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leonid [27]
2 years ago
13

Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about the coi

n landing heads up in Mai’s experiment is correct?
Mathematics
2 answers:
Elodia [21]2 years ago
6 0

Answer:

11/20 and 1/2

Step-by-step explanation:

Alexandra [31]2 years ago
4 0
The experimental probability of the coin landing heads up is 110/200 = 11/20.
The theoretical probability is 1/2
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a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can
Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

1\frac{1}{4} cups of milk make 10 servings

1\frac{1}{4} can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128

Hence,

128 servings can be made using 1 gallon of milk.

3 0
2 years ago
Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
2 years ago
Read 2 more answers
Angle A and B are supplementary. Angle a has a measure of 80. What is the measure of angle B? The measure of angle B is
ololo11 [35]
Well when two angles are supplementary they equal 180.
So if angle A is 80 degrees then that would mean that angle B equals 100 degrees. 


Hope This Helped :) 



4 0
2 years ago
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y). The image is shown in the diagram. What are the coordin
yaroslaw [1]

I was able to find the image associated with this question, in which the coordinates of point Z are given as (-2,-1).

We know that the coordinates of a point are multiplied by the scale factor to give the new coordinates. Since these coordinates result after the dilation, we divide them by the scale factor to obtain the original coordinates as such:

-2/0.25 , -1/0.25

(-8 , -4)



8 0
2 years ago
Read 2 more answers
Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result
shtirl [24]

Answer:

Max is correct

Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.

If one reflects a figure first across the x-axis from quadrant II then reflects across the y-axis from quadrant III, the image will end up in quadrant IV.

Step-by-step explanation

took the test on edge hope this helps

7 0
2 years ago
Read 2 more answers
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