What are the main units of length in the US.

Find the value of x and the value of y ?

olganol [36]

Answer:

B) x = 7, y = 4 $\sqrt{2}$

Step-by-step explanation:

you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units

you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4 $\sqrt{2}$

to find 'x', it is the sum of 3 and 4

7 0

2 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

2 years ago

The drill team is buying new uniforms. The table shows y, the total cost in dollars, and x, the number of uniforms purchased.

Ierofanga [76]

Answer:

A: Yes, the relationship is linear.

Step-by-step explanation:

1=60, so we can assume that 3=180 because 60x3=180. we can use this strategy for the rest of the data and confirm that the line has a consistent slope of 60/1.

8 0

3 years ago

Which of the following properties is a(b · c) = (a · b)c an example of?

e-lub [12.9K]

a(b · c) = (a · b)c

answer
associative property

3 0

3 years ago

Read 2 more answers

Solve the system by substitution. y = -X y = - 4x + 12

bulgar [2K]

Answer:

The answer is ( - 8, 8) in point form or in x = -8 , y= 8 in equation form.