Answer:
Step-by-step explanation:
Given
[tex]y = \frac{1}{6}x + 60[/tex]
Required
Interpret the slope and y intercept
The general form of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m=slope[/tex]
[tex]b = y\ intercept[/tex]
By comparison
[tex]m = \frac{1}{6}[/tex]
[tex]b = 60[/tex]
Interpretation:
Slope represents rate and y intercept represents the number of chirps at time 0.
So, the interpretations are:
Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute
y intercept: The initial number of chirps is 60
Please help me with this thank you
Answer:
I believe the answer to question (a) is 3085 ft and for (b) i think it's 238 ft
Answer:
hi how are you
Step-by-step explanation:
Example of a story problem to match the equation 36÷5=7 R1
Answer:
Sharon's mom baked 36 cookies for her and 5 other friends. Each had an equal amount of cookies. How many did each of them have and how many are left? (This is probably wrong, don't listen to me.)
Step-by-step explanation:
i need help with this please!
Answer:
1
Step-by-step explanation:
Answer:
A.1
Step-by-step explanation:
Two more than 4 times a number is the number less 7. What is the number?
Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal place. If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)
Points Scored by Lynn Points scored in a basketball game Frequency
2 10
3 9
9 10
11 7
12 3
15 4
16 3
Answer: Mean = 7.8
Median = 9
Mode = 2,9
Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:
[tex]E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}[/tex]
E(X) = 7.8
Mean for the given frequency distribtuion is 7.8.
Median is the central term of a set of numbers. Median in a frequency table is calculated as:
1) Find total number, n:
n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46
2) Find position, using: [tex]\frac{n+1}{2}[/tex]
[tex]\frac{n+1}{2}=\frac{47}{2}[/tex] = 23.5
Median is in the 23.5th position.
3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9
Median for this frequency distribution is 9.
Mode is the number or value associated with the highest frequency.
In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.
Mode for this distribution is 2 and 9.
Following are the calculation of mean, median, and modes:
Given value:
[tex]\bold{x \ \ \ \ \ \ f} \\\\ 2\ \ \ \ \ 10 \\3\ \ \ \ \ 9\\9 \ \ \ \ \ 10\\11\ \ \ \ \ 7\\12 \ \ \ \ \ 3\\15 \ \ \ \ \ 4\\16 \ \ \ \ \ 3\\[/tex]
To find:
mean, median, and modes=?
Solution:
[tex]\bold{x \ \ \ \ \ \ f \ \ \ \ \ \ cf \ \ \ \ \ \ fx} \\\\2\ \ \ \ \ 10 \ \ \ \ \ 10 \ \ \ \ \ 20 \\3\ \ \ \ \ 9 \ \ \ \ \ 19 \ \ \ \ \ 27 \\9 \ \ \ \ \ 10\ \ \ \ \ 29 \ \ \ \ \ 90 \\11\ \ \ \ \ 7\ \ \ \ \ 36 \ \ \ \ 77 \\12 \ \ \ \ \ 3\ \ \ \ \ 39 \ \ \ \ 36\\15 \ \ \ \ \ 4\ \ \ \ \ 43 \ \ \ \ 60\\16 \ \ \ \ \ 3\ \ \ \ \ 46 \ \ \ \ 48 \\[/tex]
[tex]\Sigma f = 46 \ \ \ \ \ \ \ \ \ \ \Sigma fx= 358[/tex]
Calculating the Mean:
[tex]Mean=\frac{\Sigma fx}{\Sigma f}[/tex]
[tex]=\frac{358}{46}\\\\= 7.78[/tex]
Calculating the Median:
[tex]n= \Sigma f= 46[/tex]
[tex]Median=\frac{ (\frac{n}{2})^{th} +(\frac{n}{2} +1)^{th}}{ 2}[/tex]
[tex]=\frac{ (\frac{46}{2})^{th} +(\frac{46}{2} +1)^{th}}{ 2}\\\\=\frac{ (23)^{th} +(24)^{th}}{ 2}\\\\=\frac{ 3 +3}{ 2}\\\\=\frac{ 6}{ 2}\\\\=3[/tex]
Calculating the Mode:
Mode is the value of 'x' with the highest frequency is 10 for x= 2 and x=9 therefore, the mode is "2,9".
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The ratio of boys to girls in the class is 2 to 8, what percent of the class is boys?
Answer:a) 20%
Step-by-step explanation: 2× 100/ 8+2
Answer:
20%
Step-by-step explanation:
girls are 80% just so you know
12 x 12 / 12 x 12 x 12 x 12 - 777 + 21 x 12 x 12 / 12 = ?
Answer:
116,031 about
Step-by-step explanation:
Answer:
20,211
Step-by-step explanation:
Use the correct order of operations, and do one step at a time.
12 x 12/12 x 12 x 12 x 12 - 777 + 21 x 12 x 12/12 =
= 144/12 x 12 x 12 x 12 - 777 + 252 x 12/12
= 12 x 12 x 12 x 12 - 777 + 3024/12
= 144 x 12 x 12 - 777 + 252
= 1728 x 12 - 777 + 252
= 20,736 - 777 + 252
= 19,959 + 252
= 20,211
Can someone please help me I tryed already
Answer:look at the picture below
Step-by-step explanation:
A square pyramid is shown. What is the surface area?
A square based pyramid, with bases labeled 2.5 centimeters and side length of triangle labeled 5 centimeters.
(4 points)
15.25 cm2
15.625 cm2
31.25 cm2
62.625 cm2
Answer:
C. 31.25 cm²Step-by-step explanation:
Surface area comprises of:
A = Area of square base + 4(area of triangle faces)A = 2.5² + 4*1/2*2.5*5= 31.25 cm²Correct option is C
Answer:
its 31.25 i took the test and got it right
Step-by-step explanation:
given f(x)=x(x-3)+4 what is the derivative of f at a?
[tex]f(x) = {x}^{2} - 3x + 4 \\ \frac{d}{dx} ( {x}^{2} - 3x + 4) \\ g(x) = 2x - 3[/tex]
Let g(x) = f'(x)
Substitute a in x, therefore the answer is.
[tex]g(a) = 2a - 3[/tex]
— Note that it'd be better to use f'(a) or y' instead. For this one, I let g(x) equal the derivative of f(x) —
Please help
Be sure to show your work and solve for f:
8 = f (13-2)
Answer:
8 = f (13-2)
8=13f-2f
8=11f
8 / 11 = 11f / 11
8/11=f
f=8/11
Step-by-step explanation:
Answer:
Simplifying
8 = F + -1(13 + -2)
Combine like terms: 13 + -2 = 11
8 = F + -1(11)
Multiply -1 * 11
8 = F + -11
Reorder the terms:
8 = -11 + F
Solving
8 = -11 + F
Solving for variable 'F'.
Move all terms containing F to the left, all other terms to the right.
Add '-1F' to each side of the equation.
8 + -1F = -11 + F + -1F
Combine like terms: F + -1F = 0
8 + -1F = -11 + 0
8 + -1F = -11
Add '-8' to each side of the equation.
8 + -8 + -1F = -11 + -8
Combine like terms: 8 + -8 = 0
0 + -1F = -11 + -8
-1F = -11 + -8
Combine like terms: -11 + -8 = -19
-1F = -19
Divide each side by '-1'.
F = 19
Simplifying
F = 19
It is known that the mean cholesterol level for all Americans is 190. Construct the relevant hypothesis test to show that only children have an average higher cholesterol level than the national average. We tested 100 children and find out the mean is 198. You can use your own confidence level. (All Americans Standard Deviation is 15)
Answer:
95% of confidence intervals are
(197.706 , 198.294)
Step-by-step explanation:
Explanation:-
Given sample size 'n'=100
Mean of the sample x⁻ = 198
The standard deviation of the Americans =15
95% of confidence intervals are determined by
[tex](x^{-} - Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} })[/tex]
Level of significance = 0.05
Z₀.₀₅ = 1.96
= [tex](198 - 1.96 \frac{15}{\sqrt{100} } , 198 +1.96\frac{15}{\sqrt{100} })[/tex]
= ( 198 -0.294 ,198 +0.294)
= (197.706 , 198.294)
95% of confidence intervals are
(197.706 , 198.294)
Helppppppppppppppppppppp!!!!!!!!
Because of some theory with angles on same sides of a line between parallel lines, take 180 and subtract the ones you have. 180-107=73 degrees= m angle B
180-46=134 degrees - m angle A
Domain is the set of all input values, while range is the set of all:
a. independent variables
b. output values
c. relations
d. functions
Please select the best answer from the choices provided.
solve the equation
[ 3 2 5 5 ] [ x1 x2] + [ 1 2 ] = [ 2 -3 ]
Answer:
x1=3 x2=-4
Step-by-step explanation
The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1
What is the matrix?It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.
It is given that:
[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]
On comparing:
3x₁ + 2x₂ = 2
5x₁ + 5x₂ = -3
The above two equations represent linear equations in two variables:
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
After solving with substituion method:
x₁ = 3.2
x₂ = -3.8
Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.
Learn more about the matrix here:
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What is the simplified value of the exponential expression 27 1/3?
a. 1/3
b. 1/9
c. 3
d. 9
which point on the line represents 3/5
Step-by-step explanation:
The correct answer is: Point B.
The easiest way to solve this is to make the fraction, 3/5, to a decimal.
3/5 = 0.6
Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.
Answer:
Step-by-step explanation:
PART B The Connecticut Speeding inequality In many places in Connecticut, the speed limit on interstate highways is still 55 miles per hour. The formula used for calculating speeding fines on interstate highways in Connecticut is shown below. Judges in Connecticut have the ability to lower fines to any amount above $0, but fines may not exceed $350.
[tex]f(s) \leqslant 10(s - 55) + 40[/tex]
Maximum fine: $350 Again, frepresents the amount of the fine in dollars and s represents the recorded speed of the car in miles per hour.
1.Write a realistic domain and range for the conneticut speeding inequality as compund inequaleties. Explain your choice.
Search that question on brainless and you’ll for sure find yourself an answer.
find the gof of g[5X+2]^3-4
Answer:
what is value of f in given function
POINTS! PLEASE HELP!!! SUPER EASY AND FAST!! I WILL GIVE BRAINLIEST!!
Write an equation of a line that has a slope of "negative one-half" in each form: a) point-slope form
b) slope-intercept form.
Describe how linear data given in a table can help you write an equation of a line in slope-intercept
form.
Pls see attachment
Answer: Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
If f(x)= tan^-1(2x), find lim x->2 (f(x)-f(2))/x-2
A. 2/17
B.1/17
C.-2/15
D. -1/15
Answer:
The value of the limit is 12.
Step-by-step explanation:
Small typing mistake, the limit is of h tending to 0.
Then
Calling the limit L
h is the common term in the numerator, then
Simplifying by h
Since h tends to 0.
Solve each equation. Check your solution.
4t - 2 = 14
Answer:
t=4
Step-by-step explanation:
4t-2=14
You then add 2 to both sides and get
4t=16
Then you must divide 16 by 4 and get
t=4
The solution of the linear equation 4t - 2 = 14 will be 4.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
4t - 2 = 14
The degree of the equation is one, so the equation will be a linear equation. Then solve the equation for 't', then we have
4t - 2 = 14
4t = 16
t = 16 / 4
t = 4
The solution of the linear equation 4t - 2 = 14 will be 4.
More about the solution of the equation link is given below.
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Simplify the expression:
7f+5+3f
Answer:
10f + 5
Step-by-step explanation:
7f+5+3f (Given)
10f + 5 (combine like terms)
Answer:
15f is the correct answer
I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.
Answer: 1 cup of macaroni for 3 cups of water
Step-by-step explanation:
9/27 divided 3=1 cup/3 cup
micheal clean 45 cars in 5 days. How many cars does Micheal clean per day
Answer:
9
Step-by-step explanation:
I divided 45 by 5 and got 9
Answer:
9
Step-by-step explanation:
45 divided by 5 means, split 45 into 5 groups. Which should get you 9 cars per day.
5. A violinist practices one hour a day from Monday through Friday. How many hours must she practice on Saturday
order to have an average (antharctic meani ot two hours a day for the six day period?
K
Answer:
7 hours
Step-by-step explanation:
First find the total number of hours she practices based on the average of 2 hours a day for six days.
This means 6*2 = 12 , she practices a total of 12 hours.
Next find the total hours she already practiced. She practices 1 hour a day from Mon to Fri, which is 5 days, so 1*5 = 5 hours. This is the hours she practiced already.
To meet the mean, she needs to practice 12-5 = 7 hours more on Saturday.
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Answer:
must practice 7 hours on Saturday
Step-by-step explanation:
Let 'x' = number of hours on Saturday
(5 (hours) + x) / 6 (days) = 2
[tex]\frac{5+x}{6}[/tex] = [tex]\frac{2}{1}[/tex]
Cross-multiply to get 5 + x = 12
Pls help I’m so confused! What would be the last step?
Answer:
SSS(Side,Side,Side)
Step-by-step explanation:
In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.
there are 120 cars in a multi storey car park given that 30% of them are blue find the number of cars which are not blue
Answer:
84 cars
Step-by-step explanation:
30% are blue, which means (100-30=70) 70% are not blue
(70/100)×120= 84
hence, 84 cars are not blue
hope it helps!!!!
A rectangular roof has a length of 13g and a width of 4g+7. write an expression for the area of the roof.
Answer:
13g*4g+7
Step-by-step explanation:
answer this correctly pls and u get brainliest and 50 points
Answer:
32 degrees
Step-by-step explanation:
One straight line equals 180 degrees
if one angle from one side is 148, then 180-148=32