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scoray [572]
3 years ago
15

A certain fluid is not a liquid if its temperature above 140 C or below 0 C. Enter a compound inequality for the temperatura t w

hen water is not liquid
Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

t < 0 and t > 140

Step-by-step explanation:

It is given in the question that fluid is not a liquid if its temperature is above 140°C or below 0°C.

So, the inequality that satisfies the temperature at which the fluid is liquid will be given by 140 ≥ t ≥ 0.

Now, the compound inequality for the temperature t when the fluid is not liquid is t < 0 and t > 140. (Answer)

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A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian
SOVA2 [1]

Answer:

(b) 4,445

Step-by-step explanation:

If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?

Given a=0.05, |Z(0.025)|=1.96 (check standard normal table)

So n=(Z/E)^2*p*(1-p)

=(1.96/0.015)^2*0.5*0.5

=4268.444

Take n=4269

Answer:(b) 4,445

3 0
3 years ago
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
PtichkaEL [24]
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1  in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting.  The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3
4 0
3 years ago
Read 2 more answers
What is the area of this
AveGali [126]

Answer:

12m

Step-by-step explanation:

3 0
2 years ago
Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the
nasty-shy [4]

Answer:

81.2\:\mathrm{ft}

Step-by-step explanation:

We can form a right triangle and use basic trig for a right triangle to solve this problem:

\tan33^{\circ}=\frac{h}{125}, where h is the height of the tree.

Solving, we get:

h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}.

6 0
3 years ago
Solve the Inequality. 3x -5 &lt; x + 1 ≤ 2x + 1.
liraira [26]
0 ≤ x < 3
sorry if this is wrong!
5 0
3 years ago
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