Answer:
The correct answer is - C. 24.1%
Step-by-step explanation:
Given:
mean μ = 65%
standard deviation δ = 7.1 %
solution:
Prob( X>70) = 1 - Prob(x<70)
= P (x-μ/δ ≥ 70 -65/7.1)
= 1 - Prob( (70-65)/7.1)
= 1 - Prob ( z < 0.7042553)
= 0.24065
the percentage of students scoring 70 or more in the exam
= 24.065*100
= 24.1%
In the parallelogram below, solve for x.
D (9x + 5)
E
G
F (13 - 43y
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
Given
[tex]\angle D = 9x + 5[/tex]
[tex]\angle F = 13x -43[/tex]
Required
Find x
To find x, we make use of:
[tex]\angle D =\angle F[/tex] --- opposite angles of a parallelogram
So, we have:
[tex]9x + 5 =13x -43[/tex]
Collect like terms
[tex]9x - 13x = -5-43[/tex]
[tex]-4x = -48[/tex]
Divide by -4
[tex]x = 12[/tex]
First make a substitution and then use integration by parts to evaluate the integral. integral t^11 e^-t^6 dt + C
It looks like you want to find
[tex]\displaystyle \int t^{11} e^{-t^6}\,\mathrm dt[/tex]
Substitute u = -t ⁶ and du = -6t ⁵ dt. Then
[tex]\displaystyle \int t^{11} e^{-t^6}\,\mathrm dt = \frac16 \int (-6t^5) \times (-t^6) e^{-t^6}\,\mathrm dt = \frac16 \int ue^u \,\mathrm du[/tex]
Integrate by parts, taking
f = u ==> df = du
dg = eᵘ du ==> g = eᵘ
Then
[tex]\displaystyle \frac16 \int ue^u \,\mathrm du = \frac16\left(fg-\int g\,\mathrm df\right) \\\\ =\frac16 ue^u - \frac16\int e^u\,\mathrm du \\\\ =\frac16 ue^u - \frac16 e^u + C \\\\ =-\frac16 t^6 e^{-t^6} - \frac16 e^{-t^6} + C \\\\ =\boxed{-\frac16 e^{-t^6} \left(t^6+1\right) + C}[/tex]
Nadia is ordering cheesecake at a restaurant, and the server tells her that she can have up to five toppings: caramel, whipped cream, butterscotch sauce, strawberries, and hot fudge. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Nadia gets just caramel, butterscotch sauce, strawberries, and hot fudge
Answer:
The probability that Nadia gets just caramel, butterscotch sauce, strawberries, and hot fudge is P = 1/32 = 0.03125
Step-by-step explanation:
There are up to 5 toppings, such that the toppings are:
caramel
whipped cream
butterscotch sauce
strawberries
hot fudge
We want to find the probability that, If the server randomly chooses which toppings to add, she gets just caramel, butterscotch sauce, strawberries, and hot fudge.
First, we need to find the total number of possible combinations.
let's separate them in number of toppings.
0 toppins:
Here is one combination.
1 topping:
here we have one topping and 5 options, so there are 5 different combinations of 1 topping.
2 toppings.
Assuming that each topping can be used only once, for the first topping we have 5 options.
And for the second topping we have 4 options (because one is already used)
The total number of combinations is equal to the product between the number of options for each topping, so here we have:
c = 4*5 = 20 combinations.
But we are counting the permutations, which is equal to n! (where n is the number of toppings, in this case is n = 2), this means that we are differentiating in the case where the first topping is caramel and the second is whipped cream, and the case where the first topping is whipped cream and the second is caramel, to avoid this, we should divide by the number of permutations.
Then the number of different combinations is:
c' = 20/2! = 10
3 toppings.
similarly to the previous case.
for the first topping there are 5 options
for the second there are 4 options
for the third there are 3 options
the total number of different combinations is:
c' = (5*4*3)/(3!) = (5*4*3)/(3*2) = 10
4 toppings:
We can think of this as "the topping that we do not use", so there are only 5 possible toppings to not use, then there are 5 different combinations with 4 toppings.
5 toppings:
Similar to the first case, here is only one combination with 5 toppings.
So the total number of different combinations is:
C = 1 + 5 + 10 + 10 + 5 + 1 = 32
There are 32 different combinations.
And we want to find the probability of getting one particular combination (all of them have the same probability)
Then the probability is the quotient between one and the total number of different combinations.
p = 1/32
The probability that Nadia gets just caramel, butterscotch sauce, strawberries, and hot fudge is P = 1/32 = 0.03125
If 64 > x^3, then the greatest possible integer value
of x is
(a) 1
(c) 3
(b) 2
(d) 4
Answer:
C
Step-by-step explanation:
64>x^3, plugging in x=3, we have 64>27 which is TRUE
six times the sum of a number and 4 is 5
The sum of 6 times a number and 4 equals 5
The sum (+) of 6 times (multiply by 6) a number (x) and 4 equals (=) 5
6 times (multiply by 6) a number (x) + 4 = 5
6x + 4 = 5
6x = 5 - 4
6x = 1
x = 1/6
Answer:
6(x+4) = 5
=> 6x + 24 = 5
=> 6x= -19
=> x = -19/6
=> x = -3.16666
Lets subtitute the value of x for proof
6(x+4)
6(-3.16666+4)
-18.999996+24
= 5.00004~ 5.00
If X²+1=2x then what the value of x²?
Answer:
x² = 2x - 1
Step-by-step explanation:
x² + 1 = 2x
→ Minus 1 from both sides
x² = 2x - 1
x^2 + 1 = 2x
x^2 = 2x - 1
Also value of x = Root(2x -1)
Answered by Gauthmath must click thanks and mark brainliest
Find the missing side lengths
I need help in y = ( it's not 6 I put every number and still got it wrong)
Answer:
y = 9√3
x = 18
Step-by-step explanation:
taking 30 as reference angle
b = y
p = 9
h = x
so
tan30 = p/b
1/√3 = 9/b
or, b = 9√3
so
[tex]h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18[/tex]
Fixed costs are $3,000, variable costs are $5 per unit. The company will manufacture 100 units and chart a 50% markup. Using the cost-plus pricing method, what will the selling price be? (2 pts)
Your company has fixed costs of $150,000 per year. The variable costs per unit in 2018 were $3 per unit, and 30,000 units were produced that year. Your company uses cost-based pricing and has a profit margin of $3 per unit. In 2019, production increased and your team had more experience—variable costs went down to $2 per unit because of your team’s higher skill and 65,000 units were produced that year. What is the change in selling price from 2018 to 2019? (2 pts)
Fixed Costs are $500,000. Per unit costs are $75, and the proposed price is $200. How many units must be sold to break even? How many units must be sold to realize a $200,000 target return? (2 pts)
Congratulations! You you just decided to become the proud owner of a new food truck offering traditional Mediterranean cuisine. Kitchen and related equipment costs are $100,000. Other fixed costs include salaries, gas for the truck, and license fees and are estimated to be about $50,000 per year. Variable costs include food and beverages estimated at $6 per platter (meat, rice, vegetable, and pita bread). Meals will be priced at $10.
Answer:
1. Using the cost-plus pricing method, the selling price = $5.25
2. The change in selling price from 2018 to 2019 is $3.69 or 33.5% reduction.
3. To break-even, unit sales = 4,000 units
To realize a target return of $200,000, the unit sales = 5,600 units
4. Units to break-even = 12,500 meals
Sales revenue at break-even point = $125,000
Step-by-step explanation:
a) Data and Calculations:
Fixed costs = $3,000
Variable costs per unit = $5
Units manufactured = 100 units
Total variable costs = $500 ($5 * 100)
Total costs = $3,500 ($500 + $3,000)
Cost per unit = $3.50
Markup percentage = 50%
Using the cost-plus pricing method, the selling price = $5.25 ($3.50 * 1.5)
b) Fixed costs per year = $150,000
Variable costs per unit = $3
Production units = 30,000
Total variable costs = $90,000 ($3 * 30,000)
Cost-based pricing with a profit margin = $3 per unit
Total costs = $240,000 ($90,000 + $150,000)
Cost per unit = $8 ($240,000/30,000)
Selling price per unit = $11 ($8 + $3)
Variable cost = $2 per unit
Production units = 65,000 units
Total costs = ($2 * 65,000 + $150,000)
= $280,000 ($130,000 + $150,000)
Unit cost = $4.31 ($280,000/65,000)
Selling price = $7.31 ($4.31 + $3)
Change in selling = $3.69 ($11 = $7.31) = 33.5%
c) Fixed costs = $500,000
Per unit costs = $75
Proposed price = $200
Contribution margin per unit = $125 ($200 - $75)
To break-even, unit sales = $500,000/$125 = 4,000 units
To realize a target return of $200,000, the unit sales = $700,000/$125 = 5,600 units
d) Kitchen and related equipment costs = $100,000
Other fixed costs per year = $50,000
Variable costs = $6 per platter
Price per meal = $10
Contribution margin per meal = $4 ($10 - $6)
Units to break-even = $50,000/$4 = 12,500 meals
Sales revenue at break-even point = $50,000/40% = $125,000
Help please and thank you!!!!!
9514 1404 393
Answer:
a) 2 and 4; b) 1&2, 2&3, 3&4x = 16Step-by-step explanation:
1a. Vertical angles share a vertex and are composed of opposite rays. Here, angles 2 and 4 are vertical angles.
1b. Consecutively numbered angles are adjacent, as are angles 1 and 5. The pairs of interest can be chosen from ...
1&2, 2&3, 3&4, 4&5, 5&1
__
2. Angles 1 and 3 have the same measure, because they are vertical angles. Then we have ...
78° = (5x -2)°
80 = 5x . . . . . . . divide by °, add 2
16 = x . . . . . . . divide by 5
Find the probability. A calculator requires a keystroke assembly and a logic circuit. Assume that 75% of the keystroke assemblies and 94% of the logic circuits are satisfactory. Find the probability that a finished calculator will be satisfactory.
Answer:
0.705 = 70.5% probability that a finished calculator will be satisfactory.
Step-by-step explanation:
Probability of independent events:
If two events, A and B, are independent, the probability of both happening is the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
Event A: Keystroke assembly are satisfactory.
Event B: Logic circuits are satisfactory.
75% of the keystroke assemblies and 94% of the logic circuits are satisfactory.
This means that [tex]P(A) = 0.75, P(B) = 0.94[/tex]
Find the probability that a finished calculator will be satisfactory.
Both satisfactory, and since they are independent:
[tex]P(A \cap B) = P(A)P(B) = 0.75*0.94 = 0.705[/tex]
0.705 = 70.5% probability that a finished calculator will be satisfactory.
Hi I need help :( I can’t figure these out
Step-by-step explanation:
I do don't either ok wjshjddshsj
Date Page If the product of two identical number is 1024, find one of the numbers
Answer:
32
Step-by-step explanation:
Let the number be x^2.
x^2 =1024
x = √1024
x = 32
Answer:
32, 32
Step-by-step explanation:
x * x = 1024
x² = 1024
x = √1024
x = 32
help me with this please
build and sketch 2x2+7x+6)
Answer:
Step-by-step explanation:
Deidre is planting tulips in her garden, and she has 44 red bulbs and 44 purple bulbs to plant in one row. What is the probability that she randomly plants the bulbs so that all 44 red bulbs are next to each other and all 44 purple bulbs are next to each other
Answer:
[tex]P=7.62*10^{-26}[/tex]
Step-by-step explanation:
From the question we are told that:
Available plants:
44 red bulbs
44 purple bulbs
Generally the equation for Total possible arrangement is mathematically given by
[tex]n= 88!/(44!*44!)[/tex]
[tex]n=2.6*10^{25}[/tex]
Since
Its either
All 44 red bulbs and All 44 purple bulbs next to each other in one row
OR
All 44 purple bulbs and All 44 Red bulbs next to each other in one row
Therefore
Probability is
[tex]P=\frac{2}{2.6*10^{25}}[/tex]
[tex]P=7.62*10^{-26}[/tex]
Find the area of a triangle with the given description. (Round your answer to one decimal place.)
a triangle with sides of length 14 and 28 and included angle 20°
9514 1404 393
Answer:
67.0 square units
Step-by-step explanation:
The formula for the area is ...
Area = 1/2ab·sin(C)
Area = (1/2)(14)(28)sin(20°) ≈ 67.036 . . . . square units
The area of the triangle is about 67.0 square units.
What is the solution of log(4-3) = log(17-41)?
O4
O 5
O 15
O 20
Explanation:
The rule is that if log(A) = log(B), then A = B
Using this idea, we can then say,
log(t - 3) = log(17 - 4t)
t - 3 = 17 - 4t
t+4t = 17+3
5t = 20
t = 20/5
t = 4
The solution to the logarithmic equation is t = 5
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
log ( t - 3 ) = log (17 - 3t ) be equation (1)
On simplifying , we get
The bases of the logarithm are equal
So , the values are equal and therefore
t - 3 = 17 - 3t
Adding 3t on both sides , we get
4t - 3 = 17
Adding 3 on both sides , we get
4t = 20
Divide by 4 on both sides , we get
t = 20 / 4
t = 5
Therefore , the value of t is 5
Hence , the logarithmic equation is solved
To learn more about logarithm click :
https://brainly.com/question/12049968
#SPJ7
X ^2 + 2x + y’ + 6y = 15
Step-by-step explanation:
x^2+2x+7y=15
7y=15-x^2-2x
y=15/7-1/7x^2-2/7x , x ∈ all real numbers
1. Find the value of the unknown angles in the following diagram.
Answer:
z= 40
y=140
x= 115
Step-by-step explanation:
look at the pics
welp I am getting graded for this
Answer:
it is summer how do y'all still have school,like don't they give y'all a break
If anyone knows answer with steps that will be greatly appreciated :)
Answer:
The area formula is= 1/2(a+b)×height
1/2×20×6=60metres squared
Step-by-step explanation:
kindly correct me if am wrong
a bus carry 53 passengar on a trif. how many passenger can 9 such carry if each dose 2 trif
Answer:
954 passengers
Step-by-step explanation:
(Assuming I read the question correctly)
1 bus can carry in 1 trip = 53 passengers
1 bus can carry in 2 trips : 106 passsengers
9 busses can carry in 2 trips = 106 x 9 = 954
Answred by Gauthmath
If you apply the changes below to the absolute value parent function F(x)= |x|, What is the new function? Shift 5 units to the left, shift 4 units down.
Identify the factorization of 36 + 25x2.
Answer:
86
Step-by-step explanation:
First, we should use the rule of:
B: bracket
O: of
D: division
M: multiplication
A: addition
S: subtraction
so, before adding we should multiply
or;36+50
or;86 ans.
A piece of iron wire can be made into a circle with a radius of three centimeters.If I make a square around this wire,what is the area of the square
Answer:
the area should be 3 centimeters around the square
Step-by-step explanation:
Rachel needs to stop at the florist shop on her way to the hospital to see her Uncle Joey. Each square's side length is 1 block. How many blocks will she need to walk to reach the hospital?
Answer:
24 Blocks
Step-by-step explanation:
Just Do It :)
Answer:24 blocks i think
Step-by-step explanation:
PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!
Answer:
1/36
Step-by-step explanation:
When you roll a die the possible outcomes are 1,2,3,4,5,6
P(1) = number of outcomes that are 1 / total outcomes
=1/6
The events are independent so we can multiply the probabilities
P(1,1) = 1/6*1/6 = 1/36
if f(x)=x+7 and 9(x)=1/x-13 what is the domain of (f•g)(x)
Answer:
The only limitation is x≠0
The interval notation is (-∞,0)∪(0,∞)
Step-by-step explanation:
Set up the expression.
[tex](x+7)*(\frac{1}{x}-13)[/tex]
Multiply using FOIL.
[tex](x*\frac{1}{x})+(x*-13)+(7*\frac{1}{x})+(7*-13)[/tex]
[tex]1-13x+\frac{7}{x}-91[/tex]
[tex]-13x+\frac{7}{x}-91[/tex]
Find the Domain.
The only limitation is x≠0
The interval notation is (-∞,0)∪(0,∞)
Help me please and thank you
Answer:
D. 3
Step-by-step explanation:
Answer:
3
step by step explanitation
Find the area of the shaded region in the image below:
9514 1404 393
Answer:
34 square units.
Step-by-step explanation:
The figure can be decomposed into a trapezoid and a triangle. The point of intersection of the two lines is (6, 4), so a horizontal line at y=4 will create ...
a triangle of height 2 and base 6a trapezoid with bases 6 and 8, and height 4.Using the relevant area formulas, we find ...
triangle area = 1/2bh = 1/2(6)(2) = 6
trapezoid area = 1/2(b1 +b2)h = 1/2(6+8)(4) = 28
Total shaded area = 6 + 28 = 34 square units.
__
The equations of the lines can be written as ...
y = -2x +16
y = -1/3x +6
Equating y, we get
-2x +16 = -1/3x +6
10 = 5/3x . . . . . . . . . add 2x-6
6 = x . . . . . . . . . multiply by 3/5
y = -2(6) +16 = 4
The point of intersection is (6, 4).
_____
Alternate solution
Once we know the vertices of the shaded area:
(0, 0)(0, 6)(6, 4)(8, 0)(0, 0)we can form pairwise "determinants" of the form x1y2 -x2y1. Note the first point is repeated at the bottom of the list, and the points are listed in order around the boundary of the area. The points (0, 0) contribute nothing, so we have left them out of the computation below. The area is half the absolute value of the sum of these "determinants".
1/2|(0·4 -6·6) +(6·0)-(8·4)|
= 1/2|-36 -32| = 1/2(68) = 34
_____
In the attachment, the equations of the lines are written in intercept form, since the problem statement gives the intercepts of the lines.
