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3 years ago

What is 43.586 rounded to the nearest tenth

2 answers:

8 0

43.586 rounded to the nearest tenth is 43.60 because the number in the tenth place is 5 but the number to right of it is greater than 5.

gayaneshka [121]3 years ago

5 0

It want's the .0 decimal place so.

43.6 remember when the number behind it is greater than or equal to 5 you round up.

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Help me plzz I need help with this!!

Anni [7]

Answer:

expanded it would be 0.05 x 50 + 0.05 x 40

Step-by-step explanation:

5 0

3 years ago

Which number line represents all of the values of x for the equation x2 = 49?

Contact [7]

Hello,

x²=49
==>(x+7)(x-7)=0
x=7 or x=-7

4 0

3 years ago

The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it

lubasha [3.4K]

Answer:

a. 10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. 0.2457 = 24.57% probability 10 of the problems can be resolved today

c. 0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today

d. 0.5017 = 50.17% probability more than 10 of the problems can be resolved today

Step-by-step explanation:

For each case, there are only two possible outcomes. Either they are solved, or they are not. Cases are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

It can resolve customer problems the same day they are reported in 80% of the cases.

This means that $p = 0.8$

Sample of 13 cases:

This means that $n = 13$

a. How many of the problems would you expect to be resolved today? What is the standard deviation?

Expected:

$E(X) = np = 13*0.8 = 10.4$

Standard deviation:

$\sqrt{V(X)} = \sqrt{13*0.8*0.2} = 1.44$

10.4 problems are expected to be resolved today, with a standard deviation of 1.44 problems.

b. What is the probability 10 of the problems can be resolved today?

This is $P(X = 10)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457$

0.2457 = 24.57% probability 10 of the problems can be resolved today.

c. What is the probability 10 or 11 of the problems can be resolved today?

This is $p = P(X = 10) + P(X = 11)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{13,10}.(0.8)^{10}.(0.2)^{3} = 0.2457$

$P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680$

$p = P(X = 10) + P(X = 11) = 0.2457 + 0.2680 = 0.5137$

0.5137 = 51.37% probability 10 or 11 of the problems can be resolved today.

d. What is the probability more than 10 of the problems can be resolved today?

This is

$P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{13,11}.(0.8)^{11}.(0.2)^{2} = 0.2680$

$P(X = 12) = C_{13,12}.(0.8)^{12}.(0.2)^{1} = 0.1787$

$P(X = 13) = C_{13,13}.(0.8)^{13}.(0.2)^{0} = 0.0550$

$P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) = 0.2680 + 0.1787 + 0.0550 = 0.5017$

0.5017 = 50.17% probability more than 10 of the problems can be resolved today

6 0

3 years ago

David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could

White raven [17]

Answer: David has 11 DVDs and 27 books.

Step-by-step explanation:

When numbers are put in ratio form they are meant to compare their relative sizes.

The first number will be the first item being compared to the other.

For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be; 2:3. The ratio of your pencils to your pens however is 3:2.

In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.

6 0

3 years ago

Someone Please Help Evaluate the function for the given value of x. y = 3; x= 2.

Inga [223]

Answer:

Hello! answer: 9

Step-by-step explanation:

3 × 3 = 9

3² = 9

4 0

3 years ago

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