Answer:
The population mean is of 6.1667.
Step-by-step explanation:
Total sample size:
26 + 54 + 86 + 26 = 192
Mean:
To the mean is the sum of the midpoint of the class frequencies multiplied by its frequency(mean of 2 to 4 is 3, 4 to 6 is 5 and so on...). So
[tex]M = 3\frac{26}{192} + 5\frac{54}{192} + 7\frac{86}{192} + 9\frac{26}{192} = \frac{3*26 + 5*54 + 7*86 + 9*26}{192} = 6.1667[/tex]
The population mean is of 6.1667.
The ___ is the center of mass of the triangle.
A. median
B. midpoint
C. orthocenter
D. centroid
Answer:D.CENTROID
Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID
The sum of triple a number and 5 is 40.
A company sells widgets. The amount of profit, y, mar by the company, is related to the selling price of each widget, x, by the given equation. using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2 + 105x - 859
Answer:
$522.12
Step-by-step explanation:
We can find this by x=-b/(2a) where a = -2 and b = 105:
x = -105/(2)(-2)
x= -105/-4
x= 105/4
We put this value of "x" into the original formula to find out the value of "y"
y = -2x^2 + 105x - 859
y = (-2)(105/4)^2 + 105(105/4) - 859
y = -1378.13 + 2756.25 - 859
y = 522.12
Therefore, the maximum profit would be $522.12
Hope this helps!!
Zoey bought a new skateboard that cost 36.79. How much change should she get if she paid for the skateboard with two 20 bills
Answer:
4 dollars and something back
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
$3.21
»»————- ★ ————-««
Here’s why:
Zoey bought a $36.79 skateboard and paid for it with two $20 bills. This means that Zoey paid $40 in total.⸻⸻⸻⸻
[tex]40.00-36.79=\boxed{3.21}[/tex]
⸻⸻⸻⸻
She should get $3.21 as her change.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP!!!
In 1994, the city of Amuel had a population of 1,256 people. That same year a factory opened near the town, and many people moved into the city limits. The population grew to 1,381 people in 1995, and in 1996 the population of Amuel reached 1,519 people. Assume this rate of growth continued until the factory closed in 2007. How many people were living in Amuel when the factory closed? Explain. Round to the nearest whole number, if needed.
Answer:
Step-by-step explanation:
so if in 1994 it was = 1,256
1995 = 1256 + x = 1,381 {x is 125}
1996 = 1381 + x = 1,519 {x is 138}
2007 = it is eleven years from 1996 to 2007 so take the average of the both digits which we will find through adding both the x quantities and dividing it with 2 the answer is 131.5. back to 2007, so multiply 11 with 131.5 which is 1,446.5. now add 1,446.5 to 1519
and the answer is 2,965.5.
hope it helps
1) Express the following in exponential form:
b)1800
Answer:
1.8*10^3
Step-by-step explanation:
Exponential form should always be between 1 - 10. If you place the decimal point 3 places to the left, The power of 10 would be 3.
Write the product in standard form. (2 + 3i)(2 - i)
9514 1404 393
Answer:
7 +4i
Step-by-step explanation:
(2 +3i)(2 -i) = 2(2 -i) +3i(2 -i) = 4 -2i +6i +3 = 7 +4i
_____
i = √-1, so i^2 = -1. Otherwise the product is identical to what you would get if "i" were a variable.
3. a trader sold an article at a discount of
18% for GHC828.00. If the article
was initially marked to gain 25%
profit, find the:
a) cost price of the article
b) discount allowed.
Answer:
GHC757.317
GHC181.756
Step-by-step explanation:
Given that :
Discount on sale = 18%
Sale price at 18% discount = 828
828 = 100% - 18%
828 = 82%
The cost at 100% can be represented as :
828 = 0.82
x = 1
Cross multiply :
828 = 0.82x
x = 828 / 0.82
x = 1009.7560
The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :
(100 - 25)% * 1009.7560
0.75 * 1009.7560
= GHC757.317
Discount allowed :
1009.7560 - 828
= GHC181.756
Find the area of this circle.
Answer:
not sure man... goodluck tho
Answer:
Step-by-step explanation:
diameter=12 cm
radius r=12/2=6 cm
area A=πr²=3(6)²=108 cm²
Which step can you use to solve the equation c-7 = 13 for c?
A. Add 7 to both sides of the equation.
B. Subtract 7 from both sides of the equation.
C. Multiply both sides of the equation by 7.
D. Divide both sides of the equation by 7.
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. Add 7 to both sides of the equation.
»»————- ★ ————-««
Here’s why:
To solve for a variable we need to use inverse operations to 'undo' a value. We would do this on both sides for the equation to remain balance.The opposite of subtraction is addition, so we would add 7 to both sides of the equation to solve for c.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\c - 7 = 13\\---------\\\rightarrow c - 7 + 7 = 13 + 7\\\\\rightarrow \boxed{c=20}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Hey there!
Since the given equation is subtracting, we're going to do the opposite of s traction which addition; whereas addition opposite is subtraction, division is multiplication, and multiplication is division. Now that we got that information out the way, we can finally answer your question
The very first step to solving c - 7 = 13 is ADDING 7 to BOTH SIDES because it is the opposite of subtracting
Answer you're looking for: Option A. Add 7 to both sides of the equation
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Solve for the value of X pleassee
Answer:
188
Step-by-step explanation:
SR and ST are equal in length so the arc SR and arc ST also have same measurement
since the perimeter of the circle is equal to 360 and arc RT is given as 64
x = (360 - 64) / 2
x = 188
Find the area of the composite/irregular figure. Use 3.14 for pi.
PLEASE SHOW WORK/EXPLANATION FOR BRAINLIEST
Answer:
151.25cm
Step-by-step explanation:
First split the the shape into two, a rectangle and a semicircle.
Let's begin with the rectangle. The formula for the area of a rectangle is
A = l × w
A = 16 × 7
A = 112
Now we move onto the semicircle. We know that the length of the long side of the rectangle is 16. Because of the markings, we know that the missing portion of the 6cm line is 16 as well. That means that we would do 16 - 6 to find that small missing length. It gives us 10cm which will act as the diameter for the semicircle.
The formula for the area of a semicircle is
A = [tex]\frac{\pi r^{2} }{2}[/tex] (fill in what you know)
A = [tex]\frac{3.14 (5^{2} )}{2}[/tex] (The radius is half the diameter. So 10 ÷ 2 = 5)
A = [tex]\frac{3.14(25)}{2}[/tex] (Solve what's in the parentheses first)
A = [tex]\frac{78.5}{2}[/tex] (multiply pi and 25)
A = 39.25
Now all we have to do is add the two areas to get the combined area of the whole.
A = 112 + 39.25
A = 151.25
LAST ONE, ON A TIMER. Find the zeros of the function and write in a + bi form.
-(x+1)^2-4=0
Answer:
Option DStep-by-step explanation:
-(x+1)²- 4 = 0(x+1)² = - 4 x + 1 = ± √-4x = -1 ± 2iCorrect choice is D
Answer:
D
Step-by-step explanation:
Given
- (x + 1)² - 4 = 0 ( add 4 to both sides )
- (x + 1)² = 4 ( multiply both sides by - 1 )
(x + 1)² = - 4 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( subtract 1 from both sides )
x = - 1 ± 2i , then
x = - 1 + 2i, x = - 1 - 2i → D
Use law of sines or law of cosines to find the length of side AB Please show work !!
Answer:
[tex]AB = 11.3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Length AB
To do this, we make use of sine law which is represented as:
[tex]\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}[/tex]
So, we have:
[tex]\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}[/tex]
Make AB the subject
[tex]AB = \frac{15}{\sin(70)} * \sin(45)[/tex]
[tex]AB = \frac{15}{0.9397} *0.7071[/tex]
[tex]AB = 11.3[/tex]
Function limits:
Exercise approximation method
9514 1404 393
Answer:
A. 2
B. 6
Step-by-step explanation:
The attachment shows the table of values for exercises A and B.
A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.
__
Additional comment
Here, the function simplifies to ...
f(x) = (2x)(x -1)/(x -1) = 2x
The simplified function can be evaluated directly at the limit value of x, with no approximation needed.
The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 tourists and 18 guides.On Sunday,there were 40 tourists.How many guides were there on Sunday?
Answer: There were 6 guides on Sunday.
Step-by-step explanation:
I suppose that this is a question about equivalent ratios:
It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.
RATIO OF TOURISTS TO GUIDES:
SATURDAY: 120 : 18
SUNDAY: 40 : ?
Divide 120 by 40:
120/40 = 3
Divide 18 by 3:
18/3 = 6
Therefore:
SAT: 120 : 18
SUN: 40 : 6
Check it by multiplying both numbers in the ratio 40 : 6 by 3:
40 • 3 : 6 • 3
= 120 : 18
(You get the ratio from Saturday)
Hope this helps!
Sin 37°, to 4 decimal places
Answer:
answer= 0.6018
Step-by-step explanation:
0.6018150235 to the 4 decimal =0.6018
regina walked 1/6 of a mile each day for 8 days. how many miles did she walk in all
HELP PLS
A boat heading out to sea starts out at Point A, at a horizontal distance of 819 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 14∘ . At some later time, the crew measures the angle of elevation from point B to be 7∘ . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answer:
[tex]844\:\text{ft}[/tex]
Step-by-step explanation:
I've created a diagram and added steps on GeoGebra for reference. Please refer to the diagram below:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).
Therefore, we have the two equations:
[tex]\begin{cases}\tan 14^{\circ}=\frac{h}{819}\\\tan 7^{\circ}=\frac{h}{819+x}\end{cases}[/tex]
Because [tex]h=h[/tex] (reflexive property), we have:
[tex]819\tan 14^{\circ}=\tan 7^{\circ}(819+x)[/tex]
Isolating and solving for [tex]x[/tex]:
[tex]\frac{819+x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\1+\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}}-1,\\\\x=819(\tan 14^{\circ}\cot 7^{\circ}-1),\\\\x=844.07256243\approx \boxed{844\text{ ft}}[/tex]
Please help me in this question.
Answer:
a) 24
b) 63
c) 2
d) -2
Step-by-step explanation:
you are supposed to try different numbers, but...
X-9 = 15 add 9 to both sides
X = 24
7x/9 = 49 multiply both sides by 9
7x = 441 divide by 7
x = 63
3(x + 6) = 24 divide both sides by 3
(x + 6) = 8 subtract 6 from both sides
X = 2
11x + 2 = -20 subtract 2 from both sides
11x = -22 divide both sides by 11
X = -2
I don’t know the answer please help me out
what number must you add to complete the square? x^2+28x=11
To complete 2ab of (a+b)²
2ab=28x2x(b)=28xb=28x/2xb=14b²=196196 must be added on both sides to get complete square as (x+14)²
Answer:
196
Step-by-step explanation:
Given equation:
[tex]x^2+28x=11[/tex]
Step 1
When completing the square for an equation in the form ax²+bx+c=0, the first step is to move the constant to the right side of the equation.
This has already been done in the given equation:
[tex]x^2+28x=11[/tex]
Step 2
Add the square of half the coefficient of x to both sides.
This forms a perfect square trinomial on the left side:
[tex]\implies x^2+28x+\left(\dfrac{28}{2}\right)^2=11+\left(\dfrac{28}{2}\right)^2[/tex]
Simplify:
[tex]\implies x^2+28x+14^2=11+14^2[/tex]
[tex]\implies x^2+28x+196=11+196[/tex]
[tex]\implies x^2+28x+196=207[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies (x+14)^2=207[/tex]
We have now completed the square and can go onto solving the equation.
Therefore, 196 must be added to both sides of the equation to complete the square.
Which function of x has a y-intercept of -5?
Answer:
[tex]y = - 3x - 5 \\ c = - 5[/tex]
Equivalent expression for .68y
Answer:
68 × y
Step-by-step explanation:
68y = 68 × y
Arjun’s family is traveling in a car at a constant speed of `65` miles per hour. At that speed, 200
Answer:
speed=200 m/s
Step-by-step explanation:
The Centers for disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to second-hand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of adults in the United States who were users of tobacco from 2001 through 2011:
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model suggest that OSH is on target to meet this goal?
Use your model to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal.
the ratio equivalent to 3:4.
Answer:
33:44
Step-by-step explanation:
4*11=44
3*11=33
How many small squares in this rectangle should be shaded to represent
5 of
I
Answer:
Where's the picture
Step-by-step explanation:
The picture...
Give brainiest if right!!
Two planes travel in opposite directions from the same airport. The
first plane travels at a speed of 320 mph, and the second plane’s
speed is 1.5 times greater. What is the distance between the two
planes after 5 hours?
Answer:
4000 miles
Step-by-step explanation:
320x1.5=480
(320x5)+(480x5)=4000
4000 miles
Answer:
[tex]4,000\text{ miles}[/tex]
Step-by-step explanation:
Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.
Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.
If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.
Using [tex]d=rt[/tex], the first plane must travel:
[tex]d=320\cdot 5=1600[/tex] miles
The second plane must travel:
[tex]d=480 \cdot 5=2400[/tex] miles
However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]
A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?
Answer:
2/5.
Step-by-step explanation:
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
To learn more on probability click:
brainly.com/question/11234923
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