Answer:
7/3
Step-by-step explanation:
because (x,y) is the coordinates , 3/2 is y
y = 3/2
plug in y
x * 4 * 3/2 = 14
solve
x*6 =14
simplify
x= 14/6 = 7/3
Answer:
P(-1 < z < 1) = 0.3174
Step-by-step explanation:
Mean (μ) = 1.62 ounces
Standard Deviation (σ) = 0.05
No of balls (sample size n) = 100
X = weight of a ball
Weight of a group of 100 balls must lie in the range 162 ± 0.5 ounces i.e. weight of a single ball will be 162/100 ± 0.5/100 ounces = 1.62 ± 0.005 ounces.
So, we need to find the probability P (1.615 < X < 1.625). We will use the central limit theorem.
z = (Χ' - μ)/(σ/
)
P (1.615 < X < 1.625) = (
< (Χ - μ)/(σ/
) <
)
= (-1 < z < 1)
We need to find the probability of P (-1 < z < 1) by looking at the Normal Distribution Probability Table.
In order to make our working simpler, we need to break P (-1 < z < 1) into two parts: P(z < 1) and P(z > -1)
The probability for areas under the normal curve are given for P(z>X) so we can directly find the probability of P (z > -1) by referring to the normal probability table.
P(z > -1) = 0.1587
We can calculate P(z < 1) by subtracting P(z >1) from the total probability (i.e. 1). P(z >1) can be obtained from the normal probability table.
P(z < 1) = 1 - 0.8413 = 0.1587
By adding the two probabilities together, we get:
P(-1 < z < 1) = P(z < 1) + P (z > -1)
= 0.1587 + 0.1587
P(-1 < z < 1) = 0.3174
So its going to equal a fraction.
To convert let x equal the repeating decimal (0.1515... it would usually have a line on top of it but I cant type it)
Then examine the number see what place it is in then add another place (in this case it is in the 10000ths place) so multiply it but 10000x
so it would look like: 10000x = 0.1515
then you will move the decimal in to a whole numbers place (0.1515 to 1515.1515
then subtract the decimal 1515.1515- .1515= 1515.
dont forget to subtract from both sides so subtract the 10000x too. (999.515)
then write as fraction form 1515/9999
Answer:
7.75
Step-by-step explanation:
You group like terms from the inequality above ie by making the x value stands alone and you can only do this by sending 14 to the left side of the inequality and 4x to the right side. This becomes 45-14 < 4x and that gives you 31 < 4x. Then you divide both side by the number attached to the variable 'x' ie 4. So 31/4 < 4x/4 making x > 31/4 which is 7.75
There's not enough information to solve this.