Answer: 0.0386
Step-by-step explanation:
Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30
Sample size : n = 12
Let x = Number of contaminated chickens
Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.
Binomial probability formula:
[tex]P(X=x) = \ ^nC_x p^x(1-p)^{n-x}[/tex]
The probability that the consumer will have more than 6 contaminated chickens :-
[tex]P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0[/tex]
[tex]=0.03860084306\approx0.0386[/tex] (simplified)
Hence, the required probability = 0.0386
Can anyone help me understand?? I genuinely don’t understand. Thank you!
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
Explain or show - Describe how the graph of y=3x+1 is the same and different from the graph of y=3x+4. your reasoning YA a. How are they the same? b. How are they different? x c. Explain or show your reasoning: (Feel free to use graph paper if you'd like.)
Answer:
a.) they have the same slope
b.) they have different y-intersepts
c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.
Find the range of the function f(x) = 4x – 1 for the domain {-1, 0, 1, 2, 3}.
A. {-5, -3, 0, 7, 11}
B. {-5, -4, -3, -2, -1}
C. {-11, -7, -3, 1,5}
D. {-5,-1, 3, 7, 11}
Answer:
D
Step-by-step explanation:
f(-1) = -5, so C is incorrect
f(0) = -1, so D is correct
Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)
Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
Find the length of the midsegment of an equilateral triangle with side lengths of 12.5 cm. and please explain how you got it :)
Answer:
12.5 cm
Step-by-step explanation:
An equalateral triangle is one with all the sides the same length.
3y-z ; use y=6 and z=6
Answer:
12
Step-by-step explanation:
y = 6; z = 6
3y - z = 3(6) - 6 = 18 - 6 = 12
Answer:
12
Step-by-step explanation:
3y-z is asking 3 x 6 - 6, which equals 12
(3 x 6 = 18 and 18 - 6 = 12)
John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?
Answer:
850 but im not sure lol
Step-by-step explanation:
645 + 225 = 870
1,320 - 870 = 450
450 + 350 = 800
800 + 50 = 850
Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot and the guard travels at 56 mph by car, how far from the prison will the convict be caught by the guard?
***WILL MARK BRAINLEST***
Tiffany has crayons that she is going to melt down into a block. If each crayon has a diameter of .25 inches and a height of 3 inches, how many will she have to melt down to fill her block mold that has a volume of 6 in?? Don't include the tip of the crayon. Round your answer to the nearest whole number.
Answer:
40
Step-by-step explanation:
The volume of a cylinder is = to [tex]\pi[/tex][tex]r^{2}[/tex]h, so plug in the values and you get that each crayon has a volume of about 0.15 inches. 6/0.15 = 40. :)
Which statement explains how the lines x − y = 2 and y = x + 1 are related?
1. They are parallel.
2. They are perpendicular.
3. They are the same line.
4. They are not related.
Answer:
4, they are not related
Step-by-step explanation:
x - y = 2 and y = x + 1
x - y = 2
subtract x
-y = 2 - x
divide by the negative
y = -2 + x or y = x - 2
they are not related
Answer:
The Answer Is A) they are parallel
Step-by-step explanation: i took the test and it was right i hope i helped!
Solve for z.
Z/4 - 11= -9
Z=
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answer:
90
Step-by-step explanation:
Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.
11) 6x2+ 6x3
12) -6x 2 + (-6) x3
13) 5x - 8x
Answer:
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Step-by-step explanation:
Let us solve the question one by one.
11) 6x^2+ 6x^3
In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.
[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]
The factored form is:
[tex]= 6.x.x+6.x.x.x[/tex]
12) -6x^2 + (-6) x^3
Similarly, as 11
[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]
The factored form is:
[tex]=-6.x.x+ (-6).x.x.x[/tex]
13) 5x - 8x
We can clearly see that there is only one common factor in both terms which is x
[tex]5x = 5.x\\8x = 8.x[/tex]
The factored form is:
[tex]=5.x-8.x[/tex]
Hence,
11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x
12) -6x^2 + (-6) x^3 = -6.x.x + (-6).x.x.x
13) 5x - 8x = 5.x -8.x
Name the triangles that are similar, if any of them are.
Answer:
I think A and B as they both have 27- degree angles
Step-by-step explanation:
I MAY BE WRONG SORRY
4(1-2b)+7b-10
helpp please and please don't say use a calculator i need the answer cause i really need to pass
Answer:
if you're simplifying, it should be = -1b - 6
Step-by-step explanation:
1. 4(1-2b) + 7b -10 solve the parenthesis
2. 4 - 8b + 7b - 10 combine like(same) terms
3. 4 - 1b - 10 same as 2.
4. -1b - 6
please help me please will give brainliest to anyone who is good
Answer:
D
Step-by-step explanation:
Number of days in school = 180-7 days missed = 173
Percent = Part/Whole x 100%
Percent = 173/180 x 100%
Percent = 96%
What is the simplified expression for
-3x2 + 5x + 2 - 1 - 7x + 3x2
Answer:
-2x + 1
Step-by-step explanation:
1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2
2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)
3: 0 - 2x + 1
4: -2x + 1
Step 1: Given equation
Step 2: Group the terms with similar exponents together
Step 3: Add the terms together
Step 4: Simplify completely
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Answer:
25% chance
Step-by-step explanation:
How many times as great is 2x10^-8 is6x10^-3?
Answer:
300,000.
Step-by-step explanation:
6x10^-3 / 2x10^-8
= 3 x (10^(-3- (-8))
= 3 x 10^5
= 300,000
Which of the following are polynomials
Answer:
I would think that 2x+3y+4 would be the answer.
Step-by-step explanation:
help help help please ! :(
Answer: 5 units
Step-by-step explanation:
?????????
????!???? ????
Fill in the blanks with '<'or'>?.
(a) 0.4 m
0.6 m
(b) 0°C
-4°C
(c) -2 °C
-2.5 °C
Answer:
See below.
Step-by-step explanation:
(a) 0.4 m < 0.6m
(b) 0°C > -4°C
(c) -2°C > -2.5°C
The rectangles are similar. What is the value of y?
Answer:
y=9
Step-by-step explanation:
The rectangles are similar, so simply work with the ratios and divide to find the vaule of y.
60/4=15
36/4=9
Simplify each exponential expression using the properties of exponent and match it to the correct answer
Answer:
Step-by-step explanation:
3^-3*2^-3*6^3 = 1
last one=2
2nd one =1/2
Answer:
I cant see your question clearly
Step-by-step explanation:
What are the y values for the equation : y=0X-4 if x=-3
Note: Your equation expression seems a little unclear. So, I am assuming that your expression is
y = x - 4
The solution steps would anyway still clear your concept so that no matter what you can solve whatever the expression it is because the procedure remains the same.
Answer:
The value of y = -7 if x = -3
Step-by-step explanation:
Assuming the given the expression
[tex]y = x - 4[/tex]
Given that we have to find the value of y if x = -3.
so substituting x = -3 in the equation
[tex]y = x - 4[/tex]
[tex]y = (-3) - 4[/tex]
[tex]y = -3-4[/tex]
[tex]y = -7[/tex]
Therefore, the value of y = -7 if x = -3
The graph of the equation y = x- 4 is also attached below.
Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?
Answer:
Domain: Al real values
Range: All real numbers
Step-by-step explanation:
Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?
Given the functions'
f(x)=e^x and g(x)=x+6.
gof(x) = g(f(x))
g(f(x)) = g(e^x)
Substitute x with e^x in g(x) as shown:
g(f(x)) = e^x + 6
The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values
√−100 = ___+ ___i
what is this?? the lesson is called simplifying square roots of negative numbers.
Answer:
√−100 = 0 + 10i
Step-by-step explanation:
i is equal to the square root of -1
change sqrt(-100) to sqrt(-1) * sqrt(100)
i * 10
10i