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3 years ago

5

What is the value of n in the relationship 8n+9=-n+5

1 answer:

vitfil [10]3 years ago

8 0

Subtract 5 from both sides.

$8n + 4 = -n$

Subtract 8n from both sides.

$4 = -9n$

Divide both sides by -9 to solve for n.

$- \frac{4}{9} = n$

The value of n is -4/9.

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The volume of a cylinder, V, in terms of radius, r,

Igoryamba

Answer:

See explanation

Step-by-step explanation:

Volume of a cylinder = πr²h

Solve for r

V = π * r² * h

r² = V/πh

Find the square root of both sides

r = √V/πh

If height = 6 meters and volume = 300 cubic meters. Find r

r = √V/πh

= √(300/3.14*6)

= √(300/18.84)

= √15.923566878980

r = 3.9904344223381

Approximately,

r = 4 meters

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3 years ago

- Let y represent the width of a rectangle and let x represent the rectangle's lengu.

valentina_108 [34]

Answer:

Length: 21 cm and Width: 6cm

Step-by-step explanation:

Let $y$ be the width and $x$ length of the rectangle. We know:

$x = 4y -3$ -------- eq. 1

$54 = 2x + 2y$ (Perimeter of the rectangle) ------- eq. 2

Substitute equation 1 in equation 2:

$54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6$

Using the value of y, we find x.

$x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21$

4 0

3 years ago

Plz help question below

Olenka [21]

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3 years ago

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Bingel [31]

Answer:

Step-by-step explanation:

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4 0

3 years ago

1) Given P(A) = 0.3 and P(B) = 0.5, do the following.

Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

$P(A) = 0.3$ and $P(B) = 0.5$

Let us learn about a formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)$

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

$P(A\ and\ B)$ = $P(A \cap B)$ = 0

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}$

(b) P(A and B) = 0.2

Using above formula:

$P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}$

*************************************

1) Given

$P(A) = 0.4$ and $P(B) = 0.2$

Let us learn about a formula:

$P(A\ and\ B) = P(B) \times P(A/B)$ for dependent events

$P(A\ and\ B) = P(A) \times P(B)$ for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

$P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}$

(b) $P(A / B) = 0.7$

Using above formula:

$P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}$

6 0

3 years ago