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Mila [183]
3 years ago
12

3

Mathematics
1 answer:
disa [49]3 years ago
5 0

Answer:

21

20.7

20.23

20.22

20.102

20.005

Step-by-step explanation:

hope this helps!

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The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?
fomenos

Given:

The coordinates of point A are (7,4).

It is dilated from the origin by a scale factor r = 3.

To find:

The coordinates of A'.

Solution:

If a figure is dilated from the origin by a scale factor k, then

(x,y)\to (kx,ky)

Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:

(x,y)\to (3x,3y)

Using this rule, we get

A(7,4)\to A'(3(7),3(4))

A(7,4)\to A'(21,12)

Therefore, the coordinates of point A' are (21,12).

6 0
2 years ago
What is the inequality of 0 < a < 6 on a numberline
pickupchik [31]

The given inequality is expressed as

0 < a < 6

This means that the values of a that would satisfy the inequality are numbers between 0 and 6 but both 0 and 6 are not inclusive. This would be shown by not making solid circles at 0 and 6. The number line is shown below

7 0
1 year ago
If a line passes thru the points (4,5) and (2,9) the slope of this line is
Allisa [31]

Answer:

m=-2

Explanation:

If a line passes through the points (4,5) and (2,9): to calculate the slope, use the formula below:

\text{Slope,m}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}

Substituting the points, we have:

\begin{gathered} m=\frac{9-5}{2-4} \\ =\frac{4}{-2} \\ =-2 \end{gathered}

The slope of this line is​ -2.

8 0
1 year ago
If y varies directly as the x^2 and y = 200 when x = 5, what is the value of y when x = -3?
gayaneshka [121]
As the variation is direct we have:
 y = kx ^ 2&#10;
 We must find the value of k.
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 y = 200 when x = 5
 Substituting values we have:
 200 = k5 ^ 2&#10;
 Clearing k:
 k = 200/5 ^ 2&#10;&#10;k = 200/25&#10;&#10;k = 8
 Then, the function is:
 y = 8x ^ 2&#10;
 We evaluate the function for x = -3
 y = 8 (-3) ^ 2&#10;&#10;y = 8 (9)&#10;&#10;y = 72
 Answer:
 the value of y when x = -3 is:
 c.
 
72
6 0
4 years ago
A random sample of 77 fields of corn has a mean yield of 26.226.2 bushels per acre and standard deviation of 2.322.32 bushels pe
PSYCHO15rus [73]

Answer:

Therefore the  95% confidence interval is (25,707.480 < E < 26,744.920)

Step-by-step explanation:

n = 77

mean u = 26,226.2  bushels per acre

standard deviation s = 2,322.32

let E = true mean

let A = test statistic

Find 95% Confidence Interval

so

let  A =  (u - E) *  (\sqrt{n}  / s)   be the test statistic

we want      P( average_l <  A  < average_u )  = 95%

look for  lower 2.5%  and the upper 97.5%  Because I think this is a 2-tail test

average_l =  -1.96  which corresponds to the 2.5%

average_u = 1.96

P(  -1.96  <  A  <  1.96)  =  95%

P(  -1.96  <  (u - E) *  (\sqrt{n}  / s)  <  1.96)  =  95%

Solve for the true mean E ok

E   <   u + 1.96* (s  / \sqrt{n})

from  -1.96  <  (u - E) *  (\sqrt{n}  / s)

E < 26,226.2 +  1.96*( 2,322.32 / \sqrt{77} )

E < 26,226.2 +  1.96*( 2,322.32 / \sqrt{77} )

E < 26,226.2 +  518.7197348105429466

upper bound is 26,744.9197

or

u - 1.96* (s  / \sqrt{n})  < E

26,226.2 -  518.7197348105429466  < E

25,707.48026519  < E

lower bound is 25,707.48026519

Therefore the  95% confidence interval is (25,707.480 < E < 26,744.920)

7 0
3 years ago
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