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2 years ago

Evaluate expressions with grouping

Mathematics

1 answer:

posledela2 years ago

3 0

The evaluation of the following expressions with groupings are:

14
14
70
-0.2
-3
77
11
19

<h3>Algebra</h3>

8+ (9-3)

= 8 + (6)

= 14

(8+9)-3

= 17 - 3

= 14

14(10 ÷ 2)

= 14 (5)

= 70

(12-3) - (9.2)

= 9 - 9.2

= -0.2

(4-10) + (75 ÷ 25)

= -6 + (3)

= -6 + 3

= -3

80-3

= 77

8+3

= 11

13+ [2(9- 6)]

= 13 + {2(3)}

= 13 + (6)

= 19

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8a+16=32 what is the answer

BARSIC [14]

8a+16=32
-16 -16 (subtract 16 on both sides)
8a=16
÷8 ÷8 (divide 8 on both sides to get "a" by itself)
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3 years ago

Read 2 more answers

PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi

Irina18 [472]

Answer:

Question 1: $P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}$

Question 2:

A. $P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

B. $P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

C. $P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

Step-by-step explanation:

Conditional probability is defined by

$P(A|B)= \frac{P(A and B)}{P(B)}$

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} } = \frac{1}{2}$

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

$P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

then

$P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

$P((YorZ) and B)= \frac{3}{16}$

By definition,

$P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

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3 years ago

Can someone motivate me to do my math homework?!

alexira [117]

Math is basically useless rn but it’s the last week until Christmas break just 2 days left finish your math so your not stuck doing it later!! and enjoy your time off as much as you can!

8 0

3 years ago

Which of the following is an equation in slope-intercept form of the line that passes through the given point and with the given

Diano4ka-milaya [45]

Answer:

$y=2x-14$

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem we have

$m=2\\point\ (9,4)$

substitute the given in the equation

$4=2(9)+b$

Solve for b

$4=18+b$

subtract 18 both sides

$4-18=b$

$b=-14$

therefore

The linear equation in slope intercept form is equal to

$y=2x-14$

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4 years ago

Find the next number in the pattern. 0.5 2.5 12.5 62.5

sesenic [268]

The answer is: " 312.5 " .
_________________________________________________
<u>Note</u>: In the pattern given, each number is multipled by "5" to get to the number consecutive number.
__________________________________________________
The pattern given is:
__________________________________________________
" 0.5, 2.5, 12.5, 62.5, ____, ....." ;

Note: The first number in the pattern given is: "0.5" .

"0.5 * 5 = 2.5" ; and "2.5" is the second number in the pattern.

"2.5 * 5 = 12.5" ; and "12.5" is the third number in the pattern.

"12.5 * 5 = 62.5" ; and "62.5" is the fourth number (and final number SHOWN in the pattern).

To find the next number, we multiply "62.5" by "5" ; to get: "312.5" .
_______________________________________________________

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4 years ago