Answer:
Victor gives 28 tools to IIya.
Step-by-step explanation:
Consider the provided information
The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2
Let V represents the Victor and I represent llya
Therefore,
It is given that Victor has 42 more tools than Ilya.
Solve the above equation.
Thus, IIya has 28 tools.
Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.
Victor has 70 tools.
We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4
Let Victor gives x tools to IIya. Thus,
Hence, Victor gives 28 tools to IIya.
Answer:63ft
Step-by-step explanation:you have to do a series of steps but for this you just divide and do revers operation and your answer is 63ft
5x + 55 = 2x + 100
3x = 45
x = 15
plug 15 into
5(15) + 55
75 + 55 = 130
130 + angle 2 = 180
angle 2 = 50
Answer:
Step-by-step explanation:
Given that taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.
For a random single taxi std deviation is 2.20
But for a sample of size 10, std deviation would be
This would be less than the 2.20
Because std devition is less for sample we get a big z score for the sample than the single.
As positive values of z increase we find that probability would decrease since normal curve is bell shaped.
So single taxi fare would have higher probability than sample.
B) Here >24.
By the same argument we have z value less for single taxi hence the probability for more than that would be less than that of sample size 10
9514 1404 393
Answer:
- B
- B
- a) f(3y-1) = 24y -17; b) f(-7/4) = -23
Step-by-step explanation:
1. Any mapping requiring segment lengths to be congruent will require a "rigid" transformation, some combination of rotation, reflection, and translation.
If the transformation is not one of those, then segment lengths may change. The transformation we usually study that is not a rigid transformation is <em>dilation</em>. It preserves angles and slopes, but not segment lengths.
Of the choices listed, only choice B does not involve congruent segments.
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2. In line with the discussion above, the dilation will preserve the slope of KM so that it is the same as the slope of K'M'. This is described by choice B.
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3.
a) Finish simplifying the equation already written.
f(3y -1) = 8(3y -1) -9 = 24y -8 -9
f(3y -1) = 24y -17
b) f(x) = -23
8x -9 = -23
8x = -14 . . . . . . add 9
x = -14/8 = -7/4 . . . . divide by 8, reduce the fraction
x = -7/4 = -1.75
