Answer:
Not complete, please recheck the question
It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that exactly 3 drive to work alone
Answer: Step-by-step explanation:X= number of driver that drive to work alone the probability that at most 7 drove to work alone is equal to 1 - probability that exactly 8 drive to work alone P(x<=7)= 1 - P(x>7) = 1- P(x=8) Probability of driving to work alone = 0.77 Probability of not driving to work alone = 0.23Total number of workers = 8
Step-by-step explanation:
The required probability that exactly 3 out of 8 workers drive to work alone is 0.0165.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have to find the probability that exactly 3 of the workers drive to work alone.
Using the binomial probability formula:
[tex]P(X = k) = (^nC_k) \times p^k \times (1-p)^{(n-k)}[/tex]
where X is the number of workers who drive to work alone, k is the number of successes, n is the sample size, p is the probability of success, and (n choose k) is the binomial coefficient.
As per the question, k = 3, n = 8, p = 0.77
Substitute the given values, and we get:
[tex]P(X = 3) = (^8 C_3) \times 0.77^3 \times (1-0.77)^{(8-3)}[/tex]
= 0.0165
Therefore, the probability that exactly 3 out of 8 workers drive to work alone is 0.0165.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Is this right please tell me
Please Help - Easy Question Algebra 2.
Answer:
The function is exponential
Its equation is [tex]y = \frac{7}{3} \cdot(\frac{1}{3} )^x[/tex]
Step-by-step explanation:
We can see that, as x increases by a constant y increases by a factor of [tex]\frac{1}{3}[/tex]
So the table represents an exponential equation
The form of the equation is [tex]a\cdot(\frac{1}{3})^{x}[/tex]
All we have to do is determine a
Take the entry for x = 0
At x = 0, the equation becomes y = [tex]a\cdot(\frac{1}{3}) ^ 0[/tex]
Any number raised to the power 0 is 1
So at [tex]x = 0, y = a\cdot1 = a[/tex]
But we know the y value at x = 0 is [tex]\frac{7}{3}[/tex]
So [tex]a = \frac{7}{3}[/tex]
The equation of the function is
[tex]y = \frac{7}{3} \cdot(\frac{1}{3} )^x[/tex]
We can verify by plugging in a few values for x into the above equation and seeing if the corresponding calculated values concur with the one in the table
For [tex]x = - 1, y = \frac{7}{3}\cdot (\frac{1}{3})^{-1} = \frac{7}{3}\cdot 3 = 7[/tex]
You can try the other x values and see that computed and given y values concur
Evaluate: 4+8÷2× (6-3)
Answer:
12/6 but if you simplify it's 2
Step-by-step explanation:
4+8 = 12
6-3 = 3
2 x 3 = 6
12/6 = 2
An employee of the department store receives 10% off all purchases. The employee purchases a shirt for $46.99. Determine the cost of this purchase.
The cost of purchase of the employee for a shirt worth $46.99 is $42.30 .
In the question , It is given that
amount of discount employee receives = 10%
Price of the shirt = $46.99 ...(i)
amount of discount the employee got for the shirt = 10% of 46.99
= 0.10*46.99 ...(as 10%=0.10 )
= 4.699 ...(ii)
So the amount of discount the employee got for the shirt = $4.699
The cost of purchase = Price of shirt - discount
Substituting the values from equation (i) and equation (ii) we get,
cost of purchase = 46.99 - 4.699
= 42.291
≅ 42.30
Therefore , the cost of purchase of the employee for a shirt worth $46.99 is $42.30 .
Learn more about Discount here
https://brainly.com/question/13887247
#SPJ1
A company packages bottles of olive oil in cylindrical cardboard tubes completely wrapped with paper. If each tube has a diameter of 3 inches and is 11 inches tall, approximately how
many square inches of paper is needed to wrap each tube? (Use 3.14 to approximate w.)
O 78
O
104
118
160
Answer:
118
Step-by-step explanation:
We need to calculate the surface square of the cylinder. The formula for that is S=2*pi*r*(r+h). r is radius of the cylinder which is diameter/2=3/2=1.5. The formula becomes: S=2*pi*1.5(1.5+11)=37.5pi=~117.5 which is approximated to 118 since if the decimal you're approximating is 5 or higher it just increments the previous one, so here we just add 1 to 117
mathematics help pls lol
2.45
add the 2 numbers and divide by 2
Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. How many loads of laundry can Joe do with this one box? The box of detergent cost $19.99. How much is he paying for each load of laundry that he washes? The question we are answering is: How much is he paying for each load of laundry that he washes? Round to the nearest cent. 0.25, 0.26, 0.30
Answer:
a) Number of laundries he can do with this box = 78 laundries.
b) Price he paying for each load = 0.26 $
Step-by-step explanation:
An urn contains five balls labelled A, B, C, D, E. You draw three balls at random, without replacement. How many different combinations of three letters can you draw? Combination means that order of draw is not important. Example: ACE and CAE are counted as the same combination, but ABD, ABE, CDE, etc are different combinations.
Using the combination formula, it is found that you can draw 10 different combinations of three letters.
The order in which the letters are drawn is not important, as stated in the problem, ACE and CAE are counted as the same combination, hence the combination formula is used instead of the permutation formula.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For this problem, three balls are taken from a urn with five balls(labeled A, B, C, D and E), hence n = 5, x = 3 and:
[tex]C_{5,3} = \frac{5!}{3!2!} = 10[/tex]
You can draw 10 different combinations of three letters.
More can be learned about the combination formula https://brainly.com/question/25821700
#SPJ1
estimate the cube root of 1100
Answer:
Step-by-step explanation:
∛1100
Answer:
10.324
Step-by-step explanation:
I doesn't have a perfect cube root
7x+5=6x I don’t get this because I have no idea what to subtract by, and I know the answer is -5 but I have no idea how to get there
Answer:
Step-by-step explanation:
7x + 5 = 6x Subtract 6x from both sides
7x - 6x +5 = 6x -6x
x + 5 = 0 Subtract 5 to both sides
x + 5 - 5 = 0 - 5
x = -5
5x6+12 order of operations
Answer: 5x6+12=42
Step-by-step explanation: Hope This Helps!!
Antonio made six withdrawals of $25 each from his bank account.what was the overall change in his account?
Answer: -$150
Step-by-step explanation:
withdrawal is removing funds from bank account.
withdrawals of $25 ==> -$25 change
-25*6=-$150
Multiple Choice Carlos read a book for language arts class.
He finished the book on Friday. On Monday he read 27 pages.
On Tuesday he read 31 pages. On Wednesday he read 28 pages.
On Thursday and Friday he read the same number of pages each day.
The book has 144 pages. How many pages did he read on Thursday?
A. 28
B. 29
C. 31
D. 58
Carlos read 29 pages on Thursday.
What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.
The equations will be: 27 + 31 + 28 + x + x = 144Now, solve the equation fr x as follows:
27 + 31 + 28 + x + x = 14486 + 2x = 1442x = 144 - 862x = 58x = 58/2x = 29So, Carlos read 29 pages on Thursday and Friday.
Therefore, Carlos read 29 pages on Thursday.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
The top of a rectangular table has an area of 21 square feet. The width of the table is
3 feet. What is the length of the table?
The width of the table is 63 because 21 x 3 = 63
Question 3(Multiple Choice Worth 2 points) (Adding and Subtracting Linear Expressions MC) Write the following expression in simplest form. (3 + 16.4a) − (9 + 5.7a)
A 22.1a + (−12) B 1.07a + (−12) C 22.1a + (−6) D 10.7a + (−6)
Thea expression in simplest form is 10.7a + (−6) . Option D
What are algebraic expressions?Algebraic expressions are expressions that comprise of variables, terms, coefficients and constants.
They are also made up of certain mathematical operations.
Given the expression;
(3 + 16.4a) − (9 + 5.7a)
expand the bracket
3 + 16. 4a - 9 - 5. 7a
collect like terms
16. 4a - 5. 7a - 9 + 3
add or subtract like terms
10. 7a - 6
Thus, the expression in simplest form is 10.7a + (−6) . Option D
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
4x+12y+4z=-16
12x-12y+8z=8
4x+12y-4z=0
x = 1, y = -1 and z = -2.
Here, we are given 3 equations-
4x+12y+4z = -16 ...(1)
12x-12y+8z = 8 ...(2)
4x+12y-4z = 0 ...(3)
Firstly, we add equations 1 and 2, we get,
4x + 12y + 4z + 12x - 12y + 8z = -16 + 8
16x + 12z = -8
4x + 3z = -2 ...(4)
Adding 2 and 3, we get,
12x - 12y + 8z + 4x + 12y - 4z = 8
16x + 4z = 8
4x + z = 2 ...(5)
Now, subtracting equation 4 from 5, we get-
4x + z - 4x - 3z = 2 + 2
-2z = 4
z = 4/-2
z = -2
Thus, 4x - 2 = 2
4x = 4
x = 4/4
x = 1
and 4(1) + 12y + 4(-2) = -16
4 + 12y -8 = -16
12y = -16 + 4
12y = -12
y = -12/12
y = -1
Thus, x = 1, y = -1 and z = -2.
Learn more about simultaneous equations here-
https://brainly.com/question/16863577
#SPJ9
Answer choices are:
K
P
J
M
Only pick one answer
A regular pentagon has a side length of 2x+9. A square has a side length of 3x
The possible solution for x can be 22.5.
We are given that the side of the regular pentagon = 2 x + 9
So, the perimeter will be:
P ( Regular pentagon) = 5 × ( 2 x + 9 )
P ( Regular pentagon) = 10 x + 45
Also, we are given that the side of a square is 3 x
Perimeter will be:
P ( square) = 4 × 3 x
P ( square) = 12 x
Now, we are given that P ( Regular pentagon) = P ( square)
So, we get that:
10 x + 45 = 12 x
12 x - 10 x = 45
2 x = 45
x = 45 / 2
x = 22.5
Therefore, the possible solution for x can be 22.5.
Learn more about perimeter here:
https://brainly.com/question/24571594
#SPJ9
Your question was incomplete. Please refer the content below:
A regular pentagon has a side length of 2x-9. A square has a side length of 3x. If both polygons have the same perimeter, what is a possible solution of x?
Santiago is planning to drive from City X to City Y. The scale drawing below
shows the distance between the two cities with a scale of 1 inch = 11 miles.
City X
- 1 1/2 in.
City Y
What is the actual distance between the two cities?
Answer:
16 1/2 miles
Step-by-step explanation:
If 1 inch = 11 miles and the distance between cities is 1 1/2 inches, then we can solve by multiplying [tex]1 \frac{1}{2} *11=16 \frac{1}{2}[/tex].
Hope this helps!
Point W is located at (7,3) on a coordinate plane. Point W is translated 2 units to the left
and 3 units up. What are the coordinates of the image point W?
Answer:
(5,6)
Step-by-step explanation:
subtract 7-2 and add 3+3.
I think it all equals 70. but cant get what it says to get
After the expansion of the series represented by -
∑ r(r + 1) [r = 0 to r = 5] , we can say that the -
1st term of series = 0
2nd term of series = 2
3rd term of series = 6
Last term = 30
What is a Sequence?A series is the sum of a few or all elements of the sequence in which the elements are arranged according to some specific pattern.
Given in the question is a series represented by -
∑ r(r + 1) [r = 0 to r = 5]
We can determine any term of this series by replacing it with r. The series given to us however only contains six terms. So, we will write the complete series in numeral form and then determine the terms.
We have -
∑ r(r + 1) [r = 0 to r = 5]
Expanding the series, we get -
∑ r(r + 1) [r = 0 to r = 5] = (0 x 1) + (1 x 2) + (2 x 3) + (3 x 4) + (4 x 5) + (5 x 6).
∑ r(r + 1) [r = 0 to r = 5] = 0 + 2 + 6 + 12 + 20 + 30.
Hence, the numeral form of the series with elements position is -
0 + 2 + 6 + 12 + 20 + 30.
[1] [2] [3] [4] [5] [6]
Therefore, after the expansion of the series represented by -
∑ r(r + 1) [r = 0 to r = 5] , we can say that the -
1st term of series = 0
2nd term of series = 2
3rd term of series = 6
Last term = 30
To solve more questions on Series, visit the link below-
https://brainly.com/question/9966646
#SPJ1
Does anyone know this answer??
which expression can be used to solve the equation 2x-1=x+2
The expression can be used to solve the equation 2x - 1 = x + 2 is 3 which is option (B) .
A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division.The terms involved in an expression in math are:Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.We have given an expression [tex]2x-1=x+2[/tex] .
On solving , we get
[tex]2x-x=2+1\\x=3[/tex]
Learn more about expression here :
https://brainly.com/question/723406
#SPJ9
The complete question is mention below :
Which expression can be used to solve the equation 2x-1=x+2 ?
A. 1
B.3
C.5
D.4
Please help what is a?
-3a + 10 < -11
Step-by-step explanation:
-3a + 10 < -11
-3a < -21
-a < -7
a > 7
remember, when multiplying with a negative number the inequality sign flips the direction.
ANSWER FAST
The table below shows Addison's novel collection on her bookshelf.
Type of Novel Number of Books
Nonfiction 2
Mystery 4
Fiction 5
What is the ratio of fiction novels to all novels?
11 to 5
2:5
5 over 11
5 to 2
Answer:
5 over 11
Step-by-step explanation:
add 5+4=9 then 9+2=11 so it would be 5/11
In Addison's novel collection on her bookshelf, the ratio of fiction novels to all novels is, 5/11. So Option C is correct
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Type of Novel Number of Books
Nonfiction 2
Mystery 4
Fiction 5
the ratio of fiction novels to all novels = number of fiction novels/all novels
= 5/11
Hence, the ratio is 5 over 11
To know more about Ratio check:
https://brainly.in/question/7996583
#SPJ2
What is the vertex of y=7|x-3|-4
Answer:
(3, 4)
Step-by-step explanation:
Answer:
sorry , i don't
know
Step-by-step explanation:
15(2x + 3) = 85 + 10x
Answer:
x = 2
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x15(2x + 3) = 85 + 10x30x + 45 = 85 + 10x 20x + 45 = 8520x = 40x = 2The value of x is 2.
Two negative consecutive integers have a sum of -45. What are the two integers?
Answer:
-23+-22=-45
Step-by-step explanation:
In this type of question if he wants the consequtive divided number over 2 and choose the result number and pervious or next one it is depend on the questions
Answer:
The two integers will be/ are - 23 and - 24
What is 10 x4 ten thousand
Answer:
400,000
Step-by-step explanation:
➟ 10 × 4 ten thousand
Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000
➟ 10 × 40,000
➟ 400,000