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melisa1 [442]
3 years ago
5

Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that parti

tions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
5 0

Answer:

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

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lutik1710 [3]
The answer would be D

8 0
3 years ago
From a sample of 37 graduate​ students, the mean number of months of work experience prior to entering an MBA program was 35.15.
kiruha [24]

Answer: (29.35, 40.95)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

As per given , we have

\overline{x}=35.15

\sigma=18

n= 37

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, the confidence interval for the population mean will be :

35.15\pm (1.96)\dfrac{18}{\sqrt{37}}

=35.15\pm (1.96)\dfrac{1.7}{6.08276}

=35.15\pm (1.96)(2.95918)

\approx35.15\pm5.80

=(35.15-5.80,\ 35.15+5.80)=(29.35,\ 40.95)

Hence, a 95​% confidence interval for the population​ mean = (29.35, 40.95)

8 0
3 years ago
A bag contains the following marbles: 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles. What is the ratio
Diano4ka-milaya [45]

Answer:

14/8 or 14:8

Step-by-step explanation:

blue:brown=14:8

3 0
3 years ago
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected q
Zina [86]

Solution :

From the figure,

The coordinates of --

A = (-5,-3)

B = (-6,-1)

C = (-3,-1)  

D = (-2,-3)

When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as

A' = (-5,+3)

B' = (-6,+1)

C' = (-3,+1)

D' = (-2,+3)

Now A'B'C'D' is translated 3 units to right, so the coordinates will be --

A" = (-2,3)

B" = (-3,1)

C" = (0,1)

D" = (1,3)

When the quadrilateral moves third and two units up, we get

A"' = (3,3)

B"' = (2,1)

C"' = (5,1)

D"' = (6,3)

3 0
3 years ago
F(x)=x^2 +10 Over which interval does f have a positive average rate of change?
EastWind [94]

Answer:

No x-intercept/Zero

Step-by-step explanation:

Substitute f (x)=0

Solve the equation

There is no x-intercept/zero

5 0
3 years ago
Read 2 more answers
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