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3 years ago

find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer:56

Step-by-step explanation:

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Leviafan [203]

135000/6000=X
22.5=X

So this building would need 23 fire extinguishers

3 0

3 years ago

Consider the random variables X and Y with joint density function ???? f(x,y)= x+y, 0≤x≤1;0≤y≤1 0, elsewhere. (a) Find the margi

sp2606 [1]

a. The marginal densities

$f_X(x)=\displaystyle\int_0^1(x+y)\,\mathrm dy=x+\frac12$

and

$f_Y(y)=\displaystyle\int_0^1(x+y)\,\mathrm dx=y+\frac12$

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

$P(X>0.25,Y>0.5)=\displaystyle\int_{1/4}^1\int_{1/2}^1(x+y)\,\mathrm dx\,\mathrm dy=\frac{33}{64}$

7 0

3 years ago

A person who is 68in tall casts a shadow that is 54in long. At the same moment, a tree casts a shadow that is 18ft long. What is

34kurt

Answer:

22.67 ft is the height of tree.

Step-by-step explanation:

Given:

Height of a person is 68 in and casts a shadow that is 54 in long.

At the same point, a tree casts a shadow that is 18 ft long.

Now, to find the height of tree.

Let the height of tree be $x.$

If height of a person is 68 in he casts a shadow of 54 in.

So, 68 in is equivalent to 54 in.

Thus, $x$ is equivalent to 18 ft.

Now, to get the height of tree by using cross multiplication method:

$\frac{68}{54} =\frac{x}{18}$

By cross multiplying we get:

$1224=54x$

Dividing both sides by 54 we get:

$22.67=x$

$x=22.67\ ft.$

Therefore, the height of the tree is 22.67 ft.

6 0

3 years ago

When 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some

Dima020 [189]

Answer: C

Step-by-step explanation: C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Total: 1000

20 had fever, so 1000 - 20 = 980 who did not have fever

Total who did not have fever: 980

As 880 not fever and not inflamation, 980 - 880 = 100

So, 100 had inflamation but not fever.

We need the 2 statements and they alone do not answer the question

3 0

3 years ago

Is it congruent or not ? Remember that the diagram may not be drawn to scale . justify your conclusion.

Leno4ka [110]

Yes, we can see each triangle has congruent angle, side, angle, respectively (SAD). When two triangles have these correlating congruences, they can be determined as congruent.

4 0

3 years ago