The probability that less than 20 trees have the disease is; 0.135
How to find the Probability?
The formula for binomial probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
We are told that 30% of Elm trees have a certain disease. Thus;
p = 30% = 0.3
n = 80
x = 20
Thus, probability that less than 20 trees have the disease is;
P(X < 20) = P(X = 0) + P(X = 1) + P(X = 2) + ....... + P(X = 19)
Using a binomial probability calculator online gives us;
P(X < 20) = 0.135
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What’s the answer?????
Answer: The first one : -2x^2 + 20x - 54
Step-by-step explanation:
y = -2(x-5)^2 - 4
= -2(x^2 - 10x + 25) - 4
= -2x^2 + 20x - 50 - 4
= -2x^2 + 20x - 54
pls helppppp i need this done :(
Answer:
5a. $9.20
5b. 75 clicks
Step-by-step explanation:
You are asked to make use of the given relationship between number of clicks (c) and budget remaining (A).
__
5aThe number of clicks is given as c = 52, so the budget remaining is ...
A = 30 -0.40(52) . . . . . use c=52
A = 30 -20.8 = 9.20
There will be $9.20 left at the end of the day.
__
5bThe number of clicks needed to use up the budge can be found by solving for c when A=0.
0 = 30 -0.40c . . . . . use A=0
0.40c = 30 . . . . . . . add 0.40c
c = 30/0.40 = 75 . . . . . divide by 0.40
The ad was clicked 75 times if there is no daily budget remaining.
Below is a plot of land divided into 4 sections for a vegetable garden.
Part A: What is the total area allotted for carrots and beans?
(PLEASE SHOW WORK)
Answer:
104
Step-by-step explanation:
did the test yourself(sorry for no proof)
A cone with a radius of 6 meters has a volume of 542.87m³. Find the slant height.
The slant height of the cone is = 15.6m. To calculate the slant height is further described below.
What is the slant height of a cone?The radius of the cone is = 6m
The volume of the cone = 542.87m³
The height of the cone can be determined using the formula below;
V=πr²h/3
542.87 = 22/7×6²×h/3
542.87= 3.14×36×h/3
542.87= 113.04× h/3
Make h the subject of formula,
h = 542.87×3/113.04
h = 1628.61/113.04
h= 14.4m
Therefore the slant height ,
l=√r²+h²
l = √6²+14.4²
l= √36+207.36
l=√243.36
l= 15.6m
Therefore, the slant height of the cone is = 15.6m.
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17. Express the shaded part of the picture as a fraction
O A. ¾
O B. 4/1
O C. ¼
O D. 4/3
Assume that a procedure yields a geometric distribution where the probability of success is 53%. Use the geometric probability formula to find the probability that the first success occurs after the third trial
A) 0.104
B) 0.531
C) 0.009
D) 0.896
Answer:
A) 0.104
Step-by-step explanation:
[tex]P(X > n)=(1-p)^n\\\\P(X > 3)=(1-0.53)^3\\\\P(X > 3)=(0.47)^3\\\\P(X > 3)\approx0.104[/tex]
Can anyone solve this
Check the picture below.
so if we get the product for each diameter, it'd be what you see in the picture to the left, and the largest is of course the Sun and the smallest is Mercury.
we can simply get their diameters' ratio to see how much larger.
[tex]\cfrac{\stackrel{Sun}{1.392\times 10^6}}{\underset{Mercury}{4.878\times 10^3}}\implies \cfrac{1392\times 10^3}{4.878\times 10^3}\implies \cfrac{1392}{4.878}\times\cfrac{10^3}{10^3}\implies \cfrac{1392}{4.878}\times 1 \\\\\\ \cfrac{1392}{4.878} ~~ \approx ~~ 285.3629~~ \approx ~~ 2.853629 \times 10^2[/tex]
PLEASE HELP!!
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the
top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If
the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively,
what is the distance travelled by the ray?
**TEACHER SAID NOT A OR D**
The distance traveled by the ray will be 26 inches. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance traveled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
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An object is launched at an initial velocity of 19.6
meters per second from an initial height of 24.5 meters.
Which equation can be used to find the number of
seconds it takes the object to hit the ground?
Answer:
0
Step-by-step explanation:
Leah and Chris have 3 sushi rolls to share equally for lunch. Leah wants to know how many sushi rolls she will get.
Answer:
She will get 1.5.
Step-by-step explanation:
Because 3/2 is 1.5 so they are equal
The number ▲ is a multiple of 4.
How do you know that a number
that is 20 greater (A+20) is not
a prime number?
Answer:
It is not a prime number.
Step-by-step explanation:
Any even number besides 2 cannot be a prime number. If it is a multiple of 4, it will always be even, meaning it absolutely cannot be a prime number.
(Pretty sure this is what was being asked, if not, let me know)
¿how can I resolve this?
PQ: P(0, 0), Q(–2, 1)
Answer:
0+-2=-2
0+1=1
-2+1=-1
Step-by-step explanation:
Answer:
sqrt(5)
Step-by-step explanation:
Distance formula sqrt((x2-x1)^2+(y2-y1)^2)
sqrt((-2-0)^2+(1-0)^2)
sqrt((4)+1)
sqrt(5)
If line m is parallel to line n, find angle efg to the nearest degree, without the degree symbol.
Answer:
108
Step-by-step explanation:
2x+12 and 3x-18 are vertical angles which mean they are congruent. We can write the equation 2x+12=2x-18 from this. When we solve for x, the answer is x=30. Now we can plug 30 into the equation 2x+12 to get 72. Notice that angle 2x+12 added to angle EFG is 180 degrees because they are supplementary. We subtract 72 from 180 to get the resulting answer of 108.
The measure of <EFG is 102.
What are Parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
line m is parallel to line n.
As, 3x- 18 = 2x + 12 (Alternate Exterior Angle)
3x -2x = 12+ 18
x = 30
and, <EFG = 180 - (2x+ 12) (Linear Pair)
<EFG = 180 - (60+12)
<EFG = 180 - 72
<EFG = 108
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please answer this question
The solution to the above function of summation (k - 1)! is determined as (n+1)P1.
Simplification of the functionThe given expression can be simplified as follows;
∑(k - 1)!
Let's choose numbers;
(2 - 1)! = 1!
(3 - 1)! = 2!
(4 - 1)! = 3!
(5 - 1)! = 4!
(6 - 1) = 5! ----- + (n + 1)Pr
when n = 1(1 + 1)P1 = 2P1 = (2 - 1)! = 1!
when n = 2(2 + 1)P1 = 3P1 = (3 - 1)! = 2!
when n = 3(3 + 1)P1 = 4P1 = (4 - 1)! = 3!
when n = 4(4 + 1)P1 = 5P1 = (5 - 1) = 4!
Thus, the solution to the above function of summation (k - 1)! is determined as (n+1)P1.
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if my teacher give me two 100 test grades and my grade now is 54 what would be my grade
Answer:
# Points / Questions ❔
200
# Wrong ❌
54
# Correct ✔️
146
Percentage
73%
Grade
C
Step-by-step explanation:
Answer: 84%
Step-by-step explanation:
Teachers average out your grades. In order to average numbers, you add all the numbers and divide by the number of numbers you just averaged. If you add 200 to 54 you get 254. 254 divided by 3 is 84. You will probably get higher then a 84 if those two 100's are majors but you should get around a 84% overall grade!
Find the value of m.
m + 20°
100°
A) 80°
B) 60°
C) 120°
D) 140
Answer: 80
Step-by-step explanation:
m + 20 = 100 [vertical angles are congruent]m = 80 [subtract 20 from both sides][tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{\bf{A}}\huge\text{ssuming ....}[/tex]
[tex]\mathsf{m + 20^\circ = 100^\circ}[/tex]
[tex]\huge\textbf{I}\huge\text{f so, then let's solve for your answer to your}\\\huge\text{given equation.... shall we?}[/tex]
[tex]\mathsf{m + 20^\circ = 100^\circ}[/tex]
[tex]\mathsf{m + 20 = 100}[/tex]
[tex]\huge\textbf{S}\huge\text{ubtract 20 to BOTH SIDES}[/tex]
[tex]\mathsf{m + 20 - 20 = 100 - 20}[/tex]
[tex]\huge\textbf{S}\huge\text{implify it!}[/tex]
[tex]\mathsf{m = 100 - 20}[/tex]
[tex]\mathsf{m = 80}[/tex]
[tex]\huge\textbf{T}\huge\text{herefore, your answer is: \boxed{\mathsf{m = 80^\circ}}}\huge\checkmark[/tex]
[tex]\huge\textbf{G}\huge\text{ood luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\textbf{A}\frak{mphitrite1040:)}[/tex]Choose a value for n, and then evaluate n^2.
Pick your favorite number and square it.
Squaring a number means you multiply it by itself.
Let's say you picked the number 7
7 squared = 7^2 = 7*7 = 49
Think of a 7 by 7 grid of tiny squares. There would be 49 total little squares to represent the total area. Graph paper might help visualize this.
Directions: Sketch a graph to match each of the following stories. Label key features of your graph
A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given situation can be drawn as shown below.
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Parker's dirt bike cost him $8000 at time of purchase. Each year its
worth has depreciated by 11%. How much is the dirt bike worth
after 5 years after purchase?
a. $4467.25
b. $5298.13
c. $5526.87
d. $6215.36
Answer:
a. 4467.25
Step-by-step explanation:
(8000)*(0.89^5) =
^- Standard interest formula
Answer:
you find the depreciation yearly
and Subtract the answer yearly for the number of year given the answer is a
Which of the following expressions are equivalent to 4+ (14 – 2)?
Choose 3 answers:
Answer:
A,C,E
Step-by-step explanation:
All three use double negative signs which cancel out into a plus sign. Moving the parentheses doesn’t change the value in these problems.
Find the magnitude of the vector <3, 6>
[tex]\text{Magnitude} = \sqrt{3^2 +6^2}\\ \\~~~~~~~~~~~~~~~=\sqrt{9+36}\\\\~~~~~~~~~~~~~~~=\sqrt{45}\\\\~~~~~~~~~~~~~~~=\sqrt{5 \times 9}\\\\~~~~~~~~~~~~~~~=3\sqrt 5[/tex]
Pls someone help ty it’s algebra
Answer:
I think it is letter b
Good luck
Step-by-step explanation:
The market value of Kara's home is $320,000. The assessment rate is 51.5%. The local property tax rate is $50.00 per $1,000 of assessed value. What is Kara's property tax?
$8,000, $8,240 , $7,646 , $8,864
The property tax of Kara's home will be $ 8,240. Then the correct option is B.
What is a tax?A government-mandated input to tax collections placed on employees' wages and corporate earnings, or factored into the price of certain products, activities, and activities.
The market value of Kara's home is $320,000. The assessment rate is 51.5%. The local property tax rate is $50.00 per $1,000 of assessed value.
Then the property tax of Kara's home will be
→ $ 320,000 x 0.515 x (50 / 1000)
→ $ 8,240
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If the area of the base (triangle) is 14 square centimeters, the volume of the
cubic centimeters.
Hello! :D
_________________________________________
ANSWER:
252 cm³SOLUTION :
14 × 18[tex]=[/tex] 252 cm³__________________________________________
Correct me if im wrong.
Answer:
252 cm is the anwer......
A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO). It must also appoint a planning committee with three different members. There are 14 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below.
Using the permutation formula and the combination formula, it is found that:
a) There are 24,024 ways to appoint the officers.
b) There are 1,001 ways to appoint the committee members.
c) [tex]p = \frac{1}{1001}[/tex] probability that the four youngest members are appointed to the committee.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Item a:
For the officers, the order is important, as there are different roles, and 4 officers will be appointed from a set of 14 qualified candidates, hence we use the permutation formula to find the number of ways they can be appointed.
[tex]P_{14,4} = \frac{14!}{10!} = 24024[/tex]
Item b:
For the committee, the order is not important, as there are no different roles, and 4 members will be appointed from a set of the 10 remaining candidates, hence we use the combination formula to find the number of ways they can be appointed.
[tex]C_{14,4} = \frac{14!}{4!10!} = 1001[/tex]
Item c:
The four youngest is only one possible outcome, hence the probability they are appointed to the committee is given by:
[tex]p = \frac{1}{1001}[/tex]
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A newborn baby weighs 5 lb 4 oz. What is the weight in kg? Round to the nearest hundreth
Answer:
2.38 kg
Step-by-step explanation:
5 lbs and 4 oz = 5.25 lbs
5.25 lbs to kg = 2.38
The weight of the newborn would be 2.38 kg.
Used the concept of measurement unit that states,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Given that,
A newborn baby weighs 5 lb 4 oz.
Since we know that,
1 oz = 0.0625 lb
Hence,
4 oz = 4 × 0.0625 lb
= 0.25 lb
So the newborn baby weighs is,
5 lb + 0.25 lb
= 5.25 lb
Since, 1 lb = 0.454 kg
Hence,
5.25 lb = 5.25 × 0.454
= 2.3835 kg
Round to the nearest hundredth,
5.25 lb = 2.38 kg
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if sally has 2 sea shells to sell and she only ends up selling one how many sea shells does she have left?
Answer:
2-1= 1
1 sea shell left with her
100 POINTS I need help on the problem! its 8th-grade math
Answer:
135.5
Step-by-step explanation:
A rectangle is 14 incheas long and 6 inches wide find the area
14 x 6 = 84
To find the area of a rectangle you need to multiply the length and the width of a rectangle. We can get the area of a rectangle by following this formula: A = L * W A is the area, L is the length, and W is the width.
(I will give brainliest and give 30 points)
Answer:
Option C. 1246 sq cm
Step-by-step explanation:
Break the irregular figure into 2 rectangles.
Start on the top. If we break it up top we get a rectangle with a length of 29 cm and a width of 8 cm.
The formula for the area of a rectangle is:
[tex]A=lw[/tex]
[tex]A=29*8[/tex]
[tex]A=232[/tex]
Now calculate the area of the second rectangle which has a length of 39 cm and a width of 26 cm. We will use the formula stated above.
[tex]A=26*39[/tex]
[tex]A=1014[/tex]
Now add the two areas together.
[tex]232+1014=1246[/tex]
Answer:
Step-by-step explanation:
S₁ = 39·34 = 1326 sq. cm
S₂ = (39 - 29)·8 = 80 sq. cm
S = S₁ - S₂ = 1326 - 80 = 1246 sq. cm
