Answer:
Step-by-step explanation:
3/16 = 0.1875
As a % this is 18.75%
18.75/100 * 200 = 37.5
I'm not sure from the question, exactly what you want. 18.75% of 200 is one possibility.
3/16 of 200 as a percentage is 3750%
The question can be represented as:
[tex]\frac{3}{16} * 200[/tex]
Rewrite as:
[tex]\frac{3}{16} * 200 =\frac{3* 200}{16}[/tex]
Multiply the numerator
[tex]\frac{3}{16} * 200 =\frac{600}{16}[/tex]
[tex]\frac{3}{16} * 200 =37.5[/tex]
Multiply by 100% to represent it as a percentage
[tex]\frac{3}{16} * 200 =37.5 * 100\%[/tex]
[tex]\frac{3}{16} * 200 =3750\%[/tex]
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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.
Which set of angles listed are supplementary
Answer:
A. <BED and <DEA, <AEC and <BEC
Step-by-step explanation:
Supplementary angles add up to give 180°.
m<BED = 90°
m<DEA = 90°
m<BED + m<DEA = 180°
Therefore, <BED and <DEA are supplementary.
m<AEC = 90°
m<BEC = 90°
m<AEC + m<BEC = 180°
Therefore, <AEC and <BEC are supplementary.
A golf ball is hit from ground level. Its path is modelled by the relation h(t) = -4.9 t2 + 27.2t , where h is the ball’s height above the ground, in meters, and t is the time, in seconds. Determine the time the ball is in the air.
Sixty out of every 100 pieces of candy is red. Which Indicates the
proportion of red candies? 60
60/100
60/40
40/100
Answer:
60/100
Step-by-step explanation:
Hope it helps you in your learning process
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
PLEASE HELP ME WITH THIS QUESTION!! HELP ME!!!
During one 8-hour work-day, Bill began work one hour late, took 2 breaks of a half hour each, and went to lunch for an hour. Out of 24 hours, how many hours did Bill spend not working that day?
Answer: 17 hours
Step-by-step explanation: Because he worked an hour over I added an hour. Then I subtracted his lunch break and and 2 breaks. I then took that number and subtracted it by 24.
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]
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.
In sunlight, a vertical yardstick casts a 1 ft shadow at the same time that a nearby tree casts a 15 ft shadow. How tall is the tree? (Make a sketch to help solve the problem. Hint: 3ft equals one yard.)
A) 45 ft
B) 50 ft
C) 44 ft
D) 48 ft
Answer: A) 45 ft
Step-by-step
The yardstick is 3ft tall since 1 yard = 3ft. It is 3 times as tall as its shadow. The tree has a 15ft long shadow. The tree should also be 3 times as tall as its shadow. The tree is 15*3ft tall, so it is 45ft tall. I attached an image of the diagram I made.
I am need help and an explanation on how to read these graphs.
Answer:
i think its b
Step-by-step explanation:
The store employee works 35 hours per week. Which inequality can be used to find the dollar value, x, of weekly sales that the employee must make to earn more than $400 per week?
If there is a song that is 2 minutes and 58 seconds long and it plays 40 times how long does it play convert answer into seconds.
Answer: I got 7120 seconds
Step-by-step explanation:
There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)
Hope this helps
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.
¿COMO PUTAS SE HACE i¹⁰⁰²?
Answer:
nose
Step-by-step explanation:
a baceball team won 11 on its first 18 games at this rate how many games will the team win in a 162 game season
Answer:
Step-by-step explanation:
Set up the following proportion. x is the number of games you should win.
11/18 = x / 162
11*162 / 18 = x
x = 99 You likely would be out of the playoffs with a number like this.
Determine whether the three points are colinear (0,-4),(-3,-18),(2,6) are the three points colinear?
9514 1404 393
Answer:
they are not collinear
Step-by-step explanation:
A graph shows that a line through points A and C misses point B, so the points are not collinear.
__
If the points are collinear, then the slope of the segment between the first pair would be the same as the slope of the segment between the second pair.
m = (y2 -y1)/(x2 -x1)
m = (-18 -(-4))/(-3 -0) = -14/-3 = 14/3 . . . . slope of AB
__
m = (6 -(-18))/(2 -(-3)) = 24/5 . . . . slope of BC ≠ slope of AB
The points are not collinear.
_____
Additional comment
With about the same amount of computational effort, you can find the area of the triangle bounded by the three points. If it is zero, then the points are collinear. Here, it is 1 square unit, so the points are not collinear.
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
help I was never taught how to do this im confused
Answer:
36
Step-by-step explanation:
Area of a triangle = (bh)/2
Where b = base length and h = height
Given base length: 18ft
Given height: 4ft
This being known let's define the variables
b = 18
h = 4
Now to find the area we simply plug in these values into the formula
Area = (18)(4)/2
Simplify multiplication 18 * 4 = 72
Area = 72/2
Simplify division
Area = 36
An integer is 18 more than 4 times another. If the product of the two integers is -18, then find the integers.
Answer:
Step-by-step explanation:
x = 4y+18
xy = -18
x = -18/y
-18/y = 4y+18
4y² + 18y + 18 = 0
2y² + 9y + 9 = 0
y = [-9 ±√(9²-4(2)(9))]/[2(2)] = [-9 ± 3]/4 = -1.5, -3
-1.5 is an extraneous solution, so y = -3
x = 6
A woodworker makes wooden checkerboards. her profit is a function of the price she charges. this graph shows her total profits, y, based on the sales price, x, of each checkerboard.
identify any zeros of the function, and interpret what the zeros mean in terms of the situation.
Answer:
Option B.
Step-by-step explanation:
Remember that the profit is defined as the difference between the revenue and the cost.
So, having a profit y = 0 means that the woodworker did not win nor lose anything.
Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.
In the graph we can see that the zeros are at:
x = 15 (the first one)
x = 70 (the second one)
so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.
The correct option is B.
Answer:
x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.
Step-by-step explanation:
Given C(4, 3) and D(-4, -3) are two points on a circle, centered at the origin. Given
that CD is a diameter of the circle?
a) Find the radius of the circle.
b) State the equation of the circle
The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in. What is the current temperature?
in the given figure poq is a line. if x=30 then find qor and ros
Answer:
[tex]2y + 3y + x = 180 \\ 5y + 30 = 180 \\ 5y = 180 - 30 \\ 5y = 150 \\ y = 30[/tex]
QOR =3Y
=3×30
=90°
ROS = 2Y
=2×30
=60°
Plz help me find zero x on the triangle and show work thanks
Answer:
x= 30 degrees
Step-by-step explanation:
This is an isosceles triangle as indicates by the lines on the sides.
Since the sides lengths are equal, the base angles are equal
x= 30 degrees
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.
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I need help with this
Answer:
A.
Step-by-step explanation:
A for apple....
Dwuhhhhhhhhhhhhh
Isss ezeewer dan anytwing
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]
A ship sailed 30 kilometers in 1 1/2 hours. What is was its rate in kilometers per hour?
1) 20
2)30
3)45
4)90
5)Not enough information is given.
Answer:
20km/hr
Step-by-step explanation:
Given that a ship sailed 30km in one and a half hours. We need to find out the rate of ship in kilometres/hour . The rate is also called Speed.
Speed:- Distance travelled per unit time is called Speed .
Here , according to Question,
Distance = 30 km
Time = 1½ hrs .
We know that ,
[tex]\rm\implies Distance = Speed \times Time [/tex]
Subsequently ,
[tex]\rm\implies Time = \dfrac{Distance}{Time} [/tex]
Substitute the respective values ,
[tex]\rm\implies Rate =\dfrac{ 30km}{ 1.5 hrs } [/tex]
We can write 1.5 as 3/2 , therefore ,
[tex]\rm\implies Rate = \dfrac{ 2\times 30}{3} km/hr[/tex]
Simplify the RHS ,
[tex]\rm\implies\boxed{\blue{\rm Rate = 20\ km/hr}} [/tex]
Hence the Rate/Speed of the ship is 20km/hr .
The ________ and variance are derived from a subset of the population data and are used to make inferences about the population.
a. population standard deviation.
b. population variance.
c. population mean.
d. sample mean.
Answer:
the answer is option A population standard deviation
what’s 9-3 2/5? because i can’t find it
Answer:
Step-by-step explanation:
(9-3)(2/5) = 6(2/5) = 12/5 = 2 2/5
9-32/5 = 2.6
