Answer:
240 ft²
Step-by-step explanation:
The shape is composed of a rectangle and a triangle.
The area of the shape = area of the triangle + area of the rectangle
= ½*bh + L*W
Where,
b = base of triangle = 24 ft
h = height of triangle = 12 - 8 = 4 ft
L = length of rectangle = 24 ft
W = width of rectangle = 8 ft
Plug in the values into the equation
Area of the shape = ½*24*4 + 24*8
= 48 + 192
= 240 ft²
What is the common ratio of the geometric sequence below 625,125,25,5,1,...
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
In the geometric sequence we can see each time we are dividing by 5. That is the same as multiplying by [tex]\frac{1}{5}[/tex] so that is the common ratio.
5 people are going to a dinner party. Each person at the party will eat 24 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?
- My sister needs help with this but i have no idea
Answer:
The Answer is 120
Step-by-step explanation:
The answer is 120 because 5*24 is 120
A: A
B: B
C: C
D: D
Show work!
Answer: A
Step-by-step explanation:
Area of a triangle is base times height
We have a base made by point m and n with a length of 6
now the third point has to form a height which when put with the base, gets you 18
area of triangle is bh/2
so lets set height as h, 6x/2 = 18 6x = 36 x = 6
This means the point has to be 6 apart either left or right. Only point that matches this is a.
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of days of operation shows a sample mean of rooms occupied per day and a sample standard deviation of rooms. a. What is the point estimate of the population variance (to nearest whole number)? b. Provide a confidence interval estimate of the population variance (to nearest whole number). ( , ) c. Provide a confidence interval estimate of the population standard deviation (to 1 decima
Answer:
Step-by-step explanation:
a) The point estimate of the population variance is 900 (rooms squared).
b) The 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).
c) The 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.
a. The point estimate of the population variance can be calculated using the formula:
Point estimate of population variance = Sample standard deviation squared
= (30 rooms)²
= 900 rooms²
Therefore, the point estimate of the population variance is 900 (rooms squared).
b. To calculate the 90% confidence interval estimate of the population variance, we need to use the Chi-Square distribution.
The formula for the confidence interval of the population variance is:
Lower bound: (n-1)*sample variance / Chi-Square upper critical value
Upper bound: (n-1)*sample variance / Chi-Square lower critical value
Since we are interested in a 90% confidence interval, the Chi-Square critical values for the upper and lower tails with (n-1) degrees of freedom are 8.907 and 32.852, respectively.
Plugging in the values, we have:
Lower bound: (20-1)*900 / 32.852
≈ 486
Upper bound: (20-1)*900 / 8.907
≈ 1706
Therefore, the 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).
c. To calculate the 90% confidence interval estimate of the population standard deviation, we take the square root of the lower and upper bounds of the confidence interval for the variance.
Square root of the lower bound: √486
≈ 22.0
Square root of the upper bound: √1706
≈ 41.3
Therefore, the 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.
Learn more about the confidence interval here:
https://brainly.com/question/31420373
#SPJ4
The correct question is as follows:
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms.
a. What is the point estimate of the population variance (to nearest whole number)?
b. Provide a 90% confidence interval estimate of the population variance (to nearest whole number).
c. Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).
What is x3 – 25x factored completely
Answer:
x(x2-25)=o
x=0;x=5 and -5
Answer:
[tex] {x}^{3} - 25x \\ = x( {x}^{2} - {5}^{2} ) \\ = x(x - 5)(x + 5)[/tex]
annual survey in which readers rate their favorite cruise ship. All ships are rated on a -point scale, with higher values indicating better service. A sample of ships that carry fewer than passengers resulted in an average rating of , and a sample of ships that carry or more passengers provided an average rating of . Assume that the population standard deviation is for ships that carry fewer than passengers and for ships that carry or more passengers. Round your all answers to two decimal places.
This question is incomplete, the complete question is;
Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.
A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.
Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.
Answer:
value of the test statistic is 4.13
Step-by-step explanation:
Given the data in the question;
fewer than 500 passengers more than 500 passengers
n₁ = 37 n₂ = 44
x'₁ = 85.36 x'₂ = 81.40
s₁ = 4.55 s₂ = 3.97
Now, to get the test statistics, we use the following formula;
z = (x'₁ - x'₂) / √( [tex]\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}[/tex] )
we substitute
z = ( 85.36 - 81.40 ) / √( [tex]\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}[/tex] )
z = 3.96 / √( [tex]\frac{20.7025}{37} + \frac{15.7609}{44}[/tex] )
z = 3.96 / √( 0.5595 + 0.3582 )
z = 3.96 / √0.9177
z = 3.96 / 0.957966596
z = 4.1337 ≈ 4.13
Therefore, value of the test statistic is 4.13
If 25x2 – 35x – 18 is written as a2 – 7a – 18, what is a in terms of x?
a =
Answer:
a = 5x
Step-by-step explanation:
The value of an in terms of x will be a = 5x.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expressions are 25x² – 35x – 18 is written as a² – 7a – 18.
The value of an in terms of x will be calculated as:-
25x² – 35x – 18
a² – 7a – 18.
Compare the first term of the two equations,
25x² = a²
a = √25x²
a = 5x
To know more about an expression follow
https://brainly.com/question/20724072
#SPJ2
Is this answer correct? If not, which one is correct?
Answer:
correct
Step-by-step explanation:
Which type of sequence is shown? -2, 0, 2, 4, 6, . . .
Answer:
The type of sequence that is show is an arithmetic sequence
Step-by-step explanation:
which of the following us the graph of f(x)=-0.5| x+3| -2
Josh's annual salary is $39.000. A total of $12.330.96 will be deducted for taxes and health insurance. He will receive his paycheck monthly in 12 equal installments. How much will he get paid with each paycheck?
Answer:
Step-by-step explanation:
without tax and insurance deduction- 3,250 (monthly)
with tax and insurance deduction-26,669.04/12=2,222.42 (monthly)
How many square metres is equivalent to 12 370 cm2?
please answser ASAP
Answer:
the answer is 1.2370 .. give me brainliest
Change 10 miles per hour to meters per second (hint: you'll need to
change from miles to kilometers, then change kilometers to meters)
how do i do this work shown!!
Answer:
10 miles per hour = 0.1862 meter per second
Step-by-step explanation:
Given
Speed in miles per hour = 10 miles per hour
As we know
1 mile = 1609.34 meters
and 1 hour = 24*60 *60 seconds
Thus, 10 miles per hour in meter per second would be
10 * 1609.34/24*60 *60
= 0.1862 meter per second
ABCD is a kite, find the value of y
Answer:
All triangles add to 180 degrees.
180 = 90 + 40 + angle ABX
angle ABX = 180 - 90 - 40
Angle y = 50
Step-by-step explanation:
missing coordinates to complete the following ordered pair y+4x=7
Answer:
(1,3)
Step-by-step explanation:
This might be wrong, sorry.
y+4x=7
I would think the pair is
(1,3)
ILL GIVE BRAINLIEST IF YOU GET IT CORRECT AND EXPLAIN
The linear expression -12x-18 can be written equivalently as the expression a(bx+3) where a and b are integer values.What is the value of a that makes the statement true.
What is the value of b that makes the statement true.
Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions
Step-by-step explanation:
a(bx+3) basically is just factoring out a random common factor between -12x and -18
so we can factor out a -2 to get -2(6x+9)
Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer: The answer is D) $3.35
Step-by-step explanation:
Well if we want to see the price of beef and chicken the same we should use the same variable for them making the equations
[tex]y=2.35+.25x\\y=1.75+.4x[/tex]
now let's subtract the equations for elimination
[tex]y=2.35+.25x\\-y=1.75+.4x\\\\=\\0=.6+-.15x[/tex]
now let's solve for x
[tex]0=.6-.15x\\0-.6=.6-.15x-.6\\-.6=-.15x\\\frac{-.6}{-15} =\frac{-.15x}{-.15} \\4=x[/tex]
now let's sub x into the original equations
[tex]y=2.35+.25(4)\\y=2.35+1\\y=3.35\\\\y=1.75+.4(4)\\y=1.75+1.6\\y=3.35[/tex]
Write the prime factorization of 4
Answer:
2 x 2
Explanation:
The prime numbers that multiply to 4 are 2 and 2.
Find the slope of the line passing through the given points?
(-11,7) and (-11, -2)
Answer:
oo (infinite)
Step-by-step explanation:
the slope = (-2-7)/(-11+11) = -9/0 = oo
(infinite)
A 12 SIDED DIE WITH SIIDES LABLELED 1-12 ARE ROLLED ONCE. EACH NUMBER IS LIKELY TO BE ROLLED .WHAT IS THE PROBABILITY OF ROLLING A NUMBER GREATER THAN 10
Answer:
p=.1666
11 or 12
2 out of 12
2/12
1/6
p=.1666
Step-by-step explanation:
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
Calculate the value of this investment at the end of the 5 years,
Answer:
The investment after 5 years is $ 662.45.
Step-by-step explanation:
Principal, P = $ 600
Time, t = 5 years
Rate of interest, R = 2 %
Time , t = 5 years
The amount after the time 5 years is
[tex]A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45[/tex]
So, the investment after 5 years is $ 662.45.
Can someone help me solve this
Answer:
[tex]y = {(x + 8)}^{3} - 9[/tex]
emergency helpn please i dk wut they mean
Answer:
below
Step-by-step explanation:
that is the procedure above
1/2(x-6.5) = 3.16 what is x?
Answer:
x =12.82
Step-by-step explanation:
1/2(x-6.5) = 3.16
Multiply each side by 2
1/2(x-6.5) *2 = 3.16 *2
(x-6.5) = 6.32
Add 6.5 to each side
(x-6.5+6.5) = 6.32+ 6.5
x =12.82
Answer: 12.82
Step-by-step explanation:
1/2(x-6.5)= 3.16
x=12.82
Please help me no links!!
Answer:
Slope is -3
y-intercept is -3 and equation is y=-3x-3
Answer:
Slope: -3
y-intercept: -3
Equation: y = -3x - 3
Step-by-step explanation:
1. To get the slope (m):
m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards
2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)
3. Put is all together: y = -3x - 3
On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?
the answer is 4,13 of the perimeter
Need help in understanding how to solve this problem.
>> Find an equation of the plane through (−2,3,2) and parallel to the plane 3x+y+z= 4
Answer:
Step-by-step explanation:
3x+y+z= 4
3x+ y = 4 - z
y = 4-z-3x
We then make parallel
y-2 = 4−z−3x
y-2 = 4-2 -z-3x
y-2 = 2-z-3x
y = -z-3x+2
factorise a2-17a+42
Answer:
(a-14) (a-3)
Step-by-step explanation:
Answer:
(a - 14) (a - 3)
Step-by-step explanation:
a² - 3a - 14 a + 42
a(a - 3) - 14 ( a - 3)
(a - 14) (a - 3)
What is the distance between the points (4.10) and (-3,-14) on the coordinates plane?
Answer:
25 units
Step-by-step explanation:
use the distance formula to get the square root of 24² + 7²
this will give you the square root of 625, which is 25
look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
Answer:D
Step-by-step explanation:
I think that it is D since C is obviously dependant on everything else, B is also dependant on D, and since A is dependant on D.