Answer:
The three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
Step-by-step explanation:
Given,
Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9
Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal
0,1,2,3,4,5,6,7,8,9
(9,6,0) (8, 4,3), (7,5, 1,2)
Hence the three pieces will have the following set of numbers
(9,6,0) (8, 4,3), (7,5, 1,2)
In which quadrant of the coordinate plane is the point (−7,−212) located?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
Answer:
Quadrant 3
Step-by-step explanation:
Rick, Diane, and Lu are selling cookies, fruit cakes, and chocolate bars in a neighborhood snack sale. The number of cookie packs,
cakes, and chocolate bars sold by each person is given in the table.
A what prices did Rick, Diane, and Lu sell the eatables?
A)
$1.00 for a cookie pack, $2.50 for a fruit cake, and $1.50 for a chocolate bar
B)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
9
$1.00 for a cookie pack, $1.50 for a fruit cake, and $2.50 for a chocolate bar
D)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
Answer:
I think it's A
Step-by-step explanation:
but I do not know this clearly
Answer: The Answer is A.
I plugged the numbers into Excel.
Step-by-step explanation:
An elevator has a placard stating that the maximum capacity is 1600 lb�10 passengers. So, 10 adult male passengers can have a mean weight of up to 1600/10=160 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 160 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.)
1.The probability the elevator is overloaded is?
*-Please show work to help me understand-*
2. Does this elevator appear to be safe?
A.Yes, there is a good chance that 10 randomly selected people will not exceed the elevator capacity.
B. No, 10 randomly selected people will never be under the weight limit.
C.Yes, 10 randomly selected people will always be under the weight limit.
D.No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.
Answer:
1. 0.7421 = 74.21% probability the elevator is overloaded.
2. D.No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.
This means that [tex]\mu = 166, \sigma = 29[/tex]
Sample of 10.
This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]
1.The probability the elevator is overloaded is?
Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a p-value of 0.2579.
1 - 0.2579 = 0.7421
0.7421 = 74.21% probability the elevator is overloaded.
2. Does this elevator appear to be safe?
High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.
Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?
Answer: 625 steps per hour
Step-by-step explanation:
10,000/16=625
A survey showed that 40% of students would select the Ferris Wheel as their favorite ride in the amusement park. How many students out of 5,000 would you predict would prefer the Ferris Wheel?
Group of answer choices
2,400
3,000
2,000
1,250
Answer:
2000
Step-by-step explanation:
40/100 * 5000 = 2000
Right Triangles
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Find cos B.
a. cos B = 41/40
b. cos B - 9/41
c. cos B = 40/41
d. cos B = 9/40
Please select the best answer from the choices provided
Answer:
B. cos B = 9/41
Step-by-step explanation:
I calculated it logically
Answer:
b
Step-by-step explanation:
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{9}{41}[/tex] → b
The height corresponding to the longest side of the triangle whose sides are 42cm,
34cm and 20cm in length is ?
plz help me urgently
Answer:
sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points
e
Step-by-step explanation:
Answer:
ty for the points.
Step-by-step explanation:
How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?
Answer:
1,814,400
Step-by-step explanation:
the formula would be: nPr / x_1 ! x_2!....
since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:
10P10 / 2!
10P10 would simplify down to 10! so you would have :
10! / 2!
if you simplify this above: you would get 1,814,400
Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?
Answer:23.96
Step-by-step explanation:
100-90=10%
10/100=0.10
0.10(8550)=855
100-50=50%
50/100=0.50
0.50(782)=391
855+391=1246
1246/52=23.96
3. Find the value of x.
(2x-71
Answer:
33
Step-by-step explanation:
2x-7 = 73
2x = 73-7
2x = 66
x = 66÷2
x = 33
Therefore, the value of x is 33
What is the volume of a cylinder with a base area of 23 cm2 and a height of 15 cm
Answer:
V =345 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = Bh where B is the base and h is the height
V= 23 * 15
V =345 cm^3
Answer:
345cm³
Step-by-step explanation:
AB h = 23 x15
= 345cm³
Your welcome!
Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answer:
their graphed
Step-by-step explanation:
8x²y²-18
factorise in process
Answer:
u
Step-by-step explanation:
8x²y²-182(4x²y²-9)2((2xy)²-3²)2(2xy-3)(2xy+3)stay safe healthy and happy.Write the slope intercept form of this equation 7x-5y=35
whats 2 plus 7 plus 3
Answer:
Hi, there your answer will 12
2+7+3=12
Have a nice day
Step-by-step explanation:
Answer:
12Step-by-step explanation:
I added it up XD Thanks for the points.
The graph below has:
Answer:
One repetad linear
Step-by-step explanation:
i don’t know if it’s A or B
Answer:
A
Step-by-step explanation:
this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.
:)
8 times the sum of a number and 5 is 3 years the variable Y for the unknown number
Answer:
8(y+ 5) =3
Step-by-step explanation:
Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.
Answer:
Not correct
Step-by-step explanation:
Given:
x² - 6x - 7 = 0
The following equation can be solved correctly by factoring Thus,
x² - x + 7x - 7 = 0
x(x - 1) +7(x - 1) = 0
(x - 1)(x + 7) = 0
(x - 1) = 0
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Or
(x + 7) = 0
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
Therefore, the solution would be x = 1 or x = -7
Lateena solution is therefore NOT CORRECT because she used a wrong method.
What is the surface area of the triangular prism? 1 5ft 3 ft 5 ft 4 ft
Answer:
134
Step-by-step explanation:
I need help graphing the right points so please send a picture of the graph also
In the xy-coordinate plane, the graph of the equation y = 3x2 - 12x – 36 has zeros
at x = a and x = b, where a
Part A: Graph the function.
Answer:
you cant send pictures unless created on a graphing website but ill try to help. you first have to simplify y, and if you could comment a clearer equation that would be nice because your equation is confusing(cant tell if its all together
find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
negative x plus 1 is less than 5
Answer:
-x+1 < 5
Step-by-step explanation:
Not sure what the question is?
Answer:
-x + 1 < 5
Step-by-step explanation:
negative x plus 1 is less than 5
-x + 1 < 5
-TheUnknownScientist
Please help
Find the Arc Length of arc b, given the radius is 5 cm.
Answer:
Arc length= 180/360 ( 2 pi × 5cm)180/360 (2 ×22/7×5cm)
18/36=1/2× 2×22/ 7 ×5cm
1×22/7×5cm
22/7×5cm
110/7
=15.715cm
A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls
Answer:
[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]
Please help me with this
Answer:
1.) The quotient of a number and 2 = x ÷ 2
2.) A number decreased by 2 = x - 2
3.) 2 times a number = 2x
4.) 2 increased by a number = 2 + x
Step-by-step explanation:
Let's look for key words hidden in these sentences:
1.) The quotient of a number and 2 = The word quotient refers to division
2.) A number decreased by 2 = The word decreased refers to subtraction
3.) 2 times a number = the word times refers to multiplication
4.) 2 increased by a number = the word increased refers to addition
Hope this helps!
Find the missing length indicated
Please help, no links
Answer:
x = 135
Step-by-step explanation:
m = length of perpendicular line to hypotenuse
81/m = m/144
m² = 81 x 144 = 11664
m =√11664 = 108
Using the Pythagorean theorem:
x² = 81² + 108² = 6561 + 11664 = 18225
x = √18225 = 135
9514 1404 393
Answer:
x = 135
Step-by-step explanation:
Side x is the geometric mean of the hypotenuse segments it touches.
x = √(81×(81+144)) = √81×√225 = 9×15
x = 135
What is the simplified expression for -3(2x-7)+2y+ 2(x+y)?
Answer:
-4x+42+4yStep-by-step explanation:
-3(2x-7) + 2y + 2 (x+y)
-6x+42 + 2y + 2x + 2y
Take the same coefficents and subtract or add
-6x + 2x= -4x
2y + 2y= 4y
∠AGB and ∠EGD are □ angles.