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
graph the equation y + x = 14
I need help plz
Please look at the snapshot and only answer if you are good at math.
Answer:
First, let's divide each term of -7b^5 + 42b^4 and 7b by 7.
(-7b^5 + 42b^4) ÷ 7b
/7 /7 /7
Next, we use the distributive property to multiply 6b^4 - b5 by b.
b x (6b^4 - b^5)
Answer: 6b^5 - b^6
Mark Brainliest and rate excellent!
santiago drew a scale drawing of a community college. he used the scale 2 centimeters : 1 meter. The actual length of a building at the college is 76 meters. how long is the building on the drawing ?
Answer:
The building is 152 cm long.
Step-by-step explanation:
-We can solve using proportion!:
[tex]\frac{2 cm}{1 meter} = \frac{x}{76 meters} \\\\\frac{1x}{1} =\frac{152}{1} \\\\\\x = 152[/tex]
-2x + y = 1.3
2(0.5x - y) = 4.6
Answer:
x=-2.4
y=-3.5
Step-by-step explanation:
What is the interest on Rr 20,000 if the interest rate is 15%?
Answer: Rr.3,000
Step-by-step explanation:
The interest is the amount that accrues on a principal that was invested or a cost that was incurred.
It is based on a certain interest rate which in this case is 15%.
The principal is Rr. 20,000.
Interest = Principal * Interest rate
= 20,000 * 15%
= Rr.3,000
4x2 - 7 + 2x - 3x² + 8x - 6
Answer:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Step-by-step explanation:
someone help!!!!!!!!
Answer:
1) given
2) alternate interior angles
3) given
4) definition of midpoint
5) vertical angles
6) ASA
Step-by-step explanation:
Please this is urgent I need help please answer me
Answer:
u have the answer yet?
Step-by-step explanation:
?
Triangle MNO is an equilateral triangle with sides
measuring 16/3 units.
What is the height of the triangle?
Answer:
24
Step-by-step explanation:
Can someone help me out real quick?
Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Answer:
a= 8 and PQ= 28
Step-by-step explanation:
since triangle XYZ and triangle PQR are congruent, we will write the equation like this:
PQ=XY
3a+4= 5a—12
3a—5a= —12—4
—2a= —16
a= 8
SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ
PQ= 3a+4
PQ= 3(8)+4
PQ= 24+4
PQ= 28
Question 5 of 5
Find the length of side a.
13
a
12
O A. 1
O B. 313
O C. 25
O D. 5
Answer:
It's D. 5
Step-by-step explanation:
A^2 + B^2 = C^2
The third length of the right triangle is 5 units. Then the correct option is D.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
We have
P = a
B = 12
H = 13
Then
13² = a² + 12²
169 = a² + 144
a² = 169 – 144
a² = 25
a = 5
Then the correct option is D.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
This is correct right?
Answer:
Yes, it is not a diameter
Step-by-step explanation:
It's going through the circle (sphere) which makes it a diameter
I and D are not going straight through the middle
Solve the inequality.
-4(2n-6)
Answer: -8n + 24
Step-by-step explanation:
-4(2n-6)
-8n + 24
Answer:-8n+24
Step-by-step explanation:
Line passes through ( 2,4 ) with slope = 3
Answer:
the slope intercept-form of an equation of a line is y=mx+b
Given that the slope is 3 and a point on the line is P(-2, 4), then
m=3 and from the point (-2, 4), x=-2 and y=4.
Step-by-step explanation:
y=mx+b.
4=3(-2)+b Now solve for b.
4=-6+b
4+6=b
10=b
Now you know b=10 and you already know the slope m=3. Substitute these values into y=mx+b. When you do you will get y=3x+10. This is your answer in slope intercept form.
The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
represented about x and the second number is represented about y. Write the equation that goes with
this description.
Answer:
x + y = 49
y = x - 15
Step-by-step explanation:
The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)
The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)
Therefore the equations will be
x + y = 49
y = x - 15
Answer:
Step-by-step explanation:
The sum of 2 numbers is 49
x + y = 49
The second number is 15 less than the first number.
y = x - 15
which of the following is a solution to the linear function y = 4/5x+7
Solve by completing the square:
2) 3x2 + 24x - 27 = 0
I NEED HELP ASAP PLEASEEE!!!! WILL GIVE BRAINLIEST !!
Hannah and Becky are learning to type on a cormputer keyboard. Hannatfs
typing speed is represented by the equation y = 11z vwhere y is the nurnber of
words she types and x is the nurmber of minutes, Becky's typing speed is
given by the graph.
60
36
1
2
Time (minutes)
4
Answer:
it's d credit to the people who said it
Hanna's typing speed is one word fewer than that of Becky's speed.
What is the general equation of a Straight line? What is equation modelling?The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are Hannah and Becky, who are learning to type on a computer keyboard. Hanna's typing speed is represented by the equation y = 11z. Becky's typing speed is given by the graph as shown in the question.
Now, for Hanna, her typing speed would be -
11 words per minute
For Becky, the slope of the graph will be -
m = (24 - 12)/(2 - 1)
m = 12
12 words per minute
It can be seen easily that Hanna's typing speed is one word fewer than that of Becky's speed.
Therefore, Hanna's typing speed is one word fewer than that of Becky's speed.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
guys I need help
plss answer activity 1.2.3 & 4
as long as you can... I will mark you brainliest
I will be happy if you help me
(╯︵╰,)
Answer:
Activity 1:-
1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So
[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]
[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).
2) Area of a parallelogram = Altitude × Base
Base = 10 cm. So ,
[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).
3) Let the fare of 1 unit distance be f
So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).
4) Let the distance be 'D' , speed be 's' & time be 't' .
We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).
5) We know that area of a square (A) = side² (s²)
[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).
Activity 2:-
1) p is directly proportional to sum of u & w.
⇒ p ∝ u + w
⇒ p = k (u + w)
Putting the values of p , u & w
⇒ 14 = k(4 + 3)
⇒ 7k = 14
⇒ k = 14/7 = 2
2) r is directly proportional to square of t.
⇒ r ∝ t²
⇒ r = k × t²
Putting the values of r & t
⇒ 16 = k × 16²
⇒ k = 16² ÷ 16 = 16
3) y is directly proportional to cube root of x.
⇒ y ∝ ∛x
⇒ y = k × ∛x
Putting the values of x & y ,
⇒ 2 = k × ∛27
⇒ 3k = 2
⇒ k = 2/3
4) z is directly proportional to cube of d.
⇒ z ∝ d³
⇒ z = k × d³
Putting the values of d & z ,
⇒ 5 = k × 2³
⇒ 8k = 5
⇒ k = 5/8
5) Total Surface Area (SA) is directly proportional to square of the sides (s).
⇒ SA ∝ s²
⇒ SA = k × s²
Putting the values of SA & s ,
⇒ 96 = k × 4²
⇒ 16k = 96
⇒ k = 96/16 = 6
Tell which number is greater.
17%, 4/25
Bethany can mow her lamily's lawn in 4 hours. Her brother coin can mow the lawn into hoursWhich equation can ve
used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
what do I dooooo i dont know how to do dis
Answer:
Concept: Rate of change
Rate of change is always referred to as slope or the change over time Hence it is [tex] \frac{x}{y} [/tex]With x as the change and y as the time Let us fill our the table: Assume that the hourly rate is 10 Hence for 1 hour: total earning= 10For 10 hours: Total Earning= 100For 20 Hours: Total Earnings= 200 Rate brainlistwhat percent of 12 is 40?
A. 0.25%
B. 4%
C. 25%
D. 40%
E. 400%
Answer:
25%
Step-by-step explanation:
If you would like to know what percent of 48 is 12, you can calculate this using the following steps:
x% of 48 is 12
x% * 48 = 12
x/100 * 48 = 12 /*100/48
x = 12 * 100 / 48
x = 25%
The correct result would be C. 25%.
1. Simplify the rational expression (5 3/2)(5 1/2)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5 \dfrac{3}{2} \times 5\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{5\times2+3}{2}\times\dfrac{5\times2+1}{2}}[/tex]
[tex]\mathsf{= \dfrac{10 + 3}{2}\times\dfrac{10 + 1}{2}}[/tex]
[tex]\mathsf{= \dfrac{13}{2}\times\dfrac{11}{2}}[/tex]
[tex]\mathsf{= \dfrac{13\times11}{2\times2}}[/tex]
[tex]\mathsf{= \dfrac{143}{4}}[/tex]
[tex]\mathsf{= 35 \dfrac{3}{4}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{= 35 \dfrac{3}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is 0.82 as a fraction in simplest form?
(I also need the work if not its ok!)
Answer:
f 41/50
Step-by-step explanation:
Solve?? Wat is it plss?
A product promoter will be working a booth at the county fair. The worker will be paid $30 for the day and an additional $2 for every person they get to sign up for a trial of their product. Write an equation that models the situation. Y represents the total amount of money earned for a day. X represents the number of people signed up for a trial of the product.
Need the answer soon!
What would the Equation be.
Answer:
I believe it is Y=30+2x
Step-by-step explanation:
Since the $30 is given no matter what, we can use it as b.
Since slope always changes, we use it as our m.
X= amount of people
2= charge per person
If there were 5 people there, the equation would look like this: y= $2(5)+$30
The dollar signs are just an aid.
Answer:
Y=2x+30
Step-by-step explanation:
The b is 30
While the slope is 2
Using y=mx+b that will be your answer.
Simplify: 5d?(3d - 2)
A
8d8 + 3d2
B.
15d3 + 3d
C 15d3 - 10d2
D 8d3-10d?
Which of the following uses the reciprocal property to rewrite x/5 = 72/4
Please help me :)
Answer:
??You texted incomplete question.
By the way, x = 90
