Answer:
she should charge $7.395 per ticket in order to make the most money.
Step-by-step explanation:
From the given information:
If Rosalie charges $5 then 1175 people will attend the circus performance
If Rosalie charges $7 then 935 people will attend the circus performance
Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;
(5, 1175) and (7, 935)
The slope(m) of this points = [tex]\dfrac{\Delta y}{\Delta x}[/tex]
= [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\dfrac{935-1175}{7-5}[/tex]
Slope (m) = [tex]\dfrac{-240}{2}[/tex]
Slope (m) = -120
However; we can now have the linear equation:
[tex]y-y_1 = m(x-x_1)[/tex]
[tex]y-1175= -120(x-5)[/tex]
[tex]y-1175= -120x+600[/tex]
[tex]y= -120x+600+1175[/tex]
[tex]y= -120x+1775[/tex]
The linear function is : y = -120x + 1775
Now; the total amount of money she can now earn is:
f(x) = xy
f(x) = x(-120x + 1775)
f(x) = -120x² + 1775x
The above expression is a quadratic equation; Using the quadratic formula; we have:
[tex]=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
where; a = -120 ; b = +1775 and c = 0
[tex]=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}[/tex]
[tex]=\dfrac{-(1775) + \sqrt{(1775)^2-4(-120)(0)}}{2(-120)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2-4(-120)(0)}}{2(-120)}[/tex]
[tex]=\dfrac{-(1775) + \sqrt{(1775)^2}}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2}}{(-240)}[/tex]
[tex]=\dfrac{-(1775) + (1775)}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) - (1775)}{(-240)}[/tex]
[tex]=\dfrac{0}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-3550}{(-240)}[/tex]
= 0 OR 14.79
Since; we are considering the value greater than zero
x = 14.79
maximum value of x = 14.79/2 = 7.395
Thus ; she should charge $7.395 per ticket in order to make the most money.
One positive number is
6 more than twice another. If their product is
1736, find the numbers.
Answer:
[tex]\Large \boxed{\sf \ \ 28 \ \text{ and } \ 62 \ \ }[/tex]
Step-by-step explanation:
Hello, let's note a and b the two numbers.
We can write that
a = 6 + 2b
ab = 1736
So
[tex](6+2b)b=1736\\\\ \text{***Subtract 1736*** } <=> 2b^2+6b-1736=0\\\\ \text{***Divide by 2 } <=> b^2+3b-868=0 \\ \\ \text{***factorize*** } <=> b^2 +31b-28b-868=0 \\ \\ <=> b(b+31) -28(b+31)=0 \\ \\ <=> (b+31)(b-28) =0 \\ \\ <=> b = 28 \ \ or \ \ b = -31[/tex]
We are looking for positive numbers so the solution is b = 28
and then a = 6 +2*28 = 62
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth of the snow is 7 inches now, what will be the depth one hour from now?
Answer:
8.5 inches
Step-by-step explanation:
First let's find the time t when the depth of the snow is 7 inches.
To do this, we just need to use the value of D = 7 then find the value of t:
[tex]7 = 1.5t + 4[/tex]
[tex]1.5t = 3[/tex]
[tex]t = 2\ hours[/tex]
We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:
[tex]D = 1.5*3 + 4[/tex]
[tex]D = 4.5 + 4 = 8.5\ inches[/tex]
The depth of snow one hour from now will be 8.5 inches.
The depth of the snow one hour from now is 8.5 inches.
Let D represent the depth of snow in inches at time t. It is given by the relationship:
D=1.5t + 4
Since the depth of the snow is 7 inches now, hence, the time now is:
7 = 1.5t + 4
1.5t = 3
t = 2 hours
One hour from now, the time would be t = 2 + 1 = 3 hours. Hence the depth at this time is:
D = 1.5(3) + 4 = 8.5 inches
Therefore the depth of the snow one hour from now is 8.5 inches.
Find out more at: https://brainly.com/question/13911928
Gwen has $20, $10, and $5 bills in her purse worth a total of $220. She has 15 bills in all. There are 3 more $20 bills than there are $10 bills. How many of each does she have?
Answer:
x = 8 ( 20$ bills)
y = 5 ( 10 $ bills)
z = 2 ( 5 $ bills)
Step-by-step explanation:
Let call x, y, and z the number of bill of 20, 10, and 5 $ respectively
then according to problem statement, we can write
20*x + 10*y + 5*z = 220 (1)
We also know the total number of bills (15), then
x + y + z = 15 (2)
And that quantity of 20 $ bill is equal to
x = 3 + y (3)
Now we got a three equation system we have to solve for x, y, and z for which we can use any valid procedure.
As x = 3 + y by substitution in equation (2) and (1)
( 3 + y ) + y + z = 15 ⇒ 3 + 2*y + z = 15 ⇒ 2*y + z = 12
20* ( 3 + y ) + 10*y + 5*z = 220 ⇒ 60 + 20*y + 10*y + 5*z = 220
30*y + 5*z = 160 (a)
Now we have only 2 equations
2*y + z = 12 ⇒ z = 12 - 2*y
30*y + 5*z = 160 30*y + 5* ( 12 - 2*y) = 160
30*y + 60 - 10*y = 160
20*y = 100
y = 100/20 y = 5 Then by substitution in (a)
30*y + 5*z = 160
30*5 + 5*z = 160
150 + 5*z = 160 ⇒ 5*z = 10 z = 10/5 z = 2
And x
x + y + z = 15
x + 5 + 2 = 15
x = 8
Answer:
x=8 y=5 x=2
Step-by-step explanation:
If three points are collinear, they are also coplanar
My explanation is attached below.
Answer:
True
Step-by-step explanation:
because i'm the best
What is (+16) - (+2)?
Answer:
(+16) - (+2) = 14
Step-by-step explanation:
Hope this helped you!
Answer:
14
Step-by-step explanation:
(+16) - (+2) =
= 16 - 2
= 14
x(x-2y)-(y-x)2=
the answer is
Answer:
-y^2
Step-by-step explanation:
x(x-2y)-(y-x)^2=
Distribute
x^2 -2xy -(y-x)^2=
Foil
x^2 -2xy -(y^2 -2xy+x^2)=
Distribute the minus sign
x^2 -2xy -y^2 +2xy-x^2=
Combine like terms
-y^2
Express it in slope-intercept form
Answer:
Step-by-step explanation:
Can u help me
Answer:
cant see the picture
Step-by-step explanation:
An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.8 and P(B) = 0.4. Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful?
Answer:
54.55% probability that only the Asian project is successful
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: At least one of the projects is successful.
Event B: Only the Asian project is successful.
We use P(A) for event A and event B, not related to the P(A) and P(B) given in the exercise.
Probability that at least one of the projects is successful.
Either none are successful, or at least one is. The sum of the probabilities is 1.
The Asian project has a probability of 0.8 of being successfull, which means that it has a probability of 1 - 0.8 = 0.2 of not being successful.
Following the same logic, the event B has a probability of 1 - 0.4 = 0.6 of not being successful. So
[tex]P(A) + 0.2*0.6 = 1[/tex]
[tex]P(A) = 0.88[/tex]
Intersection:
Between at least one being successful and only the Asian project successfull is the Asian succesful(probability 0.8) and the European not successful(probability 1 - 0.4 = 0.6). So
[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]
What is the probability that only the Asian project is successful?
[tex]P(B|A) = \frac{0.48}{0.88} = 0.5455[/tex]
54.55% probability that only the Asian project is successful
If 3x + 9y = 21 , find the value of 4(x + 3y)
Answer:
25
Step-by-step explanation:
The method that should be used is substitution:
Do this by taking 3x+9y=21 and transforming it to be [tex]y=-\frac{1}{2} x+\frac{7}{3}[/tex]
Once you have this, substitute the value of y that we just found into 3x+9y=21 to find the value of x: [tex]3x+9(-\frac{1}{2} +\frac{7}{3} ) =21[/tex]
Solve for x. You should get 1.5
Once you have this, Plug in 1.5 for the value of x into the y= equation that we found in the beginning: [tex]y=-\frac{1}{2} (1.5)+\frac{7}{3}[/tex]
Solve for y. You should get 1.583 (19/12)
Plug in the values of x and y that we found into the last equation to find its value: 4(1.5+3(1.583))
Add: (−2x^2 + 9x − 3) + (7x^2 − 4x + 2)
Answer:
5x^2+5x-1
Step-by-step explanation:
-2x^2+9x-3+7x^2-4x+2=5x^2+5x-1
Several terms of a sequence StartSet a Subscript n EndSet Subscript n equals 1 Superscript infinity are given below. {1, negative 5, 25, negative 125, 625, ...} a. Find the next two terms of the sequence. b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). c. Find an explicit formula for the general nth term of the sequence.
Answer:
(a) -3125, 15625
(b)
[tex]a_n=-5a_{n-1}, \\n\geq 2 \\a_1=1[/tex]
(c)[tex]a_n=(-5)^{n-1}[/tex]
Step-by-step explanation:
The sequence [tex]a_n$ _{n=1}^\infty[/tex] is given as:
[tex]\{1,-5,25,-125,625,\cdots\}[/tex]
(a)The next two terms of the sequence are:
625 X -5 = - 3125
-3125 X -5 =15625
(b)Recurrence Relation
The recurrence relation that generates the sequence is:
[tex]a_n=-5a_{n-1}, \\n\geq 2 \\a_1=1[/tex]
(c)Explicit Formula
The sequence is an alternating geometric sequence where:
Common Ratio, r=-5First Term, a=1Therefore, an explicit formula for the sequence is:
[tex]a_n=1\times (-5)^{n-1}\\a_n=(-5)^{n-1}[/tex]
which set of fractions is ordered from least to greatest 7/8 5/11 2/3
Answer:
5/11, 2/3, 7/8
Step-by-step explanation:
you can just do the numerator divided by the denominator to get a decimal, which can help you rank the fractions easier. hope this helps
Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the sum of the number and eight 5(x + 11) + 3(x + 8) 5 x + 11 Over 3 x + 8 Start Fraction 5 (x + 11) Over 3 (x + 8) 5x + 11 + 3x + 8
Answer:
85
Step-by-step explanation:
im new↑∵∴∵∴∞
What is the value of the angle marked with xxx?
Answer:
Here you go!! :)
Step-by-step explanation:
Given that the sides of the quadrilateral are 3.3
The measure of one angle is 116°
We need to determine the value of x.
Value of x:
Since, the given quadrilateral is a rhombus because it has all four sides equal.
We know the property that the opposite sides of the rhombus are equal.
The measure of the opposite angle is 116°
x = measure of opposite angle
x = 116°
Then, the value of x is 116°
Therefore, the value of x is 116°
Answer:
In the diagram, the measurement of x is 87°
Step-by-step explanation:
In this diagram, this shape is a quadrilateral. This quadrilateral in this picture is known as rhombus. In a rhombus, the consecutive angles are supplementary meaning they have a sum of 180°. Consecutive means the angles are beside each other. So, we will subtract 93 from 180 to find the value of x.
180 - 93 = 87
The measurement of x is 87°
Which of the following statements are true? I. The sampling distribution of ¯ x x¯ has standard deviation σ √ n σn even if the population is not normally distributed. II. The sampling distribution of ¯ x x¯ is normal if the population has a normal distribution. III. When n n is large, the sampling distribution of ¯ x x¯ is approximately normal even if the the population is not normally distributed. I and II I and III II and III I, II, and III None of the above gives the complete set of true responses.
Complete Question
Which of the following statements are true?
I. The sampling distribution of [tex]\= x[/tex] has standard deviation [tex]\frac{\sigma}{\sqrt{n} }[/tex] even if the population is not normally distributed.
II. The sampling distribution of [tex]\= x[/tex] is normal if the population has a normal distribution.
III. When n is large, the sampling distribution of [tex]\= x[/tex] is approximately normal even if the the population is not normally distributed.
A I and II
B I and III
C II and III
D I, II, and III
None of the above gives the complete set of true responses.
Answer:
The correct option is D
Step-by-step explanation:
Generally the mathematically equation for evaluating the standard deviation of the mean([tex]\= x[/tex]) of samples is [tex]\frac{\sigma}{\sqrt{n} }[/tex] hence the the first statement is correct
Generally the second statement is true, that is the sampling distribution of the mean ([tex]\= x[/tex]) is normal given that the population distribution is normal
Now according to central limiting theorem given that the sample size is large the distribution of the mean ([tex]\= x[/tex]) is approximately normal notwithstanding the distribution of the population
Making handcrafted pottery generally takes two major steps: wheel throwing and firing. The time of wheel throwing and the time of firing are normally distributed random variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively. Assume the time of wheel throwing and time of firing are independent random variables. (d) What is the probability that a piece of pottery will be finished within 95 minutes
Answer:
The probability that a piece of pottery will be finished within 95 minutes is 0.0823.
Step-by-step explanation:
We are given that the time of wheel throwing and the time of firing are normally distributed variables with means of 40 minutes and 60 minutes and standard deviations of 2 minutes and 3 minutes, respectively.
Let X = time of wheel throwing
So, X ~ Normal([tex]\mu_x=40 \text{ min}, \sigma^{2}_x = 2^{2} \text{ min}[/tex])
where, [tex]\mu_x[/tex] = mean time of wheel throwing
[tex]\sigma_x[/tex] = standard deviation of wheel throwing
Similarly, let Y = time of firing
So, Y ~ Normal([tex]\mu_y=60 \text{ min}, \sigma^{2}_y = 3^{2} \text{ min}[/tex])
where, [tex]\mu_y[/tex] = mean time of firing
[tex]\sigma_y[/tex] = standard deviation of firing
Now, let P = a random variable that involves both the steps of throwing and firing of wheel
SO, P = X + Y
Mean of P, E(P) = E(X) + E(Y)
[tex]\mu_p=\mu_x+\mu_y[/tex]
= 40 + 60 = 100 minutes
Variance of P, V(P) = V(X + Y)
= V(X) + V(Y) - Cov(X,Y)
= [tex]2^{2} +3^{2}-0[/tex]
{Here Cov(X,Y) = 0 because the time of wheel throwing and time of firing are independent random variables}
SO, V(P) = 4 + 9 = 13
which means Standard deviation(P), [tex]\sigma_p[/tex] = [tex]\sqrt{13}[/tex]
Hence, P ~ Normal([tex]\mu_p=100, \sigma_p^{2} = (\sqrt{13})^{2}[/tex])
The z-score probability distribution of the normal distribution is given by;
Z = [tex]\frac{P- \mu_p}{\sigma_p}[/tex] ~ N(0,1)
where, [tex]\mu_p[/tex] = mean time in making pottery = 100 minutes
[tex]\sigma_p[/tex] = standard deviation = [tex]\sqrt{13}[/tex] minutes
Now, the probability that a piece of pottery will be finished within 95 minutes is given by = P(P [tex]\leq[/tex] 95 min)
P(P [tex]\leq[/tex] 95 min) = P( [tex]\frac{P- \mu_p}{\sigma_p}[/tex] [tex]\leq[/tex] [tex]\frac{95-100}{\sqrt{13} }[/tex] ) = P(Z [tex]\leq[/tex] -1.39) = 1 - P(Z < 1.39)
= 1 - 0.9177 = 0.0823
The above probability is calculated by looking at the value of x = 1.39 in the z table which has an area of 0.9177.
On a Cartesian coordinate plane, points $(2,1)$ and $(3, 4)$ are adjacent points on a square. What is the area of the square?
Hey there! :)
Answer:
A = 10 units².
Step-by-step explanation:
To solve this, we need to find the distance between the two points to derive the side-lengths of the square. Use the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Plug in points into the formula to find the distance:
[tex]d = \sqrt{(3 - 2)^2 + (4-1)^2}[/tex]
Simplify:
[tex]d = \sqrt{(1)^2 + (3)^2}[/tex]
[tex]d = \sqrt{(1) + (9)}[/tex]
[tex]d = \sqrt{10}[/tex]
Find the area of the square using the formula A = s² where s = √10:
A = (√10)²
A = 10 units².
Answer:
10
Step-by-step explanation:
We use the distance formula to find the distance between the two points, which is the side length of the square.. Therefore, the area of the square is 10.
-12
Natural
Whole
Integers
Rationals
Irrationals
Real
Answer:
the answer is integers if helpful please give 5 star
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours.
Answer:
The probability of a bulb lasting for at most 552 hours.
P(x>552) = 0.0515
Step-by-step explanation:
Step(i):-
Given mean of the life time of a bulb = 510 hours
Standard deviation of the lifetime of a bulb = 25 hours
Let 'X' be the random variable in normal distribution
Let 'x' = 552
[tex]Z = \frac{x-mean}{S.D} = \frac{552-510}{25} =1.628[/tex]
Step(ii):-
The probability of a bulb lasting for at most 552 hours.
P(x>552) = P(Z>1.63)
= 1- P( Z< 1.63)
= 1 - ( 0.5 + A(1.63)
= 1- 0.5 - A(1.63)
= 0.5 -A(1.63)
= 0.5 -0.4485
= 0.0515
Conclusion:-
The probability of a bulb lasting for at most 552 hours.
P(x>552) = 0.0515
Suppose that a poll taken 10 years ago found that 55% of parents spank their children. Suppose a recent poll of 500 adults with children finds that 242 indicated that they spank their children. Complete parts (a) and (b) below. (a) Assuming parents' attitude toward spanking has not changed since the original poll, how many of the 500 parents surveyed would be expected to spank their children?
Answer:
Of the 500 parents surveyed 275 would be expected to spank their children.
Step-by-step explanation:
Let the random variable X represent the number of parents who spank their children.
It is provided that, from previous studies, p = 55% of parents spank their children.
A random sample of n = 500 adults were selected.
The event whether a parent spank their children is independent of other parents.
The random variable X thus follows a Binomial distribution with parameters n = 500 and p = 0.55.
The expected value of a Binomial random variable is:
[tex]E(X)=np[/tex]
[tex]=500\times 0.55\\=275[/tex]
Thus, of the 500 parents surveyed 275 would be expected to spank their children.
From the 500 parents surveyed, the number of parents that will be expected to spank their children is 275 parents.
Number of parents surveyed = 500
Percentage of parents that spank their children = 55%
Therefore, from the 500 parents surveyed, the number of parents that will be expected to spank their children will be:
= 55% × 500
= 0.55 × 500
= 275
Therefore, the number of parents will be 275 parents.
Read related link on:
https://brainly.com/question/18582313
Find the magnitudes of sides x and y.
Answer:
x ≈ 13.8 units
y ≈ 22.0 units
Step-by-step explanation:
We must use trigonometry to address this problem.
First, we know that y is the side opposite to the labelled angle, and x is the side adjacent to the labelled angle. 26 is the length of the hypotenuse.
We use cosine to find x (because cosine = adjacent / hypotenuse) and sine to find y (because sine = opposite / hypotenuse).
cos(58) = x/26
x = 26 * cos(58) ≈ 13.8
sin(58) = y/26
y = 26 * sin(58) ≈ 22.0
Thus, x ≈ 13.8 units and y ≈ 22.0 units.
~ an aesthetics lover
the coordinates of the vertices of a polygon are shown below
D(-4,5),E(-1,5),F(1,2), and G(-1,-1)
what type of polygon is this figure?
heptagon
hexagon
octagon
quadrilateral
Answer:
Option D.
Step-by-step explanation:
The given vertices of a polygon are D(-4,5),E(-1,5),F(1,2), and G(-1,-1).
Here, number of vertices is 4.
In heptagon, number of vertices = 7
In hexagon, number of vertices = 6
In octagon, number of vertices = 8
In quadrilateral, number of vertices = 4
Since the given polygon has 4 vertices, therefore it is a quadrilateral.
Hence, option D is correct.
Answer:
d
Step-by-step explanation:
vertex form of x^2+6x+3
Answer:
y = (x + 3)^2 - 6.
Step-by-step explanation:
The vertex formula is Y = a(x - h)^2 + k.
To find the vertex formula, we need to find h and k, by finding the vertex of x^2 + 6x + 3.
h = -b/2a
a = 1, b = 6.
h = -6 / 2 * 1 = -6 / 2 = -3
k = (-3)^2 + 6(-3) + 3 = 9 - 18 + 3 = -9 + 3 = -6
So far, we have Y = a(x - (-3))^2 + -6, so y = a(x + 3)^2 - 6.
In this case, the coefficient of x^2 of the given formula is 1, which means that a will be 1.
The vertex form of x^2 + 6x + 3 is y = (x + 3)^2 - 6.
To check our work...
y = (x + 3)^2 - 6
= x^2 + 3x + 3x + 9 - 6
= x^2 + 6x + 3
Hope this helps!
The time X(mins) for Ayesha to prepare breakfast for her family is believed to have a uniform
distribution with A=25 and B=35.
a) Determine the pdf of X and draw its density curve.
b) What is the probability that time taken by Ayesha to prepare breakfast exceeds 33 mins?
c) What is the probability that cooking or preparation time is within 2 mins of the mean time?
(Hint: Identify mean from the graph of f(x))
Answer:
(c) [tex]f_{X}(x)=\left \{ {{\frac{1}{35-25}=\frac{1}{10};\ 25<X<35} \atop {0;\ Otherwise}} \right.[/tex]
(b) The probability that time taken by Ayesha to prepare breakfast exceeds 33 minutes is 0.20.
(c) The probability that cooking or preparation time is within 2 mins of the mean time is 0.40.
Step-by-step explanation:
The random variable X follows a Uniform (25, 35).
(a)
The probability density function of an Uniform distribution is:
[tex]f_{X}(x)=\left \{ {{\frac{1}{B-A};\ A<X<B} \atop {0;\ Otherwise}} \right.[/tex]
Then the probability density function of the random variable X is:
[tex]f_{X}(x)=\left \{ {{\frac{1}{35-25}=\frac{1}{10};\ 25<X<35} \atop {0;\ Otherwise}} \right.[/tex]
(b)
Compute the value of P (X > 33) as follows:
[tex]P(X>33)=\int\limits^{35}_{33} {\frac{1}{10}} \, dx \\\\=\frac{1}{10}\cdot\int\limits^{35}_{33} {1} \, dx \\\\=\frac{1}{10}\times [x]^{35}_{33}\\\\=\frac{35-33}{10}\\\\=\frac{2}{10}\\\\=0.20[/tex]
Thus, the probability that time taken by Ayesha to prepare breakfast exceeds 33 minutes is 0.20.
(c)
Compute the mean of X as follows:
[tex]\mu=\frac{A+B}{2}=\frac{25+35}{2}=30[/tex]
Compute the probability that cooking or preparation time is within 2 mins of the mean time as follows:
[tex]P(30-2<X<30+2)=P(28<X<32)[/tex]
[tex]=\int\limits^{32}_{28} {\frac{1}{10}} \, dx \\\\=\frac{1}{10}\cdot\int\limits^{32}_{28}{1} \, dx \\\\=\frac{1}{10}\times [x]^{32}_{28}\\\\=\frac{32-28}{10}\\\\=\frac{4}{10}\\\\=0.40[/tex]
Thus, the probability that cooking or preparation time is within 2 mins of the mean time is 0.40.
Sarah and Sunil are racing to see who is a faster dishwasher. Sarah cleaned 18 dishes in 10 minutes. Sunil cleaned 30 in 18 minutes. What was Sarah and Sunil's rate?
Answer:
1.8 dishes per minute (Sarah)
1.67 dishes per minute (Sunil)
Step-by-step explanation:
We can find the rate by dividing the number of dishes by the number of minutes:
18/10 = 1.8 dishes per minute
30/18 = 1.67 dishes per minute
If ∠1 and ∠2 are complementary and m∠1 = 17º, what is m∠2
Answer:
m<2 = 73
Step-by-step explanation:
Since <1 and <2 are complementary (which means that they equal 90), all you have to do is subtract 17 from 90 to find your answer:
90 - 17 = 73
thus, m<2 = 73
Answer:
73
Step-by-step explanation:
can I get some help please?
━━━━━━━☆☆━━━━━━━
▹ Answer
2,013 cartons
▹ Step-by-Step Explanation
72,468 ÷ 36 = 2,013 cartons
Hope this helps!
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Answer:
72,468 eggs divided by 36 eggs per carton=2,013 cartons
Step-by-step explanation:
what is 3(C - 5) = 48
Answer:
c=21
Step-by-step explanation:
[tex]3(c-5)=48\\3c-15=48\\3c=48+15\\3c=63\\c=63/3\\c=21[/tex]
Hope this helps,
plx give brainliest
Answer:
c=21
Step-by-step explanation:
3(c−5)=48
Divide both sides by 3.
c-5=48/3
Divide 48 by 3 to get 16.
c−5=16
Add 5 to both sides.
c=16+5
Add 16 and 5 to get 21.
c=21
A principal of $2000 is invested at 6% Interest, compounded annually. How much will the investment be worth after 11 years
round your answer to the nearest dollar.
Answer:
A=3797 dollars
Step-by-step explanation:
A=P(1+r)^t t=time period, r is the rate, P is the principal
A=2000(1+0.06)^11
A=3797 dollars
Select the correct answer from each drop-down menu.
The given equation has been solved in the table.
Answer: a) additive inverse (addition)
b) multiplicative inverse (division)
Step-by-step explanation:
Step 2: 6 is being added to both sides
Step 4: (3/4) is being divided from both sides
It is difficult to know what options are provided in the drop-down menu without seeing them. If I was to complete a proof and justify each step, then the following justifications would be used:
Step 2: Addition Property of Equality
Step 4: Division Property of Equality