Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
1. x2 - 3x + 2
Type of factoring :
Factors:
Help is a test please
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
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza
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
Can someone help me
i need help with this one, NOW!
Answer:
It is 25 degrees.
Step-by-step explanation:
i need help badly due today
Answer:
Solid A
Step-by-step explanation:
Help me find the volume of the figure.
Answer:
Step-by-step explanation:
since it is a cuboid use this formula
volume of a cuboid=l*w*h
=2*8*3
Thank you Brainly for helping me beat edg2020-2021
Answer:
Wat does that mean?
Step-by-step explanation:
Plsss help no links or files pls will give brainlest
Answer:
4 or....
Step-by-step explanation:
I think its 4. maybe not
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 area of each figure. Round to the nearest tenth if necessary.
Answer:
Solution given:
1.
diameter(d)=6mm
base(b)=8mm
height (h)=5mm
Area of figure=area of parallelogram +area of semi circle
base*height+½π(d/2)²8*5+½*π×(6/2)²40+14.1454.4mm²Area :54.14mm²2.
for triangle
base[b]=6ft
height(h)=9ft
for square
length[l]=9ft
Area of figure=area of square +area of triangle
=l²+½*b*h=9²+½*6*9=81+27=108ft²Area: 108ft²Compare 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.
[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
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
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
find the HCF of 84, 120 and 360
Answer:
12
Step-by-step explanation:
A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What is the area of the flower bed
9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
__
In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
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
for his long distance phone service, lamar pays a 6 dollar monthly fee plus 8 cents per minute. last month, lamars long distance bill was 14.96. for how many minutes was lamar billed
Answer:
112
Step-by-step explanation:
14.96-6 = 8.96, divide 8.96 by 0.08 and it comes out to 112 which would be how much minutes in total Lamar used.
0.08 being cents per minute
8.96 being the total amount used after the initial $6 monthly fee
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...SOMEONE PLEASE HELP!
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.
Please also on this 1
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
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:
I need a bit of help pls.
Answer:
#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats
#7. 1 - 40 pounds #8. 11 - 20 pounds
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.
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