Answer:
no
Step-by-step explanation:
no no no no no no no no no no no no no no no no no no no
In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was 43.76 with standard deviation 2.67. The weekly amounts are approximately bell-shaped. (c) Between what two values will approximately 95% of the amounts be?
Answer:
Between 38.42 and 49.1.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 43.76, standard deviation of 2.67.
Between what two values will approximately 95% of the amounts be?
By the Empirical Rule, within 2 standard deviations of the mean. So
43.76 - 2*2.67 = 38.42
43.76 + 2*2.67 = 49.1
Between 38.42 and 49.1.
A tank contains 1000L1000L of brine with 20kg20kg of dissolved salt. Pure water enters the tank at a rate of 15L/min.15L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. Answer the following questions. 1. How much salt is in the tank after tt minutes
Answer:
there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.
Step-by-step explanation:
Given the data in the question;
tank contains 1000L of brine with 20kg of dissolved salt, Pure water enters the tank at a rate of 15L/min.
How much salt is in the tank after t minutes.
Now,
let x represent the amount of salt after t minutes,
so
x(0) = 15
dx/dt = rate in - rate out
Now, since the water entering is pure, the rate in is 0
rate out will be; x/1000 × 10 kg
∴
dx/dt = -x/100
[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]dt
∫[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]∫1dt + c
lnx = -[tex]\frac{t}{100}[/tex] + c
Now since x(0) = 15
ln15 = c
lnx = -[tex]\frac{t}{100}[/tex] + ln15
x = [tex]e^{ \frac{-t}{100} + ln15[/tex]
x = 15[tex]e^{ \frac{-t}{100}[/tex]
Therefore, there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.
formula to find the lateral area of a right cone
Answer:
This is the formula to find a lateral area of a right cone
A=1/2bh
Or A=1/2lw
Find the value of x.
60° 130°
The value of x is type your answer...
Answer:
x = 170
Step-by-step explanation:
In order to solve this, we need to know that there is 360° in a full circle. Knowing this, we can make the following equation from the diagram provided...
60° + 130° + x° = 360
x° = 360° - 60° - 130°
x° = 170°
x = 170
The number of employees for a certain company has been decreasing each year by 7%. If the company currently has 510 employees and this rate continues, find the number of employees in 11 years.
Answer:
230
Step-by-step explanation:
a = 510(0.93)^t
a = 510(0.93)^11
a = 229.5528082951
Rounded
a ≈ 230
Use the distributive property to remove the parenthesis: (m + 2) 3.
Answer:
Step-by-step explanation:
(m+2)3
m*3+2*3
3m+6
distributive property example:
a(b+c)
=a*b+a*c
=ab+ac
[tex]3 \: m + 6[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using the distributive formula, [tex]\sf\purple{a\: ( \:b + c\: ) = \:a b + a c}[/tex], we have
[tex](m + 2) \: 3 \\ = m \times 3 \: + \: 2 \times 3 \\ = 3 \: m + 6[/tex]
Note:-
[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Work out the surface area of the cylinder. (Image attached)
Answer:
[tex]area = 2\pi {r}h \\ = 2 \times 3.14 \times 10 \times 22 \\ = 1382.3 \: {cm}^{2} [/tex]
Answer:
2010.62cm
Step-by-step explanation:
A =
[tex]2\pi \: rh + 2\pi {r}^{2} [/tex]
[tex] = 2\pi(10)(22) + 2\pi( {10}^{2} )[/tex]
= 1382.30 + 628.32
=2010.62
Find the unknown side length, x. Write your answer in simplest radical form.
A. 15
B. 5 square root of 10
C. 2 square root of 70
D. 4 square root of 37
Answer:
C .2 square root of 70 skaskaskaska
Curtis used grapes, strawberries, and apples in a fruit salad. Use the cluster below to find the amount of each fruit used.
Use Newton''s method to find the second and third approximation of a root of x^3 + x + 3= 0 starting with x1 = -1 as the initial approximation.
The second approximation is x2= ?
The third approximation is x3= ?
9514 1404 393
Answer:
see attachment
Step-by-step explanation:
The iterator for Newton's method gives the next approximation (x') as ...
x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)
We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).
__
Additional comment
Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y= -2/5x-6
Step-by-step explanation:
y int is at -6
rise/run= -2/5
A little boy stands on a carousel and rotates around the ride 4 times. If the distance between the Little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel?
help please !!!!!!!!!!!!!!!
9514 1404 393
Answer:
yes
Step-by-step explanation:
The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.
We also have XS ≅ TP. By the addition property of equality, this means ...
XS +ST ≅ ST +TP
By the segment sum theorem, this means ...
XT ≅ SP
XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.
AABC is similar to ADEF.
Find x.
perimeter of triangle DEF= 60
SOMEBODY HELP ME ASAP
Answer:
B. 3x = 90
Step-by-step explanation:
m<QPS + m<RPS = m<QPR
Let m<RPS = x
Then m<QPS = 2x
2x + x = 90
3x = 90
Answer: B. 3x = 90
Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
An underwriter is analyzing the heights of his clients. He categorizes 35% as tall, 40% as medium height, and 25% as short. He then randomly picks two clients (from his very large client base). What is the probability that neither is tall and at most one is medium height
Answer:
0.2625 = 26.25% probability that neither is tall and at most one is medium height.
Step-by-step explanation:
Desired outcomes:
Short - Short
Short - Medium
Medium - Short
Probability of two short:
25% are short, so:
[tex]P(A) = (0.25)^2 = 0.0625[/tex]
Probability of short medium or medium short
25% short, 40% medium. So
[tex]P(B) = 2*0.25*0.4 = 0.2[/tex]
What is the probability that neither is tall and at most one is medium height?
[tex]P = P(A) + P(B) = 0.0625 + 0.2 = 0.2625[/tex]
0.2625 = 26.25% probability that neither is tall and at most one is medium height.
Find the amount to administer
Ordered: Vistaril 0.4 g PO BID
On Hand: Vistaril 25 mg/5 mL
Answer:
3mg per BID vistrail
Step-by-step explanation:
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
in which diagram are <1 and <2 supplementary? I'm not sure if its d.
Answer:
D
Step-by-step explanation:
Measure of 1 and Measure of 2 will add up to 180 degrees
Answer:
D
Step-by-step explanation:
Supplementary means they add to 180,
In D they form a straight line which is 180 degrees
a) How does the distance traveled and time elapsed compare for Carrie and Kevin as they traveled from mile marker 225 to mile marker 230?
Answer:
They travelled the same distance and they spent the same amount of time from the 225 marker to 230 marker.
Step-by-step explanation:
Given
See attachment for graph
Required
The relationship between distance and time travelled by Kevin and Carrie
The straight line represents Kevin's journey while the curve represents Carrie's
From the graph, we can see that the straight line and the curve both start at the origin (0,0) and they both end at the same point (17,5)
Point (17, 5) represents the 230 marker (i.e. 225 + 5 - 230)
Since the line and the curve meet at this point, then they travelled the same distance and they spent the same amount of time.
find the value of x easy math question #3 please help
Answer: x =8
Step-by-step explanation:
-12 + 9x = 60 (the other angles are 60, 180 - (60 + 60) = 60)
9x = 72
x = 8
Answer:
x = 8°
Step-by-step explanation:
We know that sum of interior angles of a triangle is 180°, therefore;
(Angle 1) + (Angle 2) + (Angle 3) = 180°
(60)° + (60)° + (-12 + 9x)° = 180°
120° + (-12 + 9x) = 180°
108° + 9x° = 180°
9x = 180 - 108
9x = 72°
x = 72/9
x = 8°
Therefore the value of x is 8°.
Hope this helps!
joe has read 30 % of a book. He has 63 more pages to finish. How many pages are there in the book?
Answer:
90 pages
Step-by-step explanation:
30% complete
70% to go = 63 pages
t = total number of pages
0.7t = 63
∴ t = ⁶³/₀.₇
⁶³/₀.₇ = 90
Solve for x. Show your work.
-1/2x < -12x
Answer: x > 24
Step-by-step explanation: -12x/-1/2x = 24. 24 is the given when dividing. The sign is flipped after dividing negatives.
Answer:
x < 0
Step-by-step explanation:
it's the same thing just with that slash( / ).........
If two pencils cost $1.50 how many pencils can you buy with $9.00?
Answer:
12 PENCILS
Step-by-step explanation:
1.50 / 2 = .75
9.00/0.75 = 12
A car covers a distance of 66.7 km in 1 litre of petrol .How much distance will it cover in 10 litre of
petrol ?
Answer:
666.7
Step-by-step explanation:
66.7*10=666.7
the reason its not 667 is beacuse of the repeateing rule like 1/3 is .33333
and 2/3 is .66667 the reason there is a 7 at the end is becuse you round up so i doesn't run on forever
Answer:
667 km
Step-by-step explanation:
66.7 km / 1 liter
Y = 66.7x
X = Liters of Petrol
Y = Total KM Traveled
Y = 66.7 (10)
Y = 667km
If the area of a circle is 154cm2 what is the radius of that circle
Answer:
7
Step-by-step explanation:
If you use the pi button:
the radius is 7
154cm² ÷ pi = 49
Square root of 49 = 7
An experiment to investigate the survival time in hours of an electronic component consists of placing the parts in a test cell and running them under elevated temperature conditions. Six samples were tested with the following resulting failure times (in hours): 34, 40, 46, 49, 61, 64. (a)Calculate the sample mean and sample standard deviation of the failure time.
Answer:
The sample mean of failure time was of 49 hours.
The standard deviation of the failure time was of 11.7 hours.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]\overline{x} = \frac{34+40+46+49+61+64}{6} = 49[/tex]
The sample mean of failure time was of 49 hours.
Standard deviation:
Square root of the division between the sum of the differences squared betweene each value and the mean, divided by the sample size subtracted by 1. So
[tex]s = \sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7[/tex]
The standard deviation of the failure time was of 11.7 hours.
5/9 (t +3) =40
PLSSS HELP MEEE
Answer:
Step-by-step explanation:
Ok so T = 69
what is –6,486 ÷ –69 =
Answer:
94
Step-by-step explanation:
Answer:
The answer is 94.
Step-by-step explanation:
The answer is positive because a negative divided by a negative equals a positive.