Answer:
Step-by-step explanation:
Remember the rule for converting radicals and exponents into fractions. The power is the numerator of the fraction, and the nth root is the denominator of the fraction. Also, remember that dividing by an exponent means the exponent will be negative.
![\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%5E%7B8%7D%20%7D%20%7D%7B%5Csqrt%5B6%5D%7By%5E%7B5%7D%20%7D%20%7D%20%5C%5C%5C%5C%5Cfrac%7Bx%5E%7B%5Cfrac%7B8%7D%7B3%7D%20%7D%20%7D%7By%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D%20%7D%20%5C%5C%5C%5Cx%5E%7B%5Cfrac%7B8%7D%7B3%7D%7Dy%5E%7B-%5Cfrac%7B5%7D%7B6%7D)
Answer:
0.9375
Step-by-step explanation:
Given the following :
Number of coin tosses = 7
Probability that number of heads obtained will be between 2 and 7 inclusive?
x = 2,3,4,5,6,7
Probability (P) = number of required outcomes / total possible outcomes
For a coin toss = 1 Head (H), 1 tail (T)
P(H) = 1 / 2
P(X) = C(7,x) * (1/2)^7
P(X) = C(7, x) / 0.5^-7
P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128
P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128
P(X) = 120 / 128
P(X) = 0.9375
Answer:
64
Step-by-step explanation:
First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.
Answer:
1. figure 4
2. Figure 1
3. Figure 3
Step-by-step explanation:
1. r is the degree of the line or group of dots that makes a line. for r=1, the line is going to be as close to a linear line as possible. the dots will be close together a make either a close or perfect straight line. This is why we pick figure 4, because the points are decently close together and form a positive slope.
2. a linear relationship can be tested by a straight line test, and in this case you pick the figure that fails the test the most. in this case, Figure 1 fits.
3. looking for r=-1 is looking for the opposite of r=1, so since figure 3 is the opposite of figure 4, we know it fits the description
