Answer:
the probability that more than 3 of them will have more than one ounce of mustard is 0.05975
Step-by-step explanation:
Given te data in the question;
let x rep the quantity of mustard on a hotdog ( in oz)
so
X → N ( u = 0.9, α² = 0.01 )
now P( more than one ounces of mustard on a hotdog) will be
P( X>1 ) = P( Z > ((1-0.9)/(√0.01)) ) = P( Z > 1 ) = 1 - P( Z < 1 )
= 1 - 0.84134 = 0.15866
Also let Y rep the number of hotdogs that have more than one ounces of mustard, so
Y → Bin( n = 10, p = 0.15866 )
P( y = y ) = (¹⁰ _y) ( 0.15855)⁰ ( 1 - 0.15866 )^10-y, y = 0,1,2,3......, 10
so required probability = P(Y > 3) = 1 - P(Y ≤ 3)
= 1 - P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3)
=1 - (¹⁰ ₀) ( 0.15855)⁰ (1 - 0.15855)¹⁰⁻⁰ - (¹⁰ ₁) ( 0.15855)¹ (1 - 0.15855)¹⁰⁻¹ - (¹⁰ ₂) ( 0.15855)² (1 - 0.15855)¹⁰⁻² - (¹⁰ ₃) ( 0.15855)³ (1 - 0.15855)¹⁰⁻³
= 0.05975
Therefore the probability that more than 3 of them will have more than one ounce of mustard is 0.05975
Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
A plane is flying at 35,000 feet. it ascends 1,500 feet to avoid turbulence. it decends 3/5 of its new height to prepare for landing. what are the heights of the plane after it ascends and descends. (you need 2 answers)
Answer:Ascending Height : 36,500 feet Descending Height : 14,600 feet
Step-by-step explanation:
The expression -7y is a
A term
B variable
C constant
Answer:
A. Term
Step-by-step explanation:
A constant does not cointain a variable, a variable by itself does not contain a constant.
It's a term because it has a constant and a variable.
using the law of sines, solve for ‘x’
Answer:
[tex]x=9.91098[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASPreCalc
Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]Step-by-step explanation:
Step 1: Define
A = 15°
a = 7.5 mi
B = 20°
b = x
Step 2: Solve for x
Substitute: [tex]\frac{sin(15)}{7.5} =\frac{sin(20)}{x}[/tex]Cross-multiply: [tex]xsin(15)=7.5sin(20)[/tex]Isolate x: [tex]x=\frac{7.5sin(20)}{sin(15)}[/tex]Evaluate: [tex]x=9.91098[/tex]Explain how you know that two lines are perpendicular. Explain how you know that two lines are
parallel. Explain how you know that two lines are neither parallel or perpendicular. Give an example of a pair
of parallel lines and a pair of perpendicular lines.
Answer: Perpendicular lines intersect at right angles to one another. Parallel lines are lines that will go on and on forever without ever intersecting.
Step-by-step explanation:
Mr. Donald's age is 7 times of 1/5 of the total of students in this class plus 12 minus 1. Assuming this class has 25 students in total. What is Mr Donald age?
Answer:
46
Step-by-step explanation:
7×1/5×25+12-1
7×5+12-1
35+12-1
47-1
46
So the answer is 46
Could anybody please help me here from this picture? I am not sure which pair of sides can be congruent.
Answer: A) segment AB = segment AD
The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.
17 times the sum of a number, n, and 31 is 300. Write as an equation.
Answer:
17(n+31)=300
Step-by-step explanation:
17 times the sum of a number, n and 31 is 17(n+31)
and then set that equal to 300
What is 19,067 divided by 43
Answer:
443.418604651
Step-by-step explanation:
Thank you for the points!
have you ever have a dream that you that
Answer:
that you would you would you could do
what is the constant of porportionality between 9 and 4.5
Answer:
1/2
Step-by-step explanation:
4:9 is an equivalent ratio to 36:__
Answer:
36:81
Step-by-step explanation:
4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.
The ratio of boys to girls in a homeroom at Twin Rivers Middle School is 3:2
If there are 12 boys, how many girls are there in the homeroom?
Answer:
There are 8 girls in the homeroom
2. If f(x) = 2X^2 + 3X Find f(-5)
Answer:
35
Step-by-step explanation:
2(-5)^2+3(-5)
=2(25)+(-15)
=50-15
=35
PLS GIVE BRAINLIEST
Triangle ABC is an isosceles triangle. Angle A is the vertex angle. AB=8x-8 and AC=6x+9 find the length of one of the legs
Answer:
tge length is 14 make me brainliest
Step-by-step explanation:
I did it in a test and hit it correct
Use the substitution method to solve the system of equations.
2x + 3y = 12
y = x-1
A. (3, 4)
B. (0,4)
C. (3,2)
D. (2,3)
Answer:
(3,2)
Step-by-step explanation:
The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
How to solve the equations by substitution method?We are given the system of equations:
2x + 3y = 12
y = x-1
We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:
2x + 3(x-1) = 12
Simplifying the equation, we get:
2x + 3x - 3 = 12
5x = 15
x = 3
Now, we can substitute the value of x in either of the two equations to find the value of y:
y = x-1
y = 3-1
y = 2
Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).
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Ann bought a hat for $16.20, a discount of 30% off. She paid 8% for tax how much was the total?
Answer:
werwrweqetrweqtwqw3qty
Step-by-step explanation:
eryeqyqeweyewywewerye
Solve (t-3)^2=6. The arrow is at a height of 48ft after approximately ____s and after ___s
Answer:
s - t = 3. s/3 + t/2 = 6
Step-by-step explanation:
Answer:
0.55 & 5.45
Step-by-step explanation:
EDGE VERIFIED
If 2.2x10^6 - 4.3x10^5 what does this equal
Answer:
If the decimal is being moved to the left, the exponent will be positive. 1.77×10 ...
Step-by-step explanation:
Answer:
The answer is 1,770,000
Step-by-step explanation:
[tex]2.2 \times 10 {}^{6 } - 4.3 \times 10 {}^{5} [/tex]
1. Orders of Operation. Exponents come first before multiplication. So do the exponents first.
2.2×1,000,000-4.3×100,000
2. Order of Operation. Mutilpication comes before subtraction.
2,200,000-430,000
3. Subtract
1,770,000
EXITTICKET:If a car travels 50 m/h , for 5 hours, then how far did the car travel ? (Distance: time. .speed)
Answer:
50×5=250m
Step-by-step explanation:
he traveled 250 m
Answer:
250 miles
Step-by-step explanation:
If a car travels 50 miles per hour then we are given 5 hours as a time, we can multiply the two numbers together to get 250 miles. Let's see what the distance is after every hour:
1 hour: 50 miles
2 hour: 100 miles
3 hours: 150 miles
4 hours: 200 miles
5 hours: 250 miles
It is seen that after 5 hours a car driving 50mph would travel 250 miles!
Hope this helps!!
- Kay
why did my dog eat my cat???
Answer:
'Cause he was yummy and cats are ugly.
b) A quadrilateral has no pairs of parallel sides.
What two shapes could it be?
Answer:
I need points
Step-by-step explanation:
None
Answer:
um maybe a trapezoid and a rhombus i think
6. In his car, John can drive 75 miles on 5 gallons of gas. He drove
825 miles to visit his sister, how many gallons of gas did he use?
Answer: 55 Miles
Step-by-step explanation:
75x11=825
11x5=55
(GIVING BRAINLIEST!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK
6/15 + 3/10 + 3/5
Answer:
1 3/10
Step-by-step explanation:
Find the common denominator.
6/15 times 2
12/30
3/10 times 3
9/30
3/5 times 6
18/30
Add.
12/30 + 9/30 + 18/30 = 39/30
Simplify
13/10 = 1 3/10
10 POINTS AND BRAINLIEST TO THE CORRECT ANSWER A restaurant has a group of seats at the counter and t individual tables, where each table has the same number of seats. If 3t + 15 represents the total number of seats in the restaurant, what does 3
represent?
O the number of seats at each table
O the number of seats at the counter
O the total number of customers in the restaurant
O the total number of tables in the restaurant
Answer:
I think A
Step-by-step explanation:
The correct explanation for the number 3 will be;
⇒ the number of seats at each table.
Option A is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mathematical expression is;
⇒ 3t + 15
Where, t represent the individual tables.
And, The expression represents the total number of seats in the restaurant.
Now,
Since, 't' represent the individual tables.
Hence,
3t = Number of tables for 3 seats
Clearly, 3 represent the number of seats at each table.
Therefore,
The correct explanation for the number 3 will be;
⇒ the number of seats at each table.
Option A is true.
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What is an equation for the line that passes through the points (-2, 3) and (2, 1)
275964.618882 the nearest hundreth
275964.62 is to the nearest hundredth
Step-by-step explanation:
Please help
Solve the equation sqrt(x + 3) + 4 = 5 for the variable. Show each step of your solution process. (10 points)
Answer:
x=-2
Step-by-step explanation:
sqrt(x+3)+4=5
sqrt(x+3)=1
x+3=1
x=-2
In the expression, the value of variable x is - 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ √(x + 3) + 4 = 5
Now, We can solve the expression for x as;
⇒ √(x + 3) + 4 = 5
Subtract 4 both side, we get;
⇒ √(x + 3) + 4 - 4 = 5 - 4
⇒ √(x + 3) = 1
Taking square both side,
⇒ (√(x + 3))² = 1²
⇒ x + 3 = 1
Subtract 3 both side,
⇒ x + 3 - 3 = 1 - 3
⇒ x = - 2
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Use this expression to name each item. 7m3 + 6r2 – 3r - 8
Answer:
In the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Step-by-step explanation:
We are given the expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]
We need to give variable, coefficients and constant.
Variable: The value of variable may change. It can be represented by x, y or any other letter
Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient
Constant: It is fixed value. It cannot be changed.
So, in the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Kelly wants to buy a pair of pants that regularly cost $29.99, but they are on sale for 20% off. How much would Kelly pay for the pants after the discount, and
after the sales tax of 6%
Answer:
Black Friday sales
Step-by-step explanation: