Answers
Answer: B. 1.414
Step-by-step explanation:
let x be the random variable denotes the number of die.
Numbers on 5-faced die = 1,2,3,4,5
Probability of getting any number = [tex]\dfrac{1}{5}[/tex]
Mean = [tex]\bar {x}=\sum p_ix_i[/tex]
[tex]\\\\\Rightarrow\bar{x}=\dfrac{1}{5}(1)+\dfrac{1}{5}(2)+\dfrac{1}{5}(3)+\dfrac{1}{5}(4)+\dfrac{1}{5}(5)\\\\=\dfrac{1}{5}(1+2+3+4+5)\\\\=\dfrac{1}{5}(15)=3[/tex]
Standard deviation: [tex]\sigma=\sum \sqrt{\dfrac{(x_i-\bar{x})^2}{N}}[/tex]
[tex]=\sqrt{\dfrac{(1-3)^2+(2-3)^2+(3-3)^2+(4-3)^2+(5-3)^2}{5}}\\\\=\sqrt{\dfrac{4+1+0+1+4}{5}}\\\\=\sqrt{\dfrac{10}{5}}\\\\=\sqrt{2}\approx1.414[/tex]
Hence, the standard deviation of the random variable x is 1.414.
Thus, the correct option is B.
Related Questions
I can't solve this problem, can anyone help me?
Answers
Answer:
x < 5
Step-by-step explanation:
The total amount is 595$ and the amount Helena want to leave for equipement is 420$
595-420 = 175The amount helena can use is 175$
each ticket costs 35$
175/35 = 5so Helena can oly buy 5 tickets or less
x < 5 with x the number of tickets
A 4 foot wide painting should be centered on a 14 foot wide wall. How many feet (x) should be on each side of the painting?
Answers
Answer:
5 feet
Step-by-step explanation:
To find x, we can write:
x + 4 + x = 14
2x + 4 = 14
2x = 10
x = 5 feet
6th grade math , help me please :)
Answers
Answer:
A. Eric rode 2 more miles per week than Kim rode
Step-by-step explanation:
Number of miles Kim rode bicycle in 9 weeks = 135 miles
Let x be the number of miles per week.
135miles => 9 weeks
x miles => 1 week
[tex] x = \frac{135}{9} [/tex]
[tex] x = 15 [/tex]
Kim rode the bicycle 15 miles per week
Number of miles Eric rode bicycle in 6 weeks = 102 miles
Let x be the number of miles per week Eric rides the bicycle.
102 miles => 6 weeks
x miles => 1 week
[tex] x = \frac{102}{6} [/tex]
[tex] x = 17 [/tex]
Kim rode the bicycle 17 miles per week
Comparing the number of miles per week they rode, we would conclude that: "Eric rode 2 more miles per week than Kim rode".
Dylan open a credit card account with $725 of available credit now that he has made some purchases Dillons account has only $442.25 of available credit what is the percentage decrease of the amount of available credit and Dillons account?
Answers
Answer:
1,000 i believe its that
Step-by-step explanation:
I NEED HELP ASAP!!!!!!! Find 2 numbers that multiply to make -24 and add to make -10
Answers
Answer:
Step-by-step explanation:
-8*3= -24+14=-10
Answer:
-12 and 2.
Step-by-step explanation:
-12*2= -24,
-12+2=-10
Souter easy please help. :D
Answers
Answer:
[tex]\large \boxed{\sf \ \ \ 49 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
(fog)(1)=f(g(1))
and
g(1)=-3
so
(fog)(1)
= f(-3)
= 5 *9 - (-3) + 1
= 45 + 3 + 1
= 49
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Let P be the set of people we're interested in (not necessarily all people), Parent(p) mean p is a parent, and ParentOf(p1, p2) mean p1 is p2's parent. Consider the following statement: ∀x ∈ P, ∃y ∈ P, Parent(x) → ParentOf(x, y) If you were attempting to prove this statement via the challenge method, how would the "game" proceed? (An "adversary" is an opponent.) Group of answer choices If I can choose an x so that my adversary cannot choose a y that makes the statement false, then the statement is true. Otherwise, it's false. If I can choose an x and a y that make the statement true, then the statement is true. Otherwise, it's false. If my adversary cannot choose an x and a y that makes the statement false, then the statement is true. Otherwise, it's false. If no matter what choice of x my adversary makes, I can choose a y that makes the statement true, then the statement is true. Otherwise, it's false. None of these is correctly describes the process, but there is a correct process. None of these is correctly describes the process, and there is no correct process to prove this statement via the challenge method.
Answers
Answer:
If no matter what choice of x my adversary makes, I can choose a y that makes the statement true, then the statement is true. Otherwise, it's false.
Step-by-step explanation:
According to the given situation, as we can see that the we cant find the y for the x i.e given that shows Parent (x) represented as Parent Of (x,y)
In mathematically,
Parent (x) = Parent (x,y)
This does not seems true
Therefore this statement is false
Hence, the fourth option is true
All other statements that are mentioned is false
Suppose that you have $100. You have two options for investing your money.
Option 1: Increase by $10 each year
Year
Amount
1
100
110
Type:
a =
b =
Answers
Answer:
Option One:
type : linear growth
a : 120
b : 130
Option 2:
type: linear growth
d : 121
e : 133
Step-by-step explanation:
its right on EDG 2020
Option One:
type: linear growth
a: 120
b: 130
Option 2:
type: linear growth
d: 121
e: 133
What is linear and exponential growth?Linear growth occurs with the aid of including an equal amount in each unit of time. An exponential increase happens while a preliminary population will increase by the same percent or issue over the same time increments or generations.
What is the distinction between linear and exponential?Linear and exponential relationships vary within the way the y-values change whilst the x-values increase with the aid of a steady quantity: In linear dating, the y-values have identical variations. In an exponential relationship, the y-values have identical ratios.
Learn more about Linear growth here: brainly.com/question/4025726
#SPJ2
Please find the surface area of the cone (image attached) and reduce answer to nearest tenth, if necessary.
Answers
Answer:
[tex] S.A = 135.6 yd^2 [/tex] (
Step-by-step explanation:
Surface area of cone is given as:
Surface Area (S.A) = πr(r + l)
Where,
[tex] r = radius = 3 yd [/tex]
[tex] l = slant height = 11.4 yd [/tex]
Take π as 3.14
Plug the given values into the formula to find the surface area.
[tex] S.A = 3.14*3(3 + 11.4) [/tex]
[tex] S.A = 9.42(14.4) [/tex]
[tex] S.A = 135.6 yd^2 [/tex] (rounded to the nearest tenth)
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only $3 . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get an orange and not get juice in your box?
Answers
Answer:
Step-by-step explanation:
Given that sandwiches are made with either turkey or ham.
Prob for turkey or ham = 1/2
The fruit can be either apple or orange. Hence p(apple) = p(orange) =12
Drinks can be either bottled water or juice
P(water) = P(juice) = 1/2
We find that sandwiches, fruits, and drinks are mutually independent of each other.
Hence the probability you will get an orange and not get juice in your box
Prob (you get an orange and bottled water)
= Prob (orange) *Prob (bottled water) (since the two are independent
= 1/2 (1/2)= 1/4
Hence answer is 0.25
Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.10 significance level to test that claim.
A. What is the test statistic for the hypothesis test?
B. What is the p value?
C. Reject/fail to reject sufficient evidence.
Answers
Answer:
We conclude that the percentage of blue candies is equal to 29%.
Step-by-step explanation:
We are given that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%.
Let p = population percentage of blue candies
So, Null Hypothesis, [tex]H_0[/tex] : p = 29% {means that the percentage of blue candies is equal to 29%}
Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 29% {means that the percentage of blue candies is different from 29%}
The test statistics that will be used here is One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of blue coloured candies = 28%
n = sample of colored candies = 100
So, the test statistics = [tex]\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }[/tex]
= -0.22
The value of the z-test statistics is -0.22.
Also, the P-value of the test statistics is given by;
P-value = P(Z < -0.22) = 1 - P(Z [tex]\leq[/tex] 0.22)
= 1 - 0.5871 = 0.4129
Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the percentage of blue candies is equal to 29%.
plzzz helppppppp 18-5z+6z>3+6
Answers
Answer:
z > -9
Step-by-step explanation:
Combine like factors.
18 - 5z + 6z > 3 + 6
18 - 5z + 6z > 9
18 + z > 9
Solve for z.
18 + z > 9
(18 + z) - 18 > 9 - 18
z > -9
ANZ Corporation manufactures a product available in two models: ABC, and PQR. Despite the growing popularity of the PQR model, company profits have been declining steadily, and management is beginning to think there might be a problem with their costing system. Material and Labour costs are given below:
ABC PQR
Sales demand 30000 15000
Direct material cost/unit $45 $60
Direct labour cost/unit $30 $40
Production overheads are $600,000 each month.
These are absorbed on a sales demand basis.
Calculate the full production costs for ABC and PQR, using traditional costing method
Answers
Answer:
The full production costs are:
ABC = $22,900,000
PQR = $1,700,000
Step-by-step explanation:
Traditional costing method is a costing method that allocates or applies overhead based on a particular metric determined by a company. It therefore add both direct cost of production and production overheads absorbed to obtain the full cost of production.
Since production overheads in this question is absorbed on demand sales basis, the full production costs for ABC and PQR can be computed as follows:
ANZ Corporation
Computation of Full Production Costs
Particulars ABC PQR
Sales demand 30,000 15,000
Cost $ $
Direct cost:
Direct materials cost (w.1) 1,350,000 900,000
Direct labor cost (w.2) 900,000 600,000
Total direct cost 22,500,000 1,500,000
Indirect cost:
Production overhead (w.3) 400,000 200,000
Full production cost 22,900,000 1,700,000
Workings:
w.1: Computation of direct material cost
Direct material cost = Direct material cost per unit * Sales demand
Therefore;
ABC Direct material cost = $45 * 30,000 = $1,350,000
PQR Direct material cost = $60 * 15,000 = $900,000
w.2: Computation of direct labor cost
Direct labor cost = Direct labor cost per unit * Sales demand
Therefore;
ABC Direct material cost = $30 * 30,000 = $900,000
PQR Direct material cost = $40 * 15,000 = $600,000
w.3: Allocation of production overhead
Production overheads allocated to a model = Production overheads * (Model's Sales Demand / Total Sales demand)
Total Sales demand = 30,000 + 15,000 = 45,000
Therefore, we have:
Production overhead allocated to ABC = $600,000 * (30,000 / 45,000) = $400,000
Production overhead allocated to PQR = $600,000 * (15,000 / 45,000) = $200,000
Question 2 of 6
2 Points
The word problem below has too much information. Which facts are not
needed to solve the problem? Check all that apply.
On Tuesday, the wait to ride the roller coaster was 40 minutes. The roller
coaster is the fastest ride at the fair. The line of people waiting was 100
meters long. How long would you expect to wait if the line was 50 meters
long?
A. The wait to ride the roller coaster was 40 minutes.
B. The line of people was 100 meters long.
C. The roller coaster is the fastest ride at the fair.
D. It was Tuesday.
R
SUBMIT
fPREVIOUS
Answers
Answer:
C. and D.
Step-by-step explanation:
In the word problem, the two facts to solve the problem are:
A. The wait to ride the roller coaster was 40 minutes and
B. The line of people was 100 meters long
Because the length of waiters has an effect on the time. Thus, if the line is reduced to 50 meters, then the waiting time would reduce i.e 20 minutes.
Therefore, the facts that are not required to solve the word problem are:
C. The roller coaster is the fastest ride at the fair.
D. It was Tuesday.
The radius of a sphere is measured to be 3.0 inches. If the measurement is correct within 0.01 inches, use differentials to estimate the error in the volume of sphere.
Answers
Answer:
ΔV = 0.36π in³
Step-by-step explanation:
Given that:
The radius of a sphere = 3.0
If the measurement is correct within 0.01 inches
i.e the change in the radius Δr = 0.01
The objective is to use differentials to estimate the error in the volume of sphere.
We all know that the volume of a sphere
[tex]V = \dfrac{4}{3} \pi r^3[/tex]
The differential of V with respect to r is:
[tex]\dfrac{dV}{dr }= 4 \pi r^2[/tex]
dV = 4 πr² dr
which can be re-written as:
ΔV = 4 πr² Δr
ΔV = 4 × π × (3)² × 0.01
ΔV = 0.36π in³
What is the value of the rate of change when we put a glass of water at room temperature in the freezer for 15 minutes, what is its temperature at 5 minutes and then at 10 minutes
Answers
Answer:
Step-by-step explanation:
I do not understand your question very well but I think that the state of the glass of the water would be liquid and solid at the same time since the water would not freeze 100% and would be with small pieces of solid and some parts liquid, in terms of temperature, I think that at 5 minutes it would be 5 ° C and at 10 it would be 3-4 ° C the longer it is in the freezer the less its temperature will be
(All of that is my point of view)
Average temperature 30 °
So :
30 ÷ 15 = 2 °
30 ÷ 10 = 3 °
30 ÷ 5 = 6 °
which point is a solution tot eh linear inequality y < -1/2x + 2?
(2,3)
(2,1)
(3,-2)
(-1,3)
Answers
Answer:
Step-by-step explanation:
(3,-2)
plug in 3 for x and -2 for y
-2< -1/2x3+2
-2<-1.5+2
-2<0.5
The owner of a shoe store wanted to determine whether the average customer bought more than $100 worth of shoes. She randomly selected 10 receipts and identified the total spent by each customer. The totals (rounded to the nearest dollar) are given below.
Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether the mean is greater than $100 and then draw a conclusion in the context of the problem. Use α=0.05.
125 99 219 65 109 89 79 119 95 135
Select the correct answer below:
A) Reject the null hypothesis. There is sufficient evidence to conclude that the mean is greater than $100.
B) Reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than $100.
C) Fail to reject the null hypothesis. There is sufficient evidence to conclude that the mean is greater than $100.
D) Fail to reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than $100.
Answers
Answer:
D) Fail to reject the null hypothesis. There is insufficient evidence to conclude that the mean is greater than $100.
Step-by-step explanation:
We are given that the owner of a shoe store randomly selected 10 receipts and identified the total spent by each customer. The totals (rounded to the nearest dollar) are given below;
X: 125, 99, 219, 65, 109, 89, 79, 119, 95, 135.
Let [tex]\mu[/tex] = average customer bought worth of shoes.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \leq[/tex] $100 {means that the mean is smaller than or equal to $100}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > $100 {means that the mean is greater than $100}
The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = $113.4
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex] = $42.78
n = sample of receipts = 10
So, the test statistics = [tex]\frac{113.4-100}{\frac{42.78}{\sqrt{10} } }[/tex] ~ [tex]t_9[/tex]
= 0.991
The value of t-test statistics is 0.991.
Now, at a 0.05 level of significance, the t table gives a critical value of 1.833 at 9 degrees of freedom for the right-tailed test.
Since the value of our test statistics is less than the critical value of t as 0.991 < 1.833, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the mean is smaller than or equal to $100.
Solve the system of linear equations and check any solutions algebraically.
Answers
Answer:
[tex]\boxed{\sf \ \ x = 9, \ y = -5, \ z = 5 \ \ }[/tex]
Step-by-step explanation:
Hello,
(1) 2x + 4y + z = 3
(2) x - 2y - 3z = 4
(3) x + y - z = -1
From (3) we can write z = x + y + 1 and we replace in (1)
2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2
(1') 3x + 5y = 2
and we replace in (2)
x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7
(2') -2x - 5y = 7
(1') + (2') gives
3x - 2x + 5y - 5y = 2 + 7 = 9
x = 9
we replace in (1')
3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5
y = -5
and then in (3)
9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5
z = 5
hope this helps
Answer:
work is shown and pictured
6th grade math help me, please :))
Answers
Answer:
[tex]\sf a) \ 2.5\\b) \ 7.5[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{250}{100}[/tex]
[tex]\sf Express \ as \ a \ decimal.[/tex]
[tex]=2.5[/tex]
[tex]\sf Multiply \ 3\% \ with \ 250.[/tex]
[tex]\displaystyle 250 \times \frac{3}{100}[/tex]
[tex]\displaystyle \frac{750}{100}=7.5[/tex]
How many solutions does the following equation have? −4(x+5)=−4x−20
Answers
Answer:
Infinite Solution!
Step-by-step explanation:
First, We simplify the right side.
Distribute -4, -4x-20=-4x-20
Now we add +4x to both sides, now the equation stands as -20=-20
We know when the solution is same #= same #. We have infinite solution!
The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area and the perimeter of the shape?
Answers
Answer:
area: 7 units²perimeter: 14 unitsStep-by-step explanation:
You can count the unit squares to find the area. There are 7 of them, so the area is 7 square units.
__
There are 4 unit lengths along the bottom perimeter, 3 up each side (for a total of 6), and 4 more unit lengths across the tops of the squares in the figure. The perimeter is a total of 4+6+4 = 14 units.
The population of fruit flies in a laboratory grows geometrically and is checked everyday at noon. If the population began with 80 fruit flies and reached 125 in two days, what is the population after 4 days?
Answers
Answer:
[tex]\boxed{195}[/tex]
Step-by-step explanation:
The fruit flies grows geometrically.
[tex]125=80k^2[/tex]
Find the value of k.
[tex]\sqrt{\frac{125}{80} } =k[/tex]
[tex]1.25=k[/tex]
[tex]P=80(1.25)^t[/tex]
[tex]t[/tex] is number of days.
[tex]P=80(1.25)^4[/tex]
[tex]P=195[/tex]
Which graph shows the solution to the system of linear inequalities?
y > Two-thirdsx + 3
y ≤ Negative one-thirdx + 2
Mark this and return
Answers
Answer:
its b i got it right on edge
Step-by-step explanation:
Please Help
Show Work
Answers
Answer:
[tex]m<7[/tex]
Step-by-step explanation:
We can solve this inequality by isolating the variable [tex]m[/tex].
To do this, we subtract 8 from both sides of the equation.
[tex]15-8 > m+8-8[/tex]
[tex]7>m[/tex]
I always like formatting by inequalities with the variable on the left, so we just reverse the numbers and the sign.
[tex]m<7[/tex]
Hope this helped!
Answer:
Hey there!
15>m+8
15-8>m
7>m
m<7
Hope this helps :)
What is the length of leg s in the right triangle shown?
A.
B.
2
C.
D.
5
Answers
Answer:
5 units
Step-by-step explanation:
we can identify this as an isosceles triangle because both angles are equal (= 45 deg). Hence we can also conclude that the vertical leg of the triangle must also be "s"
We an also identify this as a right triangle because we have one angle that is 90 degrees. Hence we can use the Pythagorean formula to solve this (see attached for reference)
(5√2 )² = S² + S²
(5)²(√2 )² = 2S²
(25)(2) = 2S²
25 = S²
S = √25
S = 5 units
The length of leg s in the right triangle is 5 units. Therefore, the correct answer is option D.
In the given isosceles right triangle, hypotenuse is 5√2.
We know that, sinθ=Opposite/Hypotenuse
sin45°=s/5√2
1/√2 = s/5√2
1 = s/5
s = 5
Therefore, the correct answer is option D.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
Most states categorize possession of cocaine charges by weight. Possessing less than a gram will result in the lowest level of felony. From there, the weight categories are broken into degrees. The higher the weight, the higher degree of felony charged. New York State uses the measures given in the table below to charge a suspect.Amount Charge
Over ⅛ oz. Class C felony
Over ½ oz. Class B felony
Over 2 oz. Class A-II felony
Over 4 oz. Class A-I felony
If a suspect is in possession of .06 kilograms of cocaine how many ounces does he possess? What will be the charge?
Answers
Answer:
Over 2 oz. Class A-II felony
Step-by-step explanation:
One would need to carefully weigh the material.*
0.06 kg ≈ 2.12 oz
Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.
__
If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.
_____
* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.
Please answer in the form of an angle or degree
Answers
Step-by-step explanation:
angle A = angle B( Corresponding angles)
so,
5x - 5 = 3x + 13
=> 5x - 3x = 13 + 5
=> 2x = 18
=> x = 9
angle B = 3x + 13 = (3×9) + 13 = 27 + 13 = 40
Answer:
x=9, ∠B=40
Step-by-step explanation:
In this case, ∠A≅∠B, as they are corresponding angles. Therefore, if you set up the equation to be 5x-5=3x+13,
2x=18, x=9
∠B=3(9)+13=27+13=40
What Is The Prime Factor Of 4275 ?
Answers
Answer:
[tex]5^2[/tex]·[tex]3^2[/tex]·[tex]19[/tex]
Step-by-step explanation:
Well to find the prime factor we make the prime factorization tree.
Look at the image below↓
Thus,
the prime factorization of 4275 is [tex]5^2[/tex]·[tex]3^2[/tex]·[tex]19[/tex]
Hope this helps :)
Help thanks !!!!!!!!!!!!!
Answers
Answer:
5:2
Step-by-step explanation:
There are 5 apples and 2 cherries. Put them together to get 5:2.
5:2