Answer:
The first term is 8
The common ratio is 2, because the ratio of 8:16 is 1:2 and the ratio of 16:32 is 1:2
Step-by-step explanation:
Answer:
The common ratio of the following geometric sequence is x2 everytime.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.
Answer:
1 = 100% probability that a person will wait for more than 33 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean waiting time is 55 minutes and the variance of the waiting time is 11.
This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]
Find the probability that a person will wait for more than 33 minutes.
This is 1 subtracted by the p-value of Z when X = 33. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]
[tex]Z = -6.63[/tex]
[tex]Z = -6.63[/tex] has a p-value of 0.
1 - 0 = 1
1 = 100% probability that a person will wait for more than 33 minutes.
find the value from the given photo
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator
= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]
= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]
= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]
= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]
= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]
= - [tex]\frac{3}{9}[/tex]
= - [tex]\frac{1}{3}[/tex]
Compare the two leagues and predict which league would be more likely to win a game. 2 tables. Table 1 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 34, 45, 62, 92, 111. Column 2 is labeled W with entries 50, 65, 72, 83, 105. Table 2 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 72, 80, 88, 97, 109. Column 2 is labeled W with entries 79, 84, 87, 89, 102.
Answer:
79
Step-by-step explanation:
Answer:
edge 2021
Step-by-step explanation:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.
find the HCF of 84, 120 and 360
Answer:
12
Step-by-step explanation:
Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 12 cm, and the altitude is 6 cm.
6 cm
A. 84 cm
B. 24 cm
C. 40 cm
D. 60 cm
Answer:
A. 84 cm²
Step-by-step explanation:
Surface area of triangular prism = 2(base area) + (Perimeter)*height of prism
Base area = 6 cm² (given)
Perimeter = 12 cm
Altitude = height of prism = 6 cm
Plug in the values into the formula
Surface Area of triangular prism = 2(6) + (12)*6
= 12 + 72
= 84 cm²
A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start, and an electric air pump is filling it with air at the rate of 1600 cubic Inches per minute. The formula for the volume of a sphere is 4pi (r^3/3)
Part A Enter an equation for the amount of air still needed to fill the ball to its maximum volume, y, with respect to the number of minutes the pump has been pumping air into the ball, X.
Part B Enter the total amount of air, in cubic inches, still needed to fill the ball after the pump has been running for 4 minutes.
Part C Enter the estimated number of minutes it takes to pump up the ball to its maximum volume.
Answer:
A) A(t) = 4500*π - 1600*t
B) A(4) = 7730 in³
C) t = 8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max = 30 r max = 15 in
V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³
V(s) = 4500*π
A) Amount of air needed to fill the ball A(t)
A(t) = Total max. volume of the sphere - rate of flux of air * time
A(t) = 4500*π - 1600*t in³
B) After 4 minutes
A(4) = 4500*π - 6400
A(4) = 14130 - 6400
A(4) = 7730 in³
C) A(t) = 4500*π - 1600*t
when A(t) = 0 the ball got its maximum volume then:
4500*π - 1600*t = 0
t = 14130/1600
t = 8,8 sec
The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. Suppose that we take a random sample of 10 Florida State students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is
Answer:
By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Average of 1,200 dollars and a standard deviation of 900 dollars.
This means that [tex]\mu = 1200, \sigma = 900[/tex]
Sample of 10.
This means that [tex]n = 10, s = \frac{900}{\sqrt{10}} = 284.6[/tex]
The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
The sampling distribution of the sample mean amount of money in a savings account is mean of 1,200 and standard deviation of 284.6 dollars.
Calculation of mean & standard deviation:Since the distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. And, a random sample of 10.
So here the mean should be $1,200
And, the standard deviation should be
[tex]= 900 \div \sqrt10[/tex]
= $284.6
learn more about mean here: https://brainly.com/question/9588526
i need help badly due today
Answer:
Solid A
Step-by-step explanation:
HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.
Answer:
yes
Step-by-step explanation:
euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???
Does it matter what the diagonals are etc?
if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.
A box contains six black pens, four blue pens, and seven red pens. Without
looking, Clarissa randomly picks a red pen out of the box. If she chooses
another pen out of the box without replacing the first one, what is the
probability that she will pick a red pen next time? Write your answer as a
percent rounded to the nearest tenth.
21 total pens
- 1 red pen
20 pens total
6/20 red pens left
6/20 = 3.3333
= 3.3
Answer it Please Please and thank you
Answer: 3 17/20
Step-by-step explanation:
8.25 as a fraction is 8 1/4
Helpppppp me right now!
Answer:
B and D
7/12 cups
Step-by-step explanation:
2 1/3 + 2 1/4 = cups of flour needed
4 = cups of flour had
2 1/3 + 2 1/4
To have the same denominator, we take the lcm
2 + 2 + (4/12 + 3/12) =
2 4/12 + 2 3/12 - 4
Or
2 + 2 + (3 + 4) / 12 - 4
2 + 2 + (3 + 4) / 12 - 4 = 4 7/12 - 4
4 7/12 - 4 = 7/12 cups of flour needed
i need help with this one, NOW!
Answer:
It is 25 degrees.
Step-by-step explanation:
monica is standing in a building looking out a window at a tree the tree is 121 feet away from monica monica line of sight to the top of the tree creates a 42 degree angle of depression. what is the height of the tree rounded to the nearest tenth
Answer:
89.9 feets
Step-by-step explanation:
The diagrammatic representation of the problem is attached below.
The height, h of the tree can be calculated using the trigonometric relation :
Cosθ = adjacent / hypotenus
Cos 42 = h / 121
0.7431448 = h / 121
Height, h of tree = 121 * 0.7431448
Height = 89.9 feets
1. x2 - 3x + 2
Type of factoring :
Factors:
Help is a test please
if no digit appears more than once how mang 2-digit numbers can be formed from the digits 1,3,5, and 7?
Answer:
12
Step-by-step explanation:
You can choose the first digit 4 ways.
After that and since we want no repeats, we can choose the third digit 3 ways.
4 times 3 =12
Answer:
12 Mark me as brainliest!!
Step-by-step explanation:
how many 2-digit can be formed from the digits...
Combine all the digits without repeating
13, 15, 17
31, 35, 37
51, 53, 57,
71, 73, 75
12 digits
Use a factor tree to find the prime number factors. Answer in the following format: Example--> 2 x 2 x 2 Find the prime number factors for "16
Answer:
Look at the image.
Step-by-step explanation:
16 = 2 × 2 × 2 × 2
36 = 2 × 3 × 2 × 3
Five less than the product of 8 and y
for 30 points
Answer:
3 I think hope it helps.
Step-by-step explanation:
only ⌛ will tell
Answer:
8y-5 isn't realy a question tho...
Step-by-step explanation:
Ms. Robinson gave her class 12 minutes to read. Carrie read 51/2 pages in that time. At
what rate, in pages per hour, did Carrie read?
1 1/10
22
27 1/2
66
Answer:
27 1/2
Step-by-step explanation:
tessa burned 357 calories in 42 minutes on the elliptical. ashley only spent 30 minutes on the elliptical and burned 267 calories. who burned calories at a faster rate
SOMEONE PLEASE HELP!
x(x+1)+(x+1)(x+2)+(x+2)(x+3) solve the equation for x
Answer:
3x²+9x+8
Step-by-step explanation:
x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)
x²+x+x²+2x+x+2+x²+3x+2x+6
x²+x²+x²+x+2x+x+3x+2x+2+6
3x²+9x+8
Answer:
[tex]3 x^{2}[/tex] + 9[tex]x[/tex] + 8
(This is an expression, not an equation so you can't find x with this expression. Equations have an = sign which can help isolate x on one side to find the value of x. This is the closest thing you could do for an answer for this expression.)
Step-by-step explanation:
x(x+1)+(x+1)(x+2)+(x+2)(x+3)
= (x)(x) + (x)(1) + (x)(x) + (x)(2) + (1)(x) + (1)(2) + (x)(x) + (x)(3) + (2)(x) + (2)(3)
= x^2 + x + x^2 + 2x + x+ 2 + x^2 + 3x + 2x + 6
= (x^2+x^2+x^2) + (x+2x+x+3x+2x) + (2+6)
= [tex]3x^{2}[/tex] + 9[tex]x[/tex] + 8
So first you expand the brackets and then you combine like terms.
8. True or False. The correlation coefficient is a measure of the strength of an
association between two variables.
Select the correct answer.
This graph represents a function.
y
A
8-
61
+
2-
X
-8
-6
-4
- 2
2
4
6
8
-2
-4
-6-
-8
Which table contains points from the inverse of the graphed function?
A.
X х
-4
-3
-2.
-1
3
- 3
y
-1
1
B.
Х
-3
-1
3
1
у
-4
-3
-1
-2
.
-3
Х
3
- 1
2.
1
3
1
y
4
D.
Х
1
4
2
3
y
-3
-1
3
9514 1404 393
Answer:
B
Step-by-step explanation:
To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.
There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.
After you swap the axis labels you see that the points ...
(x, y) = (1, -2) or (-1, -3)
are on the graph. These points are only found in the table of selection B.
The table contains points from the inverse of the graphed function is B. Table 2.
What is a graph?A graph simply means a diagram that represents the variation of a variable when being compared with other variables.
In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.
Learn more about graphs on:
https://brainly.com/question/14323743
what is sin B?
A. 6/7.81 C. 5/7.81
B. 5/6 D. 7.81/6
what is cos B?
A. 6/7.81 C.5/7.81
B. 5/6 D. 6/5
what is tan B?
A. 7.81/5 C. 5/7.81
B. 5/6 D.6/5
Step-by-step explanation:
sinB=p/h
6/7.81A is yr anscosB=b/h
5/7.81C is yr anstan B= p/b
7/5D is yr ansstay safe healthy and happy...Can someone help me
A population of rabbits increases 30.8% each year. If the rabbit population is currently 75,
how many years will it take for the rabbit population to reach 5,400?
Answer:
176
Step-by-step explanation:
175 is not enough. Good luck
Plsss help no links or files pls will give brainlest
Answer:
4 or....
Step-by-step explanation:
I think its 4. maybe not
Х
What is the solution to the equation 3+ 6 + 2?
3
X = 2
7
X = 3
x= 3
x = 7
Please help
Answer:
hope this help you a lot
good luck
[tex]3^{x} = 4[/tex]
4^{y} = 12
estimate xy
9514 1404 393
Answer:
xy ≈ 2.3
Step-by-step explanation:
Logarithms can be used to find x and y.
3^x = 4
x·log(3) = log(4)
x = log(4)/log(3)
__
4^y = 12
y = log(12)/log(4)
__
Then xy is ...
xy = log(4)/log(3) × log(12)/log(4) = log(12)/log(3)
xy ≈ 1.079/0.477
xy ≈ 2.26