Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500
Katrina is rolling a six-sided number cube.
1) Determine the probability Katrina will roll a number equal to or less than 2.
2) Determine the probability Katrina will roll a number greater than 2.
Answer:
Step-by-step explanation:
1. 1 or 2 so 2 options
2 out of 6 is 33%
2. 3 or 4 or 5 or 6 so 4 options
4 out of 6 is 66%
1/3x + 2 =4 I need it ASAP
Answer:
x=1/6 or 0.16
Step-by-step explanation:
x has to be whatever makes the equation true.
does 1/3 +2= 4 alone no does it = 4 when you do the 1/3(1/6) yes
7.
A company is able to sell 600 of its product in the first year of business.
products it is able to sll decreases by 20%. If this trend continues:
Each year however, the amount of
a) How many products will it be able to sell in year 5?
b) How many products will it have sold over the course of 5 years?
9514 1404 393
Answer:
246 products in year 52017 products over 5 yearsStep-by-step explanation:
The n-th term of the geometric series is ...
an = a1(r^(n-1))
for first term a1 and common ratio r. The common ratio here is the growth factor: 1 -20% = 0.8. This means the 5th term (5th year sales) will be ...
a5 = 600(0.8^(5-1)) ≈ 246 . . . . . products sold in year 5
The sum is given by ...
sn = a1(1 -r^n)/(1 -r) = 600(1 -0.8^5)/(1-0.8) = 2017
The company will have sold about 2017 products over 5 years.
The Thompson family is buying a car that can travel 70 miles
Answer:
The car gets 35 miles per gallons.
Step-by-step explanation:
A sphere has a radius of 2 m. Calculate its surface area. Round to the nearest whole number
a
b.
50 sq.m
113 sq.m
C.
d.
212 sq.m
103 sq.m
Please select the best answer from the choices provided
A
Answer:
50 square meters should be your answer
Step-by-step explanation:
The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)
if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]
let us break this down into two pieces:
4π = 12.5663706144
2[squared] = 4
Then when we multiply our answers:
12.5663706144 * 4 = 50.2654824576
since it says to round it to the nearest whole number, we can round this to 50
I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!
Please rate and heart if my answer helped you!!!!
Find the area of the circle
Answer:
49 is the area for the circle
Need help plzzzzzzzzzzxx
9514 1404 393
Answer:
(a) 15/17
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the cosine relation:
Cos = Adjacent/Hypotenuse
cos(P) = PQ/PR
cos(P) = 15/17
Please help I’ll mark you as brainliest if correct!
Answer:
B
Step-by-step explanation:
brainliest?
Solve for x if 5^x=200
Answer:
x ≈ 3.29
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x = [tex]\frac{ln(200)}{ln(5)}[/tex]
Decimal Form:
x = 3.29202967 … ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)
Answer:
ln200/ln5
Step-by-step explanation:
ln5^x=ln200
xln5=ln200
x=ln200/ln5
me prions for apples per pound are listed
in the table.
$2.99
$1.29
$1.89
$1.59
$0.99
What is the mean price of apples
per pound?
F $1.75
G $1.59
H $1.14
$2.00
Answer:
Its F $1.75
Step-by-step explanation:
Because you add all the numbers up then once you get your answer you divided it by how many numbers there are like you'll get 8.75 divide it by 5 and you have your answer
Answer:
The Answer is H $1.14
Step-by-step explanation:
First You have to add both mean in the second column:
$1.29+0.99=$2.28
Then you have to divide the price that u given in the second column that u get after u add both the price :
$2.29/2=1.14
∴The mean price of apples per pound is $1.14
2. A penguin is setting on an iceberg 157 feet above the water? If a walrus is in the water 312 feet from the base of the iceberg, what is the angle of depression from the penguin to the walrus?
Answer: 26.7
Step-by-step explanation:
Answer:
26.7
Step-by-step explanation:
A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 138 cars owned by students had an average age of 5.13 years. A sample of 111 cars owned by faculty had an average age of 7.75 years. Assume that the population standard deviation for cars owned by students is 3.45 years, while the population standard deviation for cars owned by faculty is 2.08 years. Determine the 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.
Answer:
The point estimate for the true difference between the population means is of -2.62 years.
The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of variances.
A sample of 138 cars owned by students had an average age of 5.13 years. The population standard deviation for cars owned by students is 3.45 years.
This means that:
[tex]\mu_{s} = 5.13, \sigma_{s} = 3.45, n = 138, s_s = \frac{3.45}{\sqrt{138}} = 0.2937[/tex]
A sample of 111 cars owned by faculty had an average age of 7.75 years. The population standard deviation for cars owned by faculty is 2.08 years.
This means that [tex]\mu_{f} = 7.75, \sigma_{f} = 2.08, n = 111, s_f = \frac{2.08}{\sqrt{111}} = 0.2658[/tex]
Difference between the true mean ages for cars owned by students and faculty.
s - f
Mean:
[tex]\mu = \mu_s - \mu_f = 5.13 - 7.75 = -2.62[/tex]
This is the point estimate for the true difference between the population means.
Standard deviation:
[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2937^2+0.2658^2} = 0.3961[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs = 1.96*0.3961 = 0.78[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is -2.62 - 0.78 = -3.4
The upper end of the interval is the sample mean added to M. So it is -2.62 + 0.78 = -1.84
The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.
Solve for x and show work!
Answer: x=8
Step-by-step explanation:
We know that it is a square, so the diagonals divide the four triangles evenly.
A whole circle will have 360°. When it is divides into 4, each angle will be
360/4=90°
The vertex of each triangle will be 90°
And the given vertex equation is 8x+26
8x+26=90
8x+26-26=90-26
8x=64
x=8
Hope this helps!! :)
Please let me know if you have any questions
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
DONT IGNORE!!! I NEED HELP: NO LINKSS
Answer:
39 ft²
Step-by-step explanation:
11 ft × 3 ft = 33 ft²
2 ft × 3 ft = 6 ft²
33 ft² + 6 ft² = 39 ft²
what is 13.646 rounded to the nearest whole number
Answer:
The answer is 14.
Step-by-step explanation:
for brainliest please help
The value of x in given figure is 100°
What do you mean by the term Angle ?
An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.
An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.
According to question
In ΔABC ,
∠ C is 100°
So,the value of x is also 100°( by vertically opposite angle)
Learn more about Right angle here
https://brainly.com/question/7116550
#SPJ1
What two fractions have a sum of 3/5
Answer:
2/5+1/5=3/5
Step-by-step explanation:
What I think ur trting to say; Noah is thinking of two fractions that have the same sum of 3/5. Each fraction has a numerator of 1. What are the denimonitors of the fractions? Enter your answers in the box
answer
2 and 10
Evaluate the expression for x = 2 and y = 4 . (x ^ 5 * y ^ 7) / (x ^ 3 * y ^ 5) numbers only
Answer:
Answer is 64.
Step-by-step explanation:
524288/8192 = 64
Please help As Soon As Possible
Answer:
12, sorry if I'm wrong
Step-by-step explanation:
hope it helps
Answer:
Both are correct
Step-by-step explanation:
Tan = Opposite / Adjacent
Tan A = 3/4....... therefore she is correct
Tan C = 4/3........therefore she is also correct
Please mark as brainliest for further answers :)
The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?
Answer:
Height of computer screen in inches = 8.48 inches (Approx.)
Step-by-step explanation:
Given:
Diagonal of screen of laptop computer = 19 inches
Width of screen of laptop = 17 inches
Find:
Height of computer screen in inches
Computation:
Screen diagonal, width and height makes a right angle triangle
So,
Using Pythagoras theorem;
Perpendicular = √Hypoteneus² - Base²
Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²
Height of computer screen in inches = √(19)² - (17)²
Height of computer screen in inches = √361 - 289
Height of computer screen in inches = 8.48 inches (Approx.)
Ava read 126 books in 12 months. How many books per month did she read? Show your work
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]5\sin(2x)=3\cos(x)[/tex]
To do so, we can rewrite the equation.
Recall the double-angle identity for sine:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
By substitution:
[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]
Distribute:
[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]
We can subtract 3cos(x) from both sides:
[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]
And factor:
[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
A. cosx(10sinx-3)=0
Step-by-step explanation:
5(2sinxcosx)=3cosx
10sinxcosx-3cosx=0
cosx(10sinx-3)=0
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answer:
120
Step-by-step explanation:
You have 15 inches and 1 and 8 devide 15 multiply 1 and 8
Answer:960? correct for me!
Step-by-step explanation:
Pls help with this ASAP :)
Answer:
No Solution
Step-by-step explanation:
-8x - 2(7+2x) = -6(2x+5)
-12x - 14 = -12x - 30
-14 = -30, False
No Solution
HELP PLEASEEEE!!! SOMEONE HELP ME FOR ONCE, NO ONE IS ANSWERING MY QUESTIONS AND IM SO FREAKING STRESSED OUT. OH MY GOD SOMEONE PLS IM BEGGING YOU EXPLAIN YOUR ANSWER STEP BY STEP FOR ONCE
In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.
a) 112,000 members
b) 78,000 members
c) 151,000 members
d) 127,000 members
Answer:
I have come to the conclusion that it is A. 112,000
Answer:
d) 127,000 members
Step-by-step explanation:
In this problem we have an exponential function of the form
where a is the initial value
b is the base
The base is equal to b=1+r
r is the average rate
In this problem we have a=23,000 members
r=5%=5/100=0.05
b=1+0.05=1.05
substitute
x ----> is the number of years since 1985
How many members will there be in 2020?
x=2020-1985=35 years
substitute in the function
Round to the nearest thousand
factoring review 2 terms 1-8
Answer:
ok
Step-by-step explanation:
whats the question?
(Find the VOLUME)
Please help I’m being ya I really don’t wanna stay up late (NO LIKE) (NO LYING)
Answer:
okay first of all I can't see anything and second of all if you wanna find answer to this the use calculator, multiply the 3 digits of length, width and height
Determine the area of the composite figure.
Answer:
240
Step-by-step explanation:
Split the firgue into shapes you know
rectangle and Trapezoid
A = bh
A = 10×6
A = 60
A = 1/2h(b+b)
A = 1/2×12(10+20)
A = 6(30)
A = 180
180 + 60 = 240
240
Answer:
420 cm²
Step-by-step explanation:
Area of composite shapes
To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes. Other composite shapes may have cut-out sections.Solve
To find the composite area of two or more shapes, simply find the area of each shape and add them together.
So,
18 cm × 20 cm = 360
10 cm × 6 cm = 60
Now, add the results together
360 + 60 = 420
Therefore, the area of the composite figure is 420 cm²
Question 20(Multiple Choice Worth 2 points) (01.02 LC) Which number has a 9 that is one tenth the value of the 9 in 296? 195 409 981 1,956 NO LINKS HELP ASAP
Answer:
409 i would say
Step-by-step explanation:
very sorry is its wrong!!! :(
Answer:
prob d im guessing :^)
Step-by-step explanation:
tell me if i got it right or wrong i will fix if needed
