All categories

3 years ago

Solve for u. -3(-6u+5) – 7u= 3 (u-4) - 1 Simplify your answer as much as possible.

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

5 0

Answer:

1/4

Step-by-step explanation:

1. 18u−15−7u=3u−12−1

2. 11u−15=3u−12−1 (Simplify 18u-15-7u18u−15−7u to 11u-1511u−15)

3. 11u−15=3u−13 (Simplify 3u-12-13u−12−1 to 3u-133u−13)

4. 11u=3u−13+15 (Add 1515 to both sides)

5. 11u=3u+2 ( Simplify 3u-13+153u−13+15 to 3u+23u+2)

6. 11u−3u=2 ( Subtract 3u3u from both sides)

7. 8u=2 ( Simplify 11u-3u11u−3u to 8u)

8. u= 2/8 (Divide both sides by 8)

9.u=1/4 (Simplify 2/8 to 1/4)

You might be interested in

( 16,856.70/ X) = 1.3362

tigry1 [53]

Answer:

x=12615.4019

Step-by-step explanation:

16856.70x=1.3362

So: x = 16856.7/1.3362

x=12615.4019

5 0

3 years ago

Who is your celebrity crush? (I'm doing a project where I have to graph the results)

Umnica [9.8K]

Answer:

Females: Dua Lipa, Selena Quintanilla, Anna Chlumsky, Alicia Keys

Ngl they were only good looking young, Male: Liams Hemsworth, Ryan Reynolds, Leonardo DiCaprio (aged bad bad)

7 0

3 years ago

Read 2 more answers

Put the equation in standard form with a positive X coefficient. y-5 = -2 (x+6)

iVinArrow [24]

The answer is 2x+y+7=0.

3 0

4 years ago

A rectangular garden measures 21ft by 29ft . Surrounding (and bordering) the garden is a path 3ft wide. Find the area of this pa

disa [49]

The answer is 159. You can just add three to the measurements and then subtract the original shape.

5 0

4 years ago

6. (4.2.12) Of the items manufactured by a certain process, 20% are defective. Of the defective items, 60% can be repaired. a. F

nata0808 [166]

Answer:

(a) Probability that a randomly chosen item is defective and cannot be repaired is 8%.

(b) Probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired is 0.2711.

Step-by-step explanation:

We are given that of the items manufactured by a certain process, 20% are defective. Of the defective items, 60% can be repaired.

Let Probability that item are defective = P(D) = 0.20

Also, R = event of item being repaired

Probability of items being repaired from the given defective items = P(R/D) = 0.60

So, Probability of items not being repaired from the given defective items = P(R'/D) = 1 - P(R/D) = 1 - 0.60 = 0.40

(a) Probability that a randomly chosen item is defective and cannot be repaired = Probability of items being defective $\times$ Probability of items not being repaired from the given defective items

= 0.20 $\times$ 0.40 = 0.08 or 8%

So, probability that a randomly chosen item is defective and cannot be repaired is 8%.

(b) Now we have to find the probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 20 items

r = number of success = exactly 2

p = probability of success which in our question is % of randomly

chosen item to be defective and cannot be repaired, i.e; 8%

LET X = Number of items that are defective and cannot be repaired

So, it means X ~ $Binom(n=20, p=0.08)$

Now, Probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired is given by = P(X = 2)

P(X = 2) = $\binom{20}{2} \times 0.08^{2} \times (1-0.08)^{20-2}$

= $190 \times 0.08^{2} \times 0.92^{18}$

= 0.2711

Therefore, probability that exactly 2 of 20 randomly chosen items are defective and cannot be repaired is 0.2711.

6 0

3 years ago