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A store sells cards on each of which there are drawing of different flowers: either roses, either daisies, either tulips, either

valkas [14]

The greatest number of different cards based on the permutations is 144.

<h3>How to compute the value?</h3>

From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.

Therefore, the greatest number of different cards will be:

= 4! × 3!

= 24 × 6

= 144

Learn more about permutations on:

brainly.com/question/4658834

#SPJ1

7 0

2 years ago

Write an equation to show the angle relationship between adjacent angles.

SpyIntel [72]

Definition

Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.

Examples

Angles 1 and 2 are adjacent angles because they share a common side.

adjacent angles examples

4 0

3 years ago

3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y <10

Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

$5x-2y\leq 10$ ----> inequality A

isolate the variable y

Adds 2y both sides

$5x \leq 10+2y$

Subtract 10 both sides

$5x-10 \leq 2y$

Divide by 2 both sides

$2.5x-5 \leq y$

Rewrite

$y \geq 2.5x-5$

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is $y=2.5x-5$

The slope of the solid line is positive $m=2.5$

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

$x+y < 5$ -----> inequality B

Isolate the variable y

Subtract x both sides

$y < -x+5$

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is $y=-x+5$

The slope of the dashed line is negative $m=-1$

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0

3 years ago

Asibi makes face covers. A customer has ordered five face covers. Asibi has 3/4 yard of fabric and each face cover requires 1/6

Volgvan

Answer:

1/12 yards

Step-by-step explanation:

5×1/6 yards = 5/6 yards

5/6 yards - 3/4 yards = 10/12 yards - 9/12 yards

= 1/12 yards

3 0

3 years ago

Population lottery numbers: 56, 42, 19, 8, 24, 13 find the total number of samples of size 4 that can be drawn from this populat

statuscvo [17]

Answer:

The correct answer is there are 15 samples each of size 4 to choose from the population and the population mean is 27.

Step-by-step explanation:

Total number of lottery tickets = 6

Number of samples of size 4 that can be drawn from this population of 6 lottery numbers are = $\left[\begin{array}{ccc}6\\4\end{array}\right]$ = 15.

Now the population mean is given by $\frac{1}{n}$ × ∑ x , where n is the number of lottery tickets and ∑ x is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by $\frac{162}{6}$ = 27.

8 0

3 years ago