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Eddi Din [679]
3 years ago
13

Tiffany sees this given dilation and claims that the scale factor is 2

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

The scale factor is not 2

Step-by-step explanation:

Given

See attachment for the dilated triangles

Triangle ABC is dilated through center point O to form triangle A'B'C'.

From the attachment, we have:

OC = 2 i.e. the distance from the center point to C

and

OC' = 6 i.e. the distance from the center point to C'

The length of OC' is calculated using:

OC' = OC + CC'

OC' = 2 + 4

OC' = 6

The scale factor (k) is then calculated by dividing OC' by OC

k = \frac{OC'}{OC}

k = \frac{6}{2}

k = 3

Hence, Tiffany's claim is incorrect.

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Consider a binomial distribution of 200 trials with expected value 80 and standard deviation of about 6.9. Use the criterion tha
mote1985 [20]

Answer:

The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.

Step-by-step explanation:

For an exponential distribution we have

The expected value μ = 80

No of trails n = 200

Thus we have

p=\frac{80}{200}=0.4

The deviation is related to expected value and probability as

\sigma =\sqrt{np(1-p)}\\\\\therefore \sigma =\sqrt{200\cdot 0.4\cdot (1-0.4)}=6.9

Thus the values between the given deviation is

x_{1}=80-2.5\times 6.9=62.75\\\\x_{2}=80+6.9\times 2.5=97.25

Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.

5 0
3 years ago
For every 144 light bulbs produced, 6 are defective. Find the number of defective light bulbs that could be expected out of 720.
Lelu [443]
You are going to get the rate of the detects.
6 detects ÷ 114 light bulbs = 1/19 detects per light bulb

If there are 720 light bulbs, then the number of detects will be
720 light bulbs * 1/19 detects per light bulb = 37. 89 ≈ 38 detects
7 0
3 years ago
Read 2 more answers
7 more than the quantity 3 times 2
Zolol [24]

Answer:

13

Step-by-step explanation:

(3 times 2)+7=x

6+7=x

x=13

5 0
3 years ago
What is the solution to the equation 4w=2/3?
nikdorinn [45]

Answer:

2/12

Step-by-step explanation:

4w=2/3

1/4(4w)=1/4 x 2/3

w=2/12

6 0
3 years ago
Help me solve for U please help
Maurinko [17]
U + 4/5 = 2 and 1/3

Subtract 4/5 from each side of the equation:

U = (2 and 1/3) - (4/5)

Now it's just problem in plain old adding and subtracting fractions,
just like the ones you've done many times before.

First let's change (2 and 1/3) to a fraction:    2 and 1/3  =  7/3

So you have to find the value of  (7/3) - (4/5) .

In order to add or subtract fractions, they need to have a common denominator.
The least common multiple of 3 and 5 is 15, so that's a good choice.

7/3 = 35/15
4/5 = 12/15

Now the problem is:     (35/15) - (12/15).  

That's 23/15 . . . . . the same thing as <u>1 and 8/15</u> .  

That's the value of ' U '.  What an ugly number !
8 0
3 years ago
Read 2 more answers
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