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3 years ago

Solve for x!

2 answers:

7 0

First multiply by 9x. 7 = 378x. Divide each side by 378 to isolate x. 1/54 = x. Check your answer: 7/(1/6) does indeed equal 42.

attashe74 [19]3 years ago

6 0

I'm assuming you meant (7/9)x = 42.

If that's correct, then we can quickly and easily solve for x by multiplying both sides of this equation by 9/7:

(9/7)(7/9)x = (9/7)(42) = 54. x = 54

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A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

3 0

1 year ago

35 into binary number<br>

vodka [1.7K]

Answer:

35 in binary is 100011.

Step-by-step explanation:

To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.

4 0

3 years ago

Read 2 more answers

Please answer the following:

konstantin123 [22]

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

3 0

3 years ago

Read 2 more answers

Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airline offers a rou

Finger [1]

Answer:

a. The Mexican Airline offers a better deal for 9 students to travel.

b. 10 students

Step-by-step explanation:

a. The Mexican Air airline offers a round trip airfare of $250 per person.

So, for 9 students the fare will be total $(250 × 9) = $2250

Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.

So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.

Therefore, the Mexican Airline offers a better deal for 9 students to travel. (Answer)

b. Let for x students both the airline offers the same total costs.

Then we can write

250x = 1000 + 150x {From the conditions given}

⇒ 100x = 1000

⇒ x = 10

So, if the number of students is 10, then only both the airlines will take same fare. (Answer)

8 0

3 years ago

What expression can be used to find the total discount? Select all that apply. 0.3*42 or 3/10*42 or 0.03*42 or 3 *4.2

ehidna [41]

0.3*42 this gives you a 30% discount

3/10*42 this gives you a 30% discount

0.03*42 this gives you a 3% discount

3 *4.2 This is not a discount

6 0

3 years ago