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Anon25 [30]
2 years ago
15

Select all that justify the following statement. 8•1/8+(-1)+5=5

Mathematics
2 answers:
Lisa [10]2 years ago
7 0

The statments that justify this eqaution would be:

inverse - addition

inverse - multiplication

Ulleksa [173]2 years ago
7 0

Answer:

Option A, F and G are correct.

Step-by-step explanation:

Given the expression

8.\frac{1}{8}+(-1)+5=5          

We have to select the statement that justify the above expression.

LHS is

8.\frac{1}{8}+(-1)+5

\text{Here, }\frac{1}{8} \text{is the inverse of 8 which is to be multiplied}

∴ inverse-muliplication  

Now, there are 3 terms

1+(-1)+5 which is to be solved

Now, first two are to be added i.e

Associative-addition and commutative-addition takes place.

Hence, option A, F and G are correct.

     

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Virgil has 1/6 of the original cake, which he wants to divide into 4 parts. Thus:
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= 1/6 x 1/4
= 1/24

Each person will receive 1/24 of the original cake.
3 0
2 years ago
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Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a
Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0
2 years ago
Integration by substitution is related to what differentiation​ method? What type of integrand suggests using integration by​ su
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Integration by substitution is an integration method meant to "undo" the chain rule for differentiation. This method is useful for some integrands containing compositions of functions.

For example, substitution is good for finding the antiderivative of 2x•cos(x^2). The quadratic function nested inside the cosine function suggests that substitution might be useful. And it is... the antiderivative is sin(x^2)+C

The answer is Choice C.
6 0
2 years ago
Read 2 more answers
Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to wi
Helen [10]

Answer:

0.46 (46%)

Step-by-step explanation:

We have the following data:

- Probability that player V wins the first set:

p(1)=0.50

(because the text says the two players are equally likely to win the first set)

- Probability that player V wins the 2nd set if he has won the 1st set:

p(2|1)=0.60

So, the probability that player V wins the first 2 sets is:

p(12)=p(1)\cdot p(2|1)=(0.50)(0.60)=0.30 (1)

Instead, the probability that player V loses the 2nd set if he has won the 1st set is 0.40 (=1-0.60), so

p(2^c|1)=0.40

So, the probabiity that player V winse the 1st set but loses the 2nd set is

p(12^c)=p(1)\cdot p(2^c|1)=(0.50)(0.40)=0.20 (2)

Also, we have:

- Probability that player V loses the 1st set:

p(1^c)=0.50

- Probability that she will lose the 2nd set in this case is 0.70, it means that the probability that she will win the 2nd set if she lost the 1st set is 0.30, so:

p(2|1^c)=0.30

So, the probability that she will lose the 1st set and win the 2nd set is:

p(1^c2)=p(1^c)\cdot p(2|1^c)=(0.50)(0.30)=0.15 (3)

Combined together (2) and (3), this means that the probability that player V wins exactly 1 set out of the first two sets is:

p(1/2)=p(12^c)+p(1^c2)=0.20+0.15=0.35 (4)

At this point, the probability that she will win the 3rd set is

p(3)=0.45

This means that the overall probability that she will win the 3rd set if she won exacty 1 of the first 2 sets is:

p(1/2,3) = p(1/2)\cdot p(3)=(0.35)(0.45)=0.16 (5)

So, the overall probability that player V will win a match against player M is the sum of (1) and (5):

p(W)=p(12)+p(1/2,3)=0.30+0.16=0.46

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2 years ago
Use the appropriate normal distribution to approximate the resulting binomial distributions. A convenience store owner claims th
Naddika [18.5K]

Answer:

0.9256

Step-by-step explanation:

Given that a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit

Let X be the number of customers who buy from her store, on a certain day of the week, buy coffee during their visit

X is Binomial (35, 0.55)

since each customer is independent of the other and there are two outcomes.

By approximation to normal we find that both np and nq are >5.

So X can be approximated to normal with mean = np = 19.25

and std dev = \sqrt{npq} \\=2.943

Required probability = prob that fewer than 24 customers in the sample buy coffee during their visit on that certain day of the week

= P(X (after effecting continuity correction)

= 0.9256

6 0
2 years ago
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