Answer:
Mean qualifying speed
= 224.5669mi/hr
Speed that passed the average/mean
= 226.240mi/hr ,224.037mi/hr 226.484mi/hr, 225.172 mi/hr
Step-by-step explanation:
Let's understand what mean is then understand what mean qualifying speed is.
First mean is like the average of the seven speed listed below.
So let's find the mean.
Mean = (223.684+ 222.929+ 226.240
+224.037 +226.484+ 225.172
+223.422)/7
Mean = 1571.968/7
Mean = 224.5669
So the mean qualifying speed is those speed that qualifies when the mean is taken, i.e the speed that crossed the average.
Mean qualifying speed are
=226.240 ,224.037,226.484
, 225.172
Marie made the box plot below to display a set of data. Which set of data could the box plot represent?
Answer:
see below
Step-by-step explanation:
First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.
Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.
The data set of the 3rd choice matches the box plot extremes, median, and quartile values.
Answer:
The third choice, (5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.
Step-by-step explanation:
Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
writes the equation below to help him determine the additional amount that he needs to
sove to have enough to buy the bicycle.
89.25 + 129.85=2
Does Victor's equation correctly model the problem? Click the arrows to choose an answer from
each menu
An equation that correctly represents this problem can show that the sum of the
Choose
- and the Choose.
to the Choose
-
is equal
-
models this situation correctly. Victor's equation is
The equation Choose...
Choose
Answer:
Victor's equation did not correctly model the problem.
The equation that correctly modeled the problem:
$129.85-$89.25=$40.60
Step-by-step explanation:
The amount required for bicycle purchase by Victor is $129.85 out of which $89.25 has been saved,in other words,the balance required for Victor to reach his target purchase price is the difference between the total cost of $129.85 and the $89.25 already saved.
The balance required=$129.85-$89.25=$40.6
This shows that the equation put forward by Victor is wrong.
An equation that correctly represents the problem is the difference between the target savings and the amount already saved as stated above
Answer:
Victors model is incorrect,
Step-by-step explanation:
the correct model would be $89.25 + x = $129.85 or in other words the amount of money he has already + the amount of money he still needs = the total price of the bike.
An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle
I hope this helped!!
−5y=−5
7x+6y=7
Is (5,1) a solution of the system
Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.
Step-by-step explanation:
one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.
The police received a report about a body found in the woods behind the local shopping center. The forensic investigator collected 5 different types of living insects on the man’s body. It’s important to stress that investigators found all 5 insects alive on the body at the same time. The insects were sent to the forensic entomology lab, where they were raised under similar conditions to those found around the dead body. The following chart describes the life cycles of each of the five different types of insects found on the dead body. How long has the man been dead? Justify your answer.
Day
Insect 1 2 3 4 5 6 7 8 9 10
Blowfly 1 1 1 1 1 1 1 1 1 0
Species A 0 0 0 0 1 1 1 1 1 1
Species B 0 0 0 0 0 0 1 1 1 0
Species C 0 0 0 0 0 0 0 0 1 1
Species D 0 0 0 0 0 1 1 1 1 1
Update:
The police received a report about a body found in the woods behind the local shopping center.? Forensic science
Update 2:
The police received a report about a body found in the woods behind the local shopping center. Forensic science question?
Answer:
The man has been dead for 9 days. This is because this is the only day on the chart where all the types of insects coexist.
Step-by-step explanation:
5 species of insects were found at the same time alive on the dead man's body.
These 5 insects are then sent to the lab to be studied and larvae/eggs from them, raised under similar conditions to the conditions of the dead body.
The activity the eggs are them studied and presented in the chart provided
Insect/Day 1 2 3 4 5 6 7 8 9 10
Blowfly 1 1 1 1 1 1 1 1 1 0
Species A 0 0 0 0 1 1 1 1 1 1
Species B 0 0 0 0 0 0 1 1 1 0
Species C 0 0 0 0 0 0 0 0 1 1
Species D 0 0 0 0 0 1 1 1 1 1
Note that 0 represents a non-activity on the part of the egg of the insect specie.
From the chart, the first time all 5 insects coexist together at the same time just like they were found in the dead body is on the 9th day. Before the 9th day, all 5 insects do not coexist at the same time and even beyond the 9th day, on the 10th day, insect specie B stops existing.
So, it is evident that the man has been dead for 9 days as that's the only day on the chart where all the types of insects coexist.
Hope this Helps!!!
What is the solution to the equation StartFraction m Over m + 4 EndFraction + StartFraction 4 Over 4 minus m EndFraction = StartFraction m squared Over m squared minus 16 EndFraction?
Answer: m = -2.
The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].
The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].
We multiply both sides by LCM.
[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]
[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]
[tex]m^{2}-4m-4m-16=m^{2}[/tex]
[tex]8m=-16\\m=-2[/tex]
Learn more: https://brainly.com/question/13769924
Answer:
M=-2 B
Step-by-step explanation:
trust me i took the quiz
what is the sum of 21 and 5 times a number f is 61
Answer:
Answer is below
Step-by-step explanation:
21 + 5f = 61 Turn the words into an equation
-21 - 21 Subtract 21 from both sides
5f = 40 Divide both sides by 5
f = 8
If this answer is correct, please make me Brainliest!
Answer:
[tex]f = 8[/tex]
Step-by-step explanation:
[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]
Hope this helpsBrainliest Appreciated.Proving the Sum of the Interior Angle Measures of a Triangle Is 180°
Answer:proved
Step-by-step explanation:
Sum of interior angles of a polygon=180
Sum of interior angles of a polygon=180(n-2)
n=number of sides
a triangle have 3 sides n=3
Sum of interior angles of a triangle=180(3-2)
Sum of interior angles in a triangle=180 x 1
Sum of interior angles in a triangle=180°
Answer:
im adding the completed one to all of the questions
evaluate one third of the sum of 15 and 6
Answer:
7
Step-by-step explanation:
15 plus 6 equals 21
21 divided by 3 is 7
Answer:7
Step-by-step explanation:
sum of 15 and 6
15+6=21
1/3 Of The sum
1/3 of 21
1/3 x 21
(1x21)/3
21/3=7
Consider the equation 1+n+6/n+1=4/n-2
A.What is the LCD of the rational expressions
B.What values must be excluded from the list of possible solutions
C.What is the solution of the equation?
Answer:
For part C I got n = negative 1 plus or minus the square root of 145, everything divided 4.
Step-by-step explanation:
My part A and B were the same as the persons above answer.
(A) The least common denominator of the equation is ±√2 - 2.
(B) The value of n = ±√2 - 2 must be excluded from the list of possible solutions.
(C) The solution of the equation 1 + n + 6 / n + 1= 4 / n - 2 is ±√2 - 2.
What is an equation ?
An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
1 + n + 6 / n + 1= 4 / n - 2.
(A)
The least common denominator of the equation is n.
(B)
The value of n must be excluded from the list of possible solutions.
(C)
To find the solution for the given equation,
Solve the equation,
2 + n + 6/n - 4/n + 2 = 0
4 + n + 2/n = 0
4n + n² + 2 = 0
n² + 4n + 2 = 0
n² + 4n + 4 + 2 - 4 = 0
(n + 2)² = 2
n + 2 = ±√2
n = ±√2 - 2
The required value of n is ±√2 - 2.
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-5(4x + 7) <25
Answer here
Answer:
X>-3
Step-by-step explanation:
Hope I helped
Do u want the steps ?
Answer: x > -3
Step-by-step explanation: -5(4x + 7) <25
-20x - 35 < 25
-20x -35 + 35 < 25 + 35
-20x/20 < 60/20
x > -3
Can someone plz help plz
Answer:
~ 1.25 centimeters of the snowflake in real life ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
12 = 1 ⇒ x - centimeters of the snowflake in real life
15 x
2. Now let us cross multiply, and solve through simple algebra for x:
15 = 12 * x
x = 1.25 centimeters of the snowflake in real life
Find the first five terms of the geometric sequence defined by a (n)=10
(.1)^n
Answer:
Step-by-step explanation:
a(1) = 10(.1)^1 = 1
a(2) = 10(.1)^2 = 10(0.01) = 0.1
a(3) = 10(.1)^3 = 10(0.001) = 0.01
a(4) = 0.001
a(5) = 0.0001
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
1. Understand your problem
2. Gather your resources
3. Come to an answer
4. Check your answer and present the solution
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
Step-by-step explanation:
B or c
A test of hypothesis is conducted to determine whether annual income and education level are independent. It is determined that the value of test statistic is 24.32 and the critical value of test statistics is 13.32. What specific conclusion can we draw about annual income and education level
Answer: We concluded that annual income and education level are not independent.
Step-by-step explanation:
For the given situation, the null and alternate hypothesis can be formulated as:
[tex]H_0:[/tex] annual income and education level are independent.
[tex]H_a:[/tex] annual income and education level are not independent.
Given, the value of test statistic is 24.32 and the critical value of test statistics is 13.32.
i.e. the test statistic value is greater than the critical value, thus we have enough evidence to reject the null hypothesis.
Therefore, we reject null hypothesis .
So , we concluded that annual income and education level are not independent.
Equations
What is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7
(-2,-3)
(-2,3)
(2, -3)
(2, 3)
Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
The solution of the system of linear equations given is (2,-3), the correct option is C.
What is System of Linear Equation?The system of linear equation is set of equations which have a common solution.
The equations are
-3x+4y = -18
2x-y =7
The linear equations can be solved using substitution method
y = 2x -7 from equation 2 will be substituted in equation 1
-3x +4 ( 2x -7) = -18
-3x +8x -28 = -18
5x = 10
x = 2
y = 2 * 2 -7 = -3
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Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.
9514 1404 393
Answer:
24160120200528Step-by-step explanation:
The area of each triangular face is given by the formula ...
A = 1/2bh
The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...
A = 1/2(8 cm)(6 cm) = 24 cm²
__
Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...
A = LW
Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
__
The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...
(2×24 + 160 +120 +200) cm² = 528 cm²
The driving time varies inversely with the speed of the car if a certain trip takes 40 minutes when you travel 50 miles per hour how many minutes would it take if you travel 40 miles per hour
Answer:
It will take 50 minutes take if you travel 40 miles per hour
Step-by-step explanation:
The driving time varies inversely with the speed of the car i.e.
[tex]t\propto \dfrac{1}{v}[/tex]
or
[tex]\dfrac{t_1}{t_2}=\dfrac{v_2}{v_1}[/tex]
We have,
[tex]t_1=40\ min\\\\v_1=50\ mph\\\\v_2=40\ mph\\\\t_2=?[/tex]
Plugging all the values, we get :
[tex]t_2=\dfrac{t_1v_1}{v_2}\\\\t_2=\dfrac{40\times 50}{40}\\\\t_2=50\ min[/tex]
So, it will take 50 minutes take if you travel 40 miles per hour.
The number of minutes would it take if you travel 40 miles per hour is 50 minutes.
Calculation of the number of minutes:Since if a certain trip takes 40 minutes when you travel 50 miles per hour
So, the time for 40 miles per hour should be
[tex]= 40\times 50\div 40[/tex]
= 50 minutes
Therefore, The number of minutes would it take if you travel 40 miles per hour is 50 minutes.
Learn more about time here: https://brainly.com/question/24723699
PLEASE HELP- 25 points-what is the circumference of the circle. Diameter =9cm
Answer:
9π cm - exact value
28.26 cm - approximate value
Step-by-step explanation:
C = πd =9π cm - exact value
or
C=9π≈ 28.26 cm - approximate value
The net of a rectangular prism and its dimensions are shown in the diagram.
7.5 in.
7.5 in.
3 in.
3 in.
11.5 in.
11.5 in.
What is the total surface area of the rectangular prism in square inches?
A 143.25 in.2
B 241.5 in.?
C 258.75 in
D 286.5 in.?
Answer:
D.
Step-by-step explanation:
Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]
To find: total surface area of the rectangular prism in square inches
Solution:
Length of the rectangular prism (l) = 7.5 inches
Breadth of the rectangular prism (b) = 3 inches
Height of the rectangular prism (h) = 11.5 inches
Total surface area of the rectangular prism = 2(lb+bh+hl)
= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]
[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]
So, option D is correct
Answer:
D! I got it correcttt
Step-by-step explanation:
You are measuring the height of a statue. You stand 17 feet from the base of the statue. You measure the angle of elevation from the ground to the top of the statue to be 61º. Find the height h of the statue to the nearest foot.
Answer:
31 ft
Step-by-step explanation:
The statue represents the side of a right triangle that is opposite the angle of elevation. The distance to the statue represents the side adjacent to the angle. Then ...
Tan = Opposite/Adjacent
tan(61°) = h/(17 ft)
Multiplying by 17 ft, we have ...
h = (17 ft)tan(61°) ≈ 30.67 ft
h ≈ 31 feet
A angle has late of 5 and 2 cm write the possible third number
Answer:
Maybe
Step-by-step explanation:
8 possibly could be a number
THIS IS MATH WORK AND IS VERY CONFUSING
I NEED HELP PLEASE
ASAP PLEASE
(Could you show work too thanks :D)
Step-by-step explanation:
1.
First blank: total amount of outcomes
2.
since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.
3.
a) F
b) F
c) T
d) T
e) T
f) T
4.
17/36, because 17 of the answers are greater than 10 and there are 36 total answers.
Sorry I didn't answer all of them, hopefully this still helps!
Goodluck with your schoolwork/homework!
--------------------------------------------------------------
Apologies in advance for any errors/bad explanations.
The graph of the invertible function f is shown on the grid below.
What is the value of f -1(6)?
We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of [tex]y=f(x)[/tex].
We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.
So to find inverse of a function we need to switch all x and y values.
We can see that [tex]f(4)=6[/tex], so to to find value of [tex]f^{-1}(6)[/tex], we have to switch x and y values.
After switching x and y values, we will get:
[tex]f^{-1}(6)=4[/tex]
Therefore, [tex]f^{-1}(6)=4[/tex].
Answer:
4
Step-by-step explanation:
Aiko is building a tower out of paper. She starts by making 2 congruent circular bases. She then makes 1 curved surface for the body of the tower. What three-dimensional figure does Aiko build
Answer:
Cylinder
Step-by-step explanation:
Answer:
cylinder
Step-by-step explanation:
Solve : 6(x-4) + 3(x+7)= 3
Answer:
X = 2
Step-by-step explanation:
6(x-4) + 3(x+7)= 3
Open parentheses
6x-24+3x+21=3
Simplify
3x-3=3
Add 3 onto both sides
3x=6
And...
X = 2The product of two consecutive natural numbers is 19 greater than their sum. Find thee numbers.
Answer:
The numbers are suppose to be natural numbers that is positive integers form 1 upward. So the numbers will be 5 and 6.
Step-by-step explanation:
The product of 2 consecutive natural numbers is 19 greater than their sum . We need to understand important terms in this question like consecutive and natural numbers.
Consecutive numbers are numbers that follows each other continuously from smallest to largest. Natural numbers are numbers that includes all the positive numbers from 1 to infinity example 1, 2, 3, 4............infinity.
Let the consecutive number be a and a+1.
The product of this 2 numbers are when you multiply them. Therefore,
a(a + 1) = a² + a
The sum of the 2 numbers are their addition. Therefore,
a + (a + 1) = 2a + 1
The product is 19 greater than the sum. This means the product of this numbers minus the sum of this numbers is equals to 19.
a² + a - (2a + 1) = 19
a²+ a - 2a - 1 = 19
a²- a - 20 = 0
Find the numbers that can be multiplied to get -20 and added together to get -1. The numbers are 4 and -5
a² + 4a - 5a - 20 = 0
a(a + 4) - 5(a + 4) = 0
(a + 4)(a - 5) = 0
a = - 4 and a = 5
The numbers are suppose to be natural numbers that is positive integers from 1 upward. So the numbers will be 5 and 6.
To prove it
5 × 6 = 30(products)
5 + 6 = 11(sum)
30 - 11 = 19
The distance between the origin and the point representing the real number.
Answer: I believe the answer you're looking for is absolute value
I hope this helps!!!
What is the area, in square units, of a rectangle with a length of 3/7 and a width of 2/9?
Answer:24
Step-by-step explanation:
fdgwgwrgwg
3 2/3+2.3 repeating
Answer:
6.
Step-by-step explanation:
2.3 repeating = 2 1/3
So 3 2/3 + 2 1/3
= 5 + 1
= 6.
Answer: 6
Step-by-step explanation:
[tex]3\frac{2}{3}+2.3^-[/tex]
Let's begin by converting the repeating decimal to a fraction and then to a mixed number.
Take the number:
[tex]2.3^-[/tex]
Let x (our result) be equal to that number.
[tex]x=2.3^-[/tex]
Multiply by 1 followed by as many zeros as repeating decimals; in this case 1. Therefore, 10.
[tex]10x=2.3^-*10[/tex]
This basically moves the decimal point one number to the right and since we have infinite 3's, we simply move 1 three and add another.
[tex]10x=23.3^-[/tex]
Subtract this and the original equation ([tex]x=2.3^-[/tex])
[tex]10x=23.3^-\\-x=2.3^-[/tex]
-----------------
10 - 1 = 9 and we have the same infinite repeating number 3, therefore they cancel out, leaving 23-2 = 21
[tex]9x=21[/tex]
Divide by 9
[tex]x=\frac{21}{9}[/tex]
Simplify by 3.
21/3=7
9/3=3
[tex]x=\frac{7}{3}[/tex]
Now, convert to a mixed number. To do this, divide.
7/3=2
6
-------
1
The 2 is the whole number, 1 is the numerator and 3 the denominator.
[tex]2\frac{1}{3}[/tex]
------------------------------------------------------------------------------------------------
Now we can solve this;
[tex]3\frac{2}{3}+2\frac{1}{3}[/tex]
Add the whole numbers and the fractions separately.
[tex](3+2)+(\frac{2}{3}+\frac{1}{3})[/tex]
[tex]5\frac{3}{3}[/tex]
3 and 3 can be simplied.
3/3=1
3/3=1
[tex]5\frac{1}{1}[/tex]
The result is 1, add this to the 5.
[tex]5+1=6[/tex]
