MATHEMATICS COLLEGE

Describe which strategy you would use to divide 48 by 8

Answers

Answer 1
Answer: You can use a real life problem to solve the question like so:

Say for example you have 48 marbles and you want to gift an EQUAL amount to your 8 friends. You can equally give them out by giving one to each friend until you run out. Therefore, you are dividing 48 marbles amongst 8 people.

You would give 6 to each friend.

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Can so one help me solve this, pleaseMatch the given phrase with the equivalent algebraic expression.

- A. B. C. D.
The product of -12 and a number

- A. B. C. D.
The quotient of -12 and a number

- A. B. C. D.
Twice the sum of -12 and a number

- A. B. C. D.
The sum of -12 and twice a number

A.
2 open parentheses negative 12 plus x close parentheses

B.
fraction numerator negative 12 over denominator x end fraction

C.
negative 12 plus 2 x

D.
negative 12 x

Answers

Answer:

See explanation below

Step-by-step explanation:

We are going to transform the given phrase to an equivalent algebraic expression, let's x be a number:

a) The product of -12 and a number (we have to multiply)

(-12)x = -12x

b) The quotient of -12 and a number (quotient means division)

(-12)/(x)

c) Twice the sum of -12 and a number (we're going to sum up -12 and a number and then multiply by 2)

2(-12 + x)

d) The sum of -12 and twice a number (we're going to sum up -12 and the double of the number)

-12 + 2x

Which expressions represent rational numbers? Check all that apply.

Answers

The answers are numbers two and four.

Answer:

Step-by-step explanation:

NVM ITS WRONG

A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales and (2) store sales. The marketing research manager believes that the Internet sales are more than 10 percent higher than store sales. The alternative hypothesis for this problem would be stated as:

Answers

Therefore the correct  answer is for the alternative hypothesis is,

H_1:P_(internet)-P_(store)\leq0.10

Null Hypothesis:

A null hypothesis is a theory that assumes there is no statistical importance between the two variables in the hypothesis.

Let P_(internet) be the proportion of the internet sales and P_(store) be the proportion of the store sales.

The researchers claim is that ''the internet sales are more than 10% higher than store sales''.

The alternative hypothesis is,

H_1:P_(internet)-P_(store)\leq0.10

The opposite of alternative hypothesis is,

H_0:P_(internet)-P_(store)\leq0.10

It can be observed that the alternative hypothesis contains greater than a symbol.

Learn more about the topic Null Hypothesis:

brainly.com/question/19132215

Answer:

H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10

Step-by-step explanation:

We are given the following in the question:

Let P_{\text{Internet}} be the proportion of the internet sales and P_{\text{Store}} be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

H_(0): P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\nH_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

Express the given cartesian co-ordinate as polar co-ordinate correct to 2 decimal places a.(3,5) b.(6.18,2.35) c.(-2,4) d.(9.6,-12.4)e(-2.4,-3.6)​

Answers

Answer:

hi .................

The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?

Answers

Correct answer is: P(x<6) is 0.123 and it is usual.

Solution:-

Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90

Then probability of individual takes less than 6 minutes is

P(X<6) = P(z<(x-mean)/(standard deviation) )

           = P(z<(6-8.21)/(1.90) )=P(z<-1.163)

           = 0.1230

Typically we say an event with a probability less than 5% is unusual.

But here P(X<6) = 0.123 is greater than 5% hence this is usual.

2. From the definition of the derivative (definition 5.3), find the derivative for each of the following functions: (a) f(x) = 6x (b) f(x) = 12x – 2 (c) f(x) = kx² for k a constant

Answers

Answer:

a) f'(x)=6

b) f'(x)=12

c) f'(x)=2kx

Step-by-step explanation:

To find :  From the definition of the derivative find the derivative for each of the following functions ?

Solution :

Definition of the derivative is

f'(x)= \lim_(h \to 0)((f(x+h)-f(x))/(h))

Applying in the functions,

a)f(x)=6x

f'(x)= \lim_(h \to 0)((6(x+h)-6x)/(h))

f'(x)= \lim_(h \to 0)((6x+6h-6x)/(h))

f'(x)= \lim_(h \to 0)((6h)/(h))

f'(x)=6

b) f(x)=12x-2

f'(x)= \lim_(h \to 0)((12(x+h)-2-(12x-2))/(h))

f'(x)= \lim_(h \to 0)((12x+12h-2-12x+2)/(h))

f'(x)= \lim_(h \to 0)((12h)/(h))

f'(x)=12

c) f(x)=kx^2 for k a constant

f'(x)= \lim_(h \to 0)((k(x+h)^2-kx^2)/(h))

f'(x)= \lim_(h \to 0)((k(x^2+h^2+2xh-kx^2))/(h))

f'(x)= \lim_(h \to 0)((kx^2+kh^2+2kxh-kx^2)/(h))

f'(x)= \lim_(h \to 0)((h(kh+2kx))/(h))

f'(x)= \lim_(h \to 0)(kh+2kx)

f'(x)=2kx
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