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To find the answer you have to first find how many degrees are there in between each number in the clock. the clock is 360°degrees and there are 12 numbers marked in a clock., so you have to divide 360 by 12 to get the number of degrees in between each number,
360°÷12=30° so there are 30°degrees between each number.
if a clock hand moves from 12 to 5, it pass 5 numbers, so to get your final answer you have to multiply 30° by 5=150°.
so your answer is 150°degrees.
hope you can understand what i said. :)
Answer:
0.5798 or 57.98%
Step-by-step explanation:
The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).
Therefore, the probability that two particular people A and B will be on the same team is:
![P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B_%7B33%7DC_8%2B_%7B33%7DC_%7B10%7D%7D%7B_%7B35%7DC_%7B10%7D%7D%20%5C%5C%5C%5CP%3D%5Cfrac%7B%5Cfrac%7B33%21%7D%7B%2833-8%29%218%21%7D%2B%5Cfrac%7B33%21%7D%7B%2833-10%29%2110%21%7D%20%7D%7B%5Cfrac%7B35%21%7D%7B%2835-10%29%2110%21%7D%7D%20%5C%5C%5C%5CP%3D%5Cfrac%7B69%7D%7B119%7D%20%3D%200.5798)
The probability is 0.5798 or 57.98%.
The correct answer is B. y=-3x+4
Answer:
The mean of W is 55 ounces.
The standard deviation of W is 4.33 ounces.
Step-by-step explanation:
Let X: weight of a red delicious apple, and B: the weight of the box and packing material.
The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.
Applying the property of the mean:
, the mean of W will be:
![\mu_W=E(W)=E(5X+B)=5E(X)+E(B)=5*9+10=45+10=55](https://tex.z-dn.net/?f=%5Cmu_W%3DE%28W%29%3DE%285X%2BB%29%3D5E%28X%29%2BE%28B%29%3D5%2A9%2B10%3D45%2B10%3D55)
Applying the property of the variance:
, the variance of W will be:
![\sigma^2_W=V(W)=V(5X+B)=5^2V(X)+V(B)=25*0.75+0=18.75](https://tex.z-dn.net/?f=%5Csigma%5E2_W%3DV%28W%29%3DV%285X%2BB%29%3D5%5E2V%28X%29%2BV%28B%29%3D25%2A0.75%2B0%3D18.75)
The mean standard deviation of W will be the squared root of V(W):
![\sigma_W=\sqrt{V(W)}=\sqrt{18.75}=4.33](https://tex.z-dn.net/?f=%5Csigma_W%3D%5Csqrt%7BV%28W%29%7D%3D%5Csqrt%7B18.75%7D%3D4.33)
The mean of W is 55 ounces.
The standard deviation of W is 4.33 ounces.