Answer:
22.8
Step-by-step explanation:
The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot.
Answer:
the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot is 0.77454
Step-by-step explanation:
Given that:
mean = 4
standard deviation = 1
The objective is to find the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot.
i.e
[tex]P(2.5 \leq x \leq 5) = P(\dfrac{2.5 - \mu}{\sigma} \leq \dfrac{X-\mu}{\sigma}\leq \dfrac{5- \mu}{\sigma})[/tex]
[tex]P(2.5 \leq x \leq 5) = P(\dfrac{2.5 - 4}{1} \leq Z \leq \dfrac{5- 4}{1})[/tex]
[tex]P(2.5 \leq x \leq 5) = P(\dfrac{-1.5}{1} \leq Z \leq \dfrac{1}{1})[/tex]
[tex]P(2.5 \leq x \leq 5) = P({-1.5}\leq Z \leq 1)[/tex]
[tex]P(2.5 \leq x \leq 5) = P({Z < 1})- P(Z < -1.5)[/tex]
[tex]P(2.5 \leq x \leq 5) = 0.84134- 0.06680[/tex]
[tex]\mathbf{P(2.5 \leq x \leq 5) = 0.77454}[/tex]
A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equation of this circle is (x + ?)² + (y +?)² = ? PLEASE HELPPP!!!!!!!!!!!!
Answer:
???????????????????
Step-by-step explanation:
Deana's Deli has a mean delivery time of 23 minutes with a standard deviation of 2 minutes. Determine the z-score for the number of sandwiches delivered in less than 24 minutes. −0.5 0.5 11.5 12
Answer:
o.5
Step-by-step explanation:
Please answer it now in two minutes
Answer:
157.5.
Step-by-step explanation:
(155 + 160) / 2
= 315/2
= 157.5.
Hey there! I'm happy to help!
We want to find whatever is in between J and K. To find the halfway point between any two numbers, you add them and then divide that result by two!
What's between 1 and 3?
1+3=4
4/2=2
So, we'll do the same here!
155+160=315
315/2=157.5
So, the midpoint is 157.5 or 157 1/2.
Have a wonderful day!
Clase de estadistica la moda es una medida de tendencia central que: ¿por que? a) tiene muchos datos b) tiene la mayor frecuencia c) tiene poca frecuencia d) al ordenar los datos de menor a mayor es el dato que se ubica en el centro
Answer:
b) tiene la mayor frecuencia
Step-by-step explanation:
Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.
Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.
What is the perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters?
The perimeter is the sum of all of the lengths of the sides. To find the perimeter, add together the length of each side.
For this triangle, our side lengths are 7, 7, and 9.
7 + 7 = 14
14 + 9 = 23
The perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters is 23 centimeters.
Hope this helps!! :)
Suppose instead of comparing independent measurements taken from two groups, you used a matched-pairs experiment and one treatment is randomly assigned to each half of the pair. In this case, how should you compute the confidence interval for the difference?
You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence
Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.
Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)
After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences
The confidence interval is in the form (L, U)
L = lower bound
L = dbar - t*sd/sqrt(n)
U = upper bound
U = dbar + t*sd/sqrt(n)
Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):
Answer:
You have relative maximum at x=1.
Step-by-step explanation:
-Note that f' is continuous and smooth everywhere. f therefore exists everywhere on the domain provided in the graph.
f' is greater than 0 when the curve is above the x-axis.
f' greater than 0 means that f is increasing there.
f' is less than 0 when the curve is below the x-axis.
f' is less than 0 means that f is decreasing there.
Since we are looking for relative maximum(s), we are looking for when the graph of f switches from increasing to decreasing. That forms something that looks like this '∩' sort of.
This means we are looking for when f' switches from positive to negative. At that switch point is where we have the relative maximum occurring at.
Looking at the graph the switch points are at x=0, x=1, and x=2.
At x=0, we have f' is less than 0 before x=0 and that f' is greater than 0 after x=0. That means f is decreasing to increasing here. There would be a relative minimum at x=0.
At x=1, we have f' is greater than 0 before x=1 and that f' is less than 0 after x=1. That means f is increasing to decreasing here. There would be a relative maximum at x=1.
At x=2, we have f' is less than 0 before x=2 and that f' is greater than 0 after x=2. That means f is decreasing to increasing here. There would be a relative minimum at x=2.
Conclusion:
* Relative minimums at x=0 and x=2
* Relative maximums at x=1
Using the graph and the second derivative test, it is found that the relative maximum on the graph of f(x) is at [tex]x = 1[/tex].
The critical points of a function f(x) are the values of [tex]x_0[/tex] for which:
[tex]f(x_0) = 0[/tex].
The second derivative test states that:
If [tex]f^{\prime\prime}(x_0) > 0[/tex], [tex]x_0[/tex] is a minimum point.If [tex]f^{\prime\prime}(x_0) < 0[/tex], [tex]x_0[/tex] is a maximum point.If [tex]f^{\prime\prime}(x_0) = 0[/tex], [tex]x_0[/tex] is a neither a minimum nor a maximum point.In this problem, the critical points are: [tex]x = 0, x = 1, x = 2[/tex].
The graph is of the first derivative. The derivative is the rate of change, thus, the second derivative is the rate of change of the first.For each of the critical points:
At x = 0, [tex]f^{\prime}(x)[/tex] is increasing, thus [tex]f^{\prime\prime}(x) > 0[/tex] and x = 0 is a minimum.At x = 1, [tex]f^{\prime}(x)[/tex] is decreasing thus [tex]f^{\prime\prime}(x) < 0[/tex] and x = 0 is a maximum.At x = 2, [tex]f^{\prime}(x)[/tex] is increasing, thus [tex]f^{\prime\prime}(x) > 0[/tex] and x = 2 is a minimum.A similar problem is given at https://brainly.com/question/2256078
A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer:
There are four possible outcomes for each spin: red, blue, yellow, green.
5 points
13. The distribution by state of 840
students in the Faculty of Science of
a Nigerian university in a certain
session is as follows: Kano 45; Kwara
410; Ogun 105; Ondo 126; Oyo 154. In
a pie chart drawn to represent this
distribution, the angle subtended by
Ondo is
36°
0 42
45
0 54
Answer:
[tex]Angle = 54[/tex]
Step-by-step explanation:
Given
Kano = 45;
Kwara = 410;
Ogun = 105;
Ondo = 126;
Oyo = 154
Total Distribution = 840
Required
Determine the angle subtended by Ondo (in a pie chart)
The general formula to calculate subtended angle in a Pie chart is;
[tex]Angle = 360 * \frac{Frequency}{Total\ Frequency}[/tex]
In this case of Ondo
Frequency = 126
Total Frequency = Total Distribution = 840
Substitute these values in the given formula;
[tex]Angle = 360 * \frac{126}{840}[/tex]
[tex]Angle = \frac{360 *126}{840}[/tex]
[tex]Angle = \frac{45360}{840}[/tex]
[tex]Angle = 54[/tex]
Hence, the angle subtended by Ondo is 54
What is the equation for continuous growth or compound interest
Answer: A = P(1 + \frac{r}{n})^{nt}
Step-by-step explanation: A = P(1 + \frac{r}{n})^{nt}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
From the web
The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.
(6) Find a and b as well as the ratio c:d in the
figure below.
Answer:
i have a Similar question I’m stuck on, just remember z rule, vertically opposite etc.
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A. add x, subtract 1, divide by 4
B. add x, subtract 4, divide by 4
C. subtract 3x, subtract 4, divide by 4
D. subtract 3x, subtract 4, divide by -4
E. subtract 1, add x, divide by 4
Answer :
A. add x, subtract 1, divide by 4
D. subtract 3x, subtract 4, divide by -4
Step-by-step-explanation : Further explanation
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+3x-1=-x+4-1\\Simplify\\3x=-x+3\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\3x+x=-x+3+x\\Simplify\\4x=3\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4x}{4}=\frac{3}{4}\\x=\frac{3}{4}[/tex]
I hope it helps:)
Which student evaluated the power correctly?
Anna's Work
99 = 9x9x9x9x9
- 59.049
O Hailey's Work
99 = 9x5
= 45
O Cameron's Work
9% = 9+9+9+9+9
=45
Jerry's Work
95 = 5x5x5x5x5x5x5x5x5
= 1,953.125
Answer:
a
Step-by-step explanation:
you have to multply
Answer:
A
Step-by-step explanation:
let (-3,-7) be a point on the terminal side of theta. find the exact values of sin theta, sec theta, and tan theta
Answer:
The exact values of sinθ = -7/√58.
The exact value of secθ = -√58/3 and
The exact value of tanθ = 7/3
Step-by-step explanation:
Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58
We know that sinθ = y/r.
So, sinθ = y/r = -7/√58
We know that secθ = 1/cosθ = 1/x/r = r/x
So, secθ = r/x = √58/-3 = -√58/3
We know that tanθ = y/x.
So, tanθ = y/x = -7/-3 = 7/3
So, the exact values of sinθ = -7/√58.
The exact value of secθ = -√58/3 and
The exact value of tanθ = 7/3
What is the equation of the function in vertex form? Substitute numerical values for a,h and k,
Answer:
f(x)= -2(x-8)²+6
Step-by-step explanation:
First graph the points
you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6
so the equation is
f(x) = a(x-8)²+6to get a we will replace by the coordinates of a point for example (6,-2)
-2 = a(6-8)²+6 -2 = a*4+6 -2-6 = 4a -8 = 4a a = -2a is negative wich makes sense since the parabola opens down
f(x) = -2(x-8)²+6A cone with a height of 50 meters has a volume of 5400π meters cubed. What is the radius of the cone?
Answer:
r = 18m
Step-by-step explanation:
h = 50 m
Volume of cone = 5400π m³
[tex]\frac{1}{3}\pi r^{2}h=5400\pi \\\\\\\frac{1}{3}\pi r^{2}*50=5400\pi \\\\\\r^{2}=\frac{5400* \pi *3 }{\pi * 50}\\\\\\r^{2}=108*3\\\\r^{2} = 324\\\\\\r=\sqrt{324}\\\\\\[/tex]
r = 18 m
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
second option
Step-by-step explanation:
The range is all of the y values. In this scenario, the y values are the number of sit-ups per minute. We can eliminate the first and third options because they're talking about x when we want y. Additionally, we can eliminate the last option because that is all of the x values, therefore, the answer is the second option.
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The range of a function is the set of all possible output values [tex]F(x)[/tex].
Options A and C are wrong because they talk about the input value x.
The output values are the number of sit-ups.
Option D talks about the ages (input).
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
X+ y = 8
x- y = 6
A. (7,1)
B. (8,2)
C. (9,3)
D. (60)
Answer:
The answer is option A.
Step-by-step explanation:
The steps are :
[tex]x + y = 8 - - - (1)[/tex]
[tex]x - y = 6 - - - (2)[/tex]
[tex](1) - (2)[/tex]
[tex]x + y - x - ( - y) = 8 - 6[/tex]
[tex]2y = 2[/tex]
[tex]y = 1[/tex]
[tex]substitute \: y = 1 \: into \: (1)[/tex]
[tex]x + 1 = 8[/tex]
[tex]x = 7[/tex]
Please help me it will mean a lot
Answer:
A) a=25
B) b=14
Step-by-step explanation:
A) a/5+3=8
First you need to subtract 3 from both sides.
(a/5+3)-3=(8)-3
Then simplify
a/5=5
Multiply both sides by 5
(a/5)*5=(5)*5
Then simplify
a= 25
B )3b/7-1=5
First you need to add 1 to both sides
(3b/7-1)+1=(5)+1
Simplify
3b/7=6
Multiply both sides by 7
(3b/7)*7=(6)*7
Simplify
3b=42
Divide both sides by 3
(3b)/3=(42/3)/3
Simplify
b= 14
(Brainliest???) :P
i need help with this equation 20 points help quick
Answer:
The equation of the graph after translating one unit to the left is;
[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]
Step-by-step explanation:
The given equation is [tex]y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3[/tex]
We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4
Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;
[tex]y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]
The equation of the graph becomes;
[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex].
solve 75cm ratio 1m
Step-by-step explanation:
Hello!!
Given that,
one is 75 cm and other is 1m.
now, let's convert 1m into cm.
so, 1m=100cm.
now,
ratio of 75cm to 100 cm = 75/100
=3/4
= 3:4 ...is answer.
Therefore, the ratio is 3:4.
Hope it helps..
Answer:
Ahhh
Step-by-step explanation:
I have this question too!!!
JUST DO IT ALREADY!!! WILL MARK AS BRAINLIEST In a certain lottery, 3 balls are drawn (at random) from 10 white balls numbered from 1 to 10, and one special ball is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize? PUT THE CORRECT ANSWER IN ALREADY!!!!!
Answer:
4/30 is the answer the probability is 4/30
Anyone, I need help... Just answer the 6 (c)....and also proper working.☺️
Answer:
(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²
(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²
Step-by-step explanation:
(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²
The graph of the function between the values of 0 and 6 inclusive is found as follows;
A, 3·p²
0, 0
1, 1
2, 12
3, 27
4, 48
5, 75
6, 108
Please find attached the graph of A to 3·p²
From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²
The area of the rabbit cage when the width is 5.2 m = 81.5 m²
(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;
The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width
The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p
Where the total length of the wire mesh available = 40 meters for the cage
The 40 meters of wire mesh will be used round the perimeter of the cage
∴ 40 m. = 8·p
p = 40/8 = 5 m.
At p = 5 m. the area is given as A = 75 m².
Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².
Johnathan rented a car from Hertz for two different trips. On his first trip he drove 88 miles and it cost him $428. On his second trip it cost him $673 to go 158 miles. Create an equation for renting a car from Hertz. How much would it cost him if he drove 388 miles?
Answer:
The equation for renting a car is ;
y = 3.5x + 220
where y is the rental cost and x is the number of miles driven
The cost of rising 388 miles is $1,578
Step-by-step explanation:
88 miles cost $428 while 158 miles cost 673, now we want to create an equation that represents renting a car from Hertz
We can make this in form of a plot with us having 2 data points here.
let the value y represent the cost of driving and x represent the number of miles driven.
So the kind of relationship we want to establish is a linear one that looks like ;
y = mx + c
Now let’s calculate the slope m with the two data points
The two points are; (88,428) and (158,673)
So the slope would be; (673-428)/(158-88) = 245/70 = 3.5
So what is left is the y intercept. To find this , we can make use of any of the two data points
Let’s say (88,428) in this case , so we have
528 = 88(3.5) + c
c = 528-88(3.5) = 528 - 308 = 220
So this means that our equation takes the form;
y = 3.5x + 220
where y represents the cost of traveling and x represents the number of miles driven
Now to the second part of the question, we want to know the cost of driving 388 miles
Just substitute the value 388 into the equation
y = 3.5(388) + 220
y = 1358+ 220 = $1,578
It is given that a:b=1:2 and b = 3c.Find a:b:c.
Please help me to solve this question with steps,thanks! orz
Answer:
3 : 6 : 2
Step-by-step explanation:
Given
b = 3c ( divide both sides by 3 )
c = [tex]\frac{1}{3}[/tex] b , that is
c = [tex]\frac{1}{3}[/tex] × 2 = [tex]\frac{2}{3}[/tex]
Thus
a : b : c = 1 : 2 : [tex]\frac{2}{3}[/tex] ( multiply all parts by 3 )
a : b : c = 3 : 6 : 2
Your family used two full tanks ofgasoline on a road trip. Your car drives about 25 miles per gallon, andthe tank holds 12 gallons of gasoline.a. Find the approximate number of gallons of gasoline used on the trip.b. Find the approximate number of miles you drove on the trip.c. Calculate Assume gasoline costs $1.50 per gallon. How much didyou spend per mile on gasoline?d. Apply You have $20 to spend on gasoline for another trip. The trip is350 miles. You spend the same amount per mile on gasoline as onthe first trip. Do you have enough money for gasoline? Explain.
Answer:
a. 24
b.600
c.36
d. No
Step-by-step explanation:
a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.
b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.
c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36
d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.
Please Help!! Brainliest for Right anwser!
3) The Buendorf family has agreed to let their children get some animals. The kids said they
want chickens and goats, so the parents told them the number of chickens could be four
times that of the number of goats. They are allowed to have no more than 30 total animals.
What are the possible number of chickens and goats?
Answer:
The possible number of goats is 6 and the possible number of chicken is 24
Step-by-step explanation:
Let
chicken=c
Goat=g
the number of chickens could be four times the number of goats
c=4g
Total number of animals=30
c+g=30
Recall, c=4g
So,
c+g=30
4g+g=30
5g=30
Divide both sides by 5
5g/5=30/5
g=6
Recall,
c+g=30
c+6=30
c=30-6
=24
c=24
The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals
***Will mark all right answers brainliest*** A certain type of bacteria is being grown on a Petri dish in the school’s biology lab. Inez does some measurements and determines that the area of the bacteria covering the Petri dish is doubling each day. She started the bacteria colony on February 9 and predicts that it will cover the entire Petri dish by February21 . If 100% of the Petri dish is covered after 12 days have passed, what percentage was covered on the starting day? Use your equation from part (b) plz explain
Answer:
On day 0 (starting day), the percentage of petri dish occupied by bacteria was 2.44%
Step-by-step explanation:
Rate of growth = 2 (i.e. doubles every day)
Petri dish was filled to 100% on day 12.
Let
P(0) = percentage of Petri dish occupied on day 0, then
equation of percentage a function of time in x days
P(x) = P(0)*r^x ......................(1)
where
100% = P(12) = p(0) * 2^12 = 4096 P(0)
=>
P(0) = 100% / 4096 = 0.0244%
Next, to find percentage on February 14 (Valentine's day!)
Day 0 is February 9, so February 14 is the fifth day, so x=5.
Substitute x=5 in equation (1) above,
P(x) = P(0)*r^x
P(5) = P(0)*2^5
P(5) = 0.0244*2^5 = 0.0244*32 = 0.781%
Ans. the 0.781% of the petri dish was filled with bacteria after 5 days on February 14th.
Answer:
0.0244%
Step-by-step explanation:
A = p(1 + r)^t
The future amount is 100, for 100 percent. From February 9 to February 21, there are 12 days. The rate of growth is 100% since the amount doubles each day. t = 12, for 12 days. p = beginning percentage.
100 = p(1 + 1)^12
log 100 = log [p(1 + 1)^12]
2 = log p + 12 log 2
log p = 2 - 12 log 2
p = 10^(2 - 12log 2)
p = 0.0244
Answer 0.0244%