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4 years ago

A real number between square13 and 14

Mathematics

1 answer:

Ira Lisetskai [31]4 years ago

7 0

There are infinitely many real numbers between √13 (≈ 3.605) and √14 (≈3.74)

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Are 3 and 8 prime to each other

MAVERICK [17]

Remark

Yes even though 8 is not a prime number. There is nothing that will divide into 3 or 8 the will give a whole number answer when the division is complete.

That means that 3 and 8 are prime to each other in base 10.

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3 years ago

Help pls I'll mark brainliest

attashe74 [19]

Answer:

-3/8

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Step-by-step explanation:

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3 years ago

At a concert, you purchase 3 T-shirts and a concert program for a total cost of $90. The program cost $15 and the T-shirts all c

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the

ss7ja [257]

Answer: Option 'E' is correct.

Step-by-step explanation:

Since we have given that

If the length of one piece of rope is 2.8 meters shorter than the length of the other.

Let the length of first piece be 'x'.

Let the length of second piece be 'x-2.8'

Total length of rope = 20.6

So, According to question, it becomes,

$x+x-2.8=20.6\\\\2x=20.6+2.8\\\\2x=23.4\\\\x=\dfrac{23.4}{2}\\\\x=11.7$

So, the greatest number of the length of part of rope is 11.7 m.

Hence, Option 'E' is correct.

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3 years ago

The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt

AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average height = 175 cm

$\sigma$ = population standard deviation = 20 cm

n = sample of men = 40

Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ]

= [ $175-1.96 \times }{\frac{20}{\sqrt{40} } }$ , $175+1.96 \times }{\frac{20}{\sqrt{40} } }$ ]

= [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.

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3 years ago