Answer:
Step-by-step explanation:
The mean, , is 90 and the standard deviation, , is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
and we fill in accordingly:
which simplifies to
and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914
R= c/2pi
Swap the sides of the equation
Divide both sides of the equation by 2pi
Write the solution in parametric form
hey! do you have a photo and what subject is this? like i know it's math obviously but i mean like the topic you're doing.
A simple algebraic equation can be utilized to solve this question. Ayana needs yards of blue fabric for each scarf.
Step-by-step explanation:
Step 1; Assume the amount of purple fabric to be x for each scarf and the amount of blue fabric required for each scarf to be y. It says a total of six scarves are needed. It is given that a total of 10 yards of fabric is used i.e. the total of purple fabric and the blue fabric. So we can create an equation for this. As 6 scarves are needed we substitute x and y as 6x and 6y.
Total fabric used= 6x + 6y = 10 yards.
Step 2; It is given that for each and every scarf 1 yards of purple fabric is needed. So for 6 scarves a total of 6 * 1 yards is needed. So 6x becomes 6 * 1 yards.
6x = 6 * 1 yards = 6 * = yards of purple fabric.
Step 3; Now we solve for the amount of blue fabric needed.
6y = 10 - = =
But the yards is for 6 scarves to we divide it by 6 to get the material needed for a single scarf
y = /6 = * = = yards = 0.4166 yards of blue fabric for each scarf.
I believe the answer is 24 : 1