All categories

3 years ago

A pair of dice is rolled. These means two dice cubes, numbered 1-6 for

1 answer:

6 0

The answer is 1/6.

With two dice, there are two possibilities to get 13. The first possibility is if dice 1 lands on 6 whilst dice 2 lands on 7. The second possibility is if dice 1 lands on 7 and dice 2 lands on 6. 2/12 simplifies to 1/6

You might be interested in

What is the root of the polynomial equation x(x-2)(x+3)=18? Use a graphing calculator and a system of equations.

andre [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Expand the polynomial and simplify: (4xy− 1 8 y^2)^2

Vinvika [58]

Answer: $4y^{2}(2x-9y)^{2}$

Step-by-step explanation:

We have the following polynomial:

$(4xy-18y^{2})^{2}$

This is a polynomial of the form $(a-b)^{2}=a^{2}-2ab+b^{2}$ . Following this rule to expand it, we have:

$(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}$

$16x^{2}y^{2}-144xy^{3}+324y^{4}$

Applying common factor $4y^{2}$ :

$4y^{2}(4x^{2}-36xy+81y^{2})$

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to $(2x-9y)^{2}$ . Hence, the final simplification is:

$4y^{2}(2x-9y)^{2}$

3 0

3 years ago

The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with a standard deviation of

juin [17]

Answer:

I 90%(μ)= [69.648;71.951]

Step-by-step explanation:

The confidence interval formula is:

I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqr(n)]

alpha= is the proposition of the distribution tails that are outside the confidence interval. In this case, 10% because 100-90%

Z(5%)= is the critical value of the standardized normal distribution. In this case is 1.645

σ= standard deviation. In this case 2.8 inches

mean= 70.8 inches

n= number of observations

Then, the confidence interval (90%):

I 90%(μ)= 70.8+- [1.645*(2.8/sqr(16))

I 90%(μ)= 70.8+- [1.1515)

I 90%(μ)= [70.8-1.1515;70.8+1.1515]

I 90%(μ)= [69.6485;71.9515]

I 90%(μ)= [69.648;71.951]

3 0

3 years ago

When graphing the first line of the system of equations, what do you plot first on the coordinate plane?

olya-2409 [2.1K]

Answer:

Option B, y intercept of -4

Step-by-step explanation:

Option A is incorrect because you cannot use the slope because you don't know where or what point to start from.

Option B is correct because the first thing you do is plot the y intercept of -4 and then you find the slope of the line.

Option C is incorrect because you cannot use the slope because you don't know where or what point to start from.

Option D is incorrect because that is the wrong y intercept.

Answer: Option B, y intercept of -4

5 0

3 years ago

Read 2 more answers

If sin 2X = COS ZY and m2X = 72°, what is the measure of ZY? 18° 072° 90° 108°

KATRIN_1 [288]

Answer:

18°

Step-by-step explanation:

sin 2x=cos zy

m(2x)=72°

cos(π/2-a)=sin a

cos(π/2-72°)=sin72°

cos18°=sin72°

=>m(zy)=18°

5 0

3 years ago

Read 2 more answers