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lara31 [8.8K]
3 years ago
15

If

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

2112

Step-by-step explanation:

4752÷36= 132

132×16=2112

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Prove that the sum of ab and ba is divisible by the sum of a and b
Likurg_2 [28]

Answer:

It is divisible by 11 and (a + b) !

Step-by-step explanation:

Given a two digit number $ ab $, the digits written in reverse order is $ba $.

Note that a two digit number ab  = 10a + b.

For example: 24 = 10(2) + 4

Similarly, ba = 10(b) + a

Now, the sum of the numbers ab and ba = 10a + b + 10b + a

= 11a + 11b

= 11(a + b)

Hence, the sum of any two digit number ab and the reverse of the number ba,  is divisible by 11 and (a + b).

Hence, proved.

5 0
3 years ago
Can someone help me with this problem
Yuri [45]

Answer:

For this problem, simply substitute x in y=2(3)^x with the given x-values. The resulting coordinates should be (-3,2/27), (-2,2/9), (-1,2/3), (0,2), (1,6), (2,18), and (3,54). Now, you can plot the points, in order to get the exponential graph.

7 0
3 years ago
Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​
balandron [24]

Answer:

k = 5

Step-by-step explanation:

The given line is y = 4x - 14.

The given point is (k, k + 1).

For this point, x = k and y = k + 1.

You substitute these equations into the line's equation to find the value of k.

(x = k)

(y = k + 1)

y = 4x - 14

(k + 1) = 4(k) - 14

Solve for k.

k + 1 = 4k - 14

Subtract k from both sides.

1 = 3k - 14

Add 14 to both sides.

15 = 3k

Divide both sides by 3.

15/3 = k

Simplify.

5 = k

And that's the answer!

Please mark as Brainliest! :)

7 0
3 years ago
Amaya is graphing the inequality x greater-than 11 on a number line. Which statements below describe steps she may take to graph
loris [4]

Answer:

Draw open circle AT 11

Shade all numbers to the right of 11

Step-by-step explanation:

Have a great day!

3 0
3 years ago
Read 2 more answers
HELP AND EXPLAIN
omeli [17]

The relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.

<h3>How to find the relative frequency?</h3>

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). (subgroup being group defined by a row, or a column)

<h3>How to form two-way table?</h3>

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of X_i and Y_j (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

The given two-way frequency table is:

                                        Lake                  Hike                       Total

Children                                                       6

Adults                                 9

Total                                                             14                            38

Total of hike subgroup is 14, out of which children are 6, so adults going for hiking must be 14 - 6 = 8 as adults and children going for hiking together are 14 in counts.

So, we get:
n(Hike ∩ Children) = 8

Thus, the total of subgroup Adults is 9+8=17 = n(Adults)

Total of vertical total columns is: n(Children) + n(Adults) = 38

or, we get: n(Children) = 38 - 17=  21

Since total of children subgroup is:

n(Lake ∩ Children) + n(Hike ∩ Children) = n(Children)

Thus, we get:
n(Lake ∩ Children) + 6 = 21

n(Lake ∩ Children) = 21-6 = 15

Thus, sum of the 'lake' subgroup is:

n(Lake) = n( Lake ∩ Children) + n(Lake ∩ Adults)

n(Lake) = 15 + 9 = 24

Thus, the completed two-way table is:

                                        Lake                  Hike                       Total

Children                             15                        6                             21

Adults                                 9                         8                             17

Total                                   24                       14                            38

Now, we've to find what does 15/24 represents.

The division is done by 24, which is the total of "lake" subgroup.

And in that lake subgroup, we have:

n(Lake ∩ Children) = 15

Thus, 15/24 is the relative frequency of those children who prefer the lake, relative to total number of people who prefer lake.

Thus, the relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.

Learn more about conditional relative frequency here:

brainly.com/question/8358304

Learn more about two-way table here:

brainly.com/question/26788374

#SPJ1

3 0
2 years ago
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