Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number

You have the choice of logging on at one of two Internet cafés. Their posted rates are as follows: Log-On Café: $5.50 plus $0.15

erastovalidia [21]

1. 5.50 + 0.15 * 45 = 12.25

2. 4 + 0.20 * 45 = 13

So the first option is slightly better, you can save 13-12.25= $0.75.

4 0

3 years ago

Which is a true statement about an isosceles right triangle?

AnnyKZ [126]

Let $l$ be the length of a leg. Using the pythagorean theorem, the hypotenuse is

$h = \sqrt{l^2+l^2}=\sqrt{2l^2}=l\sqrt{2}$

So, the hypotenuse is $\sqrt{2}$ times as long as either leg.

6 0

3 years ago

An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th

lidiya [134]

You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

$P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}$

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

$P(\text{two reds}) = \dfrac{3}{5} \cdot \dfrac{1}{2} = \dfrac{3}{10}$

Finally, the probability of picking two balls of the same colour is

$P(\text{same colour}) = P(\text{two blacks})+ P(\text{two reds}) = \dfrac{1}{10} + \dfrac{3}{10} = \dfrac{4}{10} = \dfrac{2}{5}$

7 0

3 years ago

A survey of 50 retail stores revealed that the average price of a microwave was $375, with a sample standard deviation of $20 (i

OlgaM077 [116]

Answer: d) $369.31 to $380.69

Step-by-step explanation:

Given;

Mean price x= $375

Standard deviation r= $20

Number of retail stores n = 50

Confidence interval of 95%

Z*(95%) = 1.96

Confidence interval = x+/-Z*(r/√n)

= $375+/- 1.96(20/√50)

= $375+/- 5.69

Confidence interval = ($369.31 to $380.79)

5 0

3 years ago

What is the solution to the expression Negative 2 minus 3 minus (negative 4)? A number line going from negative 10 to positive 1

beks73 [17]

The solution of the expression is -1 ⇒ 3rd answer

Step-by-step explanation:

Let us revise some important rules on the number line

If we add number to another number we move to right
If we subtract a number from another number we move to left

∵ The expression is negative 2 minus 3 minus (negative 4)

∵ negative 2 = (-2)

∵ minus means (-)

(-2) minus 3 means move 3 units from (-2) to left, so you will pass -3, -4, and stop at -5

∴ (-2) - 3 = -5

∵ minus (negative 4) = - (-4)

- Remember (-)(-) = (+)

∴ minus (negative 4) = + 4

That means move 4 units to the right from -5, then you will pass -4, -3, -2, and stop at -1

∴ -5 + 4 = -1

∴ The expression (-2) - 3 - (-4) = -1

The solution of the expression is -1

Learn more:

You can learn more about the directed numbers in brainly.com/question/10364988

#LearnwithBrainly

5 0

3 years ago

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