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never [62]
3 years ago
8

A stack of cards is numbered 1 through 50 if a student selects a card what is the probability that the student will select a car

d that has both the same number in the ones place in the tens place write the answer in decimal form
Mathematics
1 answer:
maw [93]3 years ago
7 0

Answer:

The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08

Step-by-step explanation:

To solve this exercise we have to know that the probability is calculated by dividing the number of favorable events by the number of possible events.

f = favorable events

we will count how many numbers between 1 and 50 have the same number in the ones place in the tens place

11 ; 22 ; 33 ; 44

as we can see there are 4 numbers

f = 4

p = possible events

the number of possible events is given by the number of cards in the deck

p = 50

4/50 = 0.08

The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08

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What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another
lianna [129]

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

<u>Side-Angle-Side (SAS) theorem: </u>

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

To read more about Angles

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7 0
1 year ago
Thomas brings over 1/2 of his marble collection. He divides these marbles equally among 3 friends. What fraction of Thomas's ent
aleksley [76]

Answer:

Each of the three friends will get one-sixth of the Thomas's enitre marble collection.

Step-by-step explanation:

Fraction of the total marble collection brought by Thomas = \frac{1}{2}

Now, Thomas divides these marbles equally among his three friends. So, each of the three friends will get one-third of the total marble collection brought by Thomas.

Fraction of total marble collection got by each friend = \frac{1}{3} \;of\;fraction\;of\;total\;marble\;collection\;brought\;by\;Thomas

= \frac{1}{3}\times\frac{1}{2}=\frac{1}{6}

∴ Each of the three friends of Thomas will get one-sixth of his entire collection of marbles.

7 0
3 years ago
Factor 48m + 42n to identify the equivalent expressions
Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

<em><u>Solution:</u></em>

Given that, we have to factor the given expression

<em><u>Given expression is:</u></em>

48m + 42n

The equivalent expressions can be found by factoring out the common factors of 48 and 42

<em><u>Let us first find the factors of 48 and 42</u></em>

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

48m + 42n = 2(24m+21n)

Now factor out 3 from given expression

48m + 42n = 3(16m + 14n)

Now factor out 6 from given expression

48m+42n=6(8m + 7n)

Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

7 0
3 years ago
A number decreased by 23 is 44. Find the number.
Irina-Kira [14]
A) can.
because the number (x) has been decreased by 23 and is now 44.

Hope this helps :)
4 0
3 years ago
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What is the area of 4 10 20
Gnoma [55]
Just multiply the base times height times width which would give you 800
5 0
3 years ago
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