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3 years ago

Rational between √16 and √17

Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

Answer:

41/10

Explanation:

sqrt16 = 4

sqrt17 = 4.12

4.1 = 41/10 and 4<4.1<4.12

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3 years ago

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-3(-5)(-4) i need help

tamaranim1 [39]

Answer:

If you are asking -3 times -5 times -4, then the answer -60

Step-by-step explanation:

-3*-5=15

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3 years ago

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Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

$\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6$

Replacing the mean and the summatory of X:

$\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775$

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3 years ago

An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:

$d = -16t^2 + 1000$

Solution:

The object falls, its distance, d, above the ground after t seconds, is given by the formula:

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$

Time cannot be negative

Therefore,

t < 6.61

And the inequality used is: $-16t^2 + 1000>300$

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3 years ago

The quadrilateral shown is a rhombus. What is angle 4? A; 28 B; 32 C; 58 D; 90

Goryan [66]

I believe the answer would be A 32.

This is because 3 is congruent to 4.

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2 years ago

Rational between √16 and √17​

Rational between √16 and √17