All categories

2 years ago

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all

Mathematics

1 answer:

Sveta_85 [38]2 years ago

7 0

Answer:

Step-by-step explanation:

there are a possible 6 combinations for a sum of 7:

1,6

6,1

2,5

5,2

3,4

4,3

so we can create this proportion:

7/36 = n/216

n = # times to roll a sum of 7 out of 216

now cross-multiply:

36n = 1512

n = 1512/36

n = 42

You might be interested in

Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms

Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: $a_n=a_1r^{n-1}$

We have a₁=26 and r = 0.5 n=10

$a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051$

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: $S_n=\frac{a(1-r^n)}{1-r}$

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

$S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48$

So, sum of first 18 terms of given sequence is 51.48

6 0

3 years ago

1. How much work is done when a 65 newton force moves a block 5 meters?

Alik [6]

Answer:

i am not sure but i might know how to do it

Step-by-step explanation:

work is described as taking place when a force acts upon an object to cause a displacement. When a force acts to cause an object to be displaced, three quantities must be known in order to calculate the work. Those three quantities are force, displacement and the angle between the force and the displacement. The work is subsequently calculated as force•displacement•cosine(theta) where theta is the angle between the force and the displacement vectors. In this part of Lesson 1, the concepts and mathematics of work will be applied in order to analyze a variety of physical situations

8 0

3 years ago

Urgent! Two questions! (Pre Calc) (30 points)

mina [271]

Problem One
Sin(90 + q) = sin(90)*cos(q) + sin(q)*cos(90)
sin(90 + q) = 1 * cos(q) + sin(q)*0
sin(90 + q) = cos(q)

You can elimate anything beginning with Cos
You can also eliminate the sin function with a minus between it.

Problem 2
Sin(x) = 1/csc(x) That makes C and D incorrect.
Correct answer has to be A. Since this is a multiple choice question you can't qualify the answer, but there are some points that exhibit questionable behavior, like 2 $\pi$ *f*t = 0 for example. The function becomes undefined.

4 0

3 years ago

A lap around a school track equals

Rom4ik [11]

B if you need an explain I can do it

3 0

3 years ago

Read 2 more answers

Find the discriminant of the equation and give the number and type of solutions of the equation 4x^2+2x-5=0

nlexa [21]

Answer:

The answer is 84.

Step-by-step explanation:

The given equation is

4x*2 + 2x -5 = 0

Here a= 4, b= 2, c= -5

Since Discriminant= b*2 -4ac

Putting values

Discriminant= (2)*2 - 4(4)(-5)

= 4 + 80

= 84

Since our Discriminant(84) is >0 and is not a perfect square so the roots of the given equation are unequal and irrational(real).

4 0

3 years ago