Answer:

Step-by-step explanation:
To find the values of
for which, the value of
belongs to
,we solve the inequality;

We multiply through by 8 to obtain;

We subtract 3 to get

Divide through by -1 to obtain;

Or

Answer:
a. 78.6 square feet
b. $7.86
Step-by-step explanation:
a. This simply asks us to calculate the area of the 10 feet diameter pool
Formula for area of circle is ;
pi * r^2 = pi * d^2/4
so Area = 22/7 * 10^2/4 = 78.60 square feet
b. This will be the area of the blanket multiplied by the price per square foot of the blanket
Mathematically, we have that as;
78.60 * 0.1 = $7.86
4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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Answer:
h(3)=-6
Step-by-step explanation:
sub 3 into all the positions which variable X is present



Answer: 0.2743
Step-by-step explanation:
Let X be a random variable that represents the weight of bags of grasecks chocolate candoes.
X that follows normal distribution with, Mean = 4.3 ounces, Standard devaition = 0.05 ounces
The probability that a bag of these chocolate candies weighs less than 4.27 ounces :

Hence, the required probability = 0.2743