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2 years ago

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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The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other

Law Incorporation [45]

Answer:

-3/2

Step-by-step explanation:

Let x be the missing number

x* $\frac{14}{25}$ = $\frac{-28}{75}$
x = $\frac{-28}{75}$ * $\frac{25}{14}$ inverse 14/25 since it's a fraction
x = $\frac{-28*25}{75*14}$
x = $\frac{-4*7*25}{25*3*7*2}$ write 75 as 25*3 and -28 as -4*7 to simplify
x = $\frac{-4}{6}$ -4 is left on the top and 6 = 3*2
x = $\frac{-3*2}{2*2}$
x= $\frac{-3}{2}$

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2 years ago

A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an

bonufazy [111]

The answer would be 10/2=5

6 0

1 year ago

In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in t

victus00 [196]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that he or she would choose the pair of socks in the center position is $p =\frac{1}{5}$

The correct answer choice is

X has a binomial distribution with parameters n=100 and p=1/5

The mean is $\mu = 20$

The standard deviation is $\sigma=4$

The probability, $P =0.0002$

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

Using the R the probability $Pe = 0.0003$

The probabilities $P \approx Pe$

Step-by-step explanation:

Since the person selects his or her desired pair of socks at random , then the probability that the person would choose the pair of socks in the center position from all the five identical pair is mathematically evaluated as

$p =\frac{1}{5}$

$=0.2$

The mean of this distribution is mathematical represented as

$\mu = np$

substituting the value

$\mu = 100 * 0.2$

$\mu = 20$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np (1-p)}$

substituting the value

$= \sqrt{100 * 0,2 (1-0.2)}$

$\sigma=4$

Applying normal approximation the probability that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random would be mathematically represented as

$P=P(X \ge 34 )$

By standardizing the normal approximation we have that

$P(X \ge 34) \approx P(Z \ge z)$

Now z is mathematically evaluated as

$z = \frac{x-\mu}{\sigma }$

Substituting values

$z = \frac{34-20}{4}$

$=3.5$

So using the z table the $P(Z \ge 3.5)$ is 0.0002

The probability P and Pe that 34 or more subject would choose the center pair is very small So

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

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2 years ago

Jan accidentally ran 7 minutes longer than she was supposed to. Write an expression for the total amount of time Jan ran if she

vovangra [49]

Answer:

m+7

Step-by-step explanation:

If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.

Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.

6 0

2 years ago

Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyron

scoray [572]

18 x 40 = 720 per week.....720 x 4 = 2880 per month earnings

net pay = 0.72(2880) = 2073.60 <=== cash inflow.

how much he spends per month is his cash outflow.

3 0

2 years ago

Read 2 more answers