The probability that the sample mean would be less than 40.6 dollars will be 0.534.
What is a normal distribution?The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x – μ) / σ
The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.
If a sample of 51 bags of shrimp is randomly selected.
Then the probability that the sample mean would be less than 40.6 dollars will be
z = (40.6 – 40) / 7
z = 0.0857
Then the p-value will be
P(x < 40.6) = P(z < 0.0857)
P(x < 40.6) = 0.534
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How many yards are in 1 mile 60 feet?
Answer:
1780
Step-by-step explanation:
multiply the length value by 1760
and then divide the length value by 3
what is the first shape
Answer:
The first type of solid shapes to be discovered are known as Platonic solids, which include the cube, the tetrahedron, the octahedron, the dodecahedron, and the icosahedron
Word Problem 3 Priscilla works 43 hours a week for eight weeks. If she makes $14.73 per hour, how much money did she make in the eight weeks? Operation(s): Math sentence(s): Solution: Word Problem 3 Priscilla works 43 hours a week for eight weeks . If she makes $ 14.73 per hour , how much money did she make in the eight weeks ? Operation ( s ) : Math sentence ( s ) : Solution :
Answer:
$5067,12
Step-by-step explanation:
14,73*43*8
The required money Priscilla will earn in 8 weeks is $5067.12.
As mentioned in the question, Priscilla works 43 hours a week for eight weeks. If she makes $14.73 per hour,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the amount earned be x,
According to the condition,
x = 8 × 43 × 14.73
x = $5067.12.
Thus, the required money Priscilla will earn in 8 weeks is $5067.12.
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Superman needs to save lois from the clutches of lex luthor. It take superman 5 seconds to get to Lois who is 210 feet away. What is supermans rate?
Answer:
42 ft/s
Step-by-step explanation:
if superman travels 210 feet in 5 seconds, he will travel a fifth of 210 ft in 1 second
a fifth of 210ft is 210/5=42
hence 42ft/s is his rate.
The difference between two numbers is -1 and their sum is 1. Find the two numbers.
Answer:
Let the no. be X and Y
X - Y = (-1)
X + Y = 1
X = (-1)+ Y
X = 1 - y
- 1.+ y = 1 - y
Y + Y = 1 + 1
2y = 2
Y = 1
X = 0
Answer:
x = 0 (first number), y = 1 (second number)
Step-by-step explanation:
x will represent the first number, and y will represent the second.
x - y = -1
x + y = 1
Now, it's time to get y by itself in one equation so that we can substitute.
x - y = -1 (subtract x from both sides)
-y = -1 - x (multiply both sides by -1)
y = x + 1
Plug in x + 1 for y in the second equation.
x + x + 1 = 1 (combine the x with the x)
2x + 1 = 1 (subtract 1 from both sides)
2x = 0 (divide both sides by 2)
x = 0
Since x = 0, we can plug 0 in for x into any equation to solve for y.
0 + y = 1
y = 1
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On Sunday, a local hamburger shop sold a combined total of 512 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
Answer:
512? xd
Step-by-step explanation:
Answer:
128
Step-1by-step explanation:
An easy way of solving these sort of problems is to set up an equation
Since we have a total, that being 512 burgers, we can set an equation equal to that number.
We can say that hamburgers is represented by x. Since we sold 3 times more cheeseburgers than the amount of hamburgers, we can represent this as 3x.
Since these totals are combined, we can represent this via an equation:
512 = x + 3x
Solve for x accordingly, and we are given 128, which is equal to the amount of hamburgers.
what is −4/5+40/75+100%=
-0.8+1.875+100%
1.05+100%
0.1
A shop advertised a 24%-off sale. If a coat originally sold for $258, find the decrease in price and the sale price.
The decrease in price is $
The sale price is $
کے
Answer:
The decrease in price is $61.92
The sale price is $196.08
Step-by-step explanation:
24% × 258 = 61.92
258 decrease 24% =
258 × (1 - 24%) = 258 × (1 - 0.24) = 196.08
What is the perimeter in units ?
Answer:
12 + [tex]4\sqrt{5}[/tex] approximates to 20.944
Step-by-step explanation:
VU - 8 units
UW - 4 units
VW - [tex]\sqrt{64+16} = \sqrt{80} =4\sqrt{5}[/tex]
12 + 4sqrt(5)
Answer:
6 (2 + √5) units
Step-by-step explanation:
Finding the length of the 3rd side :
*Applying Pythagorean Theorem*
VW² = 4² + 8²VW² = 16 + 64VW = √80VW = 6√5The perimeter :
4 + 8 + 6√512 + 6√56 (2 + √5) units1. Solve the given linear equations for 'x':
i ) 3(2x - 3) = 4(2x + 4)
ii )2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)
2. Solve : 3x /4 - 7 /4 = 5x + 12 =
3. Show that x = 4 is a solution for the equation x +7 - 8x/3 = 17/6 - 5x/8
4. Three consecutive integers are as such they are taken in increasing order and multiplied by 2, 3, and 4, respectively, they add up to 56. Find these numbers.
5 . Jane is 6 years older than her younger sister. After 10 years, the sum of their ages will be 50 years. Find their present ages.
6. The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?
7. The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get 99. Find the original number.
8. A steamer goes downstream and covers the distance between two ports in 4 hours while it covers same distance upstream in 5 hours .If the speed of the stream is 2km per hour find the speed of the streamer of still water.
9 .Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4,00,000. How many notes of each denomination does she have?
10. The age of a man is 24 years more than his son. In two years, the father's age will be twice that of his son. Find the present age of his son.
Pls tell all answers with rought work
i ) 3(2x - 3) = 4(2x + 4)
[tex]6x - 9 = 8x +1 6 \\ \\ 6x - 8x = 16 + 9 \\ \\ - 2x = 25 \\ \\ x = - \frac{25}{2} .[/tex]
ii )2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)
[tex]2x + 4 + 5x + 25 = 4x - 32 + 2x - 4 \\ \\ 7x + 29 = 6x - 36 \\ \\ 7x - 6x = - 36 - 29 \\ \\ x = - 65.[/tex]
----------------------2. 3x /4 - 7 /4 = 5x + 12
[tex] \frac{3x}{4} - \frac{7}{4} = 5x + 12 \\ \\ \frac{3x}{4} - 5x = 12 + \frac{7}{4} \\ \\ \frac{3x - 20x}{4} = \frac{48 + 7}{4} \\ \\ \frac{ - 17x}{4} = \frac{55}{4} [/tex]
cancel 4 from both sides
[tex] - 17x = 55 \\ \\ x = \frac{ - 17}{55} .[/tex]
-------------------3. x +7 - 8x/3 = 17/6 - 5x/8
[tex]x + 7 - \frac{8x}{3} = \frac{17}{6} - \frac{5x}{8} [/tex]
put x = 4
[tex]4 + 7 - \frac{ 8\times 4}{3} = \frac{17}{6} - \frac{5 \times 4}{8} \\ \\ 11 - \frac{32}{3} = \frac{17}{6} - \frac{20}{8} \\ \\ \frac{33 - 32}{3} = \frac{68 - 60}{24} \\ \\ \frac{1}{3} = \frac{8}{24} \\ \\ \frac{1}{3} = \frac{1}{3} .[/tex]
L.H.S. = R.H.S.
--------------------4. Let 3 consecutive integers : x , x+1 , x+2
As per the question : 2x + 3(x+1) + 4(x+2) = 56
9x + 11 = 56
Transpose 11 to RHS
9x = 45
Divide both sides by 9
x = 5 ,
x + 1 = 5 + 1 = 6
x + 2 = 5 + 2 = 7
Numbers are 5 , 6 and 7 .
-----------------------5. Let the age of Jane’s younger sister is x.
Age of Jane will be x + 6
As per the question, after 10 years the sum of their ages will be 50.
After 10 years,
age of Jane = x + 16
age of her younger sister = x + 10
Therefore,
x + 16 + x +10 = 50
2x + 26 = 50
2x = 24
x = 12
Thus, the present age of Jane’s younger sister is 12 years.
And of Jane’s is 12 + 6 = 18 years.
---------------------6. Let the breadth of rectangular swimming pool be x metres.
Then, its length = (2x + 2) metres.
We know that the Perimeter of a rectangle
= 2(Length + Breadth)
= 2(2x + 2 + x) = 6x + 4
According to the given condition, we have
6x + 4 = 154
6x = 154 − 4
6x = 150
[Dividing both sides by 6]
x = 25
Thus, breadth = 25 m and
length = 25 × 2 + 2 = 52 m .
---------------------7. Let the digit in ten's .
Place be x and the digit in the one's place be y.
x − y = 5 ⟶ (i)
Two digit number = 10x + y
Two digit after reversing the digits = 10y + x
According to question ,
10x + y + 10y + x = 99
11x + 11y = 99
x + y = 9 ⟶ (ii)
On adding (i) and (ii),
2x = 14
x = 7
Putting the value of x in equation (i)
x − y = 5
y = 2
Number = 10x + y
=72 .
-----------------------8. Let the speed of the steamer in still water be x km/h.
Then , the speed downstream = (x+2) km/h
and the speed upstream = (x−2) km/h
Given , distance covered in 4 hours downstream = distance covered in 5 hours upstream
4(x + 2) = 5(x − 2)
4x + 8 = 5x − 10
4x − 5x = − 10 − 8
[Transposing 5x to LHS and 8 to RHS]
−x = −18 or x = 18 km/h .
-----------------------9. Let the number of notes of different denomination be x.
∴ Numbers of Rs 100 notes , 50 notes and Rs 10 notes will be 2x , 3x and 5x respectively.
Amount of 100 Rs notes ⇒Rs 100 × 2x = 200x
Amount of 50 Rs notes ⇒Rs 50 × 3x = 150x
Amount of 10 Rs notes ⇒Rs 10 × 5x = 50x
As per the question
Total amount = 400000
200x + 150x + 50x = 400000
400x = 400000 , x = 1000
No of Rs 100 notes = 2x = 2 × 1000 = 2000
No of Rs 50 notes = 3x = 3 × 1000 = 3000
No of Rs 10 notes = 5x = 5 × 1000 = 5000 .
------------------------10. Let the age of the man be x
Then age of his son becomes (x − 24)
2 years later from now,
Age of man will be = x + 2
and age of his son will be = (x − 24 + 2) = x − 22
According to question,
2(x − 22) = x + 2
i.e., 2x − 44 = x + 2
i.e., x = 46
Therefore ,
Present age of man = 46 years
And present age of his son = 46 − 24 = 22 years .
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Which is true of dependent events?
ANSWER CHOICES:
The probability of all dependent events can be calculated using the OR formula P(A+B) =P(A) +P(B)-P(A and B) .
You can use a two-way frequency table to calculate the conditional probability of events that are dependent.
You can find the AND probability of dependent events using the formula P(A or B)= P(A) times P(B) .
The outcome of one event has no effect on the outcome of a second event.
Probability helps us to know the chances of an event occurring. The correct option is A.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Dependent events are those events in which the outcome of the first event affects the outcome of the second event. The statement that is correct about the dependent event is that the probability of all dependent events can be calculated using the "OR" formula P(A+B) =P(A) +P(B)-P(A and B).
Hence, the correct option is A.
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Select the correct answer from each drop-down menu.
Are these lines perpendicular, parallel, or neither based off their slopes?
6x - 2y = -2
y = 3x + 12
The __ of the slope is __ so the lines are __ .
From the slope, it is possible to classify the lines as parallel.
Linear FunctionA line can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
The lines are classified as parallel when they have the same slope. You will have perpendicular lines when one line is the negative reciprocal of the second line. If the lines intersect, none of the previous conditions presented are met.
The given equations are:
6x-2y=-2 (1)
y=3x+12 (2)
First, you should write the equation 1 in the standard form.
-2y=-6x-2
-y=-3x-1
y=3x+1
Therefore, the slope for equation 1 is m=3.
After that, you should indicate the slope for equation 2. Thus, m also is 3.
As, both equations present the same slope (m=3). The lines are parallel.
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Answer: The Product(?) of their slopes is 3, so the lines are parallel
Step-by-step explanation:
summary of what the other person said
A single card is drawn from each of two decks of 52 cards. What is the probability of getting a heart from the first deck and then a diamond on the second deck?
The probability of getting a heart from the first deck and then a diamond on the second deck will be 6.25%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The probability of getting a heart from the first deck = 13/52.
And the probability of getting a diamond from the second deck = 13/52.
So, The probability of getting a heart from the first deck and then a diamond on the second deck will be,
Probability = (13/52) × (13/52) = 0.0625 = 6.25%
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Three fourths of X added to twice of X is more than eleven
Which expression is equivalent to (r^-7)^6?
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{1}{r^4^2}[/tex] (option B)
Step-by-step explanation:
[tex]\left(a^b\right)^c=a^{bc},[/tex]
So, we need to first multiple -7 × 6 (= -42)
our new value is [tex]r^{-42\\}[/tex]
[tex]\:a^{-b}=\frac{1}{a^b}[/tex]
So, we simplify [tex]r^{-42\\}[/tex] to [tex]\frac{1}{r^4^2}[/tex]
Find the value of c that makes the expression a perfect square trinomial. x2 + 9 4 x + c
A) 9/16
B) 9/64
C) 81/16
D) 81/64
The value of c is 81/64 for the expression a perfect square trinomial.
What is an Expression?An expression can be defined as a mathematical statement that consists of variables, constants and mathematical operators simultaneously.
It is given that an expression
x² +9/4x +c is a perfect square polynomial
c =?
(a+b)² = a² +2ab+b²
2ab = 9/4
b = 9/8
c = b² = 81/64
Therefore the value of c is 81/64 for the expression a perfect square trinomial.
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Use the imaginary number i to rewrite the expression below as a complex number. Simplify
all radicals.
-√√-96
Submit
Work it out
Step-by-step explanation:
Revin imediat...... ✨.
528 a weekend.
10% of 480 is 48
480 + 48 = 528
Answer:
ffhjjrhjzxuzdjzdjzsjezjdifi
Please answer these questions!!!!
Answer:
BEC = C. 50
BCD = A. 120
Step-by-step explanation:
BEC
65 + 65 = 130
180 - 130 = 50
BCD = 180 - 60 = 120
BEC is 50
find the indicated side of the right triangle
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 3\sqrt3 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \tan(60) = \cfrac{x}{3} [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{3} = \dfrac{x}{3} [/tex]
[tex]\qquad \tt \rightarrow \: x = 3 \sqrt{3} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Dr. Hick writes an order for Amoxicillian 300 mg by mouth daily. Pharmacy dispenses 200 mg/2 mL. How many mL per dose?
a. 4
b. 3
c. 2
d. 1
Answer:
b
Step-by-step explanation:
2 ml/200 mg so divide and you get 1 ml per 100 mg then multiply that my 3 to get 3ml/300 mg therefore the answer is b
Answer:
b. 3 ml
Step-by-step explanation:
300 mg / 200 mg/ 2 ml = 300 * 2 / 200 ml = 3 ml
How to 24-[5408÷48{×41+701]-240}-240÷16
do in oder of pemdas....
If y = 2x-3, then which of the following ordered pairs lies on the graph?
O (-3,0)
O (1,-1)
O (5,4)
Plug in the points and see if they satisfy the equation.
y = 2x - 3
(1, -1)
-1 = 2(1) - 3
-1 = 2 - 3
-1 = -1
So (1, -1) satisfies the equation.
(-3, 0)
0 = 2(-3) - 3
0 = -6 - 3
0 = -9
So (-3, 0) does not satisfy the equation.
(5, 4)
4 = 2(5) - 3
4 = 10 - 3
4 = 7
So (5, 4) does not satisfy the equation.
Therefore your answer is (1, -1).
Answer:
the answer is 5,4
The number of cars at a car dealership is reduced by 10% in the first sales quarter of the year. If the number of cars decreased an additional 20% over the second sales quarter of the year, then by what percent did the number of cars decrease over the two sales quarters? A) 25% B) 28% C) 30% D) 45%
Answer:
B) 28%=================
Let the initial price be x.
After the first sales quarter the price is reduced by 10% and became:
x - 10% = x - 0.1x = 0.9xAfter the second sales quarter the price is reduced by 20% and became:
0.9x - 20% = 0.9x - 0.2*0.9x = 0.9x - 0.18x = 0.72xThe decrease over the two quarters is:
x - 0.72x = 0.28xThis is equivalent of 28%, hence the correct answer choice is B.
Which of the following is a requirement for multiple regression?
3.
Categorical variables only
O b. A small sample size
O c. Obiective measures only
O d. Absence of multicollineerity between variables
0 e.
Subjective measures onlv
Answer:
insectistics a category variable also called various validity variable is a variable that can take on a limited as usually fixed number two possible values assigning each into visual or other unit of the vision 2 a particular group aur nominacle category of the basis some qualitative
how much would $500 invested at 3% interest compounded continuously be worth after 6 years? Round your answer to the nearest cent. Use 2.718 for e. A(t)=Pe^(rt)
You are given the equation
A(t) = P*e^(rt)
Where P = Principal
r = interest rate
t = time
e is a mathematical constant equivalent to approx 2.71828
You're told the initial Principal is $500, the interest rate is 3%, over 6 years. So you have everything that you need to solve the problem, just plug in the values and solve for A(6)
A(t) = P*e^(rt)
A(6) = 500 * e^(0.03 * 6)
A(6) = 500 * e^(0.18)
A(6) = 500 * 2.71828^(0.18)
A(6) = 500 * 1.19721
A(6) = 598.60861
So $500 invested 6 years ago at 3% would be worth $598.61 today.
Solve for n in the inequality 3|n − 1] > 9. (If this is an "and" inequality, give your answer as a single compound inequality. If this is an "or" inequality, separate your answers using a comma.) Solve for n in the inequality 3 | n − 1 ] > 9. ( If this is an " and " inequality , give your answer as a single compound inequality . If this is an " or " inequality , separate your answers using a comma . )
Answer:
3,n-1>9
3>n2+9
3>n11 is ans
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PLEASE LOOK AT PICTURE
What are the foci of this ellipse?
ANSWER CHOICES: are in picture
A rake is priced at $28.49. Tax is $1.85. What is
the total cost of the rake?
Use the sequence 1, 5, 9, 11, 13, ...
Find the 150th term of the sequence.
Answer: 597
Step-by-step explanation:
The common difference is 5-1=4, so the explicit formula is [tex]a_{n}=1+(n-1)(4)[/tex]
Substituting in n=150,
[tex]a_{150}=1+(150-1)(4)=\boxed{597}[/tex]
