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3 years ago

Please answer correctly while showing detailed working

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

Answer:

n=-4

Step-by-step explanation:

$( \frac{5}{3} ) {}^{2n + 1} \times ( \frac{5}{3} ) {}^{5} = ( \frac{5}{3} ) {}^{n + 2}$

Apply Product of Power Rule

$( \frac{5}{3} ) {}^{2n + 6 } = ( \frac{5}{3} ) {}^{n + 2}$

Set the exponents equal to each other

$2n + 6 = n + 2$

$n + 6 = 2$

$n = - 4$

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Mr. Patrick teaches math to 1515 students.

katrin2010 [14]

Sum of all grades / number of students = average grade

Average grade = 80
number of students = 1514 (excluding payton)

80 * 1514 = 121120

Average grade = 81
number of students = 1515

81 * 1515 = 122715

Sum of 1515 students = 122715
Sum of 1514 students = <u>121120</u>
Difference: 1595 *Paytons grade

7 0

3 years ago

Solve the system of equations below 4x+y=16 and 2x+3y=-2

astraxan [27]

4x+y=16 multiply both sides by -3 and will get
2x+3y=-2

-12x -3y = -48
2x +3y = -2
--------------------------
-10x 0 = -50

-10x = -50

x = -50/(-10) = 5

x = 5

4x+y=16
4*5+y=16
20+y=16

y = 16-20

y = -4

x = 5
y = - 4

hope helped

7 0

3 years ago

Read 2 more answers

A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0

3 years ago

Could someone please help me with this problem and possibly explain if you can? (Will give up brainiest answer if correct, if po

Andrej [43]

To find the answer you need to find the square root of e^2 to get e so what you do to one side of the equation you do to the other side of the equation so find the square root of 0.36.
e=positive or negative 0.6

3 0

4 years ago

Solve pls brainlies

MrRa [10]

Answer:

2) 11

3) 21

4) 7

Step-by-step explanation:

2) (-6) -(-17) = 17 - 6 = 11

3) 19 - (-2) = 19 + 2 = 21

4) (-13) + 20 = 20 - 13 = 7

6 0

3 years ago

Please answer correctly while showing detailed working ​

Please answer correctly while showing detailed working