Answer:
The number of faces in 4 faced dice is 4 and in 6 faced dice is 6
therefore, Total possibilities for getting anything is 1/10
can anyone please help me solve this
Answer:
20+n=120
Step-by-step explanation:
I need help with this
Answer:
b
Step-by-step explanation:
b is the answer
the range is all real number
The average age of doctors in a certain hospital is 42.0 years old with a standard deviation of 10.0 years. If 16 doctors are chosen at random for a committee, find the probability that the mean age of those doctors is less than 43.50 years. Assume that the variable is normally distributed. Group of answer choices
There is a 65.54% probability that the average age of those doctors is under 48.8 years.
What is probability?Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.
It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.
The possibility of an event occurring increases as it gets higher.
True mean = mean (or average)+/- Z*SD/sqrt (sample population)
Then,
Mean (average) = 48.0 years
The true mean must be less than 48.8 years.
SD = 6.0 years, and
Sample size (n) = 9 doctors
Using Z as the formula's subject:
Z= (True mean - mean)/(SD/sqrt (n))
Inserting values:
Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4
From the table of normal distribution probabilities:
At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%
Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.
Know more about probability here:
https://brainly.com/question/24756209
#SPJ1
Complete question:
The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.
Select the correct function rule for the table.
Answer:
the answer is C
Step-by-step explanation:
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Solve each system of linear equations below, then check your work.
A. 3x−y=−11 −x+y=5
B -2y+3= 4x + 2 6x + 4y=1
C. 32y- x= -25 5x= 100 + x - 8Y
D. 2y + 3x = 6 4x + 5y +20 = 0
A. The solution of linear equation is (x, y) = (-3, 8).
B. The solution is (x, y) = (3/4, -1).
C. The solution is (x, y) = (-31/8, 3/8).
D. The solution is (x, y) = (55/7, -117/14).
A. 3x - y = -11 --- (1)
-x + y = 5 --- (2)
From equation (2), we can write y = x + 5, and substitute it in equation (1):
3x - (x + 5) = -11
2x = -6
x = -3
Substituting x in equation (2):
-y = -8
y = 8
Therefore, the solution of the system is (x, y) = (-3, 8).
To check the solution, we substitute the values of x and y in the original equations:
3(-3) - 8 = -11 (True)
-(-3) + 8 = 5 (True)
So, the solution is correct.
B. -2y + 3 = 4x + 2 --- (1)
6x + 4y = 1 --- (2)
From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):
6x + 4y = 1
6x - 4y = 8 (rearranging)
12x = 9
x = 3/4
Substituting x in equation (1):
-2y + 3 = 4(3/4) + 2
-2y + 3 = 5
-2y = 2
y = -1
Therefore, the solution of the system is (x, y) = (3/4, -1).
To check the solution, we substitute the values of x and y in the original equations:
-2(-1) + 3 = 4(3/4) + 2 (True)
6(3/4) + 4(-1) = 1 (True)
So, the solution is correct.
C. 32y - x = -25 --- (1)
5x = 100 + x - 8y --- (2)
From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):
32y - x = -25
32y - (100 - 8y) = -25
40y = 75
y = 3/8
Substituting y in equation (1):
32(3/8) - x = -25
x = -31/8.
Therefore, the solution of the system is (x, y) = (-31/8, 3/8).
To check the solution, we substitute the values of x and y in the original equations:
32(3/8) - (-31/8) = -25 (True)
5(-31/8) = 100 + (-31/8) - 8(3/8) (True)
So, the solution is correct.
D. To solve the system of equations:
2y + 3x = 6 --- (1)
4x + 5y + 20 = 0 --- (2)
We can rearrange equation (2) to isolate one of the variables:
4x + 5y = -20 (subtracting 20 from both sides)
5y = -4x - 20 (subtracting 4x from both sides)
y = (-4/5)x - 4 (dividing both sides by 5)
Substituting this value of y in equation (1):
2((-4/5)x - 4) + 3x = 6
(-8/5)x - 8 + 3x = 6
(-8/5)x + 3x = 14
(-8/5 + 3)x = 14
(-8/5 + 15/5)x = 14
(7/5)x = 14
x = 10
Substituting this value of x in the equation for y:
y = (-4/5)(10) - 4
y = -12.
Therefore, the solution of the system is (x, y) = (10, -12).
To check the solution, we substitute the values of x and y in the original equations:
2(-12) + 3(10) = 6 (True)
4(10) + 5(-12) + 20 = 0 (True)
So, the solution is correct.
For similar question on linear equations.
https://brainly.com/question/2030026
#SPJ11
Cooper weights 20 pounds. When he is an adult dog, he will weigh about 315% of his current weight. Write 315% as a fraction and a decimal.
Answer:
3.15 and 3 3/20
Step-by-step explanation:
315 ÷ 100 = 3.15
3.15 = 3 3/20
Please mark me brainlest
13
Use the drawing tools to form the correct answer on the graph.
Graph the composite function (f(x)).
f(x) = -2x- 5
g(x) =x - 1
Drawing Tools
Select
Point
Click on
The graph of the composition of functions is on the image at the end.
How to graph the composite function?Here we want to graph the composition of the functions g(x) and f(x), where:
f(x) = -2x - 5
g(x) = x - 1
The composition:
g(f(x)) will give:
g(f(x)) = f(x) - 1 = -2x - 5 - 1 = -2x - 6
So it is just a linear function, basically it is a translation of 1 unit down of f(X), the graph of this composition is on the image at the end.
Learn more about compositions at:
https://brainly.com/question/10687170
#SPJ1
Which of the following is a recurring home fee?
A. Points
B. Homeowners insurance
C. Processing
D. Appraisal
Answer:
B
Step-by-step explanation:
I think it is b bc insurance is often a reoccuring fee and homeowners insurance is a home fee.
Answer:
homeowners insurance
Step-by-step explanation:
you pay insurance monthly
You want to buy some rice. A 7-ounce package costs $2.59. A 16-ounce package costs $5.60. A 24-ounce package costs$9.36. Which package is the best buy?
Answer:
Thanks
Step-by-step explanation:
Thanks
Does a point have a location?
A point in geometry is a location.
It has no size, width, length or depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions.
Find the slope of the lined graph
The slope of the lined graph is 5 / 3
How to determine the slope
The formula for determining the slope of a line is expressed as;
Slope = y2 - y1/ x2 - x1
From the graph shown;
y1 = -1y2 = 4x2 = 3x1 = 0Now, let's substitute the values
Slope, m = 4 - (-1) / 3 - 0
Find the differences
Slope, m = 4 + 1/ 3
Slope, m = 5 / 3
Thus, the slope of the lined graph is 5 / 3
Learn more about slope here:
https://brainly.com/question/3493733
#SPJ1
S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
For 2021, Gourmet Kitchen Products reported $22 million of sales and $19 million of operating costs (including depreciation). The company has $14 million of total invested capital. Its after-tax cost of capital is 9% and its federal-plus-state income tax rate was 25%. What was the firm's economic value added (EVA), that is, how much value did management add to stockholders' wealth during 2021?
The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Net operating profit = (22 million - 19 million)*(1 - 0.36)
= $1.92 million
EVA = net operating profit after taxes - invested capital*WACC
= 1.92 million - 15 million*0.10
= $0.42 million
Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ9
Ron's Car Rental Company charges a set fee for renting a car and an additional amount per mile driven. Frank has rented from Ron's three times and his charges are shown in the table below. How much does Ron charge per mile driven?
Answer:
22 cents per mile
Step-by-step explanation:
to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.
Can anyone please help me answer the
PICTURE IS PROVIDED!
Answer:1 and 4
Step-by-step explanation:
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
what is proportional to 35/80
Al’s Produce Stand sells 6 tomatoes for $0.90. Barbara’s Produce stand sells 11 tomatoes for $1.54. Which produce stand has the better buy on tomatoes? Choose the best solution.
Answer:
Barbara's Produce Stand has the best buy on tomatoes
Step-by-step explanation:
Average Value
We need to determine which produce stand has the best buy on tomatoes. We'll calculate the average cost of each tomato in both stands and select the one that has the lowest cost.
Al's Produce Stand sells 6 tomatoes for $0.90, The average cost per tomato is $0.90/6=$0.15
Barbara's Produce Stand sells 11 tomatoes for $1.54. The average cost per tomato is $1.54/11=$0.14
Since the latter's cost is less than the first one, Barbara's Produce Stand has the best buy on tomatoes
Find the 11th term of the geometric sequence 1,4,16
The 11th term of the geometric sequence 1, 4, 16,... is 4¹⁰.
A sequence is a grouping of objects in a particular order that permits repetitions. It has members, just like a set does. The length of the sequence is determined by the number of items.
Consider the geometric sequences 1, 4, 16......
For a geometric sequence a, ar, ar²,.....
Where a is the first term, and r is the common ratio of the sequence.
Then for the sequence 1, 4, 16,...
a = 1 and r = 4
The nth term of a geometric sequence is given as:
aₙ = ar⁽ ⁿ ⁻ ¹⁾
Therefore, the 11th term of the sequence will be:
a₁₁ = 1 × r¹¹ ⁻ ¹
a₁₁ = (4)¹⁰
a₁₁ = 4¹⁰
Hence, the 11th term of the sequence is 4¹⁰.
Learn more about geometric sequence here:
https://brainly.com/question/28041360
#SPJ9
1000 centimeters=_______meters?
1000 Centimeters = 10 Meters
∝ Sidhdi
Please help quick!!! I need to turn this in soon
Answer:
A) NO and NM
Step-by-step explanation:
WHAT IS THE ANSWER NEED ASAP
Answer:
Either angle EDI or angle CDH
Step-by-step explanation:
Answer:
i did this last year in math but i think its angle EDI
Step-by-step explanation:
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 1 unit wide. 5 7
The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.
The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.
the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.
The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:
Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units
Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units
Now we can calculate the areas of the outer and inner rectangles:
Area of the outer rectangle = length * width = 5 * 7 = 35 square units
Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units
Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:
Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units
Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.
For more questions on Shaded region.
https://brainly.com/question/14989383
#SPJ8
Which equation shows a y- intercept of -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B) \(y=x-5\)
»»————- ★ ————-««
Here’s why:
Most options (Second, Third, and Fourth) are in slope intercept form.⸻⸻⸻⸻
\(\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}\)
⸻⸻⸻⸻
We are looking for the equation where '-5' is in b's place.⸻⸻⸻⸻
\(\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\\)
\(\text{y-intercept of 1.}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
or
Look at this diagram:
M
N
O
P
Q
R
S
T
If
NP
and
QS
are parallel lines and mNOM = 130°, what is mPOM?
If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.
What is parallel line?Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.
Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.
Since NP and QS are parallel lines, we have:
∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)
Also, the alternate interior angles NOM and POM are equal, so:
∠NOM = ∠POM
Substituting this into the first equation gives:
∠POM + ∠MOP = 180°
We can now solve for ∠POM by substituting the given value:
130° + ∠POM = 180°
∠POM = 50°
To know more about alternate interior angles visit:
https://brainly.com/question/24719494
#SPJ1
Solve the inequality 8y - 3(y - 2)< 2y + 4(2y + 4) write solution in interval notation
Answer: y>-2
Step-by-step explanation:
8y-3(y-2) < 2y+4(2y+4)
8y-3y+6 < 2y+8y+16
6-16<2y+8y-8y+3y
-10<5y
y>-2
Answer:
(−∞,−2)
Step-by-step explanation:
Start by simplifying each side as much as possible by distributing and combining like terms to get
8y−3(y−2)8y−3y+65y+6>2y+4(2y+4)>2y+8y+16>10y+16
Subtract 10y from both sides to collect the variables on the left, then subtract 6 from both sides to collect all the constants on the right.
5y+65y+6−10y−5y+6−5y+6−6−5y>10y+16>10y+16−10y>16>16−6>10
Divide each side by −5 to solve for y. Since −5<0, the inequality changes direction.
−5y−5y−5y>10<10−5<−2
In interval notation, we write this as (−∞,−2).
b is the midpoint of segment ac. a has coordinates (-3, 4) and b has coordinates (-1 1/2, 1). find the coordinates of c
The coordinates point C of the given line segment AC is C(0, -2) whose midpoint is at B.
How to calculate a midpoint of a line segment?To calculate the midpoint of a line segment, find the average for the coordinates of the endpoints of the line segment. I.e.,
Consider a line segment AC, B is its midpoint.
So, the coordinates of B are (Where we have A(x1, y1) and C(x2, y2))
B(x, y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)
Calculation:It is given that, B is the midpoint of a line segment AC.
Where A has coordinates as (-3, 4) and B has coordinates as (-1 1/2, 1).
So, the coordinates of the other end point C of the given line segment are calculated as
B(x, y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)
⇒ (-1.5, 1) = \((\frac{-3+x2}{2}, \frac{4+y2}{2})\)
⇒ -1.5 = (-3 + x2)/2 and 1 = (4 + y2)/2
⇒ -3 = -3 + x2 and 2 = 4 + y2
⇒ x2 = 0 and y2 = 2 - 4 = -2
Therefore, point C has coordinates as (0, -2).
Learn more about calculating the midpoint here:
https://brainly.com/question/5566419
#SPJ4
Share 1 km in the ratio 2:3
Help me please guys I really need it
Answer:
You have a standard deck of 52 cards You have 4 jacks in the standard card Hence 4/52