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lawyer [7]
3 years ago
14

3

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

(a) 1km

(b)80 fence panels

Step-by-step explanation:

(a) perimeter = 300+300= 600

200+200= + 400

=1000m

1km = 1000m

(b).

1panel = 2.5 m 1× 200÷2.5 = 80

=200m

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Which mountain range separates Georgia from Russia?<br>​
agasfer [191]

Answer:

Step-by-step explanation:

The Caucasus Mountains

6 0
3 years ago
Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,
mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

 E[X] = \frac{\textup{1+2+3+4+5+6}}{\textup{6}}

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}

or

E[X²] = \frac{1+4+9+16+25+36}{\textup{6}}

or

E[X²] = \frac{91}{\textup{6}}

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0
3 years ago
Mr. Malone made a graph to represent the time his students spent studying for their tests throughout the unit and their actual t
denis-greek [22]

Answer:

a. 4/3

b. Test scores in percentage

c. y=4/3x +50

d. 78

8 0
2 years ago
Which of the following equations might have the graph shown?
jonny [76]

we will select each options and then we verify it

(a)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=2 but k=-3

so, this is FALSE

(B)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=3 and k=4

so, this is TRUE

(C)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=-3 and k=-4

so, this is FALSE

(D)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , h=5 and k=5

so, this is TRUE

(E)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , we have all terms positive

so, h and k must be negative here

so, this is FALSE

(E)

we can see that circle is in first quadrant

so, it's center coordinates must be positive

both h and k should be positive

Here , we have -4x and -6y

which will have h and k positive

so, this is TRUE

8 0
3 years ago
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
otez555 [7]

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

<u>Step-by-step explanation:</u>

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This implies that this solution should satisfy the given linear equations.

Step 2:

Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.

4 0
3 years ago
Read 2 more answers
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