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3 years ago

Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd

Mathematics

1 answer:

Slav-nsk [51]3 years ago

7 0

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

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Lapatulllka [165]

All triangles in this shape have same area as they have same base length and height length.

area of triangle: 1/2 * base * height

Here the base is 4.2 cm and height is 2.5 cm for all the given triangles.

As a result, we can say that the area of $\triangle$ A, $\triangle$ B, $\triangle$ C are equal.

5 0

2 years ago

Read 2 more answers

The student population at the University is currently 400. The expected annual rate of increase is predicted to be 0.02. What wi

kotegsom [21]

Answer:

The population of the students at the University after 5 years is <u>442</u>.

Step-by-step explanation:

Given:

Current population of students is, $P_o=400$

Growth rate is, $r=0.02$

Time after which population is needed is, $t=5\ years$

Let 'P' be the population after 't' years.

Population growth is an exponential growth and the equation to determine the population after 't' years is given as:

$P=P_oe^{rt}$

Now, plug in 400 for $P_o$ , 0.02 for 'r', 5 for 't' and solve for 'P'. This gives,

$P=(400)e^{0.02\times 5}\\\\P=400\times e^{0.1}\\\\P=400\times 1.1052\\\\P=442$

Therefore, the population of the students at the University after 5 years is 442.

8 0

3 years ago

What is the second step to solving this equation?9x - 23 = 49ASubtract 23 from both sides.BMultiply both sides by 9.CDivide both

Sophie [7]

Answer: C

<h2>Step-by-step explanation: </h2>

5 0

3 years ago

The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 8 in

Setler [38]

<u>ANSWER: </u>

The length of a side of the triangle is 17 inches.

<u>SOLUTION: </u>

Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.

And the side of the triangle is 8 inches longer than the side of the square.

Let the length of the side of a triangle be x.

And the length of the side of a square be y.

perimeter of triangle = a + b + c , where a , b, c represents side

perimeter of square = a + a + a +a , where a represents side

Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square. Hence we form a equation as

Then, x + x + x = 15 + y + y + y + y

3x = 15 + 4y ---- (1)

Now, given that, x = 8 + y ---- (2)

Substitute (2) in (1)

3(8 + y) = 15 + 4y

24 + 3y = 15 + 4y

4y – 3y = 24 – 15

y = 9

Now, substitute y value in (2)

x = 8 + 9 = 17

Hence, the length of a side of the triangle is 17 inches.

5 0

3 years ago

The blue point already shown on the graph shows the data for Neha. According to the graph, Neha's income is has_______, and she

algol [13]

According to the graph, Neha's income is has_5 thousand dollars per month_, and she has_ 10 dinners out per month_.

<h3>How to complete the blanks?</h3>

Here we want to complete:

According to the graph, Neha's income is has_______, and she has_______.

We know that the blue point on the graph shows Neha's data. The horizontal axis shows the income, and the vertical axis shows the quantity (dinners per month).

Now, if the coordinates of the blue point are (5, 10). This means that her income is 5 thousand dollars per month, and that she has 10 dinners out per month, then:

According to the graph, Neha's income is has_5 thousand dollars per month_, and she has_ 10 dinners out per month_.

If you want to learn more about graphs:

brainly.com/question/19040584

#SPJ1

3 0

1 year ago