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Rus_ich [418]
3 years ago
5

Original Shirts Cost: $55

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer: 27% decrease

Step-by-step explanation:

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Identify the class midpoints for the given frequency distribution.
german

Answer:

s

Step-by-step explanation:

8 0
3 years ago
MORE PROBABILITY :\ . In a family with family with 4 children, excluding multiple births, what is the probability of having 2 gi
Bond [772]

In order to solve or know the probability of having 2 girls and 2 boys, assumed that a girl is as likely as a girl at each birth, pascal’s triangle will be likely used. And we will be referring to the line 4 of pascal’s triangle, which was 1 4 6 4 1.  Then it will look like this: 1 = 4 girls; 4 = 3 girls & 1 boy; 6 = 2 girls & 2 boys; 4 = 3 boys & 1 girl; 1 = 4 boys. And now for the solution in order to get the probability of having 2 girls and 2 boys is to divided into the sum of  1+4+6+4+1. 

7 0
3 years ago
Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?
Nady [450]

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

4 0
3 years ago
A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57%
faltersainse [42]

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

8 0
2 years ago
Help? im confused plss!<br> Find the area of the regular polygon with the given radius or apothem
Snezhnost [94]

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

8 0
2 years ago
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