Answer:
a
[tex]E[(3X+1)^2]= 8.5 [/tex]
b
[tex]P(1 < X < 2)=0.1170 [/tex]
Step-by-step explanation:
From the question we are told that
The parameter of X is [tex]\lambda = 2[/tex]
Generally the expected value of X is
[tex]E(X) = \frac{1}{\lambda }[/tex]
[tex]E(X) = \frac{1}{2}[/tex]
=> [tex]E(X) = 0.50 [/tex]
Generally we have that
[tex]E(X^2) = E(X)^2 + E(X)^2[/tex]
=> [tex]E(X^2) = [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]
=> [tex]E(X^2) = 0.5 [/tex]
Generally
[tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]
=> [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]
=> [tex]E[(3X+1)^2]= 9* 0.5 + 1 + 6 * 0.5 [/tex]
=> [tex]E[(3X+1)^2]= 8.5 [/tex]
Generally
[tex]P(1 < X < 2)= P(X < 2) - P(X < 1)[/tex]
Here [tex]P(X < 2 ) = e^{- 2 * \lambda }[/tex]
=> [tex]P(X < 2 ) = e^{- 2 * 2 }[/tex]
=> [tex]P(X < 2 ) = e^{- 4}[/tex]
and
[tex]P(X < 1 ) = e^{- 1 * \lambda }[/tex]
[tex]P(X < 1 ) = e^{- 1 * 2 }[/tex]
[tex]P(X < 1 ) = e^{-2 }[/tex]
So
[tex]P(1 < X < 2)= e^{-2 } - e^{- 4} [/tex]
[tex]P(1 < X < 2)=0.1170 [/tex]
4x-5≥7 in interval notation
Answer:
4x - 5 > 7 = [3,∞)
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
4x > 12
Divide each term by 4 and simplify.
x > 3
Convert the inequality to interval notation.
[3,∞)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
HELP PLEASE I am in elementary school don’t make fun of me but this is my Q: 274/385 + 583/648
Answer:
402007/249480
Step-by-step explanation:
or decimal form: 1.61137966
Solid shape is made 4 cubes. What is the front elevation
The front elevation of the cube will be either a square or a rectangle.
What is a cube?A three-dimensional object with six congruent square faces is called a cube. The cube's six square faces all have the same dimensions.
Given that, a solid shape is made from 4 cubes.
The front face of a cube is square, therefore, the front elevation of 4 cubes will be either a square or a rectangle.
Hence, the front elevation of the cube will be either a square or a rectangle.
Learn more about cubes:
https://brainly.com/question/29372770
#SPJ2
Express 19.07 as a mixed number.
Similarities between capitalism and Socialism
Answer:
there social system
Step-by-step explanation:
2.Ricky has $100 to spend and wants to order some DVDs on the internet. Each DVD costs $15.00, and
shipping for the entire order is $10.00. What is maximum number of DVDs he can afford
Answer:
He can get 60 dvds
Step-by-step explanation:
This is why he can get 60 dvds Because 15x6=90 and 10 for shipping make it 100 exactly.
Is 6,364 a reasonable product for 706×45
Answer:
I don't think so because I tried it and that's what I got
Step-by-step explanation:
Answer:
No, it is not. A reasonable product is 31,770.
Step-by-step explanation:
Ever heard of a calculator? It's way faster.
45 x 100 = 4,500
4,500 x 7 = 31,500
45 x 6 = 270
31,500 + 270 = 31,770
The sum of 5 and twice a number.
Answer:
5+x2
Step-by-step explanation:
Answer:
5 + 2x
Step-by-step explanation:
Sum means your adding so it would be 5 + any given number which you can call x times by 2. Which is 5 + 2x
4log, 11 – 20log 35
Answer:
-26.71579
Step-by-step explanation:
Any scientific or graphing calculator can evaluate this expression for you.
The points (12,14) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer: 5/2
Step-by-step explanation:
49 - 42/ 14 - 12
A man has painted 1/5 of a tower. He started at the tower's base and is now 35 feet above the ground. How tall is the tower?
Answer:
175 ft
Step-by-step explanation:
5 sections
1 is equal to 35ft
multiply 35×5
The two triangles shown are similar. Find the value of
a
b
2.1
1.4
Answer:a 2.1 similar to 1.4 is 5.6 n answer to your question
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
WILL GIVE BRAINLIEST SO DESPERATE PLS
The life zones on Mount Rainier, a mountain in Washington, can be approximately classified by elevation, as follows.
Low-elevation forest: above 1700 feet to 2500 feet
Mid-elevation forest: above 2500 feet to 4000 feet
Subalpine: above 4000 feet to 6500 feet
Alpine: above 6500 feet to the summit
Write a compound inequality that represents the elevation range h
for each type of plant life.
Answer:
Look down below
Step-by-step explanation:
It's been a little while since I've looked at compound inequalities, so forgive me if this is a bit long.
Let's start with the Low Elevation Forest. Let x represent what is considered the forest. If this is above 1700, x>1700 (which can be rewritten as 1700<x). (Remember, as silly as this may sound, the mouth of the alligator eats the larger part! So the large number has the wide part of the symbol. Remember also that if the sign is < or >, then it includes the number the 'mouth' is facing.) If the forest is up to 2500, you'll generally include 2500 in your equation, so x<2500. This means 1700<x<2500 or x>1700 and x<2500.
Now let's repeat that with the other parts of the question. Mid elevation is x>2500 and x<4000. Subalpine would be x>4000 and x<6500. Alpine is then x>6500 and x< the summit (which is probably the elevation of Mount Rainer in this problem or 14410 feet).
Now we have the question itself. Let's replace x with t for trees for part a. This would mean in the low elevation forest, t>1700 and t<2500 which can be rewritten 1700<t<2500. Now we have flowers in the subalpine AND alpine zones. Let's use f for flowers. If flowers can be in either zone, let's combine them! Because t>4000 and t<6500 in the subalpine level and t>6500 and < the summit (aka 14410 feet), flowers can grow anywhere above 4000 feet. So flowers would be f>4000 and f<14410. Again, you can combine these into: 400<f<14410.
Sorry this is so long, but I hope it helps :)
2) Use a graph to find the length of DE if D(4, -3) and E(-5, -7).
Answer:
The answer rounded to the nearest tenth is 9.8.
Step-by-step explanation:
The answer itself is really long so I rounded to the tenths place.
81 - 100a2
What is the answer
Answer:10a
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
9
and
b
=
10
a
.
(
9
+
10
a
)
(
9
−
10
a
)
PLEASSSS PLEAS HELPPPPP Use the function f ( x ) = 2 − 5 x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Given function:
f(x) = 2 - 5x
Table;
x f(x)
-2 12
-1 7
0 2
1 -3
2 -8
The function is f(x) = 2 -5x
For; x = -2; f(x) = 2 - 5(-2) = 12
f(x) = 2 - 5(-1) = 7
f(x) = 2 - 5(0) = 2
f(x) = 2 - 5(1) = -3
f(x) = 2 - 5(2) = -8
Answer:f(x) = 2 - 5(-2) = 12
f(x) = 2 - 5(-1) = 7
f(x) = 2 - 5(0) = 2
f(x) = 2 - 5(1) = -3
f(x) = 2 - 5(2) = -8
The function f ( x ) = 2 − 5 x.
Plug in- f ( 2 ) = 2 − 5x2
Simplify
Perform the following calculation and round your answer appropriately to the correct number of significant figures: 10. x 0.007809
Answer:
0.07809
Step-by-step explanation:
all do is multiply it and you will get your anwer.
The average a of two numbers c and d is equal to half the sum of c and d
Answer:
[tex]\frac{c + d}{2}= \frac{c + d}{2}[/tex]
Step-by-step explanation:
Required
Write the given statement as an equation
To start with, we solve for the average of c and d
[tex]Average = \frac{\sum x}{n}[/tex]
[tex]Average = \frac{c + d}{2}[/tex]
Next, is to determine half sum
[tex]Half\ sum = \frac{c + d}{2}[/tex]
Since both are equal; we have"
[tex]\frac{c + d}{2}= \frac{c + d}{2}[/tex]
The above shows that the statement is true
Write the equation of the line in slope-intercept form.
Answer:
y = -½x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + c
where m is the gradient (slope) and c is the y-intercept
We can find the gradient and intercept from the two points on the diagram
The points are:
(0, 3) and (4, 1)
The y-intercept is when x = 0
we are already given this point so
c = 3
now we can use our other point to find m. So:
1 = 4m + 3
-2 = 4m
-½ = m
Now we can put both variables into our slope-intercept form
y = -½x + 3
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at the movie?
Answer:
12
Step-by-step explanation:
PLSSS HELP YA GIRL OUTTT , ( imma mark brainliest) (35 points)
The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is “Unhealthy”.
The following quadratic regression equation gives us an estimate of n, which is the number of days the AQI exceeded 100 a particular year. We will use this equation to estimate the number of days the AQI was over 100 in the year 1995.
n = 1.76 t squared minus 13.32 t + 41.00
(Let t represent the number of years since 1990. Therefore, t = 0 corresponds to the year 1990. For the estimate of n, round to the nearest whole day.)
a. 18 days
b. 24 days
c. 182 days
d. 72 days
Answer:
its either B or C
Step-by-step explanation:
hope it helps
sorry if its wrong
Answer:
a
Step-by-step explanation:
Using the approximation 3.14 for (pie symbol , what is the radius of a circle with a circumference of 59.7
m?
Anita collects shells and stones in a ratio of 1 : 2 If she has a total of 6 shells , how many stones does she have ?
round 49,815,662 to the nearest hundred thousand
Answer:
49,800,000 is the answer
Answer:
50,000,000
Step-by-step explanation: What you would do is if you have to round up, remember this way to always get it right. 4 or below = stays the same 5 or above = rounds up. so 49,815,662. Well we would take the 8 and round it up to the 9 making it 10 so 49 turns into 50.
An online music store is offering a promotion. When you spend $30 or more, you receive 3 songs for free. You buy an album for $10. Identify an inequality that represents how much more money $m$ you must spend to receive the three free songs.
Answer:
10 + m ≥ 30
You must spend AT MOST $20 or more
Step-by-step explanation:
Basically you have already spent 10 dollars and you have to pay MORE than or equal to 30. You cannot pay less than because you want the free songs. So the sign has to be ≥ or the inequality will not be true.
10 + m ≥ 30
10 - 10 + m ≥ 30 - 10 ( subtract 10 from each side to isolate m)
m ≥ 20 ( we are left with this )
The answer is :
m ≥ 20
You must spend at most 20 dollars more to get the 3 free cd's. Your welcome :D
What are the slope, m, and y-intercept, b, of a line that passes through the points
(3,-1) and (7,-5)?
Answer:
Slope would be m= -1, y-int is 2.
Step-by-step explanation:
To find slope, use (y2-y1/x2-x1) Plugging this in, we get (-5-(-1)/(7-3). This can be simplified to -4/4, which is -1. After we find slope, we plug in one of the points to find be. Using (7,-5), y=-5 and x=7. So, -5=7(-1)+b. -5=-7+b. Add 7 to both sides, b=2. Therefore, the entire equation is y=-x+2.
Answer:
The answer is 1
Step-by-step explanation:
use slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
3 is xsub1
-1 is ysub1
7 is xsub2
-5 is ysub2
substitute and solve!
[tex]m= \frac{-5-(-1)}{7-3}\\= \frac{-5+1}{4}\\= \frac{-4}{4}\\= -1[/tex]
slope is 1
hope this helps!
multiply. express your anwser in simplist form.. 1 7\8 × 2 1\3
Answer:
If not simplified 35/8 if simplified 4 and 3/8.
Have a fantastic day :)
HELP PLZZZZ
THANK YOU SO MUCH FOR HELPING ME!!!!
that is my question
Solve and show your work.
What is 3/4 of 1/2?
3/4 of 1/2
⚠️REMEMBER IN MATH THE WORD *OF* STANDS FOR MULTIPLICATION⚠️
so 3/4 x 1/2
when multiplying two fractions, we multiply the numerators together and the denominators together
(3 x 1) / (1 x 2)
that is
3/8
so 3/4 of 1/2 is 3/8
Hope this helps :)
[tex]\frac{3}{4} *\frac{1}{2}[/tex]