Answer:
h = 11242 km
Step-by-step explanation:
A flight with this altitude can be modeled by the function :
[tex]h = -0.17t^2 + 187t + 61000[/tex] ....(1)
Where h is the altitude in meters and t is flight time in seconds.
We need to find the highest altitude reached by the space plane.
Put [tex]\dfrac{dh}{dt}=0[/tex]
So,
[tex]\dfrac{d(-0.17t^2 + 187t + 61000)}{dt}=0\\\\-0.34t+187=0\\\\0.34t=187\\\\t=\dfrac{187}{0.34}\\\\t=550\ s[/tex]
At t = 550 seconds the space plane reaches the highest altitude.
Put t = 550 s in equation (1).
[tex]h = -0.17(550)^2 + 187(550)+ 61000\\\\h=112425\ m\\\\h=112.42\ km[/tex]
Hence, the highest altitude reaches by the space plane is 11242 km.
In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
Answer:
(c) n = 100, p = 0.2
Step-by-step explanation:
To approximate to use the normal distribution for a binomial, we need that:
[tex]np \geq 10, n(1-p)\geq 10[/tex]
So, for each option
(a) n = 10, p = 0.5
[tex]np = 10*0.5 = 5 < 10[/tex]
So not appropriate
(b) n = 40, p = 0.88
[tex]np = 40*0.88 = 35.2 > 10[/tex]
[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]
So not appropriate.
(c) n = 100, p = 0.2
[tex]np = 100*0.2 = 20 > 10[/tex]
[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]
So appropriate
(d) n = 100, p = 0.99
[tex]np = 100*0.99 = 99 > 10[/tex]
[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]
So not appropriated
(e) n = 1000, p = 0.003
[tex]np = 1000*0.003 = 3 < 10[/tex]
So not appropriate
A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
Given that,
Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
We have to determine,
In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
According to the question,
Probabilities for a binomial distribution with the given values of n and p.
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
To approximate to use the normal distribution for a binomial is given as,
[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]
When n = 10 and p = 0.5,[tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 40 and p = 0.88,[tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 100 and p =0.2,[tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]
The normal distribution is greater than 10 so, this appropriate.
When n = 100 and p = 0.99,[tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 1000 and p = 0.003,[tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
To know more about Binomial Distribution click the link given below.
https://brainly.com/question/16776778
4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?
Answer:
It will have a 4 and then a five on the top right of it.
Step-by-step explanation:
4^5
Answer:
4^{5}
Step-by-step explanation:
Just basically what the other person said.
4 exponent 5
3
Solve for x.
-2x + 6 + 4x = -12
Plz help me with this
Answer:
interest = $5040
total= $6090
Step-by-step explanation:
1050 × .16 = 168
168 × 30 = $5040
$1050+ $5040 = $6090
Solve 10 + 6(–9 – 4x) = 10(x – 12) + 8.
A)
x = –6
B)
x = 2
C)
x = 17
D)
x = –18
Answer: x = 2
Step-by-step explanation:
first, we remove the parentheses.
10 - 54 - 24x = 10x - 120 + 8
then, we just calculate that out.
-44 - 24x = 10x - 112
next, we move the terms.
-24x - 10x = -112 + 44
then, we collect the like terms and calculate it.
-34x = -68
finally, we divide both sides.
x = 2
Find the angles a, b, c and d.
Answer:a b and c are 6
Step-by-step explanation:
you buy a shirt that costs 9.99 dollars what is the price with a tax sales is 6 percent
Answer:
$10.59
Step-by-step explanation:
6% of 9.99 is 0.5994, so you round it to 0.60, then add it to 9.99.
landscape designer has 4/5 ton of mulch to divide equally among 8 customers. how much mulch will each customer get?
Answer:
1/10
Step-by-step explanation:
4/5x1/8=4/40=1/10
Please please help
Find the measure of the missing angle.
63°
Answer:
27 degrees
Step-by-step explanation:
Answer:
a = 27° ______
Step-by-step explanation:
~~~~~~~~~~
//////////////////////////////
Answer:
27
Step-by-step explanation:
9³÷3³=729÷27
= 27
Answer:
the answer is 3
Step-by-step explanation:
At the start of the school year, there were 72 boxes of coloring pencils in the art room, with each box containing 12 packs. During the school term , 58 boxes were used. How many packs of coloring pencils were left?
Answer:
Take away the 58 boxes from the 72 boxes and you will have 14 boxes left.
Then you have to multiply the 14 boxes left, by the 12 packs of pencils what gives you 168 packs of colouring pencils left.
A tool manufacturer has fixed costs of $68.00 a day and variable costs of $1.00 per screwdriver
produced. The company gets $2.50 per screwdriver sold. How many screwdrivers must be produced
daily to break even? Your answer should be a number only.
Answer:
46
Step-by-step explanation:
To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.
Let x be the number of screwdriver that must be produced daily to break even
Then
68 + 1 * x = 2.5 * x
68 + x = 2.5x
collect like terms
68 = 2.5x - x
1.5x = 68
Divide both sides by 1.5
x = 68/1.5
= 45.33
This would be approximated to 46 screws
the points (3,17) and (5,23) give us an m value of how much?
(3, 17) and (5,23)
23-17= 6
5-3=2
y-17=m(3-x)
m=3
HELP ME PLS I WILL CRY I HAVE SO MUCH TESTS AND ESSAYS DUE PLS SHOW WORK
Answer:
180 minutes
Step-by-step explanation:
60x3
Please help!! I am struggling on cross-sections
Answer:
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Step-by-step explanation:
Got this one wrong can someone help me solve it
Answer:
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Step-by-step explanation:
of evidence from seismic waves heat flow in meteoritesof of evidence from seismic waves heat flow in meteorites from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteorites
Let
P be a polynomial function, and
P(x) = 23 – dx2 - 4x – 20. If
(2 – 2) is a factor of the polynomial, what is the value of
d?
Answer:
The value of d = -5
The polynomial function x³ +5 x² - 4x -20 =0
Step-by-step explanation:
Explanation
Given that the equation is third degree polynomial
p(x) = x³ - d x² - 4x -20
Given factors x= 2 and x=-2
Substitute 'x' = 2 in given polynomial
8 -d(2²)-4(2) - 20 =0
⇒ 8 - 4 d - 8 -20=0
⇒ - 4 d-20 = 0
⇒ - 4 d = 20
⇒ d = - 5
The value of d = -5
Verification:-
After substitution d =-5 in given polynomial
x³ - (-5) x² - 4x -20 =0
put x=2
8 +5(4)-8-20 =0
20 =20
The factors are x= 2 and x=-2 of the given polynomial
-1<9+n<17 and graph the answer after
Answer:
We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
Or we can write as: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Step-by-step explanation:
We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.
Solving the inequality
[tex]-1<9+n<17[/tex]
We know that if a<u<b then we can write a<u and u<b
So, we can write
[tex]-1<9+n \:and\: 9+n<17[/tex]
Solving these equations and finding values of n
[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]
So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
We can write it as: -10< n and n<8
Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Solve for t in terms of u, v, w, and x.
Answer:
there's no image lol
Step-by-step explanation
Find the product of -5 – 4i and its conjugate. The answer is a + bi where
Answer:
Step-by-step explanation:
(-5 - 4i)(-5 + 4i)
25 - 20i + 20i - 16 i^2
25 + 16
41 + 0i
Given complex number is (-5 - 4i).
Therefore, conjugate of this number will be (-5 + 4i)
[Conjugate of a complex number (a + bi) is (a - bi)]
Multiplication of the number and the conjugate of this number will be,
(-5 - 4i)(-5 + 4i) = (-5)² - (4i)²
= 25 - (16i²)
= 25 - (16)(-1) [Since, i² = (-1)]
= 25 + 16
= 41
It can be written in the form a complex form → (41 + 0.i)
Therefore, a = 41 and b = 0.
Learn more,
https://brainly.com/question/1748033
Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the approximate dimensions of the screen to the nearest foot?
Answer:
height = 23 ft , Width=43ft
Step-by-step explanation:
Step one:
Given data
Given data
Diagonal = 66ft
Aspect ratio= 19:10
From the formulas below, we can find the dimensions of the theater screen
height = diagonal / √ (AR²+1)
where AR is the aspect ratio
Step two:
height = 66 / √ ((19/10)² + 1) =
height = 66 / 2.9
height = 23 ft
Step three:
Also,
width = AR * height
width = (19/10) * 22.75
width =1.9* 22.75
Width=43ft
all the information given in the photo, no idea how to solve
Answer:
I think you need to find the angle of fde. which b and c look like 45 degree angles.and so does fde, if you know how to solve the problem now, I would do that, because everything there number wise was a VERY rough estimate.
Step-by-step explanation:
Twenty-nine less than a is equal to thirty
What is the value of x2 + 3x +2
Answer:
5x + 2
Step-by-step explanation:
x2 mean x * 2=2x
2x + 3x +2
5x + 2
If you add Natalie's age and Fred's age, the result is 38. If you add Fred's age to 4 times Natalie's age, the result is 74. Write and solve a system of equations to find how old Fred and Natalie are.
Answer:
hmmhhhhhhhhbmmmmhhhm
Answer:
Fred is 26 and Natalie is 12
Step-by-step explanation:
X= Fred's age
Y= Natalie's age
x+y=38
x+4y=74
Use the first equation and isolate the variable x to one side.
x+y=38
-y= -y
x=38-y
Now use this equation and subsitute it into the second equation.
(38-y) + 4y = 74
Simplify to find y
38+3y=74
-38 =-38
3y=36
÷3 ÷3
y= 12
Now that we know y, input it into the second equation to find x.
x+12=38
-12 -12
x= 26
Fred is 26 and Natalie is 12
hope this helps :)
What is the x-value of the solution to the system of equations below?
x+y +z = 8
x + 2y = 6
y +z = 4
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
The value of the x is 4.
Given that,
The equations are x+y +z = 8 , x + 2y = 6 , and y +z = 4.
Based on the above information, the calculation is as follows:
x + y + z = 8
y + z = 4
So,
x + 4 = 8
x = 8 - 4
= 4
Learn more: brainly.com/question/17429689
which expression is equivalent to 2 (3/4n+8+1/4n-12)?
a. 2n+8
b.2n-8
c.2n+10
d.n-4
Answer:
b. 2n-8
Reason
Distribute the 2.
6/4n +16 + 2/4n -24
Simplify
6/4n + 2/4n = 8/4n = 2n
16 - 24= -8
Then you get 2n-8
Answer:2N-8
Step-by-step explanation: I got it right
Joe's paint company is making purple paint. The table below shows the amount of red paint to the amount of blue paint in the mixture write on equation that could be used to determine the number of cups of blue point for ony number of cups of red paint
Answer:
for every 4 cups of blue paint there is 1 cup of red paint 4:1
Step-by-step explanation:
Hope this helps :D please mark brainliest
Leslie, Marjan and Lizzy & Derrick decide to come out of retirement from their Big Race tricycle days for a unicycle race. Having won the one na
Big Race, Leslie is given a 6-meter head start and rides at a speed of 2 meters per second. Marjan is given a 1-meter head start and catcup
with Leslie after 5 seconds. Lizzy pedals twice as fast as Leslie and begins the race at the starting line. Derrick also begins at the start ng line
but pedals 5 meters every 2 seconds.
a. What is the equation for Leslie's race?
b. What is the equation for Mark's race?
c. What is the equation for Lizzy's race?
d. What is the equation for Derrick's race?
d. Who was traveling the fastest?
What is the value of ⅝ ÷ ⅖
Answer:
25/16
Step-by-step explanation:
Remember, keep-change-flip
Turn this into a multiplication equation
[tex]\frac{5}{8} * \frac{5}{2}[/tex]
Multiply to get 25/16