Help with algebra 2 i dont know how to do this

Answer:

The standard deviation of the number of haunted houses in a large city is 3.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.

According to ghost hunters, large cities have, on average, 9 haunted houses each.

This means that [tex]\mu = 9[/tex]

a) What is the standard deviation of the number of haunted houses in a large city?

Square root of the variance, so:

[tex]\sqrt{9} = 3[/tex]

The standard deviation of the number of haunted houses in a large city is 3.

Answer:

A' = (4, 4)

B' = (12, 4)

C' = (4, 10)

Step-by-step explanation:

Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.

A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4

A' = (4, 4)

B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4

B' = (12, 4)

C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10

C' = (4, 10)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

its the last one i had this question like 5 days ago i am sure

Answer:

option b) is not similar but they have ( mid point theorem) EF parallel to vu

and half of UV

Answer:

Step-by-step explanation:

3/8+1/4

LCM

3/8+2/8

5/8

Answer:

a)

[tex]P(X \leq 1) = 0.01[/tex]

[tex]P(X \leq 2) = 0.03[/tex]

[tex]P(X \leq 3) = 0.15[/tex]

[tex]P(X \leq 4) = 0.40[/tex]

[tex]P(X \leq 5) = 0.82[/tex]

[tex]P(X \leq 6) = 0.98[/tex]

[tex]P(X \leq 7) = 1[/tex]

b)

4.61

c) 1.1579

d) 5 is the third quartile of this distribution.

Step-by-step explanation:

We are given the following discrete distribution:

[tex]P(X = 1) = 0.01[/tex]

[tex]P(X = 2) = 0.02[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.25[/tex]

[tex]P(X = 5) = 0.42[/tex]

[tex]P(X = 6) = 0.16[/tex]

[tex]P(X = 7) = 0.02[/tex]

a. Find the cdf of X.

Probability of X being less of equal to x. Than

[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]

[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]

[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]

[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]

[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]

[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]

[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]

b. Find the expected number of courses a student is taking this semester.

Multiplication of every outcome by its probability.

[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]

c. Find the variance of X.

Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So

[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]

d. Find the third quartile of this distribution.

100*(3/4) = 75th percentile

The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.

Answer:

Factoring 3x2 - 2x - 1

The first term is, 3x2 its coefficient is 3 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .

-3 + 1 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1

3x2 - 3x + 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-1)

Add up the last 2 terms, pulling out common factors :

1 • (x-1)

Step-5 : Add up the four terms of step 4 :

(3x+1) • (x-1)

Which is the desired factorization

Final result :

5xy2 • (x - 1) • (3x + 1)

Answer:

No

Step-by-step explanation:

6^2+4^2=52

7^2=49

49 is not equal to 52, so no it is not a right triangle

Answer:

Step-by-step explanation:

yes yes i can i just need you pitcher the one u put dose not work

Answer:

The slope is -4 and the y-intercept is 8.

Step-by-step explanation:

y+4x=8

y=8-4x

y=-4x+8

y=mx+b where m=slope and b=y-intercept.

Hello!

The equation of this line is written in slope-intercept form (y=mx+b)

Where

m is the slope

b is the y-intercept

m is 4

b is 8

Hope it helps!

If you have any questions, feel free to ask! :)

~An excited gal

[tex]MagicalNature[/tex] here to help

Answer:

533m

Step-by-step explanation:

41x26 divide by 2

A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.

Area of triangle = (1/2) × base × height

Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.

Now, the area of the triangle DNE is,

Area of triangle = (1/2) × base × height

Area of ΔDNE = (1/2) × 41 meters × 26 meters

                        = 533 meters²

Hence, the area of the ΔDNE is 533 meters².

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The answer of this would be 8 feet long.

If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long

answer: 8 feet

Answer:

0.125 cubic feet

Step-by-step explanation:

Since the container has a shape of a cube with a measure of its side 0.5 ft, then;

Volume of the container, V = [tex]s^{2}[/tex]

where s is the measure of its side.

s = 0.5 ft, then;

V = [tex](0.5)^{3}[/tex]

    = 0.125

V = 0.125 cubic feet

The cubic feet of slime that would fit in the container is 0.125.

Answer:

0.00421 centimeters.

Step-by-step explanation:

thats ur answer

Answer:

I believe that your answer would be 2.18527315×10^-1

Simplified would be 2.2×10^-1

Step-by-step explanation:

I hope this helps

Answer:

The length as seen through her binoculars is of 5.2 inches.

Step-by-step explanation:

The length of an ant is 0.52 inches, what is its length as seen through her binoculars?

The binocular is set to enlarge the object 10 times their actual size.

We have that the actual length is 0.52 inches.

0.52*10 = 5.2 inches

The length as seen through her binoculars is of 5.2 inches.

Answer:

D. 1/15

Step-by-step explanation:

Actual tree = 10 ft = 12 × 10 = 120 in.

Model tree = 8 in.

Scale factor = model tree/actual tree

Scale factor = 8/120

Scale factor = 1/15

Answer:

172.8m³

Step-by-step explanation:

1/2(7.2)(4.8)(10)=172.8m³

Answer:

Bottom left graph, ∠a + ∠b = 180°, ∠a + ∠b = 90°, ∠a + ∠b = 90°

Step-by-step explanation:

For the first problem, we can look at the slope. The slope of the equation is negative. The line has to be similar to the bottom slant of the letter "K".

There are two lines that are similar and have the same y-intercept, so it's just a matter of which slope matches.

The slope is -1, so that means to find a different point we go down 1 and right 1.

The only point that's the same on the two lines are (0, 3).

When go down 1 and right 1, the point should be: (1,2)

The only line that satisfy this is the bottom left graph.

For problem 2, ∠a and ∠b must add up to 180°.

So the equation for problem 2 is: ∠a + ∠b = 180°

For problem 3, ∠a and ∠b are equal because they're opposite angles.

So the equation for problem 3 is: ∠a = ∠b

For problem 4, ∠a and ∠b must add up to 90°.

So the equation for problem 4 is: ∠a + ∠b = 90°

For problem 5, ∠a and ∠b must add up to 90°, since the other angle is 90°, which is half to 180°.

So the equation for problem 5 is: ∠a + ∠b = 90°

Answer:

The age of Joey is 4 years  and

The age of Martina is 22 years .

Step-by-step explanation:

Given as :

Martina is 18 years older than her Joey

In 5 years, Martina will be three times older than Joey

Let The age of Martina = M years

And The age of Joey = J years

Now, According to questions

M = J + 18          ........1

(M+5) = 3 × (J+5)

Or, M + 5 = 3 J + 15

Or, M - 3 J = 15 - 5

∴ M - 3 J = 10                ..........2

Solving eq 1 and 2

Put the value of M from eq 1 into eq 2

So, (J + 18) - 3 J = 10

Or, J - 3 J = 10 - 18

Or, - 2 J = - 8

∴ J =

i.e J = 4 years

So, The age of Joey = J = 4 years

Now, Put the value of J in eq 1

So, M = J + 18

Or, M = 4 + 18

∴ M = 22 years

So, The age of Martina = M = 22 years

Hence,The age of Joey is 4 years  and The age of Martina is 22 years . Answer

Hi!!!

B. the point lies directly on the regression line.

Hope this helped!

Have a good day:)

The point lies directly on the regression line.

Option B is the correct answer.

A regression line is a straight line that represents the relationship between two variables in a scatter plot.

In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.

We have,

When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.

If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.

This can occur when the data point falls directly on the regression line, as in option B.

Thus,

The point lies directly on the regression line.

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Answer:

isn't it just 3

Step-by-step explanation:

isn't it just 3 bc there r only 3 students out of the entire class that doesnt play both instrument and sports

Answer:

12.5% chance

Step-by-step explanation:

There 24 students in total

When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3.

Answer:

5 Probability

5.1 Probabilities

Probabilities are used to describe how likely or unlikely it is that something will happen.

Weather forecasters often talk about how likely it is to rain, or perhaps snow, in particular

parts of the country.

Worked Example 1

(a) When you roll a dice, which number are you most likely to get?

(b) If you rolled a dice 600 times how my sixes would you expect to get?

(c) Would you expect to get the same number of ones?

Solution

(a) You are equally likely to get any of the six numbers.

(b) You would expect to get a six in about 1

6

of the throws, so 100 sixes.

(c) Yes, in fact you would expect to get about 100 of each number.

Worked Example 2

Use one of the following to describe each one of the statements (a) to (d).

Certain

Very likely

Likely

Unlikely

Very unlikely

Impossible

(a) It will snow tomorrow.

(b) It will rain tomorrow.

(c) You win a car in a competition tomorrow.

(d) You are late for school tomorrow.

Solution

(a) Very unlikely for most places in Britain, especially in summer.

(b) Likely or Very likely in Britain in winter.

(c) Very unlikely if you have entered the competition. Impossible if you have not

entered the competition.

(d) Very unlikely, unless the school bus breaks down.

Answer:

Step-by-step explanation:

-2y + 9 = -x

x - 2y = -9

Plug in each set of points and see if the equation holds true.

A. 2 - 2(5) = ?

B. -3 - 2(15) = ?

C. 4 - 2(-1) = ?

I don't think that any of them work.

Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

10=1+9

Answer:

Quotient = m2-6m+81 Remainder = -560

Step-by-step explanation:

in the pic above

Answer:

42

Step-by-step explanation:

If y equals 3, then substitute y for 3, getting 45 - 3.  

45 - 3 is 42, so that's your answer.  

Hope this helped!  

Answer:

Step-by-step explanation:

Answer:

sorry the image is not clear

Answer:

$16.8

Step-by-step explanation:

put 20% into decimal form 20/100 = 0.2

0.2 x 21 = $4.2

21-4.2 = $16.8

The Discount will be "$4.2" and the Sale price will be "$16.8".

According to the question,

Labeled case of toilet paper,

Get discount,

or,

Now,

→ 20% of $21 will be:

= [tex]0.2\times 21[/tex]

= [tex]4.2[/tex] ($) (Discount)

→ The sale price will be:

= [tex]Labeled \ case - Discount[/tex]

By substituting the values, we get

= [tex]21-4.2[/tex]

= [tex]16.8[/tex] ($)

Thus the above approach is right.

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