A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Question:
The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.
A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.
Answer:
\(y = 97522.7\)
Step-by-step explanation:
Given
\(y = 1.5x + 22.7\)
\(x = 65000\)
Required
Find y
Substitute 65000 for x in the given equation
\(y = 1.5 * 65000 + 22.7\)
\(y = 97500 + 22.7\)
\(y = 97522.7\)
It is reasonable because as the population increases, the noise level also increases
Find “m=“
Thank you all for the help :-)
The slope of the line that passes through the points (-1,4) and (0,9) is 5.
What is the slope of the line?Slope is simply expressed as change in y over the change in x.
The formula for slope of a line is:
\(m = \frac{ y_2 - y_1}{x_2 - x_1}\)
Given that, the line passes through the points: (-1,4) and (0,9).
Point 1 (-1,4)
x₁ = -1y₁ = 4Point 2 (0,9)
x₂ = 0y₂ = 9Plug the given x and y values into the slope formula and simplify.
\(m = \frac{ y_2 - y_1}{x_2 - x_1}\\\\m = \frac{ 9 - 4}{0 - (-1)}\\\\m = \frac{ 5}{0 + 1}\\\\m = 5\)
Therefore, the slope of the line is 5.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ1
Harold purchased a new snowmobile. The dealer gave him an option to pay the purchase price of x dollars at 100 dollars per month for y months. He would pay the remaining balance amount the following month. Which type of payment plan did the dealer offer Harold?
The dealer gave Harold
The dealer gave Harold (a deferred payment plan, an installment plan with a down payment, a rent to own plan) The expression for the amount of Harold’s last payment is (x-100y, 100y-x, x-100+y, x+100-y)
Answer:
the healer gave Harold a deferred payment plan. The expression for the amount of Harold’s last payment is x - 100y
Step-by-step explanation:
The dealer gave Harold an installment plan with a down payment. The expression for the amount of Harold’s last payment is x-100y.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
An installment plan is a type of payment plan in which the purchase price is paid in a series of payments, rather than all at once. A down payment is an initial payment made when purchasing a costly item, such as a car or house, with the intention of paying the remaining balance in a series of payments.
The expression for the amount of Harold's last payment is x - 100y. This is because the monthly payments are 100 dollars and there are y months of payments, so the total amount of payments made is 100y. The remaining balance is the original purchase price minus the total amount of payments made, which is x - 100y.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
Which type of sequence is shown? Check all that apply.
4,8, 12, 16, ...
The numbers are quickly getting larger,so this is a geometric sequence
The numbers are slowly getting larger, so this is an arithmetic sequence
This is an arithmetic sequence because there is a common difference of 4 between each term
This is a geometric sequence because there is a common ratio of 2 between each term
Add 4 to the last term to extend this arithmetic sequence
Multiply the last term by 2 extend this geometric sequence
Answer:
This is an arithmetic sequence because there is a common difference of 4 between each term
Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is \(\sqrt{3}x\)
Length of the hypotenuse is 2x.
We know x = 7
So, \(\sqrt{3}(x)=\sqrt{3}(7)\)
Thus, the length of the longer leg is \(\sqrt{3}(7)\) m
Length of hypotenuse = 2x = 2(7) = 14m
\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)
Taking square root on both sides:
\(2x = \sqrt{196}\)
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
Learn more about Triangle at:
https://brainly.com/question/2773823
#SPJ1
A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 64 years of age was $5,423 with a standard deviation of $979. A random sample of 352 persons over age 64 living in Sudbury had an average expense of $5,516. We want to test whether the mean inpatient and outpatient expense of all Sudbury residents over age 64 is higher than the national average of $5,423. Calculate the P-value for this test.
Using the z-distribution, it is found that the p-value for this test is of 0.0375.
At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:
\(H_0: \mu = 5423\)
At the alternative hypothesis, it is tested if it is higher, hence:
\(H_1: \mu > 5423\)
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. \(\sigma\) is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: \(\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352\)
The value of the test statistic is:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}\)
\(z = 1.78\)
The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.
Looking at the z-table, z = 1.78 has a p-value of 0.9625.1 - 0.9625 = 0.0375
Hence, the p-value for this test is of 0.0375.
A similar problem is given at https://brainly.com/question/25549474
6^3 × 2^6 divided by 2^3
Answer:
1728
Step-by-step explanation:
FILL IN THE BLANK to include calculated fields in queries, enter a name for the calculated field, a(n) ______ , and then the expression in one of the columns in the field row.
Alias, which is a name given to the calculated field that is used to reference the expression in the query.
A calculated field can be included in a query by entering an alias, which is a name given to the calculated field, and then the expression in one of the columns in the field row. An alias should be descriptive of the calculated field and its purpose in the query. The expression entered should be written in the same syntax used to write conditions in the query. Calculated fields can be used to calculate values from multiple fields in the query or to manipulate data. It can also be used to perform mathematical calculations, such as adding, subtracting, multiplying, or dividing values. They are especially useful when data needs to be manipulated or summarized before it is used in the query. Calculated fields are a great way to optimize queries and make them more efficient by reducing the amount of data that needs to be retrieved.
Learn more about expression here
https://brainly.com/question/14083225
#SPJ4
6 1/2+1 5/6= please answer this problem
Answer:
50/6
Step-by-step explanation:
6 1/2 + 1 5/6 = 13/2 + 11/6
LCM - 6
13/2 x 3 =39/6 and 11/6 remains the same.
39/6 + 11/6 = 50/6
Hope you understood :)
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
Is the sum of the
angle measures always equal to the
sum of the arc measures
Yes or no ?
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
How do you do this question?
Answer:
k > 1, or k ≥ 2
Step-by-step explanation:
aₙ = (n!)² / (kn)!
aₙ₊₁ = ((n+1)!)² / (k(n+1))!
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[((n+1)!)² / (k(n+1))!] / [(n!)² / (kn)!]│
lim(n→∞)│[((n+1)!)² / (k(n+1))!] × [(kn)! / (n!)²]│
lim(n→∞)│[((n+1)!)² / (n!)²] × [(kn)! / (k(n+1))!]│
lim(n→∞)│[((n+1)! / n!)²] × [(kn)! / (kn+k)!]│
lim(n→∞) (n+1)² × (kn)! / (kn+k)!
This converges when the limit is less than 1.
If k=1:
lim(n→∞) (n+1)² × n! / (n+1)! = lim(n→∞) (n+1) = ∞
If k=2:
lim(n→∞) (n+1)² × (2n)! / (2n+2)! = lim(n→∞) (n+1)² / [(2n+2)(2n+1)] = 1/4
If k=3:
lim(n→∞) (n+1)² × (3n)! / (3n+3)! = lim(n→∞) (n+1)² / [(3n+3)(3n+2)(3n+1)] = 0
The series converges for k > 1, or k ≥ 2.
URGENT PLEASE
Solve 2sinx+1=0 for x, where 0≤x≤360°.
After solving the given equation, the values obtained will be equal to 210° and 330°. Hence, option B is correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
2 sin x + 1 = 0
2 sin x = -1
sin x = -1/2
So, the coordinates will be \((\frac{-\sqrt{3} }{2},\frac{-1}{2} )\) and \((\frac{\sqrt{3} }{2},\frac{-1}{2} )\) Have y values of -1/2.
So, The coordinates have the following radian correspondents (7 π)/6 and (11π)/6.
To know more about equation:
https://brainly.com/question/29657983
#SPJ1
Can someone please help me?!?! I need this done before 1-5-21
Answer:
8=w, -8=w (±8=w)
Step-by-step explanation:
192=\(3w^{2}\)
First, divide by 3
64=w²
now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )
8=w, -8=w
You can also write it as ±8=w
Hope this helps!
There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?
Can someone answer this <3
Answer: Ok, so I am really good at finding the degree of polynomials... So the answer is D. Good luck! Hope this helps. :)
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
B)Gift shop
pls mark me as BRAINLIEST
hope the answer helped you
3/8 is found between which pair of fractions on a number line
Answer:
2/8 and 4/8
Step-by-step explanation:
Answer:
2/8,4/8 or 1/4,1/2
Step-by-step explanation:
3+1=4 3-1=2
2/8=1/4
4/8=1/2
True or False? Pythagoras
theorem involves the formula a2 +
b² = c²
Answer:
true
Step-by-step explanation:
Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
50 Points! Multiple choice algebra question. One factor of x^3+4x^2-11x-30=0 is x+2. Find the remaining factors. Photo attached. Thank you!
The solution to the above algebra question is (b) x-3, x+5.
What is the explanation for the above response?To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.
We set up the synthetic division table as follows, using -2 as the divisor:
-2 | 1 4 -11 -30
|____-2__-4___30
| 1 2 -15 0
The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:
x^2 + 2x - 15 = (x - 3)(x + 5)
Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.
The correct answer is (b) x-3, x+5.
Learn more about algebra at:
https://brainly.com/question/24875240
#SPJ1
Write an equation in slope-intercept form (y = mx + b).
A vertical line passing through (1, -4).
Answer:
x=1
Step-by-step explanation:
Anytime there is a vertical line, the y value becomes infinite as the line goes on forever. The only restriction on the line is on the x value of your coordinate. The same goes for a horizontal line, only the x value would become infinite and the y value would be constant.
Vertical Line: (x,∞)
Horizontal Line: (∞,y)
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
the visual fraction model shows the fractions of 1 cup of each kind of yogurt thats add to the blender
Therefore , the solution of the given problem of fraction comes out to be 3/4 cups of yoghurt to the blender.
What is a fraction?Any configuration of identically sized parts can be combined to represent the total. In Standard English, quantity is defined as "a portion" within a specific measurement. 8, 3/4. Wholes also include fractions. These serve as the divisor of the ratio, which in mathematical terms would be a pair of numbers. Here are a few illustrations of how to convert simple halves into whole numbers.
Here,
A visual fraction model can be used to illustrate the various fractions in a cup of yoghurt that you want to add in portions to a blender.
For instance, you may divide the cup into four equal parts and use one of those parts to represent 1/4 cup of yoghurt in the blender.
You can divide the cup into two equal parts and display two of those parts to symbolise the addition of 1/2 cup of yoghurt.
You would have added
=> 1/4 + 1/2 = 3/4 cups of yoghurt to the blender.
To know more about fraction visit:
https://brainly.com/question/10354322
#SPJ9
find the equation of a circle satisfying the condition given. (3,-8) radius 9. show steps
Answer:
this is the equation of a circle
Use PEMDASto solve the following:6 4(8-3)² + 15-
Given the following question:
Using PEMDAS
P - Parentheses
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
To solve a equation using PEMDAS you will go up at P, to down with S. You go in a straight line and solve the equation step by step.
6 - 4(8 - 3)^2 + 15
First P
8 - 3 = 5
6 - 4 * 5^2 + 15
E is next
5^2 = 5 * 5 = 25
6 - 4 * 25 + 15
M is next
4 * 25 = 100
6 - 100 + 15
D is next but there is no D
6 - 100 + 15
A is next
100 + 15 = 115
6 - 115
Now we have s
6 - 115 = -79
= -79
Your answer is -79.
emiko makes shibori scarves and sells them for $48 each on a website for handmade goods. the expression 48s represents the total price of buying s scarves
The expression 48s represents the number of scarves (s) and its per unit (48).
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given that, Emiko makes shibori scarves and sells them for $48 each on a website for handmade goods.
Here, the expression 48s represents the total price of buying s scarves
We need to tell what 48s mean,
So,
48s here is the total cost for buying s scarves,
That mean, if we buy s scarves we will have to pay $48s
Similarly, if we will buy 4 scarves, we will pay = 48 × 4 = $192
For 10 scarves, we will pay = 48 × 10 = $480
Therefore, we can say $48 is the unit price of the scarf.
Hence, the expression 48s represents the number of scarves (s) and its per unit (48).
Learn more about expressions, click;
https://brainly.com/question/14083225
#SPJ1
The question was incomplete, so I answered for the question :-
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves what do the parts of the expression 48s represents.
Answer:
Step-by-step explanation:
number of scarves
Price of scarves
Is 4:5 equivalent to 8:10 as radios?
if my medical expenses are $30,000 per year for 35 years with inflation at 5.13% how much money would I have to put in an interest bearing account with a 5% return to cover all medical expenses and the account be $0 at the end of 35 years
Answer:
$1,021,337.13
Step-by-step explanation:
The sum of present values of medical expenses is ...
30,000/1.05 +30,000(1.0513)/1.05^2 +30,000(1.0513^2)/1.05^3 +...
So, the series has an initial value of 30,000/1.05 and a common ratio of 1.0513/1.05. Its sum is given by ...
S = a(r^n -1)/(r -1)
where a = 30,000/1.05, n = 35, r = 1.0513/1.05.
Filling in these values and doing the arithmetic, we get ...
S = $1,021,337.13
You need an initial deposit of $1,021,337.13 to cover rising expenses for 35 years.