Answer:
-2[tex]x^{2}[/tex] + 9
Step-by-step explanation:
0[tex]x^{2}[/tex] + (-7x) + 1
+ -2[tex]x^{2}[/tex] + 7x + 8
-2[tex]x^{2}[/tex] + 0x + 9
or
-2[tex]x^{2}[/tex] + 9
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.
1. What are the chances that a monkey and a kangaroo will fall off the bed?
2. What are the chances that a monkey will not fall off the bed?
3. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?
4. What are the chances that if the monkeys jump every day for a week that at least one will fall off of the bed?
5. What are the chances that the kangaroos can get away with jumping on the bed for 4 straight nights until they finally have someone fall off the bed on the night?
6. What are the chances that the kangaroos can jump two nights in a row with no one falling off the bed?
7. The monkeys manage to go a whole week without someone bumping their head. One of the kangaroos insists that they are due for an injury. Another says they must be getting better at their jumping skills. Do you think they're due for a crash?
Answer:
0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12
Step-by-step explanation:
Given :
Number of monkeys, n1 = 10
Probability of fall, off ; p(m) = 35% = 0.35
Number of kangaroos, n2 = 5
Probability of fall, off : p(k) = 20% = 0.2
1.) A monkey and kangaroo falls off;
p(m) * p(k) = 0.35 * 0.2 = 0.07
2.) probability that monkey will not fall off;
1 - p(m) = 1 - 0.35 = 0.65
3.) probability that a monkey falls off every one of seven nights :
P(m) = 0.35 ; for 7 nights ;
0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875
4.)
P(x ≥ 1) = p(1) + p(2) +... + p(10)
Using binomial probability calculator :
n = 7*10 = 70 ; p = 0.35
P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12
Graph
y + 4 = 2/5 (x − 3)
Answer:
Y= 2/5x - 23
Step-by-step explanation:
Firstly:
Move the 1/5 to the other side of the equation
So
5(y+4) =2(x-3)
Secondly:
Expand the brackets
5y +20 = 2x-3
Thirdly:
Solve
5y= 2x - 3-20
5y=2x-23. (Divide by five both sides)
Y= 2/5 x - 23 (Straight line graph)
To plot the graph:
First create a table of values
For x coordinates and y coordinates
Put the points in the graph and match
Please help!!! Will give brainliest!!!
Answer:d
Step-by-step explanation:
Both aren’t related But they do have some impact on eachother
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *
Answer:
54 minutes
Step-by-step explanation:
Hope I helped!
I can almost guarantee this answer is correct.
Have a nice day!
Answer:
54 minutes
Step-by-step explanation:
Every 3 minutes she reads 1
18x3=54
Hope it helps
Someone Help please with work!! 15pts
Answer:
f(5) is equal to 5.
Step-by-step explanation:
You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value. If you look closely, you'll see that the x value of 5 has a y value of 5 as well.
Help me find answer to this
Answer:
[tex]\angle B=41.81^\circ[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:
[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:
[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]
Calculating the inverse sine function:
[tex]\angle B=\arcsin (0.667)[/tex]
[tex]\boxed{\angle B=41.81^\circ}[/tex]
Good afternoon guys! Can anyone help me with this?
Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question
Step-by-step explanation:
Please help...........
Answer:
x = 59.4°
Step-by-step explanation:
Reference angle = x
Side opposite to x° = 22
Adjacent side = 13
To find x, apply trigonometric ratio formula. Thus:
[tex] tan(x) = \frac{22}{13} [/tex]
[tex] x = tan^{-1}(\frac{22}{13}) [/tex]
[tex] x = 59.4 [/tex] (nearest tenth of degree)
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
Learn more about area here
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Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.
plz help
Answer:
Explained below
Step-by-step explanation:
A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.
Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.
Now, for example let's consider the number 5.
It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c
Now, the opposite of these fractions like we are told to check in the question results in;
1/5; 2/10; 4/20; -1/-5;
The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.
An auto transport truck holds 12 cars. A car dealer plans to bring in 1, 150 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
95 full truckloads with 12
cars on the 96th truck
960 full truckloads with 10
cars on the 961st truck
95 full truckloads with 10
cars on the 96th truck
96 full truckloads with 10
cars on the 97th truck
Answer:
95
Step-by-step explanation:
Ok so
so firs what we do is
1150/12 and ignore remainder
95 and remainder is 10
therefore we have 95 trucks full and 10 cars in the last truck
I need help ASAP please
In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
Please help thank you
Answer:
B
Step-by-step explanation:
Increasing trials promotes the chance of reaching theoretical.
Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120
Answer:
ne hamla que estas no habla espanol
Step-by-step explanation:
que
Y-4x=9 in standard form
Answer: y - 4x = 9 in standard form is -y + 4x = -9
Camille buys $50 worth of books at Target. She has a coupon for 20% off her entire purchase. What is the total cost of the books after the coupon is applied?
Answer:
$40
Step-by-step explanation:
If something is 20% off divide the number by 5 then take that number and minus it from the original number
For example
50 ÷ 5 =10
50 - 10 = 40
I hope this helps!
Please help this is for another person who doesn’t know the answer :)
Answer:
The answer is,
[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]
what‘s the maximum and minimum
pls help!!!
Answer:
D.By finding the unit rate and multiplying it by 7.
Step-by-step explanation:
Lisa bought bottles of soda for $2.50 each and a large pizza for $17. The total cost was $27. How many bottles of soda did Lisa buy?
A.
4
B.
3
C.
10
D.
6
Answer:
a
Step-by-step explanation:
27-17= 10$ 2.5 goes into 10 4 times
Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method
Step-by-step explanation:
Because he always do that non sense thing by this true method and always shout it when they will go from their house
(BRAINLIEST) and more in the description.
Confession: I suck at math lol........
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answer:
33.8
Step-by-step explanation:
use long division
Answer:
33.8
Step-by-step explanation:
top in bottom out
5[tex]\sqrt{169\\}[/tex]
5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8
Hoped this made sense :)
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
I will give brainiest to whoever answers correctly !!
Answer:
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of 11487.
Step-by-step explanation:
The population of the town after x years is given by the following equation:
[tex]P(x) = 5000(1.181)^{0.1x}[/tex]
After 10 years, the population of the town will be of:
This is P(10). So
[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of:
This is P(50). So
[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]
After 50 years, the population of the town will be of 11487.
What is an angle that is adjacent to <2?
(PLEASE)
Answer:
∠3 and ∠1 are correct
Step-by-step explanation:
adjacent angles are next to each other with a common vertexand side
9.66 rounded to 1 decimal place
Answer:
9.7
Step-by-step explanation:
When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:
your answer would be 9.7
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A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances
Answer: 10
Step-by-step explanation:
Each mile has 4 quarter miles.
2.5 miles are covered.
4×2.5=10