5 Students = 3 Teams
7 Students = 2 Teams
To find out the answer we can use the following equation
[tex]\frac{Total}{Students} \\\\\frac{15}{5} = 3 \\\frac{15}{7} = 2.14... \\[/tex]
If you run into a decimal number, like we did when we had a team of 7, you can just round down!
Answer:
3
Step-by-step explanation:
least students= 5
maximum students = 7
total number of students = 15
no: of grps if 5 students per grp = 15/5 = 3
no: of grps if 7 students per grp = 15/7 = 2.14 ~ 2
However, if they ask us how many teams in final we can say 3 as it is the maximum number of groups that can be formed b a grp of 15 students ... if we make 7 students per grp... one would be left out .
First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airline miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1184 registered. Give a 95% confidence interval for the true proportion of those cardholders who will register for the offer.
Answer:
The answer is "[tex]0.02235 \ and \ 0.02501[/tex]".
Step-by-step explanation:
Given:
[tex]x= 1184\\\\n = 50000\\\\c = 95\% = 0.95[/tex]
The sample proportion is computed by subtracting that sample size by both the successes:
[tex]\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368[/tex]
Determine [tex]z_{\frac{\alpha}{2}} = Z_{0.025}[/tex] using table Z in Table Z for trust level [tex]1 -\alpha = 0.95[/tex]
add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):
So, the boundaries of the confidence interval:
[tex]\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\[/tex]
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
A square has a perimeter of 67 inches. What is the area of the square?
Answer:
280.56 in
Step-by-step explanation:
A square has 4 sides
67/4 = 16.75
All 4 sides are 16.75
Now, area of a square
16.75 x 16.75 = 280.5625
Round to Hundreths, 280.56.
280.6
i took the test................................
Write down the reciprocal of 8
Answer: 1/8
Step-by-step explanation:
Concept
Reciprocal is any number that is reverse to the given value. This means the original number times the reciprocal will equal 1. For a more graphical explanation, please refer to the attachment below.
Solve
8×(x)=1
x=1/8
Hope this helps!! :)
Please let me know if you have any questions
Which previewing strategy would work best for a topic you have heard of before?
a.
using prior knowledge
c.
skim the introduction and conclusion
b.
identify text structure
d.
none of the above
Answer:
A- using prior knowledge
Step-by-step explanation:
The length of a rectangular platform is 2 feet longer
than three times its width. The area of the platform is
56 square feet. What are the width and the length
of the platform?
Answer: Length: 14; Width: 4
Step-by-step explanation:
What is m ZPQR?
R
(x + 3)
(3x + 5)
S.
Р
Answer:
3 x 2 − 2 x -5
Step-by-step explanation:
Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin which the concentration of the blood increases mostrapidly. Based on certain tests in seawater, theconcentration of blood(in parts per million) at point P(x,y) on thesurface is approximated by:
C(x,y)= e^- (x^2+2y^2).10^4
where x and y are measured in meters in a rectangularcoordinate system with the blood source at the origin.
a. Identify the level curves of the concentration function andsketch several members of this family together with a path that ashark will follow to the source.
b. Suppose a shark is at the point (xo, yo) when it first detects the presenceof blood in the water. Find an equation of the shark's path bysetting up and solving a differential equation.
Solution :
a). The level curves of the function :
[tex]$C(x,y) = e^{-(x^2+2y^2)/10^4}$[/tex]
are actually the curves
[tex]$e^{-(x^2+2y^2)/10^4}=k$[/tex]
where k is a positive constant.
The equation is equivalent to
[tex]$x^2+2y^2=K$[/tex]
[tex]$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$[/tex]
which is a family of ellipses.
We sketch the level curves for K =1,2,3 and 4.
If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.
Then we know the shark's path is perpendicular to the level curves it intersects.
b). We have :
[tex]$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$[/tex]
[tex]$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$[/tex] and
[tex]$\triangledown C$[/tex] points in the direction of most rapid increase in concentration, which means [tex]$\triangledown C$[/tex] is tangent to the most rapid increase curve.
[tex]$r(t)=x(t)i+y(t)j$[/tex] is a parametrization of the most [tex]$\text{rapid increase curve}$[/tex] , then
[tex]$\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$[/tex] is a tangent to the curve.
So then we have that [tex]$\frac{dr}{dt}=\lambda \triangledown C$[/tex]
[tex]$\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4} $[/tex]
∴ [tex]$\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$[/tex]
Using separation of variables,
[tex]$\frac{dy}{y}=2\frac{dx}{x}$[/tex]
[tex]$\int\frac{dy}{y}=2\int \frac{dx}{x}$[/tex]
[tex]$\ln y=2 \ln x$[/tex]
⇒ y = kx^2 for some constant k
but we know that [tex]$y(x_0)=y_0$[/tex]
[tex]$\Rightarrow kx_0^2=y_0$[/tex]
[tex]$\Rightarrow k =\frac{y_0}{x_0^2}$[/tex]
∴ The path of the shark will follow is along the parabola
[tex]$y=\frac{y_0}{x_0^2}x^2$[/tex]
[tex]$y=y_0\left(\frac{x}{x_0}\right)^2$[/tex]
Given the feasible region graphed below, where will the maximum value of the objective function f(x, y) = −2x + y − 1 occur?
a. (3, 0)
b. (−3, 0)
c. (0, −3)
d. (0, 0)
The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.
The objective function is given as f(x, y) = −2x + y − 1.
For the maximum value all the options are analysed one by one as follows,
(a) Substitute x = 3 and y = 0 in the given objective function to obtain,
-2 × 3 + 0 - 1 = -7
(b) Substitute x = -3 and y = 0 in the given objective function to obtain,
-2 × -3 + 0 - 1 = 5
(c) Substitute x = 0 and y = -3 in the given objective function to obtain,
-2 × 0 + -3 - 1 = -4
(d) Substitute x = 0 and y = 0 in the given objective function to obtain,
-2 × 0 + 0 - 1 = -1
Hence, the maximum value of the given objective function occurs at (-3, 0).
To know more about function click on,
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The Antique Auto News charges $10 for a 10-word classified ad. Each additional word costs $0.40. For an extra $40, a seller can include a photo in the ad. How much would a 20-word ad with a photo cost?
Answer: $60
Step-by-step explanation:
Here is why:
For 20 -word ad it will be $20 because of twice the amount of the 10 word amount. and another $40 for the photo!
And you get $60!
Any Questions
It will cost $54 for an 20 word ad and a photo.
We have Antique Auto News agency which charges $10 for a 10-word classified ad. Each additional word costs $0.40 and for an extra $40, a seller can include a photo in the ad.
We have to determine much would it cost for a 20-word ad with a photo.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to the question, we have -
Cost of 10-word classified ad → $10
Additional word cost → $0.40
Additional Photo cost → $40
Therefore -
Assume that for a 20-word ad with a photo costs $x.
Therefore -
x = 10 + 0.40 x 10 + 40
x = 10 + 4 + 40
x = 54
Hence, it will cost $54 for an 20 word ad and a photo.
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Five boxes of fruit snacks cost $22.50.
How much would three boxes cost?
How much would nine boxes cost?
How much would x boxes cost?
Answer:
13.5 answer is 13.5 and one cost 4.5
Find the domain of the expression:
-((18a^2b^2)/(5cd))/-((9ab^3)/(5c^2d^4))
I can't seem to get it right, I've already tried a, b, c, and d not equal to 0 and it is still not right.
Answer:
2acd^3b^-1
Step-by-step explanation:
About the domain, I don't understand that but i tried to help you.
9514 1404 393
Answer:
a≠0 and b≠0 and c≠0 and d≠0
Step-by-step explanation:
No denominator is allowed to be zero. 'c' and 'd' are in the denominator of the numerator and denominator terms. 'a' and 'b' are in the numerator of the denominator term, so will make that term zero if they are zero. In short, none of a, b, c, or d may be zero.
__
The fact that the expression simplifies to ...
2acd^3/b
does not mean that the only restriction is b≠0.
Help me somebody pleaseeee
find the cost of 72 books at 5.75
Answer:
72×5.75=414
Step-by-step explanation:
is the cost of 72 books
HELP PLEASEEEEEEEE I NEED HELP ASAP
Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320
CANT SEE OTHER SORRY
Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont
cheat imma give ya answer to be noice
A trapezoid has interior angle measures of 90,90 ,75 and X degrees. Find the measure of angle x in the trapezoid. Enter only the number of degrees in the answer box. Angle x measures degrees.
The angles inside a trapezoid add up to equal 360 degrees
X = 360-90-90-75 = 105 degrees.
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
50%
Step-by-step explanation:
The distance between each dot is 25%
From 68 to 70 is 25% and 70 to 74is 25%
Above 68 is 25+25 or 50 %
solve (2x3-5x2+8)(x+3)
Answer:
[tex](2 {x}^{3} - 5 {x}^{2} + 8)(x + 3) \\ = (2 {x}^{4} - 5 {x}^{3} + 8x + 6 {x}^{3} - 15 {x}^{2} + 24) \\ = 2 {x}^{4} + {x}^{3} - 15 {x}^{2} + 8x + 24[/tex]
Answer:
[tex]2x^{4} + x^{3} - 15x^{2} + 8x + 24[/tex]
Step-by-step explanation:
Mark as Brainllest
10h + hx=d-5 solve for h
Answer:
Hey!!
Step-by-step explanation:
h = d − 5 /10 + x
Hope this helps!
Have a nice day<3
56 times a number minus 13 is equal to 6 less than the number.
Step 1 of 2: Write out the equation.
Answer:
The equation is 56x - 13 = x - 6
Step-by-step explanation:
Let's say our 'number' is x. If it says it's 56 times our number, it's 56x. Minus 13, which is 56x - 13. If it is equal than 6 less than the number, then it is x - 6.
So the equation is 56x - 13 = x - 6
simplify this question
Answer:
8192
Step-by-step explanation:
The answer is 8192 but in your multiple-choice problem it's [tex]2^{13}[/tex]
Somebody help me with the question
3. To make sure the sweater she is knitting will be the right size, Gale knits a sample that is 2 inches long. She knits a second sample that is 14 times as long as the first sample. How many inches long is the second sample?
please help, will mark u brainliest plz plz plz
Hello and good day.
For this question you will use multiplication.
We know that the first same is 2 inches long and the second sample is 14 times long as the first sample.
When some thing says times, it uses multiplication, especially when mentioned in word problems.
So 14 times 2 = 28.
The answer is: The second sample is 28 inches.
28
14x2=28 bro get this right >:P
PLEASE PLEASE PLEASE
Answer:
C
Step-by-step explanation:
30 x 60 x 70 = 126,000
90 x 60 x 30 = 288,000
288,000 + 126,000 = 288,000cm^3
Answer: 288,000 [tex]cm^{3}[/tex]
Step-by-step explanation:
first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)
small prism dimensions: 60 x 30 x 40 = 72,000
large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000
add them to get 288,000 [tex]cm^{3}[/tex]
Which equation is represented by the graph below?
Answer:
Its the third answer choice
Step-by-step explanation:
Hope this helped!!!
The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.
The y intercept of the equation is the 70.8.
The answer would be
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
Answer:
the answer is c
Step-by-step explanation:
because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.
Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintball does not hit anything and the ground is level. When will the paintball hit the ground?
Which expression is equivalent to? (first picture) Assume (second picture)
Answer choices:
A –50x8y18
B –2x8y18
C –2x12y72
D 5x8y18
HALLLPPP I RLLY NEED UR HELLLPP PLSSSS!!!
(And pls explain how exactly you got your answer thank you so much!)
Find the Compound Interest.
Principal: 1,000
Interest Rate: 3%
Time: 3 years
Answer:
92.727
Step-by-step explanation:
The formula for compound interest is [tex]P((1+i)^{t} -1)[/tex], where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.
1000((1+0.03)³-1)
1000(1.03³-1)
1000(1.092727-1)
92.727
1000(0.092727)
The difference of seven and two tenths and a number is more than twenty nine.