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Bogdan [553]
3 years ago
11

Which of the following is a rational number?

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Answer:

The answer is B

storchak [24]3 years ago
4 0

Answer: B

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

All you need to do is find which of following is a whole number or integer.

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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{4}{\sqrt{11}} = 1.2060

Now, we multiply T and s

M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
A truck has a total of b pounds of fruit in n identical boxes. How many
inysia [295]
The answer would be about
4 0
3 years ago
Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add
Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
Solve for the unknown values <br><br> X = ?<br> Y = ?
vovikov84 [41]

Step-by-step explanation:

So 95 is a linear pair. a linear pair adds up to 180 so 180 - 95 = 85

X = 85

y = 50

5 0
3 years ago
Can you please help with this question about exponential equations?
RSB [31]

Since t represents the number of years passed since 2005, in 2005 we have t=0, and in 2015 we have t=10. Let P_J(y),P_D(y) represent the profits of Jones and Davis, respectively, at year y.

We have

P_J(2005) = 10(0.99)^0 = 10,\quad P_J(2015) = 10(0.99)^{10}\approx 9

P_D(2005) = 8(1.01)^0 = 8,\quad P_D(2015) = 8(1.01)^{10}\approx 9

Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor 0.99^t goes to zero as t grows.

On the other hand, Davis starts with a smaller value, but 1.01^t tends to infinity as t grows.

So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.

More precisely, we have

8\cdot 1.01^t = 10\cdot 0.99^t \iff 0.8 = \left(\dfrac{0.99}{1.01}\right)^t \iff t\approx 11

So, after 11 years, Davis will overcome Jones.

3 0
3 years ago
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