If for sets A and B there exists a injective function but not bijective function from A to B then a) Cardinality of A is stricly greater than B b) Cardinality of B is strictly greater than A c) Cardinality of B is equal to A d) None of the mentioned

Answers

Answer 1

Answer:

Ans. b) Cardinality of B is strictly greater than

What are sets?

In mathematics, a group or collection of certain items is referred to as a set.

Given, for sets A and B there exists an injective function but not a bijective function from A to B. If there is no bijective function from A to B, then B's cardinality is strictly bigger than A's since certain items in B have no preimage in A.

Therefore answer b) Cardinality of B is strictly greater than is correct

learn more about sets here:

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Answer 2

Answer:

No question asked? Maybe include all of the information given.

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The sum of two intcgers is -6. If one of them is 2, then the other is(a) 4
(b) 4
(c) 8
(d) -8

Answers

Answer:

D) -8

Step-by-step explanation:

If you add a positive and a negative, you end up subtracting. If your sum is lower than any of the numbers you are adding together, then there is a negative. In this case, your only negative number is -8, but if there were others, you could find this equation by doing negative six minus two (because the equation was originally addition, it would still be subtraction to check your work or find the answer in this case.)

Hopefully you find this useful :)

Answer: -8

Step-by-step explanation: lets take the unknown number as x,

so we have, 2 + x= -6

by using transposition method, x= -6-2( positive becomes

negative when transpositioning)

so, x= -8

Drag numbers to use a negative factor to factor the expression-5g+15h-25

Answers

Answer: -5g + 15h - 25 = -5 × (g - h + 5)

Step-by-step explanation:

Step-by-step explanation:

first we do this -5g = -5 × g

then 15h = 5 × 3h

so, -25 = -5 × 5

when -5g + 15h - 25 = -5 × g - (-5 × 3h) + (-5 × 5)

the answer is = -5 × (g - h + 5)

According to the Factors of a Negative Number

First The factors of a number entail all of the numbers that can be multiplied by one another to produce that many numbers.

According to The laws of multiplication that the state when a negative number is multiplied by a positive number then also the product will be negative.

Although when the Factors are those numbers. when it is multiplied with together then the result is another number, which is known as a product.

The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. There are four batteries in a package. What lifetime value is such that the total lifetime of all batteries in a package exceeds that value for only 5% of all packages?

Answers

Answer:

The lifetime value needed is 11.8225 hours.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = (X - \mu)/(\sigma)$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lifetime of a certain type of battery is normally distributed with mean value 11 hours and standard deviation 1 hour. This means that $\mu = 11, \sigma = 1$ .