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4 years ago

2. Simplify 2(54−1)3 completely. Show as much work as possible for full credit.

Mathematics

2 answers:

poizon [28]4 years ago

7 0

$(2 \times 54 - 2)3 = 108 - 2 \times 3 = 106 \times 3 = 318$

Rom4ik [11]4 years ago

6 0

Answer:

$\boxed{\bold{318}}$

Step By Step Explanation:

Calculate Within Parenthesis: $\bold{(54-1)}$

$\bold{53}$

Rewrite Equation

$\bold{2\cdot \:53\cdot \:3}$

Multiply: $\bold{2\cdot \:53\cdot \:3}$

$\bold{318}$

➤ $\boxed{\bold{Mordancy}}$

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Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

Leto [7]

Answer:

2.45c + 1.65c = 4.12 + 0.75

Step-by-step explanation:

To write an equation to find the value for c, we need to declare what c is first.

c = price of fruit

2.45c + 1.65c = 4.12 + 0.75

Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.

Now to check if the equation is right, let's solve for c.

2.45c + 1.65c = 4.12 + 0.75

4.1c = 4.87

Now to get the value of c, we divide both sides of the equation by 4.1.

$\dfrac{4.1c}{4.1}=\dfrac{4.87}{4.1}$

c = 1.19

Now let's substitute the value of c in the equation to see if we got it right.

2.45(1.19) + 1.65(1.19) = 4.12 + 0.75

2.92 + 1.96 = 4.87

4.87 = 4.87

Therefore concluding that the value of c is 1.19.

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4 years ago

The value of y varies directly with x. If x = 2, then y = 10. What is the value of x when y = 100? *

Fynjy0 [20]

Answer:

Step-by-step explanation:

y=kx

X=2 & y= 10

10=2k

k=5

when y=100

100=5x

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3 years ago

21 divided by 15.015 step my step diving decimals

ser-zykov [4K]

Answer:

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Step-by-step explanation:

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3 years ago

Lin solved the equation 8(x - 3) + 7 = 2x(4 - 17) incorrectly. Identify the TWO errors Lin made while solving.

Arlecino [84]

Answer:

when she subtracts 8x to 26 and dividing

Step-by-step explanation:

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3 years ago

Read 2 more answers

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago