Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1) [tex]x = 6.2\times 12[/tex] Given.
2) [tex]x = \left(6+0.2\right)\times 12[/tex] Definition of addition.
3) [tex]x = 6\times 12 + 0.2\times 12[/tex] Distributive property.
4) [tex]x = 72 + \frac{2}{10}\times 12[/tex] Definitions of multiplication and decimal number.
5) [tex]x = 72 +[2\cdot (10)^{-1}]\cdot 12[/tex] Definition of division/Associative property.
6) [tex]x = 72 + [2\cdot 12]\cdot (10)^{-1}[/tex] Associative property.
7) [tex]x = 72 + 24\cdot 10^{-1}[/tex] Definition of multiplication.
8) [tex]x = 72 + \frac{24}{10}[/tex] Definition of divsion.
9) [tex]x = 72 + 2.4[/tex] Defintion of decimal number.
10) [tex]x = 74.4[/tex] Definition of addition/Result
Natalia's work is wrong.
An official for a regional baseball league examines attendance data for teams in the league. For each team in the league, the number of losses and the average game attendance is shown in the scatterplot. The value of r for the scatterplot is –0.847.
Which of these data combinations weakens the correlation?
2 losses, 11.9 thousand fans
2 losses, 15.2 thousand fans
5 losses, 10.3 thousand fans
9 losses, 7.7 thousand fans
Answer:
It’s B brotha
Step-by-step explanation:
HELP I DONT UNDERSTAND UGHHH
Step-by-step explanation:
So what you need to do is is how fast they traveled every ten miles once you do that take how fast they traveled every ten miles and multiply it by 9.
So it seems to me that 1 day for most people they walked 10 miles. So if it takes 7 days for them to get there you need to do 90 divided by 7 which will get you your answer.
I hope this helped you understand better!
Answer: 11 3/7 miles per day, and it will take them 7.875 days to go 90 miles
Suppose we want to test to see if a roulette wheel is balanced. The wheel is spun 100 time resulting in 58 red outcomes. Is this evidence that the roulette wheel is out of balance
Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
DUE AT 11:59 PLEASE ANSWER NOW
Answer:
g = 6
Step-by-step explanation:
5.2g + 10 = 2.2g + 28 (Given)
3g + 10 = 28 (Subtracted 2.2g on both sides)
3g = 18 (Subtracted 10 on both sides)
g = 6 (Divided 3 on both sides)
To check to make sure you are correct, simply substitute your answer for g:
5.2(6) + 10 = 2.2(6) + 28
31.2 + 10 = 13.2 + 28
41.2 = 41.2
You'll know you're correct if they both equal the same. In this case, the solution works.
7 + k/4= 9
what does k=?
Answer: k=8
Step-by-step explanation: So your equation is 7+k/4=9. Remember, the goal of this problem is to isolate the k. The first thing you should do is subtract 7 from both sides. You should get k/4=2. Then, multiply both sides by 4 to isolate the k. You should get k=8. Hope this helps!
joe is selling sweatshirts for 20% off the regular price of $25.00.
Find the value of 0 and round to the nearest whole degree
Answer:
57°
Step-by-step explanation:
[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]
PLEASE HELP!!!!!
Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?
Given:
Center of hyperbola is at (h,k).
To find:
The standard forms of a hyperbola.
Solution:
We know that, standard forms of a hyperbola are
1. For Horizontal hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
2. For Vertical hyperbola:
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center of the hyperbola.
Therefore, the correct option is B.
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player in an infielder.
Let O = the event that a player is an outfielder.
Let H = the event that a player is a great hitter.
Which is the correct symbol for the probability that a player is an infielder or is not a great hitter?
a. P(I|¯H)
b. P(¯H|I).
c. P(I or ¯H).
d. P(I and ¯H).
Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]
Step-by-step explanation:
Notation to show "not an event E" : [tex]\overline{E}[/tex]
Given: I = the event that a player in an infielder.
H = the event that a player is a great hitter.
= the event that a player is not a great hitter.
The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]
hence, the correct option is c. [tex]P(I \text{ or }\overline{H})[/tex]
Select the expressions that are equivalent to 8(6m).
[tex]\textsf{Hey there!}[/tex]
[tex]\text{Select the expressions that are equicalent to 8(6m)}\downarrow[/tex]
[tex]\text{We DON'T have any like terms so we CAN'T pair them off!}[/tex]
[tex]\mathsf{8(6m) \rightarrow 8 \times 6 \times \ m}\\\mathsf{8\times 6 = 48}}\\\mathsf{48\times\ m = 48m}\\\\\\\boxed{\boxed{\mathsf{Answer: \bf{48m}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
what is the measure of E
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
Question 12(Multiple Choice Worth 5 points) (02.05 MC) Triangle ABC is transformed to obtain triangle A′B′C′: A coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. Triangle ABC has A at ordered pair 2, 2, B at 2, 10, C at 8, 12. Triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 1,B prime at negative 1, negative 5, C prime at negative 4, negative 6. Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 90 degrees
Answer:
Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
hope it helps!
Step-by-step explanation:
Triangle ABC is similar to triangle A'B'C' because Triangle A'B'C' is obtained by dilating Triangle ABC by a scale factor of 1 over 3 and then rotating it about the origin by 180 degrees.
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82%There are 24 students in a class.
8 of the students are boys.
b)
a)
Write the amount of boys in the class as a fraction in its simplest form.
b)
Write the amount of girls in the class as a fraction in its simplest form.
Answer:
Boys: 1/3
Girls: 2/3
Step-by-step explanation:
There are 8 boys in the class out of 24 students.
The fraction will be 8/24. Both the numerator and the denominator are divisible by 8.
8 ÷ 8 = 1
24 ÷ 8 = 3
The simplest form will be 1/3.
There are 16 girls in the class because 24 - 8 = 16.
The fraction will be 16/24. Both numbers are divisible by 8.
16 ÷ 8 = 2
24 ÷ 8 = 3
The simplest form will be 2/3.
Hope that helps.
Which statement is correct?
A. Secant is the reciprocal of sine.
B. Cotangent is the reciprocal of tangent.
C. Cosecant is the reciprocal of cosine.
D. Cosine is the reciprocal of cotangent.
SUBMIT
Answer:
Solution in photo
Step-by-step explanation:
The statement that is correct is Cotangent is the reciprocal of tangent.
What is cotangent?The term cotangent can be written as ( cot ). It is said to be the reciprocal of the tangent and It is one whose ratio of its adjacent side is said to be the opposite side that is found in a right triangle.
Therefore, we can say that The statement that is correct is Cotangent is the reciprocal of tangent as it is the correct one among the options.
Learn more about tangent from
https://brainly.com/question/4470346
#SPJ2
What does the word slope mean?
If an independent-measures design is being used to compare two treatment conditions, then how many different groups of participants would be needed and how many scores would there be for each participant
Answer:
2 groups and 1 score for each participant
Step-by-step explanation:
An independent measures design is a defined as a research method whereby multiple experimental groups are examined and the participants will only be in one group. Now, each participant will only be affected by one condition of the independent variable during the experiment.
In the question given, we want to use the method I just described to compare two treatment conditions.
This means that there will be two groups and each participant in both groups will be assigned one score.
Which equation has infinitely many solutions?
A.
-5(x + 2) = -4x- 12 - X + 2
B.
3x- 4 + 2x = 5(x-4)
c. 5(x + 7) = -5(x-7)
D
6x+ 2 - X=-2x - 2 + 7x
Answer:
A. -5(x + 2) = -4x - 12 - x + 2
Step-by-step explanation:
The equation that has infinitely many solutions will be the same on both sides.
A is the correct answer.
Simplify the equation by distributing -5 and adding like terms:
-5(x + 2) = -4x - 12 - x + 2
-5x - 10 = -4x - 12 - x + 2
-5x - 10 = -5x - 10
So, this equation is the same on both sides and will have infinitely many solutions.
A is the correct answer.
Answer:
A has infinitely many solutions
Step-by-step explanation:
Once you distribute A you get
-5x-10= -4x-12-x+2
Once you simplfy all that you get
-5x-10= -5x-10
You can check this by putting in a random number and both sides will be equal.
How? Just how I'm horrible at math
Answer:
c)[tex] \frac{x + 2}{x - 3} . \frac{4}{x + 2} [/tex]Which of these expressions is equivalent to?
Number 4
expand and simplify x(x-3)(x+5)
Answer:
x³ + 2x² - 15x
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
x(x - 3)(x + 5)
Step 2: Expand
Distribute x: (x² - 3x)(x + 5)FOIL: x³ + 5x² - 3x² - 15xCombine like terms: x³ + 2x² - 15xThe measure of <1
I don’t understand how to solve
Answer:
<1=55°
Step-by-step explanation:
180-125=55
Solve the inequality –1 > –2(x – 4) – 5(4x – 7).
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]–1 > –2(x – 4) – 5(4x – 7)[/tex]
[tex]–1 > –2x + 8 –20x + 35[/tex]
[tex]–1 > - 22x + 43[/tex]
[tex] - 1 - 43 > - 22x[/tex]
[tex] - 44 > - 22x[/tex]
[tex] \frac{ - 44}{ - 22} < \frac{ - 22x}{ - 22} [/tex]
[tex]2 < x[/tex]
[tex]x > 2[/tex]
There are 3 times as many children as adults at the zoo. Complete the table with possible combinations of adults and children and write an equation that represents all the possible combinations
Answer:
Step-by-step explanation:
Adults = x, Children =y
3y=x
What is the rate of change of y with respect to x for 9x-11y+2=0?
Answer:
the rate of chnge would be 9/11x
Step-by-step explanation:
here's a pic of my process:
Each pair of figures is similar. Find the missing length. Round to the nearest tenth where necessary.
Answer:
x=5 and n=36
Step-by-step explanation:
For the first question: 32/8 = 4/1
4/1 = 20/x
4x = 20
x = 5
For the second question: 63/81 = 21/27
21/27 = 28/x
21x = 756
x = 36
Using the inverse trig functions, find the measure of angle Z to the nearest degree.
1. 19 degrees
2. 90 degrees
3. 20 degrees
4. 71 degrees
Answer:
4
Step-by-step explanation:
because y is 90 and x is 20 so z is 71
someone please help answer this, i need to simplify! it seems simple but i can’t!
Answer: 3
Hope this helps :)
LEO has $30. He splits it with his sister in the ratio 3:2. How much money does leo have left?
Answer:
18
Step-by-step explanation:
What is 6,618 feet in yards
Answer:
2,206 yards
Step-by-step explanation:
To find how many yards there are, we can divide by 3.
6618 / 3 = 2206
Best of Luck!
Answer:
6,618 feet is 2,206 yards.
Step-by-step explanation:
A piecewise function is represented by the graph below.
On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?
9514 1404 393
Answer:
x > 1
Step-by-step explanation:
The open dot at (1, 2) tells you that point is not in the domain. Apparently, the piece represented by f(x) = x+1 extends to +∞ from x = 1.
the domain of the piece is x > 1
Answer:
x>1
Step-by-step explanation: