All categories

2 years ago

CAN SOMEONE PLS HELP ME WITH THIS? ITS SO URGENT (Pls show solution too)

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

4 0

Answer:

Step-by-step explanation:

t + u = 11 ----------- (1 )

10t + u = 10u + t - 9

10t + u - 10u - t = -9

10t - t + u - 10u = - 9

Combine like terms

9t - 9u = -9

Divide the entire equation by 9

$\dfrac{9}{9}t-\dfrac{9}{9}u=\dfrac{-9}{9}$

t - u = -1 --------------(2)

Add equation (1) & (2) and so, u will be eliminated and we can find the value of t

(1) t + u = 11

(2) t - u = -1

2t = 10

t = 10/2

t = 5

Plugin t = 5 in equation (1)

5 + u = 11

u = 11 - 5

u = 6

The original number is 56

You might be interested in

Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol

aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let A = boards have solder defects and B = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

$P(A\cap B)=P(A)\times P(B)$

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

$=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09$

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

$P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018$

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

$P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118$

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0

3 years ago

8x = 96 How would I solve for x

Vaselesa [24]

How to solve your problem

6 0

2 years ago

Read 2 more answers

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of

pashok25 [27]

Answer:

6 11/24

Step-by-step explanation:

Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa

7 0

2 years ago

Which expression iS equivalent to (a^8)^4

mario62 [17]

Answer:

Step-by-step explanation:

What are the nasser choices

8 0

2 years ago

Read 2 more answers

James reads that 1 out of 6 eggs contains salmonella bacteria. So he never uses more than 5 eggs in cooking. If eggs do or don't

Dmitrij [34]

Answer:

B. binomial with n = 5 and p = 1/6

Step-by-step explanation:

Given that James reads that 1 out of 6 eggs contains salmonella bacteria.

So he never uses more than 5 eggs in cooking.

If eggs do or don't contain salmonella independently of each other, then

probability for any one egg to contain salmonella bacteria is the constant 1/6.

Also there are only two outcomes, either bacteria present or not.

Hence the number of contaminated eggs when James uses 5 chosen at random has the distribution is Binomial

Here n = no of trials = no of eggs he uses = 5

Probability = 1/6

So option B is right.

3 0

3 years ago