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stira [4]
3 years ago
15

Triangle ACB is the pre-image and triangle DFE is the image. What is the scale factor of the dilation?

Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

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The Magazine Mass Marketing Company has received 10 entries in its latest sweepstakes. They know that the probability of receivi
Serjik [45]

Answer:

P(X>4)= 0.624

Step-by-step explanation:

Given that

n = 10

p= 0.5 ,q= 1 - p = 0.5

Two fifth of 10 = 2/5 x 10 =4

It means that we have to find probability P(X>4).

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

We know that

P(X=x)=(_{x}^{n})\ p^xq^{n-x}

P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009

P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097

P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043

P(X=3)=(_{3}^{10})\ 0.5^3\ 0.5^{7}=0.117  

P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205

P(X>4)= 0.624

8 0
3 years ago
Read 2 more answers
Show work for 3,220 ÷ 4
gavmur [86]
Step 1: <span>Set up the long division.
 
  _______
4| 3 2 2 0

Step 2: </span><span>Calculate 32 ÷ 4, which is 8.
       
</span>  __ 8____
4| 3 2 2 0
    3 2

Step 3: Bring down 20, so that 20 is large enough to be divided by 4.

__ 8____
4| 3 2 2 0
    3 2
_________
          2 0

Step 4: Calculate<span> 20 ÷ 4, which is 5.
       8 0 5
</span>  ________
4| 3 2 2 0
    3 2
  ________
           2 0
           2 0
          ____

Step 5: Therefore,<span> 3,220 ÷ 4 = 805.

The answer is 805

Done! :)</span>
3 0
3 years ago
Steel prices were $4.30 per foot and increased 10%. What is the new price ?
Artist 52 [7]
The new price is 4.73
8 0
3 years ago
On a recent trip to a local orchard, the Morgan family picked four different kinds of apples - Braeburn, Cortland, Fuji, and Rom
ivanzaharov [21]

Answer:

Morgan family picked 144 Braeburn apples, 96 Cortland apples, 72 Fuji apples and 48 Rome apples.

Step-by-step explanation:

Let B, C, F and R represent Braeburn apples, Cortland apples, Fuji apples, and Rome apples respectively.

We have been given that Morgan family picked a total of 360 apples. We can represent this information in an equation as:

B+C+F+R=360...(1)

We are told that Morgan family picked twice as many Braeburn as Fuji. We can represent this information in an equation as:

B=2F...(2)

We are told that Morgan family picked twice as many Cortland as Rome, that is:

C=2R...(3)

We are told that Morgan family picked 50% more Fuji than Rome, that is:

F=1.5R...(4)

Upon substituting equation (4) in equation (2), we will get:

B=2(1.5)R

B=3R

Now, each apple in in terms of Rome apples, so we will get:

3R+2R+1.5R+R=360

Let us solve for R.

7.5R=360

\frac{7.5R}{7.5}=\frac{360}{7.5}

R=48

Therefore, Morgan family picked 48 Rome apples.

Upon substituting R=48 in (3), we will get:

C=2R\Rightarrow 2(48)=96

Therefore, Morgan family picked 96 Cortland apples.

Upon substituting R=48 in (4), we will get:

F=1.5R\Rightarrow 1.5(48)=72

Therefore, Morgan family picked 72 Fuji apples.

Upon substituting F=72 in (2), we will get:

B=2F\Rightarrow 2(72)=144

Therefore, Morgan family picked 144 Braeburn apples.

3 0
3 years ago
7x to the second power - x=6 find the solution set
Dahasolnce [82]
7x^2 - x = 6
7x^2 - x - 6 = 0
(7x + 6 )(x - 1) = 0
7x + 6 = 0; x = -6/7
x - 1 = 0; x = 1

answer
x = -6/7; x = 1
7 0
3 years ago
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