Answer:
The probability of a pill having more than 24.125 mg active substance is 0.0495.
Step-by-step explanation:
Let X denote the amount of active substance in each pill.
It is provided that,[tex]X\sim N(20,\ 2.5^{2})[/tex]
Compute the probability of a pill having more than 24.125 mg active substance as follows:
[tex]P(X>24.125)=P(\frac{X-\mu}{\sigma}>\frac{24.125-20}{2.5})[/tex]
[tex]=P(Z>1.65)\\\\=1-P(Z<1.65)\\\\=1-0.95053\\\\=0.04947\\\\\approx 0.0495[/tex]
Thus, the probability of a pill having more than 24.125 mg active substance is 0.0495.
6. Ricky earns $100.95 for working at the bakery. If he earns $14.55 per hour. How many hours
does Ricky work?
Answer:
6-7 hours (6.9 hours so almost 7 hours)
Step-by-step explanation:
$100.95 ÷ $14.55 = 6.9 hours ( rounded the real answer is: 6.93814433 )
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
HELPPPP OMG IF I FAIL IMA DIEEEE PLEASE I ALREADY HAVE AN E
Answer:
the answer is 120 because 1500/ 2% or 0.02 = 30 and multiply by 4 equals 120
Step-by-step explanation:
hope this helps :l
) Í think of a number. If I multiply it by 5 and divide by 8 I get my answer 10. Form an equation and work out what number was I thinking off.
Answer:
Step-by-step explanation:
reverse solve it.
10*8=80
80/5=16
Answer:
Step-by-step explanation:
5x/8 = 10
multiply both sides by 8
5x = 80
divide both sides by 5
x = 16
what is the slope of the line?
Answer:
its 1
Step-by-step explanation:
for every time x increases by 1, y also increases by 1
i need help please answer asap
Answer:
48 sq
Step-by-step explanation:
Complete the table. Adults Children
8 1
16 2
24 A
B 4
Which is the same function as -3x + 7 = y?
A) f(x) = -3x + 7
B) f(-3x) = 7
C) f(7) = -3x
D) f(x) = -3 + 7
The solution is: A) f(x) = -3x + 7 is the same function as -3x + 7 = y.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is: -3x + 7 = y
now, we have to find the same function as -3x + 7 = y.
now, let, the function is represented by f(x)
so, we have,
y = f(x)
so, we get,
f(x) = y = -3x + 7
we get,
f(x) = -3x + 7
so, f(x) = -3x + 7 is the same function as -3x + 7 = y.
Hence, A) f(x) = -3x + 7 is the same function as -3x + 7 = y.
To learn more on function click:
brainly.com/question/21145944
#SPJ3
x/4 - 1/2 (6-x)=7x+3 (6-2x)-1
Cindy is getting a bonus at work for her high commissions. Her bonus amount is 110% more than what she got last year. How much did she get last year if she received 5500 this year?
Answer:
The answer should be $5,000
Step-by-step explanation:
List five different math vocabulary words that could be used to describe the
given expression.
3(d − 2) + 10
Answer:
Distributive property is one of them
Step-by-step explanation:
I need help for this question plsss
Answer:
-5
Step-by-step explanation:
Plot both lines and then take the y-value from the point where they intersect.
HTH :)
PLEASEEEEE HELP!!!! 15 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!
Answer:
I would think the set answer
A ball is launched upward at 14 m/s from a platform 30 m high.Find the maximum height the ball will reach and how long it will take.
Answer:
The ball will reach a maximum height of 39.993 meters after 1.428 seconds.
Step-by-step explanation:
Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:
[tex]K_{1}+U_{g,1} = K_{2}+U_{g,2}[/tex] (1)
Where:
[tex]K_{1}[/tex], [tex]K_{2}[/tex] - Initial and final translational kinetic energies, measured in joules.
[tex]U_{g,1}[/tex], [tex]U_{g,2}[/tex] - Initial and final gravitational potential energies, measured in joules.
By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:
[tex]\frac{1}{2}\cdot m\cdot v_{2}^{2}+m\cdot g\cdot y_{2}= \frac{1}{2}\cdot m\cdot v_{1}^{2}+m\cdot g\cdot y_{1}[/tex] (2)
Where:
[tex]m[/tex] - Mass of the ball, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]v_{1}[/tex], [tex]v_{2}[/tex] - Initial and final speed of the ball, measured in meters per second.
[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final heights of the ball, measured in meters.
The final height of the ball is determined by the following formula:
[tex]v_{2}^{2}+2\cdot g\cdot y_{2} = v_{1}^{2}+2\cdot g\cdot y_{1}[/tex]
[tex]v_{1}^{2}-v_{2}^{2}+2\cdot g \cdot y_{1}=2\cdot g\cdot y_{2}[/tex]
[tex]y_{2} = y_{1}+\frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g}[/tex] (3)
If we know that [tex]y_{1} = 30\,m[/tex], [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], the maximum height that the ball will reach is:
[tex]y_{2} = 30\,m + \frac{\left(14\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)}[/tex]
[tex]y_{2} = 39.993\,m[/tex]
The ball will reach a maximum height of 39.993 meters.
Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:
[tex]t = \frac{v_{2}-v_{1}}{-g}[/tex] (4)
If we know that [tex]v_{1} = 14\,\frac{m}{s}[/tex], [tex]v_{2} = 0\,\frac{m}{s}[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then:
[tex]t = \frac{0\,\frac{m}{s}-14\,\frac{m}{s} }{-9.807\,\frac{m}{s^{2}} }[/tex]
[tex]t = 1.428\,s[/tex]
The ball will take 1.428 seconds to reach its maximum height.
4 ÷ 4/3? ------------------------------------------------------
Answer:
3
Step-by-step explanation:
Use KCF method
Keep the first number, Change division to multiplication and flip the second number.
4 ÷ [tex]\frac{4}{3} = 4 * \frac{3}{4} = 1 * 3 = 3[/tex]
6x + 9 = -12. What is the value of x?
(Six x plus nine, equals negative twelve)
Answer:
The answer is x=-7/2
Step-by-step explanation:
hope this helps
6x + 9 = -12
6x+9-9=-12-9
6x=-21
To find the x divide both side by 6.
6x/6=-21/6
x= -7/2
the answer to this question is = (- 7/2)
The temperture was -10 Fahrenheit and dropped by 16 Fahrenheit. which statement represnts the resulting temperture in degrees fahrenheit?
Please answer i need it
Answer:
4 and 7
Step-by-step explanation:
4 for 16
7 for 49
the student council at seaside highschool is making t-shirts to sell for a fundraiser at a price of 13 dollars a piece the cost meanwhile are 9 dollars per shirt plus a setup fee of 92 dollars selling a certain amount of shirts will allow the student council to cover the cost how many shirts must be sold 23 207 299 or 13
Answer:
299
Step-by-step explanation:
A painter mixed 7 ounces of blue paint with every 11 ounces of yellow paint in order to make a green paint.
Problem:
Which ratio of ounces of blue paint to yellow paint will make the same shade of green paint?
Answer: 49:77
Step-by-step explanation:
Tina can grow 2 plants with every seed packet. How many seed packets does Tina need to
have a total of 14 plants in her backyard?
Answer:
7 is the answer
Step-by-step explanation:
2x7=14
Answer:
7
Step-by-step explanation:
14/2 is 7. Every packet is 2 plants. So in order to find the amount of packets, you just needed to divide the amount of seeds per packet from the total she wanted
The intersection of a triangle and a line could be a segment
True or False
false
vdvfvfddfvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Ahmed had 250 story books, he donated 1/2 of them to a library. He then distributed 1/5 of the rest of the story books among his friends. How many books are left with ahmed
Answer:
100
Step-by-step explanation:
250 divided by 2 =125 multiplied by .20 to get 25 then minus 25 from 125 to get 125
3/14 divided by 7/10
Answer:
15/49
Step-by-step explanation:
3*10=30
14*7=98
30/98
15/49
Because of a heavy spring runoff, the shoreline of a lake increased from 10.0 miles to 13.8 miles. What was the percent of increase
in the shoreline?
Answer:
The percent of increase in the shoreline was 38%.
Step-by-step explanation:
Given that the shoreline increased from 10 miles to 13.8 miles because of the spring runoff, to determine the percentage by which the shoreline increased, the following calculation must be performed:
10 = 100
13.8 = X
((13.8 x 100) / 10) = X
(1,380 / 10) = X
138 = X
Thus, since 138 - 100 is equal to 38, the percentage by which the shoreline increased was 38%.
14 of 14
A1 Math gr7 20-21 Form D Online
Full Screen
Screen
Kenwyn is making flower arrangements for an event. The table shows the number of flower arrangements, f, she can make in m minutes.
Answer:
B
Step-by-step explanation:
PLEASE HELP OR MY MOM IS SENDING ME TO MY ABUSIVE DAD
Answer:
yes that is correct and how and why does he be abusive to you.
Step-by-step explanation:
Answer:
The answer is b.
Step-by-step explanation:
y=kx means that k=y/x, not x/y. so it is 28/3...
Help I don't understand I would be very grateful
Answer: C. 1 1/3
Step-by-step explanation:
Slope is calculated by the change in y/the change in x.
Plug values from the table into the equation:
(19-15)/(4-1)
Evaluate and Simplify:
4/3 -> 1 1/3
4. See if you can find "like-terms" in the expression and
simplify it.
4- 2x + x^2 -+ 5x + 12 + 2x^2
ny of
Answer:
After finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]
Step-by-step explanation:
We need to find like terms and simplify the expression [tex]4- 2x + x^2 + 5x + 12 + 2x^2[/tex]
Like terms: The terms who have same variable and exponent are called like terms.
So, Combining like terms and solving:
[tex]4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16[/tex]
So, after finding like terms and solving, we get [tex]\mathbf{3x^2+3x+16}[/tex]
Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2
I have solved using +5x, but if the term is -5x then the solution will be:
[tex]4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16[/tex]
So, the answer will be: [tex]\mathbf{3x^2-7x+16}[/tex]
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x). How did the transformation affect the domain and range of the function?
You can use tables, graphs, or equations to justify your answer.
The two graphs are represented below.
Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.
There are 3 ways to change a function:
Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;Now, the points for f(x) are:
(-5,0) (0,6) (5,-4) (8,0)
And the points for g(x) are:
(-5,-3) (0,-9) (5,1) (8,-3)
Comparing points:
(-5,0) → (-5,-3)
(0,6) → (0,-9)
(5,-4) → (5,1)
(8,0) → (8,-3)
It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:
(-5,0-3) → (-5,-3)
(0,6-15) → (0,-9)
(5,-4+5) → (5,1)
(8,0-3) → (8,-3)
Then, the vertical change is a Vertical Shift.
Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.
Range of a function is all the values y can assume after substituting the x-values.
Domain of a function is all the values x can assume.
Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.
Any vertical translation will change the range of a function and keep domain intact.
Then, for f(x) and g(x):
graph translation domain range
f(x) none [-5,8] [-4,6]
g(x) vertical shift [-5,8] [-9,1]
In conclusion, this transformation (or translation) will affect the range of g(x)
(Ill give BRAINLIEST and extra POINTS!!!)
Solve 9,396 ÷ 18 = __________ Using partial quotients.
Draw it out.
(Pls draw it out. Dont give me the answer by just saying "311" or "299". I want u to draw it out and then write the answer in the drawing :) )
Answer:522
522x18= so 522x8=4176 522x1=522 add those up and get 4176+522=4698
Step-by-step explanation:
