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4 years ago

What does (- 1.2) × (0.4) equal?

Mathematics

1 answer:

klasskru [66]4 years ago

7 0

The answer is -0.48.

First, you multiply 1.2 to 4 to get 4.8. Then, since the 4 wasn't 4 but 0.4, you have to divide 4.8 by 10 to get 0.48. Finally, since -1.2 is negative, you put a negative sign in front of 0.48 to get -0.48.

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The area of a rectangle is 40 cm2. If its length is 10 cm, what is its width?

astra-53 [7]

Answer:

Width = 4 cm

Step-by-step explanation:

The formula for area of a rectangle is length x width. You have the length (10), leaving you with this equation.

10 x ? = 40

Solve for x, or in other words, divide 40 by 10. This gives you 4. This means that 10 x 4 equals 40 cm^2

3 0

3 years ago

. A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs ar

yaroslaw [1]

Answer:

a) 59.34%

b) 44.82%

c) 26.37%

d) 4.19%

Step-by-step explanation:

(a)

There are in total 4+5+6 = 15 bulbs. If we want to select 3 randomly there are K ways of doing this, where K is the combination of 15 elements taken 3 at a time

$K=\binom{15}{3}=\frac{15!}{3!(15-3)!}=\frac{15!}{3!12!}=\frac{15.14.13}{6}=455$

As there are 9 non 75-W bulbs, by the fundamental rule of counting, there are 6*5*9 = 270 ways of selecting 3 bulbs with exactly two 75-W bulbs.

So, the probability of selecting exactly 2 bulbs of 75 W is

$\frac{270}{455}=0.5934=59.34\%$

(b)

The probability of selecting three 40-W bulbs is

$\frac{4*3*2}{455}=0.0527=5.27\%$

The probability of selecting three 60-W bulbs is

$\frac{5*4*3}{455}=0.1318=13.18\%$

The probability of selecting three 75-W bulbs is

$\frac{6*5*4}{455}=0.2637=26.37\%$

Since the events are disjoint, the probability of taking 3 bulbs of the same kind is the sum 0.0527+0.1318+0.2637 = 0.4482 = 44.82%

(c)

There are 6*5*4 ways of selecting one bulb of each type, so the probability of selecting 3 bulbs of each type is

$\frac{6*5*4}{455}=0.2637=26.37\%$

(d)

The probability that it is necessary to examine at least six bulbs until a 75-W bulb is found, supposing there is no replacement, is the same as the probability of taking 5 bulbs one after another without replacement and none of them is 75-W.

As there are 15 bulbs and 9 of them are not 75-W, the probability a non 75-W bulb is $\frac{9}{15}=0.6$

Since there are no replacement, the probability of taking a second non 75-W bulb is now $\frac{8}{14}=0.5714$

Following this procedure 5 times, we find the probabilities

$\frac{9}{15},\frac{8}{14},\frac{7}{13},\frac{6}{12},\frac{5}{11}$

which are

0.6, 0.5714, 0.5384, 0.5, 0.4545

As the events are independent, the probability of choosing 5 non 75-W bulbs is the product

0.6*0.5714*0.5384*0.5*0.4545 = 0.0419 = 4.19%

3 0

3 years ago

Match the graph with the correct equation. Please help!

galina1969 [7]

Answer:

y = -x -2

Step-by-step explanation:

The graph has a slope of -1 and a y-intercept of -2.

The equation is therefore

y = -x -2

6 0

3 years ago

Please help me ASAP easy problem giving brainlist!!

never [62]

Answer:

x ≥ 1

Step-by-step explanation:

Since it's a closed circle x could also be equal to 1. Also, since the arrow is pointing away from 1 the answer of x is greater than 1, therefore the answer is x ≥ 1.

8 0

3 years ago

What is the solution to the inequality 6 − 2x < 4?

slega [8]

X>1 if that helps with your problem

4 0

3 years ago