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3 years ago

Solve: 14 = k(0.4) k = _____

Mathematics

2 answers:

KatRina [158]3 years ago

4 0

Let's solve your equation step-by-step.

14=k(0.4)

Step 1: Simplify both sides of the equation.

14=0.4k

Step 2: Flip the equation.

0.4k=14

Step 3: Divide both sides by 0.4.

$\frac{0.4k}{0.4}$ = $\frac{14}{0.4}$

Alexus [3.1K]3 years ago

3 0

The answer to this question is K = 35 is the answer

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What is the length of the base of a right triangle with an area of 24m and a height of 4m

insens350 [35]

To find the length of the base, we have to understand that area of triangle:

Base x height/2

Therefore we would multiply the area by 2 and divide by 4 to find the answer:

24x2/4

=48/4

=12

Therefore the answer is 12m.

Hope it helps!

4 0

4 years ago

Read 2 more answers

Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the p

BaLLatris [955]

Answer:

11/68 or 0.1618

Step-by-step explanation:

Balls

Black - 6
White - n

Options of getting 3 balls

1. White, black, black
2. Black, white, black
3. Black, black, white

Probability P(n) in each option

1. WBB

P(w) = 6/(n + 6)
P(b1) = n/(n + 6 - 1) = n/(n + 5)
P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)

P(n) =

P(w)P(b1)(P(b2) =
6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =
6n(n - 1)/(n + 6)(n + 5)(n + 4)

2. BWB

P(b1) = n/(n + 6)
P(w) = 6/(n + 6 - 1) = 6/(n + 5)
P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)

P(n) =

P(b1)P(w)(P(b2) =
n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =
6n(n - 1)/(n + 6)(n + 5)(n + 4)

3. BBW

P(b1) = n/(n + 6)
P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)
P(w) = 6/(n + 5 - 1) = 6/(n + 4)

P(n) =

P(b1)P(b2)(P(w) =
n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =
6n(n - 1)/(n + 6)(n + 5)(n + 4)

Final equation is same for each case:

P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)

The easy way to find the maximum is to try the numbers or graph.

Both of the methods give the maximum integer n = 11 or n = 12

See attached graph

At both values n we get P(n):

P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)
P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)

3 0

3 years ago

Suppose 90% of kids who visit a doctor have a fever, and 45% of kids with a fever have sore throats. What's the probability that

Klio2033 [76]

Answer:

i think its 5

Step-by-step explanation:

5 0

3 years ago

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Given the m<8=45, find the other angle measures. Be able to say how you found each angle measure. PLEASE help!

iris [78.8K]

Answer:

m<1 = 135°, m<2 = 45°, m<3 = 135°, m<4 = 45°, m<5 = 135°, m<6 = 45°, m<7 = 135°

Step-by-step explanation:

We know that a straight line always gives us a measure of 180° total. This would mean 180° = m<8 + m<7. So, if we plug in the real value of m<8, we get 180 = 45 + m<7. From there, we can subtract 180 by 45, and we get 135° = m<7.

We know that vertical angles are congruent - so m<5 is the same as m<7 - making m<5 = 135° as well. This could also apply to m<8 and m<6, so m<6= 45°.

From there, we can also say that alternate interior angles are congruent to each other - meaning m<5 = m<3, and m<6 = m<4. So, m<3 = 135° and m<4 = 45°.

Alternate exterior angles are congruent too, which means m<8 = m<2, and m<7 = m<1. So, m<2 = 45° and m<1 = 135°.

In summary,

m<7 = 135° because angle subtraction.

m<5 = 135° and m<6= 45° because vertical angles are congruent.

m<3 = 135° and m<4 = 45° because alternate interior angles are congruent.

m<1 = 135° and m<2 = 45° because alternate exterior angles are congruent!

Hope this makes sense! Not sure if I explained it well.

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4 years ago

WEIGHTS AND MEASURES One pint is about 5/9 liter. Write 5/9 liter as a decimal.

Archy [21]

Answer:

.55555555 infinitely or .556

Step-by-step explanation:

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3 years ago

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