X= W 12 х y 10 X 4 8

The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10

Keith_Richards [23]

Answer: D. -0.6

Step-by-step explanation:

Z score formula= x-mean/ SD

34-40/10= -3/5= -0.6

6 0

3 years ago

By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji

Dafna11 [192]

Answer:

There are a total of ${ 6 \choose 3} = 20$ functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

${6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20$

3 0

2 years ago

Anyone for 10 points??!!! The question is in the image Thanks But answer ASAP!

ivanzaharov [21]

Bottom Side Surface Area:

(24 inches + 24 inches + 24 inches) * (30 inches)

= 72 inches * 30 inches

= 2160 inches squared

--------

Top Side Surface Area:

24 inches * 30 inches

= 720 inches squared

--------

Length of the diagonal (D) which needs to be measured:

*Use Pythaogras's theorem...

24^2 + 10^2 = D^2

D=√(24^2+10^2)

D=26 inches

------------

Measure the surface area of the two ramps:

26 inches * 30 inches * 2

= 1560 inches squared

-----------

Total surface area:

2160 inches squared + 720 inches squared + 1560 inches squared

= 4440 inches squared

---------

Answer:

4440 square inches

8 0

3 years ago

The first two terms of a sequence are 5 and 7. Each term after the second is found by taking the average (arithmetic mean) of al

ch4aika [34]

Answer:

6

Step-by-step explanation:

We can prove that every number after the second will be a six by induction.

Base case. Since $\frac{5 + 7}{2} = 6$ , so the third term is a six.

Inductive hypothesis. Fix the number of terms to be n and assume that

$\frac{1}{n} \sum\limits_{i=1}^{n}t_i = 6$

Inductive step. We will now show that $\frac{1}{n+1} \sum\limits_{i=1}^{n+1}t_i = 6$ .

Notice that

$\begin{array}{lll}\frac{1}{n+1} \sum\limits_{i=1}^{n+1}t_i & = \frac{n}{n(n+1)} \sum\limits_{i=1}^{n+1}t_i & \\& = \frac{t_{n+1}}{n+1} + \frac{n}{n(n+1)} \sum\limits_{i=1}^{n}t_i &\\& = \frac{t_{n+1}}{n+1} + \frac{6n}{n+1} & \text{(by the IH)}\\& = \frac{6}{n+1} + \frac{6n}{n+1} & \text{by de\\finition}\\& = \frac{6(n+1)}{n+1} & \\& = 6 & \end{array} \square$

6 0

2 years ago

The diameter of a circle is 4cm. Which equation can be used to find its circumference? A. C=pi x2 B. C=pi x 4 C. C=pi x 4/2 D. C

rodikova [14]

Answer:

d is correct

Step-by-step explanation:

8 0

2 years ago