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irakobra [83]
3 years ago
12

What would be the point for B' after a dilation using a scale factor of 2.5?

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Answer:

Coordinates of B' → (7.5, 35.5)

Step-by-step explanation:

Rule for the dilation of a point with a scale factor 'k' about the origin,

(x, y) → (kx, ky)

By this rule coordinates of the image point B' when scaled by a scale factor of 2.5,

B(3, 15) → B'(2.5 × 3, 2.5 × 15)

            → B'(7.5, 37.5)

Therefore, coordinates of point B' → (7.5, 35.5)

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Find the number of degrees in the third angle of the triangle.
emmasim [6.3K]

Answer:

46

Step-by-step explanation:

92 + 42 + 46=180

3 0
3 years ago
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iIsabelle is mixing red paint with blue paint to make purple paint.she ads 3/10 of a fluid ounce of red to 11/16 fluid ounces of
Wewaii [24]

Question says that Isabelle is mixing red paint with blue paint to make purple paint.

She adds 3/10 of a fluid ounce of red to 11/16 fluid ounces of purple.

Now we need to find about how many fluid ounces of red will she need to make 3 fluid ounces of purple paint.

So let we need x fluid ounces of red color paint.

To find that we can setup ratio between quantity of red and pruple colour paints.

\frac{Red}{Purple}=\frac{\left(\frac{3}{10}\right)}{\left(\frac{11}{16}\right)}=\frac{x}{3}

\frac{\left(\frac{3}{10}\right)}{\left(\frac{11}{16}\right)}=\frac{x}{3}

\left(\frac{3}{10}\right)\cdot\left(\frac{16}{11}\right)=\frac{x}{3}

\frac{48}{110}=\frac{x}{3}

\frac{48}{110}\cdot3=x

\frac{72}{55}=x

Hence final answer is \frac{72}{55} fluid ounce of red colour.

4 0
3 years ago
Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather app
Sunny_sXe [5.5K]

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

   The  population mean is  less than  1.5

   The sample size is  n  =  7

   The sample data is   2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as  

     \=  x =  \frac{ \sum x_i }{ n }

=>  \=  x =  \frac{ 2 +  0 +  1 +  5 +  0 +  2 +   3 }{ 7 }

=>  \=  x =  1.857

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }

=>   \sigma  =  \sqrt{\frac{ (2 -   1.857)^2 +  (0 -   1.857)^2 +\cdots  (3 -   1.857)^2}{7} }

=>   \sigma  =  1.773

The null hypothesis is  H_o :  \mu  =  1.5

The alternative hypothesis is H_a  :  \mu  < 1.5

Generally the test statistics is mathematically represented as

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

=>   z  =  \frac{\= x  - 1.857 }{ \frac{1.773 }{\sqrt{7} } }  

=>z =  0.53

Generally the p-value is mathematically represented as

      p-value  =  P(z  < 0.53 )

From the z-table  

        P(z  <  0.53 ) =  0.70194

So

       p-value  =  0.70194

From the values obtained we see that p-value  >  0.05  

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

7 0
3 years ago
I need some help plz
True [87]

Answer:

i can't see the equation because of light pleas take again another pic

4 0
3 years ago
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Simplify the expression -7(-10-6)+1v+10v
ollegr [7]

Answer:

+112 +11v

Step-by-step explanation:

-7(-10-6)+1v+10v =

(-10-6) = -16

-7(-16) +1v +10v =

+112 +1v +10v =

+112 +11v

8 0
4 years ago
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