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Volgvan
4 years ago
11

Someone!!!!!!!!!!! Please

Mathematics
1 answer:
Marrrta [24]4 years ago
6 0

\frac{\sqrt{5} }{\sqrt{7} } = Rationalising Factor = \sqrt{7}\\ = \frac{\sqrt{5} }{\sqrt{7} } X \frac{\sqrt{7} }{\sqrt{7} } \\Answer:  \frac{\sqrt{35} }{7}

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Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume
Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

8 0
4 years ago
find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first​
Viefleur [7K]

2n + 1 , 2n + 3 , 2n + 5

____________________________

( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15

4n + 8 = 10n + 5 - 15

4n + 8 = 10n - 10

Add both sides 10

4n + 8 + 10 = 10n - 10 + 10

4n + 18 = 10n

Subtract both sides 4n

4n - 4n + 18 = 10n - 4n

18 = 6n

Divide both sides by 6

18 ÷ 6 = 6n ÷ 6

n = 3

_________________________________

Thus that three numbers are :

2(3) + 1 , 2(3) + 3 , 2(3) + 5

6 + 1 , 6 + 3 , 6 + 5

7 , 9 , 11

And we're done ....

3 0
3 years ago
Solve:<br><br> a = 0<br><br> a = 8<br><br> no solution
Anni [7]

Answer:

  1)  a = 0

Step-by-step explanation:

Taking logarithms base 2, we have ...

  -3a·log2(1/8) = 3a·log2(512)

  -3a(-3) = 3a(9)

  27a -9a = 0 . . . . . . . subtract 9a

  a = 0/18 = 0 . . . . . . divide by 18

The solution is a = 0.

3 0
3 years ago
Bo Karah can run a race in 4 hours 33 minutes if he runs at 7 m/s. How long will it take in hours and minutes if
lidiya [134]

Answer:

7 hours and 9 minutes

Step-by-step explanation:

4 hours and 33 minutes is 273 minutes

7 m/s —> 273 minutes

11 m/s —> M

Criss cross to get M

11x273= 7M

3003=7M

M=429 minutes

==> 429 minutes is 7 hours and 9 minutes

8 0
3 years ago
Choose the correct first step(s) to solve the system using elimination. 4x + 7y = 6 and 6x + y = 2
exis [7]
\left\{\begin{array}{ccc}4x+7y=6\\6x+y=2&|multiply\ both\ sides\ by\ (-7)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+7y=6\\-42x-7y=-14\end{array}\right}\\.\ \ \ -38x=-8
7 0
4 years ago
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