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nika2105 [10]
1 year ago
5

David drove a distance of 187km, correct to 3 significant figures. He used 28 litres of petrol, correct to 2 significant figures

.
The petrol consumption of a car, in km per litre, is given by the formula c=d/p
considering bounds work out the value of c for david’s journey to a suitable degree of accuracy
Mathematics
2 answers:
mote1985 [20]1 year ago
8 0
David drove a distance (d) of 187km, to 3 significant figures. He used 28 litres of petrol (p), to 2 significant figures.
The petrol consumption (c) in km per litre is given by the formula: c= d/p
By considering bounds, work out the value of c, to a suitable degree of accuracy. You must show your working and give a reason for your answer. I'm not totally comfortable with sig figs, but I believe that the answer can only be expressed as accurately as least number of sig figs of any data used in the computations.....thus ....the answer should be rounded to 2 sig figs

So

187 / 28 = 6.67 ⇒ 6.7 km / L [rounded to 2 sig figs ].
Liono4ka [1.6K]1 year ago
5 0

Answer:

upper bound for 187 = 187.5

lower bound for 187 = 186.5

upper bound for 28 = 28.5

lower bound for 28 = 27.5

lowest possible petrol consumption = 6.543859649

highest possible petrol consumption = 6.818181818

petrol consumption = 7

because the upper and lower bounds both agree to this number of figures

p.s this was a question in my mathwatch homework and i got 5/5 marks on it.

brainliest plz?

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What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesi
fgiga [73]

Answer:

Solution to equation: n = 1

Step-by-step explanation:

We are given the following equation:

-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)

We have to solve the equation to find the value of n.

Solving the equation, we get,

-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)\\\\-\dfrac{1}{2}(2n + 4)-4(2n+1) = -9-6\\\\-n-2-8n-4 = -15\\\Rightarrow -9n = -15 + 6\\\Rightarrow -9n = -9\\\Rightarrow n = 1

Thus, value of n is 1.

4 0
2 years ago
Which expression is equivalent to the equation?
IrinaK [193]

Answer:

Option 1

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Option 1 = 3072 - correct

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4 0
1 year ago
The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root?
joja [24]

Actually, I think the question should be, "In what range(s) of x-values must there be a root of the POLYNOMIAL?" Unless you are working with some real strange maths, polynomials are smooth and continuous. If you drew a smooth and continuous line through the points in the graph, where would the line have to cross the x-axis?


6 0
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The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.
DanielleElmas [232]

Answer: E(Y) = 1.6 and Var(Y)=1.12

Step-by-step explanation:

Since we have given that

X       0        1       2

P(X)   0.4   0.4    0.2

Here, number of games = 2

So, Y=X_1+X_2

Since X_1\ and\ X_2 are independent variables.

so, E[Y]=2E[X]\\\\Var[Y]=2Var[X]

So, we get that

E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56

So, E[y]=2×0.8=1.6

and Var[y]=2×0.56=1.12

Hence, E(Y) = 1.6 and Var(Y)=1.12

5 0
2 years ago
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