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3 years ago

Find P(not rolling 1, 3, 4, or 5) with one number cube.

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

6 0

The event "not rolling 1, 3, 4, or 5" is the same event as "rolling 2 or 6".

Since the possible outcomes of a number cube have the same probability, the probability of rolling 2 or 6 is given by

$\dfrac{\text{\# of good outcomes}}{\text{\# of possible outcomes}}=\dfrac{2}{6}=\dfrac{1}{3}$

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A recipe says it produces the best sweet tea. In addition to using tea bags, the recipe calls for 12 cup of sugar for every 112

san4es73 [151]

Answer:

Step-by-step explanation:

Answer:

The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)

Step-by-step explanation:

Given;

number of cups of sugar = s

number of cups of water = w

The relationship between the number of cups of water and sugar in this recipe is given as;

½ cup of sugar is proportional to 1 ½ cups of water

Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)

8 0

3 years ago

Use The Scale Factor 1:12 To Find The Missing Dimension

adell [148]

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

$\frac{1}{12}$

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

$1\ ft=12\ in$

1 inch in the model represent 1 ft in the actual

The scale factor is

$\frac{1}{1}\ \frac{in}{ft}$

therefore

21 ft in the actual represent 21 inches in the model

6 0

3 years ago

How do I solve this equation to get the solution?<br><br> y= -2x - 1<br><br> -3x + 6y = 24

swat32

There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property.

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
x = - 2.

Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
y = 4 - 1
y = 3

Your answer is (- 2, 3)

6 0

3 years ago

A couple intends to have two children, and suppose that approximately 52% of births are male and 48% are female.

Pachacha [2.7K]

a) Probability of both being males is 27%

b) Probability of both being females is 23%

c) Probability of having exactly one male and one female is 50%

Step-by-step explanation:

The probability that the birth is a male can be written as

$p(m) = 0.52$ (which corresponds to 52%)

While the probability that the birth is a female can be written as

$p(f) = 0.48$ (which corresponds to 48%)

Here we want to calculate the probability that over 2 births, both are male. Since the two births are two independent events (the probability of the 2nd to be a male does not depend on the fact that the 1st one is a male), then the probability of both being males is given by the product of the individual probabilities:

$p(mm)=p(m)\cdot p(m)$

And substituting, we find

$p(mm)=0.52\cdot 0.52 = 0.27$

So, 27%.

In this case, we want to find the probability that both children are female, so the probability

$p(ff)$

As in the previous case, the probability of the 2nd child to be a female is independent from whether the 1st one is a male or a female: therefore, we can apply the rule for independent events, and this means that the probability that both children are females is the product of the individual probability of a child being a female:

$p(ff)=p(f)\cdot p(f)$