Find the value of this expression if x = 5. x2

How many tiles are in figure 100? . Figure 1 Figure 2 Figure 3

Answer:

202

Step-by-step explanation:

$in\\\\F(1)=4\:dots\\\\F(2)=F(1)+2=4+2=6\:dots\\\\F(3)=F(2)+2=F(1)+2+2=F(1)+2(2)=8\:dots\\\\As\:you\:can\:see\:in\\\\F(n)=F(1)+2(n-1)\\\\So\:with\:n=100\\\\F(100)=F(1)+2(100-1)\\\\F(100)=4+2(100)+2(-1)\\\\F(100)=4+200-2\\\\F(100)=200+2\\\\F(100)=202$

3 0

3 years ago

Read 2 more answers

What is a random sampling

Masja [62]

Random sampling is when you select a random group of people for something.

Ex. Out of a population of 259,096 people, a random sample of 400 people are choosen.

8 0

2 years ago

Sheila is a wildlife biologist. Her daily task is to count the number of wild turkeys and white-tail deer in a large game reserv

Lilit [14]

Given:
wild turkey ; 12 in the first hour and cumulative number increases by 40% per hour
white-tail deer ; 18 in the first hour and 10 deer each hour after that.

wild turkery: 12 * (1.40)^n-1 ; n is the number of hour
white-tail deer: 18 + 10^n-1 ; n is the number of hour

n wild turkey white-tail deer
1 12 18
2 17 28
3 24 38
4 33 48
5 46 58
6 65 68
7 90 78

It would be hour 7 after sunrise that the cumulative count of the turkeys first exceed the cumulative count of the deer.

4 0

2 years ago

6. Write the equation of the line in slope-intercept form given the following:

Juliette [100K]

Answer:

$y=\dfrac{5}{4}x+1$

Step-by-step explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

$y=mx+c$

Given that, a point is (-4,-4)

i.e.

$x=-4,\\y=-4$

Slope, $m =\frac{5}{4}$

Putting the given values in the Slope intercept form equation:

$-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1$

Putting the value of $c$ and $m$ in the slope intercept form:

$y=\dfrac{5}{4}x+1$

3 0

2 years ago

Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of

Lemur [1.5K]

Answer:

a) $P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

b) $P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

c) $P(X$

And if we use the continuity correction we got:

$P(X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,5)$

Where $\mu=25$ and $\sigma=5$

Part a

For this case we want to find this probability:

$P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

And if we use the z score given by:

$z =\frac{x-\mu}{\sigma}$

We got this:

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

Part b

For this case we want this probability:

$P(X \leq 30)$

And if we use the continuity correction we got:

$P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

Part c

For this case we want this probability:

$P(X$

And if we use the continuity correction we got:

$P(X$

3 0

2 years ago

Find the value of this expression if x = 5. x2 – 5