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astra-53 [7]
3 years ago
14

Solve for s 1/3 s = 7

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

21

\frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21

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500ml bottle unit cost is $2.10
borishaifa [10]
If you would like to know what is the unit price for the hair shampoo, you can calculate this using the following steps:

500 ml ... $2.10
100 ml ...$x = ?

500 * x = 2.10 * 100    /500
x = 2.10 * 100 / 500
x = $0.42

The unit price for the hair shampoo is $0.42.
3 0
3 years ago
Is it possible to create two triangles with congruent side lengths but different angle measurements?
kotykmax [81]
Yes. If the side lengths are different, you can end up with different angle measurements (example: SSA~ property. You can have two sides that are the same but you can make two different triangles with those side lengths and that one angle.)
8 0
3 years ago
Find the critical value t a/2 needed to construct a confidence interval of the given level with the given sample size. level 95%
stepan [7]
Α = 1- (95/100) = 1-0.95 = 0.05

p = 1- α/2 = 1- 0.05/2 = 1-0.025 = 0.975

Degrees of freedom, df = Sample size -1 = 11-1 = 10

From t-tables, with cumulative probability pf 0.975 and df of 10,
Critical value = 2.228
7 0
3 years ago
Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but inc
nordsb [41]

Answer:

a) X is binomial with n = 10 and p = 0.3

Y is binomial with n = 10 and p = 0.7

b) The mean number of errors caught is 7.

The mean number of errors missed is 3.

c) The standard deviation of the number of errors caught is 1.4491.

The standard deviation of the number of errors missed is 1.4491.

Step-by-step explanation:

For each typing error, there are only two possible outcomes. Either it is caught, or it is not. The probability of a typing error being caught is independent of other errors. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

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)}

10 word errors.

This means that n = 10

(a) If X is the number of word errors missed, what is the distribution of X ?

Human proofreaders catch 70 % of word errors. This means that they miss 30% of errors.

So for X, p = 0.3.

The answer is:

X is binomial with n = 10 and p = 0.3.

If Y is the number of word errors caught, what is the distribution of Y ?

Human proofreaders catch 70 % of word errors.

So for Y, p = 0.7.

The answer is:

Y is binomial with n = 10 and p = 0.7

(b) What is the mean number of errors caught?

E(Y) = np = 10*0.7 = 7

The mean number of errors caught is 7.

What is the mean number of errors missed?

E(X) = np = 10*0.3 = 3

The mean number of errors missed is 3.

(c) What is the standard deviation of the number of errors caught?

\sqrt{V(Y)} = \sqrt{np(1-p)} = \sqrt{10*0.7*0.3} = 1.4491

The standard deviation of the number of errors caught is 1.4491.

What is the standard deviation of the number of errors missed?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.3*0.7} = 1.4491

The standard deviation of the number of errors missed is 1.4491.

6 0
3 years ago
If a book cost $5 and the sales tax rate is 6.5%, how much would the book cost?
marin [14]

Answer:

$5.33

Step-by-step explanation:

6 0
3 years ago
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