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Mama L [17]
3 years ago
11

A rectangle is dilated by a factor of 4. Each point in the image is __________ from the origin as its corresponding pre-image po

int.
A.eight times further
B.four times further
C.four times closer
D.eight times closer
Mathematics
2 answers:
ycow [4]3 years ago
5 0

Answer:

four times further, because the scale factor is 4

LiRa [457]3 years ago
4 0
A eight times further is what i believe is right
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PLZ HELP ME! Whoever gets it right will be marked brainiest
Brut [27]

Answer:

Probability that Hannah only has to buy 3 or less boxes before getting a prize is 0.784

Step-by-step explanation:

Given, 40% of cereal boxes contain a prize

⇒probability of getting a prize on opening a box, P(A)=0.4

where A is the event of getting a prize on opening a cereal box

and probability of not getting a prize on opening a box, P(A')=1-P(A)=0.6

where A' is the event of not getting a prize on opening a cereal box

This problem needs to be divided into 3 situation:

  • Case 1, Where Hannah gets prize when she buys the first box:

Let K be the event of Hannah winning the prize on buying the first box.

⇒P(K)=P(A)=0.4

  • Case 2, Where Hannah gets prize when she buys the second box:

I<u>n this event Hannah should not get the prize in first box but should get the prize on buying the second box</u>

Let L be the event of Hannah winning the prize on buying the second box

So, P(L)=P(A')·P(A)

           =(0.6)·(0.4)

           =0.24

  • Case 3,Where Hannah gets prize when she buys the third box:

<u>In this event Hannah should not get the prize in first and second box but should get the prize on buying the third box</u>

Let L be the event of Hannah winning the prize on buying the third box

So, P(L)=P(A')·P(A')·P(A)

           =(0.6)·(0.6)·(0.4)

           =0.144

Let N be the event of Hannah winning the prize on buying 3 or less boxes before getting a prize

⇒N=K∪L∪M

Now, Required probability is P(N)=P(K∪L∪M)=P(K)+P(L)+P(M) [As events K,L and M are independent and disjoint events]

⇒P(N)=0.4+0.24+0.144

         =0.784

7 0
3 years ago
Someone please help​
Lady_Fox [76]

Answer:A

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
neonofarm [45]

Answer:

(a)h(t)=\frac{1.3t^2}{2} + 2t +17

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

\frac{dh}{dt} = 1.3t + 2

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $  C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm

The Shrubs are 62.85cm tall when they are sold.

4 0
3 years ago
Find the area of this circle. Use 3.14 to approximate Pi
bekas [8.4K]

\pi {r}^{2} \\  \:  \:  \:  \:  \:  \:  = 3.14 \times 13 {cm}^{2}  \\  = 530.66 {cm}^{2}

6 0
2 years ago
Which triangle must be a right triangle and why?
Lapatulllka [165]
Of your answers, the first one is correct. There are two right triangles in the graph, ABC and A'B'C'. However, only A'B'C' is listed.
8 0
3 years ago
Read 2 more answers
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