Answer:
7
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(x;μ) = (e^(-μ)) × (μ^(x))/x!
We are told that the grocer sells three of a certain article per week. Thus;
μ = 3
Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.
This means;
P(X > k) < 0.01
This can be rewritten as;
P(X ≤ k) < 0.99
Let's try x = 8
P(8;3) = (e^(-3)) × (3^(8))/8!
P(8;3) = 0.008
But; P(X ≤ 8) = 1 - 0.008 = 0.992
This is more than 0.99 and thus is not the answer
Let's try x = 7
P(7;3) = (e^(-3)) × (3^(7))/7!
P(7;3) = 0.022
But; P(X ≤ 7) = 1 - 0.022 = 0.978
Thus is less than 0.99.
Thus, stock should be 7
The following are questions from a self-quiz.
According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.
a) The probability that the person is between 160 and 170 centimeters is
b) The probability that the person is higher than 190 centimeter is
Please state how you determined the probability from the standard normal table.
Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor informs patients of a new medication and asks if they want to participate; 30 patients who are currently taking medication for cholesterol volunteer to be part of the study. She uses random assignment of the 30 patients to two treatment groups: one that uses the new medication, and one that uses the original medication. Which of the following describes the benefit of random assignment?
The variability between the medications would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would more likely be due to the subjects.
The variability between the medications would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would be guaranteed to be due to the subjects.
The variability between the subjects would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would more likely be due to the new medication.
The variability between the subjects would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would be guaranteed to be due to the new medication.
Answer:
The variability between the subjects would be evenly distributed between the two groups, so any observed differences in the cholesterol level between the two groups would more likely be due to the new medication.
Step-by-step explanation:
Edge 2020/2021
Answer:
c
Step-by-step explanation:
edge
Choose the best graph that represents the linear equation: 3y + 9x = 21
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answer:
c. Graph C
I hope this helps!
The ratio of orange juice concentrate to water that Zoe used to make orange juice yesterday was 3 : 7. She used 14 ounces of water in the juice yesterday. Today she wants to make twice as much orange juice. Is the relationship between the amount of orange juice concentrate c and the amount of water a proportional? Explain.
Answer:
14
Step-by-step explanation:
whats 5.267 X N = 526.7
Answer:
N=100
Step-by step explanation
Count how many times the decimal gets moved to the right in this case it moved to the hundredths place therefore the answer is 100
4;
Mark wants to fence 4 rectangular gardens, each with a length of4 feet and a width of 2 feet. What is the total length of fencing Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing.
Answer:
48 ft
Step-by-step explanation:
perimeter of rectangular garden=2(l+b)
=2(4+2) = 12ft
for such 4 gardens = 12×4
=48ft of fencing needed
Answer:
length of rectangular garden =4feet
width =2feet
perimeter of rectangular garden=2(l+b)
=2(4+2)
=2*6
=12
total fencing needs for 4 rectangular gardens=
=12*4= 48feet
Step-by-step explanation:
hope my answer is helpful to you
The ratio of Val's savings to Dan is 2:3 at first. After Dan spent P3000.00, Val's saving became 11/3 more of that Dan's remaining savings. What is the total amount of saving the two had at first
Answer:
P.7500.00
Step-by-step explanation:
We are told that:
The ratio of Val's savings to Dan is 2:3 at first.
Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.
Let's say the total amount of savings they had at first was x.
Thus;
Val had: 2x/5
Dan had: 3x/5
Now, Dan spent P3000.00.
So amount Dan has left = (3x/5) - 3000
We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings
Thus; 2x/5 = (4/3)((3x/5) - 3000)
2x/5 = 12x/15 - 4000
Multiply through by 15 to get;
6x = 12x - (3000 × 15)
6x = 12x - 45000
Rearranging, we have;
12x - 6x = 45000
6x = 45000
x = 45000/6
x = P.7500
The total amount of saving the two had at first is P7500 and this can be determined by using the arithmetic operations and given data.
Given :
The ratio of Val's savings to Dan is 2:3 at first.After Dan spent P3000.00, Val's saving became 4/3 more of that Dan's remaining savings.Given that the ratio of Val's savings to Dan is 2:3 at first. Now, assume that the total amount of savings they had at first was x. So:
Val's had - 2x/5
Dan's had - 3x/5
Now, it is also given that Dan's spent P3000. So, the amount left is:
[tex]\rm =\dfrac{2x}{5}-3000[/tex]
It is given that Val's saving became 4/3 more of that Dan's remaining savings. That is:
[tex]\dfrac{2x}{5} = \dfrac{4}{3} \times\left( \dfrac{3x}{5}-3000 \right)[/tex]
[tex]\dfrac{6x}{20} = \dfrac{3x}{5}-6000[/tex]
[tex]x = \dfrac{45000}{6}[/tex]
x = P.7500
The total amount of saving the two had at first is P7500.
For more information, refer to the link given below:
https://brainly.com/question/13101306
James Works in a flower shop. He will put 36 tulips in vases for a wedding. He must use the same number of tulips in each vase.How many tulips could be in each vase ?
Answer:
1,2,3,4,6,9,12,18,36
Step-by-step explanation:
The slope of the line below is -5. Which of the following is the point-slope
form of the line?
A. y-8=-5(x+2)
B. y+8=-5(x-2)
C.y+8=5(x-2)
D.y-8=5(x+2)
Answer:
It Is A.y-8=-5(x+2)
Step-by-step explanation:
How many significant digits are in: 0.07008?
For f(x) = 2 – 3x2, evaluate f(0.6).
Answer:
f(0.6) = 0.92
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2 - 3x²
f(0.6) is x = 0.6
Step 2: Evaluate
Substitute in x: f(0.6) = 2 - 3(0.6)²Exponents: f(0.6) = 2 - 3(0.36)Multiply: f(0.6) = 2 - 1.08Subtract: f(0.6) = 0.92is this correct pls help!
Answer:yes
Step-by-step explanation:
Write 56/90 as a fraction?
Answer:
By writing as a fraction, I am taking you mean to SIMPLIFY IT.
Step-by-step explanation:
As a fraction, 56/90 is 28/45
The number that divides 56 and 90 exactly is 2
56/2=28
90/2=45
So therefore, the answer is 28/45
A MOVIE THEATRE HAS TWO ROOMS. ROOM A HAS 9 ROWS WITH 18 SEATS IN EACH ROW. ROW B HAS THREE TIMES AS MANY SEATS AS ROOM A. HOW MANY SEATS ARE THERE IS BOTH ROOMS?
When an item worth more than 15,000 is given to someone, what is this tax called?
sales
gift
estate
present
Answer:
B. Gift
Step-by-step explanation:
Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.
A gift tax can be defined as a type of tax that is imposed or levied on property or money that is being transferred (given) as a gift from one person to another. Thus, in this type of scenario, there are no financial incentives or compensation for this items being gifted.
Basically, the annual gift tax exemption or exclusion for this year is $15,000 per recipient.
Hence, when an item worth more than 15,000 is given to someone, this tax is called gift tax.
HELP PLZ.
will give brainliest
Answer:
D
Step-by-step explanation:
Anyone can help me out with this please
Answer:
the first one, the fourth one, and the last/fifth one
Step-by-step explanation:
I believe that you were technically supposed to put the variables and numbers in, but it's easier if you just use Desmos :)
Answer:
a d e
Step-by-step explanation:
everything In red is correct
On a hike, Twyla traveled from an altitude of 527 meters to an altitude of 487 meters. Which statement uses absolute value correctly? *
Answer:
Difference, D = 40
Step-by-step explanation:
This question requires options. Since there's none, I'll answer generally.
Represent the distances with d1 and d2
d1 = 527 Meters
d2 = 487 Meters
Required
Determine the absolute difference
The absolute difference (D) of the given distances can be calculated using the following expression
D = |d1 - d2|
Substitute values for d1 and d2
D = |527−487|
D =|40|
D = 40
Hence, Twyla traveled 40 meters.
Y= 1/3x-1
Y=-3x-1
Y=3x-1
Y=1/3x+1
Answer:
y=3x-1
Step-by-step explanation:
What is 65 percent of 30,000?
Answer:
19500
Step-by-step explanation:
please help me with this
Help Me Plz!!!!!!!!!!!!!
Answer:
[tex] a = 6\sqrt 3,\:\:b =12,\:\:c=6\sqrt 2[/tex]
Step-by-step explanation:
[tex]by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\ \\ 6 = \frac{1}{2} b\\ \\ 6 \times 2 = b \\ \\ 12 = b \\ \\ \huge\red {\boxed {b= 12}} \\ \\ a = \frac{ \sqrt{3} }{2} b \\ \\ a = \frac{ \sqrt{3} }{2} \times 12 \\ \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\ \\ c = \frac{1}{ \sqrt{2} } b \\ \\ c = \frac{1}{ \sqrt{2} } \times 12 \\ \\ c = \frac{ \sqrt{2} }{2} \times 12 \\ \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\ \\ [/tex]
Need the answer to this thank you!
Answer:
n = 4
Step-by-step explanation:
Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)
a1 = -70
d = -10
an = -100
Do all of the steps and plug all the numbers with the formula.
So -100 = -70 - 10(n - 1)
-100 = -70 - 10n + 10
-100 = -60 - 10n
-100 + 60 = -40
-40 = -10n
-40/-10n = -10n/10
n = 4
So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!
Tyson's math class has 12 boys and 8 girls. What is the ratio of boys to girls
Part 2: PLEASE HELP!!
Answer:
Nonlinear function
Step-by-step explanation:
It is visual that the graphed function is not linear
................................
Nonlinear function
..................................
Which is true about the functional relationship shown in the graph?
A. The shipping cost is a function of the weight of the package.
B. The weight of the package is a function of the number of packages.
C. The shipping cost is a function of the number of packages.
D. The weight of the package is a function of the shipping cost
Answer:
A. The shipping cost is a function of the weight of the package.
Step-by-step explanation:
the input value x and the output value y, and y is a function of x
Answer:
j
Step-by-step explanation:
Slope 8 ; through (4,3)
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
What is 2(-9x-4y-7) simplified
Round 27,141 to the nearest ten
What Does an E at the End of a Number Mean?
in a calculator
Answer:
Exponent
Step-by-step explanation:
Answer:
exponent
Step-by-step explanation: