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lozanna [386]
2 years ago
6

Tony made 2 fruit pies. After his family ate some of each pie, 13 of one pie remained and 56 of the other pie remained. About ho

w much pie is remaining?
Mathematics
1 answer:
omeli [17]2 years ago
4 0

Answer:

<h2>There remains 7/6 of pie.</h2>

Step-by-step explanation:

Givens

The remaining parts are 1/3 of one pie and 5/6 of the other pie.

To find how much pie is remaining, we just need to sum those fractions.

\frac{1}{3}+\frac{5}{6}=\frac{6+15}{18} =\frac{21}{18} =\frac{7}{6}

Therefore, there remains 7/6 of pie. They ate just 1/6.

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In a car lot, the ratio of the number of new cars to the number of pre owned cars is 6 to 5. The total number of new and preowne
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Answer:

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Step-by-step explanation:

8 0
2 years ago
Suppose that you bet $5 on each of a sequence of 50 independent fair games. Use the central limit theorem to approximate the pro
amm1812

Answer:

chances chances of happening = 0.0119

Step-by-step explanation:

given data

bet =  $5

independent fair games = 50

solution

we will think game as the normal distribution

so here  mean is will be

mean = \frac{50}{2}

mean = 25

and standard deviation will be

standard deviation = \sqrt{50*0.5*0.5}

standard deviation = 3.536

so

we have to lose 33 out of 50 time for lose more than $75

so as chance of doing things z score is

z score = \frac{33-25}{3.536}

z score  = 2.26

so from z table

chances chances of this happening = 0.0119

8 0
2 years ago
Line segment ON is perpendicular to line segment ML, and PN = 10.
Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

MO=OL=radius\ of\ circle=25\ units

ON=25\ units

ON=OP+PN\\ 25=OP+10\\ OP=25-10\\ OP=15\ units

Find the base MP

Applying the Pythagorean Theorem in the right triangle MPO

MO^{2} =MP^{2}+PO^{2}\\ MP^{2}=MO^{2}-PO^{2}\\ MP^{2}=25^{2}-15^{2}\\ MP^{2}=400\\ MP=20\ units

ML=2*MP\\ ML=2*20\\ ML=40\ units

Find the area of triangle MOL

A=\frac{1}{2}ML*PO\\ \\ A=\frac{1}{2}*40*15\\ \\ A=300\ unit^{2}

therefore

the answer is

the area of triangle MOL is

300 square units

3 0
2 years ago
Read 2 more answers
The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the h
xxTIMURxx [149]

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

5 0
2 years ago
Read 2 more answers
Complete the square to rewrite y = x2 - 6x + 15 in vertex form. Then state
love history [14]

Since x^2 is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.

So, if we think of 15 as 9+6, we have

x^2-6x+9+6 = (x-3)^2+6

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).

Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.

5 0
2 years ago
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