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VikaD [51]
3 years ago
15

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 25​% antifreeze to get a mixture that is 70​% ​

antifreeze? Use the​ six-step method.
Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

<span>0.7X+0.25*100=0.6(100+X)
0.7X+25=60+0.6X
0.7X-0.6X=60-25
0.1X=35
X=35/0.1</span>

X=350 GALLONS OF 70%





morpeh [17]3 years ago
7 0
We have 100 gallons of 25% antifreeze.
How much of 80% antifreeze do we need to add to make a 70% solution?

.25 * 100 + .80x = .70 * 100 + x
25 + .80x = 70 + .7x
.1x = 45
x = 450 gallons of 80% must be added to make a 70% solution.


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What is 33 1/3 of 51 equals what please show work
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3 years ago
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On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0
3 years ago
50 POINTSS!!!!- The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement o
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Answer:

the first option

Step-by-step explanation:

solution:

distance: d=1/4 lc (because is a quarter of a circle)

length of the circumference: lc=2 pi r

pi: constant=3.14

radius of the circle: r=80 feet

replacing pi and r in the formula of lc:

lc=2 pi r

lc=2 (3.14) (80 feet)

lc=502.4 feet

replacing lc in the formula of d:

d=1/4 lc

d=1/4 (502.4 feet)

d=502.4/4 feet

d=125.6 feet

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