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Pie
3 years ago
8

Help please thank you

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

5+6+7+8+9+10+11

Step-by-step explanation:

The initial value is 5 miles

We add 1 mile each day

a1 =5

a2 = 5+1 =6

a3 = 6+1=7

a4 =7+1 = 8

a5= 8+1 =9

a6= 9+1=10

a7 = 10+1 = 11

The series is the sum of the seven terms

a1+a2+a3+a4+a5+a6+a7

5+6+7+8+9+10+11

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Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject Upp
scoundrel [369]

Answer: P-value = 0.1235604

We do not reject the null hypothesis .

Step-by-step explanation:

We know that when the obtained p-value is less than the significance level (\alpha) then we reject the null hypothesis  H_0 otherwise we do not reject null hypothesis  H_0.

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The p-value for the given test static (two-tailed)=0.1235604>0.03

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7 0
3 years ago
The 16th term of an AP is three times the 5th term.If the 12th term is 20 more the 7th term.Find the first term and the common d
Vlad1618 [11]
<h3><u>Answer:</u></h3>

  • First term = 6
  • Common difference= 4

<h3><u>Solution</u><u>:</u></h3>

Let's take the first term as <u>a</u> and the common difference be <u>d</u>

The formula to find the nth term of an arithmetic progression is given by :

  • an = a + ( n - 1 ) d

<u>According to question, we have :</u>

  • 16th term of an AP is three times the 5th term.

➝ a16 = 3 ( a5 )

➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )

➝ a + 15d = 3 ( a + 4d )

➝ a + 15d = 3a + 12d

➝ 15d - 12d = 3a - a

➝ 3d = 2a

➝ 2a = 3d

➝ <u>a = 3d/2</u><u>‎</u>ㅤ‎ㅤ‎ㅤ⸻ ( 1 )

  • And, the 12th term is 20 more the 7th term.

➝ a12 - ( a7 ) = 20

➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20

➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20

➝ a + 11d - ( a + 6d ) = 20

➝ a - a + 11d - 6d = 20

➝ 5d = 20

➝ d = 20/ 5

➝<u> d = 4</u>

  • <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>

➝ a = 3d / 2

➝ a = ( 3 × 4 ) / 2

➝ a = 12 / 2

➝<u> a = 6</u>

3 0
2 years ago
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