Answer:
$500 per week.
Step-by-step explanation:
Let Cameron earns $x as a tutor.
As his sister earns one and a half times as much as a tutor, so, his sister earns $1.5x.
Since the weekly wage of Cameron's sister is $250 more than Cameron, so
[tex]1.5x=x+250[/tex]
[tex]\Rightarrow 1.5x-x=250[/tex]
[tex]\Rightarrow 0.5x=250[/tex]
[tex]\Rightarrow x=500.[/tex]
Hence, the weekly earning of Cameron is $500.
Make a scatter plot of the data pairs, (year, revenue). Draw a trend line and write its equation. Predict the revenue of US theme parks in 2012. Someone help me please.
i think its 9.9 but if its not that its 8.7
The revenue of US theme parks in 2012 is 14.5 in dollars.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
From the given table, (1990, 5.7), (1992, 6.5), (1994, 7.0), (1996, 7.9), (1998, 8.7), (2000, 9.6), (2002, 9.9), (2004, 10.8), (2006, 11.5).
Using the coordinates (1990, 5.7) and (1992, 6.5), we get
Slope m=(6.5-5.7)/(1992-1990)
= 0.8/2
= 0.4
Substitute m=0.4 and (x, y)=(1990, 5.7) in y=mx+c, we get
5.7=0.4×1990+c
c=5.7-796
c=790.3
Substitute m=0.4 and c=-790.3 in y=mx+c, we get
y=0.4x-790.3
Substitute x=2012, we get
y=0.4×2012-790.3
y=804.8-790.3
y=14.5
Therefore, the revenue of US theme parks in 2012 is 14.5 in dollars.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ2
I need the awnser for number 16 I will brainlist who ever can provide the awnser
Answer:
Not rounded: 1602.342
Rounded: 1602.3
Step-by-step explanation:
Volume of cone : 3.14(r^2)h/3
3.14(9^2) 19/3
3.14(81)19/3
(254.34)19/3
(254.34)6.3
1602.342
Have an amazing day!!!
Please rate and mark brainliest!!
A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. Suppose that 8\%8%8, percent of the children and 12\%12%12, percent of the adults redeem their coupons. The restaurant takes separate random samples of 100100100 children and 909090 adults from their loyalty program to see the difference between the sample proportions (\hat{p}_\text{C}-\hat{p}_\text{A})( p ^ C − p ^ A )left parenthesis, p, with, hat, on top, start subscript, start text, C, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, A, end text, end subscript, right parenthesis. What will be the shape of the sampling distribution of \hat{p}_\text{C}-\hat{p}_\text{A} p ^ C − p ^ A p, with, hat, on top, start subscript, start text, C, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, A, end text, end subscript, and why?
Using the Central Limit Theorem, it is found that the sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]It also states that when two variables are subtracted, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the mean and the standard error are given by:
[tex]p_C = 0.08, s_C = \sqrt{\frac{0.08(0.92)}{100}} = 0.0271[/tex]
[tex]p_A = 0.12, s_A = \sqrt{\frac{0.12(0.88)}{100}} = 0.0325[/tex]
Then, for the distribution of differences, we have that:
[tex]p = p_C - p_A = 0.08 - 0.12 = -0.04[/tex]
[tex]s = \sqrt{s_C^2 + s_A^2} = \sqrt{0.0271^2 + 0.0325^2} = 0.0423[/tex]
The sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
PLEASE HELP!!! Find the equation of this line. All three answers please!!!
Answer:
[tex]y=-\frac{3}{4}x+3[/tex]
Step-by-step explanation:
formula for the gradient is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
we insert our intercepts to get [tex]\frac{0-3}{4-0}=\frac{-3}{4}[/tex]
and our y-intercept (where the line crosses the y-axis) is 3
Please help me asap if can!!!
Answer:
Step-by-step explanation:
2m in height : 11m in length
300m in length: 1650m in length
This is because you multiply each side by 150.
The horizontal length will be 1650m.
b) I'm so sorry. I'm in year 9 so I don't think I've learnt this. I think it might be tan. :)
n - Are x = 4 and y = 8 solutions of the equation: y = x² - 2x + 1? Circle: Yes or No
Answer:
No
Step-by-step explanation:
put 4 where x is and 8 where y is
y = x² - 2x + 1
does
8 = 4^2 -2(4) + 1
8 = 16 -8 + 1
8 = 9
Does 8 = 9 ?
No
x-y=1 solve by substitution
Answer:
2-1
Step-by-step explanation:
Rewrite in simplest term: 3(-7h-4)+4(h-6)
Answer:
-17h-36
Step-by-step explanation:
mutiply 3 by each terms inside the parenteses
you will get:
-21h-12+4h-24
-17h-36
PLease help me!!!! (:
You' ll get brainliest!!!!
Answer:
The last one
Step-by-step explanation:
The last one is the only one in standard form.
which piece wise function is graphed below
Answer:
Option A
Step-by-step explanation:
Here is how to approach the problem:
We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.
At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.
Now we have two choices left.
For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.
Vertext form is f(x) = a(x-h)^2 + k.
h being the x-coordinate of the vertex and k being the y-coordinate.
We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.
The beginning balance in a checking account is $64.98.
After a deposit of $73.87 and two withdrawals of $51.00 and $23.50, what is the balance?
O $189.85
O $138.85
O $87.85
O $64.35
Answer:
D) 64.35
Step-by-step explanation:
Please rate and mark as brainlest.
Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/3 mile every 1/2 hour. The Yellow Troop hikes 3/4 mile every 1/3 hour. How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Blue tripp:
Hikes 2/3 miles every 1/2 hour
Yellow troop:
Hikes 3/4 miles every 1/3 hour
How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
To hike 1 1/2 miles
Blue troop:
2/3 miles = 1/2 hours
3/2 miles = x
2/3x = 3/4
x = 3/4 * 3/2
x = 9/8 = 1 1/8 hours
Yellow troop:
3/4 = 1/3 hours
3/2 = x
3/4x = 3/6
x = 3/6 * 4/3
x = 12/18 = 2/3 hours
To hike 1/2 mile :
Blue troop:
2/3 miles = 1/2 hours
1/2 miles = x
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 hours
Yellow troop:
3/4 = 1/3 hours
1/2 = x
3/4x = 1/6
x = 1/6 * 4/3
x = 4/18 = 2/9 hours
To hike 3/4 miles :
Blue troop:
2/3 miles = 1/2 hours
3/4 miles = x
2/3x = 3/8
x = 3/8 * 3/2
x = 9/16 hours
Yellow troop:
3/4 = 1/3 hours
3/4 = x
3/4x = 3/12
x = 1/4 * 4/3
x = 4/12
x = 1/3 hours
Which of the following represents the fastest speed in miles per hour?
a. 8 miles in ⅙ hour b. 10 miles in ⅕ hour c. 6 miles in ⅐ hour
Answer:
b,
Step-by-step explanation:
8 miles in 1/6 hour 8*6=48 mph
10 miles in 1/5 hour 10*5=50 mph
6 miles in 1/7 hour 6*7 = 42 mph
PLEASE HELP ME
find the common factor in the given algebraic factor
x(a‐b), y(b-a)
Answer:
I think that the common factor in the given algebraic is a-b
using the spinner above, what is the probability that you land on red or blue?
Answer:
75%
Step-by-step explanation:
red is 50 and the blue is 25
what is the relationship between corresponding terms in the two sequences 2 1 4 2 6 3 8 4 10 5
Answer:
what the answer
Step-by-step explanation:
I'm unsure of what the answer to this is, I need help.
Answer:
I think it would be A
Step-by-step explanation:
Because 9/6 is 1.5 and when you do 3/2 it is also 1.5.
I hope this helps
Price is $20.00 Sales Tax is 4% What is the total cost?
Answer:
your answer is correct
Step-by-step explanation:
i don't know why i it didn't work
If the price of an item is $20.00 with a sales tax of 4%, the total cost of the item is $20.80.
How the total cost is determined using the sales tax:The total cost involves adding the price and the sales tax amount.
We can compute the total cost by determining the sales tax factor using the sales tax rate as follows:
The price of the item = $20.00
Sales tax = 4% = 0.04 (4/100)
The sales tax factor = 1.04 (1 + 0.04)
Thus, the total cost, including the price and the sales tax, is $20.80 ($20 x 1.04).
Learn more about the total cost with the sales tax at https://brainly.com/question/19865488.
#SPJ2
Simplify
I don’t get this subject
Answer: 3
You're going to multiply 3 by 2 which gives you 6. you then have 6 over 2. Next find a number that goes into both of them which is 2 in this case. So now you divide the top and bottom by 2, so now you have 3 because two divided by two is zero, that is as small as it gets.
Which of the numbers below could be terms in the sequence an=7n +4?
24
46
32
36
Answer:
46
Step-by-step explanation:
46 - 4 = 42
42/7 = 6
Answer:46 and 32 just did the quiz
Step-by-step explanation:
Jan and Col club together a book of raffle tickets. They agree to share any prize they win in the ratio 2:3. When they win Jan gets £10 how much does Col get?
Answer:
£15Step-by-step explanation:
For every £2 Jan gets, Cole gets £3.
10 ÷ 2 (Jan) × 3 (Cole) = 15
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
144cm^2
Step-by-step explanation:
0.5x8x6x2=48cm^2
8x4=32cm^2
10x4=40cm^2
6x4=24cm^2
=(48+32+40+24)cm^2
=144cm^2
If I have $6600 after investing $6000 for 5 years, what was the rate? (Write as a percent.)
Answer:
10%
Step-by-step explanation:
6600-6000=600
You've earned $600
600/6000 = 1/10 or 10%
Answer:
1.925%
Step-by-step explanation:
to check, use the equation [tex]6000(1+.01925)^5[/tex]
this gives us the value of 6600.16.
please rate 5 stars and mark as brainlest.
Point s is between points R and T on RT. RS=7 and ST = 11. What is the length of RT?
Answer:
18
Step-by-step explanation:
Because you have to add 11 to 7 and the equals 18. I hope that helped! :)
evaluate the following expression
(a+b)^0
Please help work this out
Answer:
m<1 = 69˚
Step-by-step explanation:
m<1 = 1/2(138˚)
Evaluate the expression shown for x=12 -5/6x +7
Answer:-3
Step-by-step explanation:
Look at the photo.
Sunny earns $12 per hour delivering cakes. She worked for x hour this week. Unfortunately, she was charged $15 for late delivery on Tuesday. How much money did sunny earn this week? Write your answer as an expression.
The expression that can be used to represent the total money earned is $12x - $15.
What expression represents the total amount earned?
The first step is to determine the total amount earned this wek. This can be determined by multiplying the earnings per hour by the total hours/
Total earnings = $12 ×x = $12x
Now subtract the late delivry charge = $12x - $15
To learn more about mathematical expressions, please check: https://brainly.com/question/11980704
Answer:
12x-15
Step-by-step explanation:
khan
Which one is the right answer?
A triangle has two sides of length 11 and 12. What is the smallest possible whole-number length for the third side?
Answer: 2
To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.
So by the triangle inequality theorem, 11+x>12 meaning the minimum whole number value of x is 2.