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Nikitich [7]
2 years ago
8

Sometimes a dilation is an enlargement, and sometimes it is a reduction. Explain what types of numbers for scale factors causes

each.
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
4 0
If your scale factor has absolute value greater than 1, the dilation is an enlargement. 
<span>If your scale factor has abs value less than 1, the dilation is a reduction. </span>
<span>If the scale factor is equal to 1, the image is congruent to the preimage. 
</span>
Hope this helps.
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The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th
ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

z=\frac{x-\mu}{\sigma}

z=\frac{38-38}{6}=\frac{0}{6}=0

Now we will find z-score corresponding to 56.

z=\frac{56-38}{6}=\frac{18}{6}=3

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is -3\sigma\text{ to }3\sigma.

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

\frac{99.7\%}{2}=49.85\%

Therefore, approximately 49.85\% of lightbulb replacement requests numbering between 38 and 56.

6 0
3 years ago
A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet
vivado [14]

Answer:

37.68

i took the test hope this helped

4 0
2 years ago
Solve this equation, <br> -13m=-377
lozanna [386]
-13m = -377
m= -377/-13
m=29
the negatives cancel out. so just do 377/13 which equals 29
5 0
2 years ago
Evaluate the expression for f = -6 and g = -1.<br> fg - f =
Arlecino [84]

Answer:

7

Step-by-step explanation:

Given the information from the question:

fg - f = f \times g - f

Next we can use the order of operations to find the value of the expression.

fg - f =  - 6 \times  - 1 - ( - 1) \\  =  6 - ( - 1) \\  = 6 + 1 \\  = 7

5 0
1 year ago
John is giving out chocolate to his friends.if he want to give each friend 2/3 of chocolate bar and he has 13 friends,how many c
Nikolay [14]
Multiply 13x2/3 and you should get 8.6
6 0
2 years ago
Read 2 more answers
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