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3 years ago

About 60% of the human body is water. At this rate, how many pounds of water are in the body of a 95-pound person?

2 answers:

7 0

95 = 95% = $\frac{unknown}{95}$
60% = $\frac{60}{100}$
$\frac{60}{100} = \frac{3}{5}$
You get $\frac{3}{5}$ by dividing the numerator and denominator of $\frac{60}{100}$ both by 12.
Next
$\frac{unknown}{95}$ ÷ $\frac{3}{5}$ = $\frac{57}{95}$ ÷ $\frac{3}{5}$
You get $\frac{57}{95}$ because you know that the denominator, 5, gets to 95 by multiplying it by 19. You multiply the numerator, 3, by 19 to get 57.
ANSWER:
57 pounds of water

alexdok [17]3 years ago

4 0

57 hope it helps you out

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The mean of a set of eight numbers is 8 and the mean of a different set of twelve numbers is m. Given that the mean if the combi

Basile [38]

Mean=total/the number of values =>total=mean*the number of values
the total of the first set of 8 numbers is : total=8*8=64
the total of the second set of 12 numbers is: 12m
the total of the 20 numbers is: 64+12m
the mean of the 20 number is: (64+12m)/20=5
solve for m: 64+12m=100
12m=36
m=3

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3 years ago

Simplify.<br> 10x² + 11x − 6=0

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Step-by-step explanation:

10x² + 11x − 6 = 0

10x² + 15x – 4x – 6 = 0

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2 years ago

A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The

disa [49]

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ± 5.09

=-2.09, 8.09 is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

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3 years ago

9. Mark is filling up crates with watermelons for the food drive. He has large watermelons that weigh 10 pounds each and smaller

abruzzese [7]

9. 10x + 5y is the equation for larger watermelons + smaller watermelons (you did not provide information about the medium watermelons, so we must assume given the options you miswrote one of them). We can hold NO MORE than 500 pounds, so 10x + 5y must be smaller than 500. The best answer is C assuming that "5y" represents your "Medium Watermelons"- because smaller watermelons are stated to be 5 and medium ones should therefore be between 5 and 10, the option provided by A wouldn't make since because 3 pounded watermelons are not "medium" in comparison to the "small ones" that are heavier/bigger. Your best option is C, 10x + 5y < 500, the exact answer technically would be 10x + 5y <= 500.

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3 years ago

What are the slope and y-intercept for the graph of y – 3x = -1?

Liula [17]

Answer:

Slope (m) = 3, y-intercept (b) = -1

Step-by-step explanation:

First, we need to write the equation in y = mx + b.

To do this, add 3x to both sides.

y = 3x - 1 is your result.

Now, we have everything we need to do determine our slope and y-intercept in just this equation alone.

Remember, m = slope and b = y-intercept.

In this equation:

m = 3

b = -1

So your slope is 3, and your y-intercept is -1

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2 years ago