Answer:
Y = - 12.55X1 + 276.52
Step-by-step explanation:
Given the data:
Age of child :(X) : 4, 6, 10, 13, 14, 17
Time (seconds) (Y) : 230, 205, 132, 119, 108, 62
Using technology, the linear regression equation obtained using the data Given is :
Y = - 12.55X1 + 276.52
Where :
Slope = - 12.55
Intercept = 276.52
This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.
Determine if the following statements are true or false, and explain your reasoning. If false, state how it could be corrected. (a) If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will also be within a 99% confidence interval. true false
Answer:
True
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level the higher z is), s is related to the standard deviation and n is the size of the sample.
A higher confidence level leads to a larger margin of error, that is, a wider interval. The interval expands around it's lower and upper bounds, which means that if a value is part of a lower confidence interval(such as 95%), it will be part of the higher(such as 99%), and the answer to this question is true.
What’s the answer and how do you figure these out?
Answer:
140
Step-by-step explanation:
20x+60=30x+20
40=10x
x=4
and
20x+60
20*4+60
=140
Aaron, Glenn, James, Matt and Trevor stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into eight equal pieces and costs seventy cents a slice. Aaron says he will eat one-half of a pizza. Glenn says he will eat one-fourth of a pizza. James says he will eat three-eighths of a pizza. Matt says he will eat four-eighths of a pizza and Trevor says he will eat three-eighths of a pizza. How many whole pizzas do the boys order and what does each boy pay for his pizza slices? Show all your mathematical thinking.
Answer:
The correct answer is -
1. 2 whole pizza
2. each boy pay for his pizza slices are -
Aaron - $2.80
Glenn - $1.40
James - $2.10,
Matt - $2.80 and
Trevor - $2.10
Step-by-step explanation:
According to the question, Aaron, Glenn, James, Matt, and Trevor are boys who ordered pizza as per their requirements.
Total slices ordered are -1/2 of pizza or 4 for Aaron, 2 for Glenn, 3 slices for James, 4 slices for Matt and 3 for Trevor,
= 4+2+3+4+3 = 16 slices
2 pizza means = 16 slices
total price = 70 cents*16
= $11.20
each boy pay for his pizza slices are -
Aaron - $2.80 - 4 slice
Glenn - $1.40 - 2
James - $2.10, -3
Matt - $2.80 - 4
Trevor - $2.10 -3
Martha bought a 0.45-kilogram bottle of spice. She uses 60 grams a week. Is one bottle of spice enough for 9 weeks? Explain.
Answer: No.
Step-by-step explanation:
The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.
Answer:
No
Step-by-step explanation:
Half of a kilogram or 0.5 is 500 grams.
The total grams for nine weeks (60 x 9) is 540
Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.
Martha would need a 0.54 kilogram bottle to have the right amount.
1. You currently have $4,500 saved in your bank account. You have decided to use $2700.
What percentage of your savings did you use? Show all your work to justify your answer.
Answer:
60%
Step-by-step explanation:
1. 4500/100=45
2. 2700/45=60
The reason why is because 45 is 1%, so the way to find the percent is to divide 2700 by 45
Write the following geometric sequence recursively: 10, 100, 1000, 10000.*
Answer:
i think the * is 100000, each number times 10
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount
Answer: It's not equal to 20% discount.
Step-by-step explanation:
Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:
= $100 - (10% × $100)
= $100 - $10
= $90
Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:
= $90 - (10% × $90)
= $90 - (0.1 × $90)
= $90 - $9
= $81
If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:
= $100 - (20% × $100)
= $100 - (0.2 × $100)
= $100 - $20
= $80
Therefore, it's not equal to 20% discount.
in. in What is the area of this trapezoid? b2 = 5 in. h = 4 in. 3 in. 2 in. b1 = 10 in.
Answer:
30 square inches
Step-by-step explanation:
The equation for the area of a trapezoid is: (b1 + b2) x h) / 2
(10 + 5) x 4) /2
15 x 4 = 60
60/2 = 30
30 square inches
Luigi ha 2 figli di 15 e 11 anni. Fra 18 anni la sua età sarà uguale alla somma delle età che avranno i figli. Quanti anni ha oggi Luigi?
Answer:
please if you need help, type in English, thanks :)
Find the median of the data.
93.81.94.71.89.92.94.99
The median is
Find the mode(s) of the data,
Step-by-step explanation:
MEDIAN
71, 81, 89, 92, 93, 94, 94, 99
92 + 93 = 185 / 2 = 92.5
The median is 92.5
MODE
71, 81, 89, 92, 93, 94, 94, 99
The mode is 94
Hello I need this quickly pls
Answer:
Area = x² + 10x + 21
Step-by-step explanation:
Area = L * W
Length = (x + 7)
Width = (x + 3)
=> Area = (x + 7) * (x + 3)
=> Area = x² + 3x + 7x + 21
Combining like terms would result in;
=> Area = x² + 10x + 21
Hope this helps!
I need the answer pls HELP
Answer:
14.526
Step-by-step explanation:
10.348+4.178=14.526
Answer:
The width of both boxes combined should be
10.348 + 4.178 = 14.526in
How to solve x/7 = 7
Answer:
x = 49
Step-by-step explanation:
x/7 = 7
Multiply each side by 7
7* x/7 =7* 7
x = 49
Solve the proportion: 144/a = 9/4
a=?
Step-by-step explanation:
eieueskhdbdjsikskskskjswhwjw
Evaluate the following expression. 45%[6x(17-9)-30]
Answer:
tdxutdxfhdxfhx hd tudbtd tudbytd
Step-by-step explanation:
fc fcgbtufnyufnutfiygniygmyufniygnyigfntudb rsdut rd utddutestur dutrd uttu uhgugfutfuy8. f utfuy. dutugvu v gigv. uvv gihg ihg igg gv ugv vug ugf ugv ugv v igiugigougojgohgiohgk h. i gigiy gygiygiytiy
who’s tryna help me with
my im3 final pls !!
Answer:
Step-by-step explanation:
Wat
A government agency estimates the number of young adults (ages 18 to 24) in a particular country to be 31,000 (in thousands) in 2010 and changing at the rate of −x2 + 90x − 200 thousand per year, where x is the number of years since 2010. Find a formula for the size of this population at any time x. [Hint: Keep all calculations in units of thousands.]
Answer:
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
Step-by-step explanation:
From the given information:
Let assume the population is denoted by L
The rate of change of the young adults per year given can be represented as;
[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]
where;
x = 0 since 2010
[tex]dL = -x^2 +90x -200 dx[/tex]
[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]
[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]
here;
L(0) = 31000
∴
[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]
C = 31000
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
Please help me I need this asap
Answer:
its b i had this same thing in classkick
Step-by-step explanation:
Please answer this question for me
If g(x) = 2 - 5x, what is the value of g(2) - g(5)?
Answer:
15
Step-by-step explanation:
the steps are in the pic above
Integrate Sin(3x)Cos(3x) dx
Answer:
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
Step-by-step explanation:
We use integration by substitution to obtain the integral, where:
[tex]u = \sin 3x[/tex], [tex]du = 3\cdot \cos 3x\,dx[/tex]
[tex]I = \int {\sin 3x\cdot \cos 3x} \, dx[/tex]
[tex]I = \frac{1}{3} \int {u} \, du[/tex]
[tex]I = \frac{1}{6}\cdot u^{2} + C[/tex]
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
What’s the answer and How do you do these
Subtract 65 from the product of 20 and 4.
Answer:
15 is the answer
Step-by-step explanation:
20×4=80
80-65=15
Answer:
The answer is 15
Step-by-step explanation:
(20×4)-65=15
Write the equation of the line in slope-intercept form.
Answer:
y = 50x+40
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
First find two points on the line
(0,40) and (2 ,140)
The slope is
m= (y2-y1)/(x2-x1)
= (140-40)/(2-0) = 100/2= 50
The y intercept is where it crosses the y axis which is 40
y = 50x+40
(-6, 10), (-6,1),(1, 10) What are the coordinates of the fourth vertex of the rectangle? Enter your answer by filling in the boxes.
Answer:
(1,1)
Step-by-step explanation:
Happy To Help!what shap can you make with these
Answer:
c
Step-by-step explanation:
the three sides flip up and you get the shape of three triangles faced up on a triangle, as in c
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
20, 15, 10
Answer:
a. T² - T¹ = d ( A. P) -5
b. T²/T¹ = r (G. P) 3/4
Step-by-step explanation:
a. 15 - 20 = -5
b. 15/20 = 3/4
Answer:
This is an arithmetic sequence and the common difference is equal to -5.
please help!! 15 points i’m stressed out :/
Answer:
Since this (looks) like a homework assignment/test, I'll give you a hint.
Step-by-step explanation:
A function is where you have a input, that usually involves an equation that you have to replace the unknown with, to get the output.
Don't get it? Well, I didn't either.
What's great about this problem that you don't neccessarily have to know what the definition is.
A function can only output. So if you inputted the number 6, and got the output -3, you can't have another number that also had the output -3, and vice versa. This is my hint for the number 1.
Number 4 is a bit harder, but here's my hint:
Look for a pattern.
Which point lies on the graph of y = -x-5?
O A (-5,0)
OB. (4.-9)
OC (-2,-3)
OD. (3,-2)
Answer:
A, B and C are on the graph
Step-by-step explanation:
Just plug the values into y = -x - 5 and see if the y are equal
A ( -5, 0)
0 = 5 - 5
0 = 0
B (4, -9)
-9 = -4 - 5
-9 = -9
C (-2, -3)
-3 = 2 - 5
-3 = -3
D (3. -2)
-2 = -3 - 5
-2 = -8
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
£90 more
Step-by-step explanation:
4+1=5
150/5=30
I:T
4:1 ×30
120:30
120-30=90