Step-by-step explanation & answer:
When a dilation in the coordinate plane has the origin as the center of dilation, we can find points on the dilated image by multiplying the x and y coordinates of the original figure by the scale factor.
For example, if the scale factor is "k", the algebraic representation of the dilation is
(x, y) → (kx, ky)
For enlargements, k > 1 and for reductions, k < 1.
Hope this is what you needed:)
9514 1404 393
Answer:
- shortest: 11 1/8 in
- longest: 11 3/8 in
Step-by-step explanation:
It should be no surprise that the shortest allowable length is the nominal length less the full allowed tolerance:
11 1/4 - 1/8 = 11 1/8 . . . inches
__
Likewise, the longest allowable length is the nominal length plus the maximum tolerance:
11 1/4 + 1/8 = 11 3/8 . . . inches
_____
Of course, you know that 1/4 = 2/8, so adding or subtracting 1/8 gives the fractions shown above.
Y = x + 3/4
x = y - 3/4
swap the variables:-
y = x - 3/4 (answer). Its a.
Answer:
.b. It is one‐half as large as when n = 100.
Step-by-step explanation:
Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.
i.e. s = 0.3
we obtain se of sample by dividing std devitation by the square root of sample size
i.e. s= 
when n =100 this = 0.3 and
when n =400 this equals 0.15
We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original
Correction option is
.b. It is one‐half as large as when n = 100.
<span>You are given
John Davis’ rate which is $9.75 an hour. It is said that he works for four
hours on Monday, six hours on Tuesday, five hours on Wednesday, five hours on
Thursday, and seven hours on Friday. You are asked to find the gross pay of John
Davis. All you need to do is to multiply the rate to the hour of work.</span>
<span>
Monday: $9.75(4h)
= $39</span>
Tuesday:
$9.75(6h) = $58.5
Wednesday:
$9.75(5h) = $48.75
Thursday:
$9.75(5h) = $48.75
Friday:
$9.75(7h) = $68.25
<span>
To get the
gross pay, add everything and you will get $263.25. The answer is letter D.</span>
