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Leviafan [203]
3 years ago
12

If the 4th term of an A.P is 11 and sum of 4th and 5th term is 25. Find the common difference?​

Mathematics
1 answer:
ira [324]3 years ago
8 0

Answer:

3

Step-by-step explanation:

4th term+5th term = 25

5th term = x

4th term = 11

11+x=25

x=25-11

x=14

5th term= 14

Common difference = 5th term - 4th term

14-11

=3

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Is - 11>-16 a true pr false statement
Elina [12.6K]

Answer:

True

Step-by-step explanation:

-11 is greater than -16

6 0
3 years ago
In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The
lbvjy [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

Tstatistic = - 2.722

Decision region :

Reject Null ; if

Tstatistic < Tcritical

Tcritical : - 2.045

-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

Reject H0 if :

Pvalue < α

0.0108 < 0.05 ; Hence, we reject the Null

4 0
2 years ago
What are the solutions to the system of equations? y=− x 2 +5x+6 −6x+y=6
Komok [63]

Answer:

option B

(−1, 0) and (0, 6)

Step-by-step explanation:

Given in the question two equations,

Equation 1

y =−x² + 5x + 6

Equation 2

−6x + y = 6

plug value of y in second equation

−6x −x² + 5x + 6 = 6

-x² -6x + 5x +6 - 6 = 0

-x² - x + 0 = 0

-x² -x = 0

-x(x+1) = 0

x = 0

and

x = -1

plug value of x in second equation to find y

x = 0

−6(0) + y = 6

 0 + y = 6

 y = 6

 and

x = -1

−6(-1) + y = 6

6 + y = 6

y = 0

8 0
2 years ago
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Answer:

the first one is 3.4

Step-by-step explanation:

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2 years ago
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Answer:

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