (divide by -2)
3.5z = w
now replace "w" with that in the equation and you will find Z. When you find Z, W is Z times 3.5
Answer: C. It is the graph of f(x) shrunk horizontally by a factor of 6.
Step-by-step explanation:
When we multiply a function’s input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function.
