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3 years ago

What is the weight of 320 jars if each jar weighs 3 pounds 2 ounces?

1 answer:

3 0

First, covert 3 pounds to ounces...then add the 2 ounces given. The weight of one jar, in ounces, is 50 ounces. Given that, multiply 320 by 50. The answer to that is 16,000. Therefore, there are 16,000 in 320 jars. To get the answer pack to pounds....divide 16,000 by 16 since there are 16 ounces in a pound. The answer would be 1,000 pounds. Meaning, there are 1,000 pounds OR 16,000 ounces in 320 jars. Hope this helps :)

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3 years ago

Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0

vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

$x_1=-4+2i$ and $x_2=-4-2i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+8x+20=0$

$a=1\\b=8\\c=20$

The discriminant is equal to

$D=(b^{2}-4ac)$

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

$D=8^{2}-4(1)(20)=-16$ -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{-16}} {2}$

Remember that

$i=\sqrt{-1}$

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$x_1=\frac{-8(+)4i} {2}=-4+2i$

$x_2=\frac{-8(-)4i} {2}=-4-2i$

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A survey of 250 homeless persons showed that 14 were veterans. Find a point estimate for the population proportion of homeless p

snow_lady [41]

Answer:

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And for this case that represent the 5.6% of the homeless persons who are veterans

Step-by-step explanation:

We know that in a survey of 250 homeless persons 14 were veterans. We can find the estimated proportion of homeless persons who are veterans with the following formula:

$\hat p =\frac{X}{n}$

The last one is an unbiased estimator of the true population proportion p

And replacing the info given we got:

$\hat p =\frac{14}{250}= 0.056$

And for this case that represent the 5.6% of the homeless persons who are veterans

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