Answer:
Asumiendo que la distribución de las compras sea normal, tenemos:
_
x = 128.45
σ = 18.26
a)
x = 100
Normalizamos:
.......... _
z = (x - x) / σ
z = (100 - 128.45) / 18.26
z = -28.45 / 18.26
z ≅ -1.56
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).
Como preguntan P(x > 100), tenemos que
P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406
La probabilidad de que un cliente compre más de $100 es del 94.06%.
=======
b)
x = 150
Normalizamos:
.......... _
z = (x - x) / σ
z = (150 - 128.45) / 18.26
z = 21.55 / 18.26
z ≅ 1.18
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).
Como preguntan P(x > 150), tenemos que
P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190
La probabilidad de que un cliente compre más de $150 es del 11.90%.
=======
c)
x = 120
Normalizamos:
.......... _
z = (x - x) / σ
z = (120 - 128.45) / 18.26
z = -8.45 / 18.26
z ≅ -0.46
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).
Como preguntan P(x < 120), tenemos que
P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228
RESPUESTA:
La probabilidad de que un cliente compre menos de $120 es del 32.28%
The gestation period of humans (266 days) is _____ percent longer than the gestation period of lions (108 days).
The gestation period of humans (266 days) is 146.3% percent longer than the gestation period of lions (108 days).
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.
Given that, gestation period of humans = 266 days and gestation period of lions = 108 days
Number of days taken more by humans in gestation period =
266-108 = 158
Percentage = 158/108 × 100 = 146.3%
Hence, the gestation period of humans (266 days) is 146.3% percent longer than the gestation period of lions (108 days).
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Show 24÷1/4 step by step
Answer:
96
Step-by-step explanation:
24 divided by 1/4 is 96
you turn 24 into a fraction by putting a one under is and then you keep it change it flip it
24/1 Divided by 1/4
24/1 times 4/1
24 times 4= 96
1 times 1= 1
96/1=96
3z + 2 + (-5) + 6 PLS HELP NEED TO TURN IN BY 2:30
Answer:
ok, but what does z in the equation equal? Since its a letter it has to equal to a number
How much elastic energy is stored in a slingshot that has a spring constant of 300 N/m and is stretched by 0.45m?
Answer:
E = 30.37 J
Step-by-step explanation:
Given that,
The spring constant of the spring, k = 300 N/m
The spring is stretched by 0.45 m, x = 0.45 m
We need to find the elastic energy stored in the spring. The formula for the elastic energy is given by :
[tex]E=\dfrac{1}{2}kx^2\\\\=\dfrac{1}{2}\times 300\times (0.45)^2\\\\=30.37\ J[/tex]
So, the required elastic energy is equal to 30.37 J.
the volume of the sphere is 70.34 cubic inches. use pi 3.14
Answer:
B (2.6)
Step-by-step explanation:
write a mutiplcation exprresion that shows ten to the third
Answer:
10x10x10 or 10*3......
A clients intake in mL
Apple juice 2 oz
Chicken Broth 4 oz
Gelatin Dessert 3 oz
Hot tea 5 oz
3
Total mL
A) 330
B) 420
C) 510
D) 670
Answer:
Total intake in ML = 414 ml (Approx.)
Step-by-step explanation:
Given:
Apple juice intake = 2 oz
Chicken broth intake = 4 oz
Gelatin dessert intake = 3 oz
Hot tea intake = 5 oz
Find:
Total intake in ML
Computation:
1 oz = 29.5735 ml
Apple juice intake in ml = 2 x 29.5735
Apple juice intake in ml = 59.147 ml
Chicken broth intake = 4 x 29.5735
Chicken broth intake = 118.294 ml
Gelatin dessert intake = 3 x 29.5735
Gelatin dessert intake = 88.7205ml
Hot tea intake = 5 x 29.5735
Hot tea intake = 147.8675 ml
Total intake in ML = 59.147 ml + 118.294 ml + 88.7205ml + 147.8675 ml
Total intake in ML = 414.029 ml
Total intake in ML = 414 ml (Approx.)
pls find the angle HAF in the diagram
Answer:
∠HAF ≈ 64.90°
Step-by-step explanation:
You want the angle HAF, a base angle in the isosceles triangle formed by the face diagonals of the cuboid with dimensions 6 cm, 6 cm, and 8 cm.
Diagonal lengthsThe lengths of the diagonals can be found using the Pythagorean theorem:
HA² = HD² + DA²
HA² = 6² +6² = 2·6²
HA = 6√2 . . . cm
FA² = FB² +BA²
FA² = 6² +8² = 36 +64 = 100
FA = 10 . . . cm
Diagonal FH is the diagonal of a rectangle with the same dimensions as the rectangle whose diagonal is FA:
FH = FA = 10 . . . cm
Law of CosinesThe angle A can be found using the law of cosines:
FH² = FA² +HA² -2·FA·HA·cos(A)
A = arccos((FA² +HA² -FH²)/(2FA·HA))
A = arccos((100 +72 -100)/(2·10·6√2)) = arccos(72/(120√2))
A = arccos(0.3√2) ≈ 64.90°
Angle HAF is about 64.90°.
Can someone help will give brainliest
Answer:
Looking at this, slope seems to be 2 for the graph
So, looking at your options, -4 is less than 2, therefore, the answer is
D, with slope -4
Answer:
D
Step-by-step explanation:
The graphed function rises 2 in y for each run of 1 in x
Therefor the slope is 2/1 = 2
-------------------------
A) goes up 6 for each run of 3
slope = 6/3 = 2
B) goes up 15 for each run of 3
slope = 15/3 = 5
C) this is in slope intercept for of y = mx + b
m is the slope = 6
D) this is in slope intercept for of y = mx + b
m is the slope = -4
-------------------------------------
only D has a slope less than 2
You can sand 4 over 9 yd.² of wood and one over two hour how many square yards can you send in 3.2 hours?
You can sand 14.4 yd² of wood in 3.2 hours.
What is Ratio?A ratio is used to compare two or more like quantities or numbers with the same units. It is often written with a colon, and when used in words, we say the ratio of one quantity "to" the second quantity. A rate is a ratio that compares two different quantities which have different units.
9:2
x:3.2
therefore;
x = (3.2 x 9)/2
x = 28.8/2
x = 14.4 yd² of wood
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Lin and Elena decide to race. Elena runs her mile at a constant speed of 0.125 miles per hour, or y=0.125x. Lin's speed is captured by the graph below.
Answer:
y = .111x
Step-by-step explanation:
Lea needs at least $240 to buy new headphones. She has already saved $30. She
earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
Answer:
x = the number of cars she needs to wash
Step-by-step explanation:
i am number between 47 and 53 no two of my factors are the same number what number am i
A number between 47 and 53 such that the prime factors are not repeated is:
3*17 = 51
How to find the number?Remember that any number can be written as a product of prime factors.
If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.
For example:
2*3*5*7 = 210
There are no repeated factors, but the number is not in the desired range.
2*5*7 = 70
Still not in the range.
You can try some times until you get for example:
3*17 = 51
This a number in the desired range, such that their prime factors are not repeated.
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What is the answer please help me no links
Answer:
C= 2.18x + 2.39
Step-by-step explanation:
can someone help NO LINKS PLEASE or i will literally report you lol
Answer:
Rectangular Prism Volume = [tex]210cm^{3}[/tex]
Total Volume of Composite Figure = [tex]247.68cm^{3}[/tex]
from 84 books to 110 books
Good morning people PLEASE PLEASE CAN SOMEONE GIVE ME THE ANSWER TO THIS PERCENTAGE QUESTION ON MY QUIZ ASAP! :)
NO LINKS !!
Answer:
it is 75% i think
A new homeowner is purchasing a living room set for $2,975 and must decide between two financing offers.
Offer 1: $250 down payment, 24.90% interest rate, compounded monthly, for 3 years, with no payments due for 6 months and then fixed payments of $139.05 for the remainder of the loan term
Offer 2: $400 down payment, 22.90% interest rate, compounded monthly, for 3 years, with no payments due for 12 months and then fixed payments of $165.76 for the remainder of the loan term
Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points)
Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points)
Part C: Which financing offer should the new homeowner choose? Explain your reasoning. (4 points)
Answer:
To compare the two financing offers, we need to calculate the total cost of each offer.
Part A: What is the total cost of offer 1?
To calculate the total cost of offer 1, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 24.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2490/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,534.89.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,534.89 = $4,509.89.
Therefore, the total cost of offer 1 is $4,509.89.
Part B: What is the total cost of offer 2?
To calculate the total cost of offer 2, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,
To continue the calculation of the total cost of offer 2, we need to calculate the total interest using the formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,405.70.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,405.70 = $4,381.70.
Therefore, the total cost of offer 2 is $4,381.70.
Part C: Which financing offer should the new homeowner choose?
Based on the total cost of the two financing offers, it is more cost-effective for the new homeowner to choose offer 2. Offer 2 has a lower total cost ($4,381.70) compared to offer 1 ($4,509.89), so it would be the better choice for the new homeowner.
Step-by-step explanation:
Exit ticket for geometry
Answer:
y = 10
Step-by-step explanation:
given DEFG = SPQR
QR = FG
=> 2x - 4 = 12
=> 2x = 16
=> x = 8
angle PQR = EFG
=> 6y + x = 68
=> 6y + 8 = 68
=> 6y = 60
=> y = 10
If XV = 34, then HV =
No links
Answer:
17
Step-by-step explanation:
The diagonals in a parallelogram bisect each other, creating two equal halves. So HV = 1/2 of XV
HV = XV/2
HV = 34/2
HV =17
The required value of HV = 17.
From the graph
For the parallelogram XWVY
XV = diagonal of parallelogram
parallelogram is quadrilateral whose opposite side is parallel.
XV = diagonal
XV = 34
Since the diagonal of a parallelogram bisect each other.
So,
HV = XV/2
HV = 34/2
HV = 17
Thus, The required value of HV = 17.
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HELP! WILL GIVE BRAINLIEST
Answer:
Radical Approximation
of A=5√2
of B=2√13
of C is 3√7
Write an expression equivalent to e+e+e+e+e that is a sum of two terms.
Answer:
5e
5(e)
Step-by-step explanation:
please mark this answer as brainliest
Please help will mark
Answer:
this is the graph and just find the slope each equation
Can someone solve ASAP
Answer:
18.5 in=decimal feet,
Step-by-step explanation:
1)18.5/12=18.512
2)18.512=1.542 feet
what percentage is 49 of 250
Fill in the blanks to complete the equation
Answer:
1/8+1/8+1/8
Step-by-step explanation:
The denominator in the first fraction should match the others because you always need a common denominator to add or subtract. And 1+1+1 is 3.
Solve the simultaneous equations using elimination method.
4x – 3y = 1
x + 3y =
Answer:
[tex]x=\frac{1}{5}[/tex]
[tex]y = -\frac{1}{15}[/tex]
Step-by-step explanation:
4x - 3y = 1
x + 3y = 0
Req To Solve With Elimination:
Make Them Equal:
-> 4x - 3y = 1
-> 4x + 4 . 3y = 0
Simplify:
-> 4x - 3y = 1
-> 4x + 12y = 0
-> 4x - 4x - 3y - 12y = 1
-> -3y - 12y = 1
-> -15y = 1
-> [tex]y = -\frac{1}{15}[/tex]
-> [tex]x+3(-\frac{1}{15} )=0[/tex]
-> [tex]x -\frac{1}{5}=0\\[/tex]
-> [tex]x=\frac{1}{5}[/tex]
Please Mark As Brainliest
Answer:
4x – 3y = 1
x + 3y =
Adding the equations gives us:
5x =1
x = .2
since 4x - 3y = 1
then -3y -1 = -4x then we multiply by -1
3y +1 = 4x
3y = 4*.2 -1
3y = .8 -1
3y = -.2
y = -.2 / 3 = -0.066666666...
For a double check you can use Cramer's Rule
http://www.1728.org/cramer.htm
Step-by-step explanation:
Let a = (2, 1, 0), b = (3, -1, 2), c = (4, 0, 3)
Find the volume of the parallelopiped with sides a, b and c.
The volume of the parallelopiped is 14 cubic units
What is the volume of a parallelopiped?The volume of a parallelopiped with vector sides a, b and c is given by
V = (a × b).c
Given that the parallelopiped has sides
a = (2, 1, 0)b = (3, - 1, 2) and c = (4, 0, 3)So, we have that
(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k
Since
i × i = 0, j × j = 0, k × k = 0, i × j = k, j × i = -k, j × k = i, k × j = -i, k × i = j, i × k = -j,So,
(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0
= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0
= 5i -7j - 2k
= (5, -7, -2).
Since (a × b) = (5, -7, -2)
So, the volume of the parallelopiped is
V = (a × b).c
= (5, -7, -2).(4, 0, 3)
= 5 × 4 + (-7 × 0) + (-2 × 3)
= 20 - 0 - 6
= 14.
So, the volume is 14 cubic units.
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Seven less than the product of 24 and Jose’s savings
Use the variable j to represent Jose’s savings
Answer:
[tex]24j -7[/tex]
Step-by-step explanation:
Given
[tex]Savings \to[/tex] j
Required
Express 7 less than 24 * j
First, we have:
[tex]24 * j = 24j[/tex]
7 less is then expressed as:
[tex]24j -7[/tex]
Which of the following best approximates the line of best fit?
Answer:
C)
Step-by-step explanation:
The line starts at (0,0) unlike the others
The best approximates the line of best fit is shown in Option A.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
Graph of the function is shown in figure.
Now, We know that;
A best line which is fit of the graph have same distance approximately.
Hence, The best approximates the line of best fit is shown in Option A.
Because it contain all the point approximately.
Thus, The best approximates the line of best fit is shown in Option A.
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