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3 years ago

jacks car used 18 gallons of gasoline to go for 68 miles at that rate how many gallons would be used to go 754 miles

Mathematics

1 answer:

ss7ja [257]3 years ago

3 0

68/18 = 3.77 miles to the gallon

754/3.78 = 199.47 gallons

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Quality control is an important issue at ACME Company which manufacturers light bulbs. In order to conduct testing of the life h

mrs_skeptik [129]

Answer: 3424.28

Step-by-step explanation:

Given data : 378, 361, 350, 375, 200, 391, 375, 368, 321

Number of data values = 9

Mean : $\overline{x}=\dfrac{\sum^n_{i=1} x_i}{n}$

$\\\\=\dfrac{378+361+350+375+200+391+375+368+321}{9}\\\\=\dfrac{3119}{9}\approx346.56$

Variance = $\dfrac{\sum^n_{i=1} (x_i-\overline{x})^2}{n-1}$

$\sum^n_{i=1} (x_i-\overline{x})^2 = (31.44)^2+(14.44)^2+(3.44)^2+(28.44)^2+(-146.56)^2+(44.44)^2+(28.44)^2+(21.44)^2+(-25.56)^2\\\\=27394.2224$

Variance = $\dfrac{27394.2224}{8}=3424.2775\approx3424.28$

4 0

3 years ago

PLS ANSWER ASAP! Enter the equation of the line in the form y=mx Where m is slope

AURORKA [14]

Answer:

Well technically its inf due to the arrow, there are no points showing where to start from and where to end

the way you do it it you just count the amount of units it goes up, in this case for every square its going up 5 units, once you get that number you put that on top of your fraction, then you go over on the x axis till you hit your line (x axis is going by 10 every time). This would be your number on the bottom of the fraction.

Ill do what I can see here

40 1

---- Simplified to ----

80 2

Step-by-step explanation:

Obviously this isnt the answer but thats how you get it, hope this helps

4 0

2 years ago

Is 2/9 closest to 0 1/2 or 1

umka2103 [35]

2/9=0.222.....

it is alot closer to zero than any of ther other numbers

6 0

2 years ago

The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec

SVEN [57.7K]

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

$f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft$

The height f at t = 3 seconds is given by:

$f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft$

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

4 0

3 years ago

If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2

andrezito [222]

Answer: $y=\dfrac12 x$ .

Step-by-step explanation:

We know that $a f (x)$ compresses f(x) vertically such that

if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.
if a > 1, the graph is stretched vertically by a factor of a units.

If we vertically compress the linear parent function, F(x) = x, by multiplying by $\dfrac12$ .

Then, the equation of the new function is $y=\dfrac12 F(x)=\dfrac12 x$ .

i.e. $y=\dfrac12 x$ .

8 0

2 years ago