Answer:
Pencils = 325 ; Pens = 975 ; Markers = 650
Step-by-step explanation:
Let :
Number of Pencils = x
Number of pens = y
Number of markers = z
2 times as many markers as pencils
z = 2x
3 times as many pens as pencils
y = 3x
x + y + z = 1950
Write z and y in terms of x in the equation :
x + 3x + 2x = 1950
6x = 1950
Divide both sides by 6
6x / 6 = 1950 / 6
x = 325
Number of pencils = 325
Pens = 3 * 325 = 975
Markers = 2 * 325 = 650
Pencils = 325 ; Pens = 975 ; Markers = 650
PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
9514 1404 393
Answer:
TrueTrueStep-by-step explanation:
The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.
Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.
AB ║ A'B' — True
AD ≅ A'D' — True
_____
You can see these relationships in the attached figure.
A small manufacturing company recently instituted Six Sigma training for its employees. Two methods of training were offered: online and traditional classroom. Management was interested in whether the division in which employees worked affected their choice of method. Below is a table summarizing the data.
Sales Quality Operations Total
Traditional 16 10 8 34
Online 35 23 44 102
Total 51 33 52 136
Required:
a. What is the probability that an employee chose online training?
b. What is the probability that an employee is in the Quality division and chose online training?
c. What is the probability that an employee chose online training given that he/she is in the Sales division?
Answer:
(a) [tex]P(Online\ Training) = 0.750[/tex]
(b) [tex]Pr = 0.169[/tex] --- Quality Division and Online Training
(c) [tex]P(A\ |\ B) = 0.686[/tex] --- Online Training given Sales Division
Step-by-step explanation:
Given
The two-way table
Solving (a): P(Online Training)
The total employee is:
[tex]Total = 136[/tex]
The employees for online training is:
[tex]Online\ Training = 102[/tex]
So, the probability is:
[tex]P(Online\ Training) = \frac{102}{136}[/tex]
[tex]P(Online\ Training) = 0.750[/tex]
Solving (b): P(Quality Division and Online Training)
The number of employees that choose quality Division and online training is 23
So, the probability is:
[tex]Pr = \frac{23}{136}[/tex]
[tex]Pr = 0.169[/tex]
Solving (c): P(Online Training | Sales Division)
This is calculated as:
Let:
[tex]A \to[/tex] Online training
[tex]B \to[/tex] Sales division
So, we have:
[tex]P(A\ |\ B) = \frac{n(A\ n\ B)}{n(B)}[/tex]
From the table:
[tex]n(A\ n\ B) =35[/tex]
[tex]n(B) = 16 + 35 = 51[/tex]
So, the probability is:
[tex]P(A\ |\ B) = \frac{35}{51}[/tex]
[tex]P(A\ |\ B) = 0.686[/tex]
Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)
Answer:
x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)
Step-by-step explanation:
Given the function y = 7x + 3
The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:
0 = 7x + 3
7x + 3 = 0
7x = -3
x = -3/7
Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:
y = 7(0) + 3
y = 0 + 3
y = 3
Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)
A spinner is divided into 6 equal parts. These sections are labeled with a number 1, one section has a 2, one section has a 3, and one section has a 4. If the spinner is spun two times, what is the probability it will land on both 2 sides?
Answer:
[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One of the six sides is 2:
This means that [tex]p = \frac{1}{6}[/tex]
If the spinner is spun two times, what is the probability it will land on both 2 sides?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]
[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.
Which equation is represented by the graph below? choices in picture
Answer:
y=2x+4
this the right answer
Answer:
[tex]y = -\frac{1}{2}x + 2[/tex]
Based on the information in table 3, how many females from a randomly selected population of 100,000 females live to the age of 38?
Answer:
According to the table, 97,825 females from a randomly selected population of 100,000 females live to the age of 38.
Step-by-step explanation:
Answer:
See image
Step-by-step explanation:
Plato
Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515
Answer: 5
Step-by-step explanation:
Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.
The composition of a US dollar bill is 3/4 cotton and 1/4 linen. What percent of a dollar bill is cotton?
Answer:
75% cotton
Step-by-step explanation:
3/4=75%
1/4=25%
total 100%
5.For the function define by :
Please help
Answer:
Step-by-step explanation:
The breaking point for the graph (if there was one), is one. That means at one the function you use changes.
It goes from x^2 to 2x + 1
Answer A
Here's the catch. Where is 0? Zero is less than one. So what do you use? The answer is that f(x) = x^2
Answer B
if f(x) = x^2 then wherever you see an x, you put in 0.
f(x) = x^2
f(0) = 0^2
You could multiply 0 by itself a million times and it would still get 0.
f(0) = 0
A researcher considers two methods for collecting data to determine if store-brand laundry detergents work as well as name-brand detergents.
Method 1: The researcher surveys shoppers as they enter a grocery store. The shoppers are asked which type of detergent they use and then rate the cleanliness of their laundry on a scale from 1 to 10 (with 10 being the cleanest). The ratings of the name-brand detergents are compared to the ratings of the store-brand detergent.
Method 2: The researcher creates 10 loads of soiled fabrics and washes 5 of the loads with name-brand detergent and the other 5 with store-brand detergent. Volunteers are asked to assess the cleanliness of the fabrics using a scale from 1 to 10 (with 10 being the cleanest), and the ratings of the name-brand detergents are compared to the ratings of the store-brand detergent.
Which method describes an observational study?
Method 2 is an observational study because volunteers assess the fabrics.
Method 1 is an observational study because many people can be surveyed.
Method 1 is an observational study because no attempt is made to influence results.
Both methods are observational studies because information on both types of detergent can be collected.
Not A.
Answer:
C. Method 1 is an observational study because no attempt is made to influence results.
Step-by-step explanation:
Based on the descriptions provided: Method 1 is an observational study because no attempt is made to influence the results. Option 3 is the correct answer.
An observational study is a type of study where researchers observe and collect data without actively intervening or manipulating any variables.
Method 1 involves surveying shoppers and asking them about their detergent use and laundry cleanliness ratings. The researcher is merely collecting data without intervening or manipulating any variables. The study relies on the natural behavior of shoppers and their responses.
Method 2, on the other hand, involves actively creating soiled fabrics and washing them with different detergents. This intervention introduces an element of manipulation, making it more of an experimental study than an observational one.
To know more about observational study :
https://brainly.com/question/29141360
#SPJ3
Which function is represented by the table of values below?
Answer:
A. y = -x + 1
Step-by-step explanation:
The function can be represented in the slope-intercept form such as y = mx + b
m = slope = change in y/change in x
b = y-intercept = the starting value or the value of y when x is 0.
✔️Find slope (m) using two pair of values from the table, say (0, 1) and (1, 0):
Slope (m) = (0 - 1)/(1 - 0) = -1/1
Slope (m) = -1
✔️ y-intercept (b) = 1 (y = 1 when x is 0)
✔️Write the equation by substituting m = -1 and b = 1 into y = mx + b:
y = -1(x) + (1)
y = -x + 1
f(x) = V2x
g(x) = V18x
Find (f .g)(x). Assume x2 0.
Answer:
fog(x) is D = 6[tex]\sqrt{x}[/tex]
Step-by-step explanation:
I. square all value, so f(x) is 2x then g(x) is 18x
II. Replace x.value in f(x) with g(x).value = 2(18x)
III. If x is 1, 2(18*1) will be 36; find root, so answer is 6
If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]
Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)
s% of 1/r
PLEASE HELP!
Answer:
s/(100r)
Step-by-step explanation:
The % symbol is a shorthand way of writing /100, so ...
s% of 1/r = (s/100) × (1/r) = s/(100r)
Answer:
Solution given:
S% of 1/r=S/100*1/r=S/(100r) is a required answer.
Step-by-step explanation:
% means divide by 100.
I need help with this
Answer:
A.
Step-by-step explanation:
A for apple....
Dwuhhhhhhhhhhhhh
Isss ezeewer dan anytwing
A game is played using one die. If the dio is rolled and shows 5, the player wins $35. If the die shows any number other than 5, the player wins nothing
a. If there is a charge of $7 to play the game, what is the game's expected value
Answer:
Let random variable "x" be a count of player gain.
X-values are: 4, -1
P(x=4) = 1/6; P(x= -1) = 5/6
---------------------------------
E(x) = (1/6)(4) + (5/6)(-1)
E(x) = [4-5]/6
E(x) = -1/6 = -17 cents
=============================
Cheers,
Stan H.
Find the equation of the line that passes through (-1,2) and is perpendicular to 2y=2x−1. Leave your answer in the form y=mx+c
Answer:
y = x + 3
Step-by-step explanation:
given line in slope/intercept form:
y = x -1/2
slope of the perpendicular line = 1
equation of the line
y - 2 = x + 1
y = x + 3
Answer:
y=-x+1
Step-by-step explanation:
since the line is perpendicular to 2y=2x-1, this means that its slope with be the opposite reciprocal of the line 2y=2x-1 's slope.
first, we should find the slope of the line 2y=2x-1:
2y=2x-1
y=x-1/2
therefore, the slope of 2y=2x-1 is 1.
the opposite reciprocal of 1 is -1.
so far, we have this:
y=-x+b
to find b (the y-intercept) we can plug the point (-1,2) into the equation we have so far and solve for b.
y=-x+b
2=-(-1)+b
2=1+b
b=1
so, the equation of the line that passes through (-1,2) and is perpendicular to 2y=2x-1 is:
y=-x+b
A random sample of 49 measurements from a population with population standard deviation σ1 = 4 had a sample mean of x1 = 11. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 5 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. What distribution does the sample test statistic follow? Explain.
Answer:
Reject H0 and conclude that population means are different.
Step-by-step explanation:
H0: μ1 = μ2
H1: μ1 ≠ μ2
x1 = 11 ; σ1 = 4 ; n1 = 49
x2 = 14 ; σ2 = 5 ; n2 = 64
The test statistic :
(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]
Test statistic :
(11 - 14) / sqrt[(4²/49 + 5²/64)]
Test statistic :
-3 / √0.7171556
Test statistic = - 3.542
Using α = 0.01
The critical value Zα/2 ; Z0.01/2 = 2.58
Decison region :
Reject H0 : if Test statistic < Zcritical
Reject H0 : - 3.542 < - 2.58
The slope of the line below is 2. Which of the following is the point-slope form
of the line?
Answer:
y+1 = 2(x-1)
Step-by-step explanation:
Point slope form for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
We are given the point(1,-1)
y --1 = 2(x-1)
y+1 = 2(x-1)
Any help here please
Answer:
A
Step-by-step explanation:
JUst answered same question
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between the related populations represented by the data below. Assume a 5% level of significance and (differences = before - after).
Before After
5.6 6.4
1.3 1.5
4.7 4.6
3.8 4.3
2.4 2.1
5.5 6.0
5.1 5.2
4.6 4.5
3.7 4.5
a. What is the value of T= 36.5 is wrong
b. What is the value of T= 8.5 is wrong
c. What is the test statistic, T= 5 is wrong
Answer:
We fail to reject the null and conclude thattherw is no difference in population means.
Step-by-step explanation:
Before After
5.6 6.4
1.3 1.5
4.7 4.6
3.8 4.3
2.4 2.1
5.5 6.0
5.1 5.2
4.6 4.5
3.7 4.5
H0 : There is no difference in population
H1 : There population are not all equal
Difference, d = (Before - After)
d = -0.8, -0.2, 0.1, -0.5, 0.3, -0.5, -0.1, 0.1, -0.8
The test statistic :
T = dbar / (Sd/√n)
dbar = Σx / n = - 2.4 / 9 = 0.2666
Standard deviation of difference Sd; [√Σ(d - dbar)² / n-1]
Sd = 0.403 (using calculator)
Hence,
T = dbar / (Sd/√n)
-0.266 / (0.403/√9)
-0.266 / 0.1343333
= - 1.980
The Pvalue ;
df = n - 1 ; 9 - 1 = 8
Pvalue(-1.980, 8) = 0.083
α = 0.05
Since Pvalue > α; We fail to reject the null and conclude thattherw is no difference in population means.
what is the domain of f(x)=3x/x-1
Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?
Answer:
Step-by-step explanation:
5 years
[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]
10 years
[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]
486 months:
[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]
round those as you please
the figure below to answer the questions that follow 6cm LO 3.3.1 Calculate the angle, 60, in radians. (2) 3.3.2 Calculate the area of the minor sector (the "slice that has been cut out). (3) 3.3.3 Calculate the area of the major sector (4) 3.3.4 Calculate the arc length of the minor sector (3) 3.3.5 Calculate the arc length of the major sector. (3) [30]
Answer:
it's very hard
im sorry dunno
Bài 2: Một công ty XNK Việt Nam nhận được tiền bán hàng từ hơp đồng XK là 35.000.000 JPY, đồng thời phải thanh toán tiền mua nguyên vật liệu NK là 3.500.000 CNY. Tại thời điểm thực hiện hợp đồng, NH niêm yết các tỷ giá giao ngay như sau: USD/JPY = 128,15/27 USD/CNY = 9,5575/91 USD/VND = 19.125/38 Hỏi tài khoản VND của công ty còn bao nhiêu tiền sau khi đã thực hiện các hơp đồng trên? Nêu ra phương án thanh toán có lợi nhất cho công ty? %3D
Answer:
Ask in English then I can help
If x+y=6 and xy =2find x³+y³(please help me fast with explanation also please) T^T
Answer: x³+y³=180
Step-by-step explain: let's remember the formula x³+y³=(x+y)(x²-xy+y²) and also x³+y³=(x+y)³-3xy(x+y) then [tex]\displaystyle\boldsymbol{ x^3+y^3=\underbrace{(x+y)^3}_{6}-3\underbrace{xy}_{2}\underbrace{(x+y)}_6}=\\\\6^3-3\cdot 2\cdot 6=216-36=180[/tex]
Find: |-8|
о 0
О -1
0 8
О - 8
Answer:
|-8|
= |-8| = 8
|-8|. |-a = a , a> o
= 8
A cube has an edge of 8cm. Calculate its Volume.
Answer:
512cm³
Step-by-step explanation:
to get the volume the formula is Base area x height
BA X H
=8x8x8 because all sides of a cube are equal
=512cm³
Solve for x in this equation: 3/4+|5-x|=13/4
A ladder is leaning against a building so that the distance from the ground to the top of the latter is 1 foot less than the length of the latter find the length of the latter is the distance from the bottom of the ladder to the building is 7 feet
Answer:
[tex]25\text{ feet}[/tex]
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared ([tex]a^2+b^2=c^2[/tex]), where [tex]c[/tex] is the hypotenuse.
Let the length of the ladder be [tex]\ell[/tex] (hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as [tex]\ell -1[/tex].
From the Pythagorean Theorem, we then have:
[tex]7^2+(\ell-1)^2=\ell^2[/tex]
Expand using [tex](a-b)^2=a^2-2ab+b^2[/tex]:
[tex]49+\ell^2-2\ell+1=\ell^2[/tex]
Subtract [tex]\ell[/tex] from both sides and add [tex]2\ell[/tex] to both sides:
[tex]49+1=2\ell[/tex]
Combine like terms:
[tex]50=2\ell, \\2\ell =50[/tex]
Divide both sides by 2:
[tex]\ell=\frac{50}{2}=\boxed{25\text{ feet}}[/tex]
Therefore, the length of the ladder is 25 feet.
Find the volume of the cylinder in terms of [tex]\pi[/tex].
h = 6 and r = 3.
a. 27[tex]\pi[/tex] in.³
b. 108[tex]\pi[/tex] in.³
c. 54[tex]\pi[/tex] in.³
d. 324[tex]\pi[/tex] in.³
Answer:
c. 54[tex]\pi[/tex] in.³
The volume of cylinder is 54[tex]\pi[/tex] in.³
Step-by-step explanation:
Given that :-
Height of cylinder , h = 6.Radius of cylinder, r = 3.To Find :-
Volume of cylinder.Solution:-
We use formula
Volume of cylinder = π × (radius)² × h
Substitute the value of radius and height.Volume of cylinder = π × ( 3)² × 6.
Evaluate the exponent.Volume of cylinder = π × 9 × 6.
Multiply we get ,Volume of cylinder = 54[tex]\pi[/tex] in.³
The formula we use,
→ Volume of cylinder = π × r² × h
It is given that,
→ Height (h) = 6 and radius (r) = 3.
Then we have to,
find the volume of the cylinder,
→ π × r² × h
→ π × 3² × 6
→ π × 9 × 6
→ 54π in.³
Thus, option (c) is the answer.
