Answer:
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
Step-by-step explanation:
Step(i):-
Given a certain insecticide kills 60% of all insects in laboratory experiments
Given proportion p = 0.60
q = 1 - 0.60 = 0.40
Given sample size 'n' = 12
Step(ii):-
Let "X' be the random variable of binomial distribution
[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 10 insects will die
[tex]P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}[/tex]
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66[/tex]
[tex]P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385[/tex]
Final answer:-
The probability that exactly 10 insects will die
P( X = 10 ) = 0.06385
In Mr. Romano‘s class, 40% of the students like baseball. If 14 of his students
like baseball, how many students are in Mr.Romano’s Class?
Answer:
35
Step-by-step explanation:
The number of students in Mr.Romano’s class is 35.
Given that, in Mr. Romano‘s class, 40% of the students like baseball.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of students in Mr.Romano’s class be x.
Here, 40% of x = 14
⇒ 40/100 × x = 14
⇒ 0.4x = 14
⇒ x = 14/0.4
⇒ x = 35
Therefore, the number of students in Mr.Romano’s class is 35.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Need help if u do I will put brainliest
Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
Chandra uses 1/4 ounce of fish food to feed 5 goldfish. What is the unit rate in ounces of fish food per goldfish?
Answer:
1/20
Step-by-step explanation:
The length of a rectangle in terms of x is x + 8, and its width is 2x + 3. What is the perimeter of this rectangle?
Answer:
59
Step-by-step explanation:
value in a expansion is 5
expansion
simplistic form
Eugene sold half of his comic books and then bought eight more. He now has 32. With how many did he begin?
Answer:
48 books
Step-by-step explanation:
32-8 = 24
24= 1/2 of total
24x2=48
Answer=48 books
Check:
48/2=24
24+8=32
YAY!!
Answer:
48 comic books
Step-by-step explanation:
Let's use x as the amount that he originally had.
If he sold half of them, that would be:
(1/2)x
Then he bought 8 more, so you would add 8 to that total.
(1/2)x + 8
If he now has 32 then we need to set that equation to equal 32.
(1/2)x + 8 = 32
Subtract 8 from each side.
(1/2)x = 24
Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.
So,
x = 48
Check work
(1/2)x + 8 = 32
(1/2)(48) + 8 = 32
Half of 48 is 24.
24 + 8 = 32.
32 = 32.
W + 7 < 4 you don’t have to show work
It is not possible to divide 22 by 0 because there is no you can ______ by 0 and get 22.
A. multiply
B. add
C. subtract
D. divide
Answer:
divide
Step-by-step explanation:
divide
..........................
Answer:
its A.multiply
Step-by-step explanation:
if you cannot divide than you cannot multiply
Can someone please help
Answer:20 minutes
Step-by-step explanation:
A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of l only.
Answer:
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
Step-by-step explanation:
The length of the box = [tex]l[/tex]
The height of the box = [tex]h[/tex]
The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.
The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]
hence volume = [tex]l^2 \times h =29[/tex]
Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.
[tex]h =29/l^2[/tex]
In the next phase, we are to find the surface area of the box.
The box has a square base, hence it will be made up of
2 squares with 4 rectangles. This is assuming the top is closed.
This means the surface area will be
[tex]2(l^2) +4 (l\times h)[/tex]
recall [tex]h = 29/l^2[/tex]
Hence, surface area =
[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]
The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]
The surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
What is of volume of cuboid?
Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of cuboid or box can be given as,
[tex]V=l\times b\times h[/tex]
Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.
A closed box has a square base with side length l feet and height h feet. Therefore, the length and width will be the same.
The volume of the box is 29 cubic feet. Thus,
[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]
The surface area of the square base box is,
[tex]A=2l^2+4lh[/tex]
Put the value of height,
[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]
Hence, the surface area of the closed box in terms of l only, which has the square base is,
[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]
Learn more about the volume of cylinder here;
https://brainly.com/question/12748872
What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?
Use the table below to answer this question:
x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.
Answer:
The answer is A
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
what is 4 1/2-3 5/6 from page 393 GO Math book
Answer:
The answer is 1/6
Step-by-step explanation:
This is the answer because it is.
Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.
Step-by-step explanation:
Kindly make the question clearer for assistance
Help solve inequality
Answer:
n ≥ -95
Step-by-step explanation:
[tex]\frac{n}{-5}[/tex] -4 ≤ 15
[tex]\frac{n}{-5}[/tex] ≤ 19 add 4 to 15
n ≥ -95 multiple -5 to 19; sign flips when multiplying or dividing an inequality
i need help pls help me
Answer:
yes
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
you have to multiply 2/3 by 27 km
Find all solutions in the interval [0, 2pi).
tanx+ secx =1
a) x=pi/4
b) x=0
c) x=5pi/4
d) no solution
Answer:
1 should be the answer bi
Step-by-step explanation:
Convert the mixed number below to an improper fraction.
523
Answer:
17/3
Step-by-step explanation:
if you meant 5 2/3
Multiply the denominator by the whole number
3 x 5= 15
Add the answer above to the numerator
15 + 2= 17
Write the answer from above over the denominator
17/3
mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?
Answer:
40
Step-by-step explanation:
20 x 2 because you will need 2 bags per kg
-4 > x - 3 find x in the equation
Answer:
X= -1
Step-by-step explanation:
2 2/3 x 1 1/8
Multiply mixed fractions
Answer:
3
Step-by-step explanation:
Hi please help me answer this :)
Explain answer
Will give braisnlt
Answer:
There are no solutions
Step-by-step explanation:
No intersections or points that apply for the equations.
Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
-6
Answer:
O The range of the function is all real numbers greater
than or equal to 0.
Step-by-step explanation:
The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
Answer:
C:domain: all real numbers
range: all real numbers greater than 1
Step-by-step explanation:
Edge 2021
does anyone know this please help
Answer:
It is the 3rd graph
Step-by-step explanation:
It is the only one that shows a porpotional relationship.
Answer:
sry mate.....
............
2 ( x + 1 )
it's just a simple warm up question, please hurryyy.
Answer:
2x+2
Step-by-step explanation:
It's multiplicative distribution - when you multiply something in parenthesis by another expression, you distributively multiply the expression to the expression in the parenthesis.
m over 8 minus 5 equal 12
Answer:
m = 136
Step-by-step explanation:
m/8 - 5 = 12
1. Add 5 on both sides
m/8 - 5 + 5 = 12 + 5
m/8 = 17
Multiply 8 on both sides since u are trying to isolate the variable
m/8 * 8 = 17*8
m = 136
Check
136/8 - 5 = 12
17 - 5 = 12
12 = 12
Hope it helped!
Step-by-step explanation:
[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem
[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side
[tex]\frac{m}{8}[/tex] = 17 : Simplification
[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable
m = 136 : The answer!!!
Checking the answer
[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution
[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification
136 = 17 × 8 : Isolating the answer
136 = 136 : Success!!!
I hope this is what you wanted and I hope this helps!!!
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]
A community garden center host a plant giveaway every spring to help community members start there gardens. Last year the give away supported 50 families by giving away 150 plants. Based on this ratio hawa many plants will they give away this year in order to support 65 families
Answer:
195 plants (verified) ✅Step-by-step explanation:
We will use a proportion to solve this.
x/y = x/y
let x = the number of families in each case
let y = the number of plants in each case
Since we don't know the second y, we will leave that as y and solve for it.
50/150 = 65/y
Cross-multiply
50y = 9750
Divide
195 = y
Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.
50 (195) = 9750
9750 = 9750 ✅