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almond37 [142]
3 years ago
10

A) 22-2•6=? B) 6-1/4•16+21 divided by 3=? C ) ( 8-5) ( 5-3) to the second power=?

Mathematics
1 answer:
sergejj [24]3 years ago
7 0

The question has been solved based on the assumption that • represents multiplication operation

We will follow the rule of BODMAS to solve the questions. BODMAS means we solve the expression within the bracket first, then conduct division operation, followed by multiplication, addition and subtraction.

Part A

22-2•6

Let 22-2•6 be X

⇒ X = 22 - 12 (Conducting multiplication  operation first)

⇒ X = 10 (Conducting subtraction next)

Part B

6-1/4•16+21 divided by 3 indicates that the first part of the expression ( 6-1/4•16+21) needs to be divided by 3.

Let 6-1/4•16+21 divided by 3 be Y

⇒ Y = (6-1/4•16+21) ÷ 3

⇒ Y = (6-0.25•16+21) ÷ 3 (Solving the bracket first and starting with the division operation)

⇒ Y = (6-4+21) ÷ 3 (Conducting the multiplication operation next)

⇒ Y = (6-17) ÷ 3 (Conducting the addition operation next)

⇒ Y = (11) ÷ 3 (Conducting the subtraction operation next)

⇒ Y = 3.333... (Moving out of the bracket and conducting the remaining operation)

Hence, Y = 3.333...

Part C

(8-5) (5-3) to the second power indicates that the brackets need to be solved first. Also, power operation is conducted before division or multiplication.

Let (8-5) (5-3) to the second power be Z

⇒ Z =  (3) (2) to the second power (Solving the brackets first)

⇒ Z =  (3) (2²) (Conducting the power operation next)

⇒ Z =  (3) (4)

⇒ Z =  12 (Conducting the multiplication operation next)

Hence, Z = 12.

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olchik [2.2K]

Answer:

Step-by-step explanation:

s(1-30/100)=420

s(100-30)/100=420

s(70/100)=420

s(7/10)=420

7s=4200

s=600

5 0
2 years ago
In a statistics mid-term exam graded out of 100 points, the distribution of the exam scores was bi-modal with a mean of 70 point
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the distribution of the points scored by students in the exam, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = points scored by students

u = mean score

s = standard deviation

From the information given,

u = 70 points

s = 10.

We want to find the probability of students scored between 40 points and 100 points. It is expressed as

P(40 lesser than x lesser than or equal to 100)

For x = 40,

z = (40 - 70)/10 =-3.0

Looking at the normal distribution table, the corresponding z score is 0.0135

For x = 100,

z = (100 - 70)/10 =3.0

Looking at the normal distribution table, the corresponding z score is 0.99865

P(40 lesser than x lesser than or equal to 100) = 0.99865 - 0.0135 = 0.98515

The percentage of students scored between 40 points and 100 points will be 0.986 × 100 = 98.4%

4 0
3 years ago
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. Simplify an expression for the area of the rectangle shown above
mel-nik [20]
8x+3x5=66 there you go
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2 years ago
Find the slope of the line that passes through (14, -26) and (15, 14).
tatuchka [14]

Answer:

Slope is 40

Full equation: y=40x-586

Step-by-step explanation:

Slope is y2-y1/x2-x1

14 is x1

-26 is y1

15 is x2

14 is y2

14-(-26)/15-14

40

So the slope is 40

To find the equation

y=40x+b

14=15(40)+b

14=600+b

b=-586

Equation:

y=40x-586

5 0
3 years ago
Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.
WINSTONCH [101]

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

Tangent(x) = Opp/Adj

Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

tan 30 = 60/x

5 0
2 years ago
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