Two segments that are tangent to a circle from the same external point are of equal length.
9) 2x²=8x
2x²-8x=0
x(2x-8)=0
x=0,
2x-8=0
x=4 can be
2*4²=8*4=32
10) y=y²/7
y²/7- y=0
y(y/7 -1)=0
y=0,
y/7 - 1=0
y/7=1
y=7 can be
y=y²/7= 7
Answer: 6 cups
explanation: she has 1 cup measuring cup and has to fill it 3 times for each loaf 3*2=6
Answer:
x = 68
Step-by-step explanation:
If you divided 90 by 45, you can see that the 1st ratio has been multiplied by 2 to get the second ratio. To get x, simply multiply 34 by 2 and you should get 68
Let's set the first angle as x, the second angle is then 4x, and the third angle is (x+4x)+15, which is 5x+15
the three angles make a sum of 180: x+4x +5x+15=180
10x=165
x=16.5
the second angle is 4x=4*16.5=66
Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):
