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yan [13]
3 years ago
10

A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos

Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answer:

s={apple, orange, banana, pear, peach, plum, mango} (option A)

Step-by-step explanation:

The sample space of an experiment is the set of all possible outcomes of that experiment.

The sample space is essential in finding the probability of an event associated with a random experiment.

In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.

Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)

Where s = sample space

Though peach was omitted in the set in option A by mistake, the correct answer:

s={apple, orange, banana, pear, peach, plum, mango}

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F
anygoal [31]

Answer:

The equation of circle is (x-8)^2+(y-4)^2=5

(D) is correct option.

Step-by-step explanation:

Given that,

Points (6,5), (7,2), (9,6) and (10,3) are vertices of an inscribed square.

We need to calculate the distance between (7,2) and (9,6)

Using formula of distance

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Put the value into the formula

d^2=(9-7)^2+(6-2)^2

d^2=20\ m

The radius will be

r^2=\dfrac{20}{4}

r^2=5

We need to calculate the center of the point (7,2) and (9,6)

Using formula of center point

For x axis,

h=\dfrac{x_{2}+x_{1}}{2}

Put the value into the formula

h=\dfrac{9+7}{2}

h=\dfrac{16}{2}

h=8

For y axis,

k=\dfrac{y_{2}+y_{1}}{2}

Put the value into the formula

k=\dfrac{6+2}{2}

k=\dfrac{8}{2}

k=4

We need to find the equation for the circle

Using formula of equation of circle

(x-h)^2+(y-k)^2=r^2

Put the value into the formula

(x-8)^2+(y-4)^2=5

Hence, The equation of circle is (x-8)^2+(y-4)^2=5

(D) is correct option.

8 0
2 years ago
Please help and show work if their is . #32
LenaWriter [7]
They're similar, so each length will be divisible by the same number

DF is 24 cm
AC is 16 cm

24/16 = 1.5

this means that you would be able to multiply each number on the smaller triangle by 1.5 or divide each number on the bigger triangle by 1.5 to get the number of the other triangle

since BA is 12 cm
ED will be 12 * 1.5

12 * 1.5 = 18

ED is 18 cm, which is B
4 0
3 years ago
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