Answer:
- 8/3
Step-by-step explanation:
Simply subtract 4 from 4/3
4/3 - 4 = 4/3-12/3=-8/3
Lets check of our answer is correct:
4 - 8/3 = 12/3 - 8/3 = 4/3. So our answer is correct.
please answer it asap.
Answer:
8^2
Step-by-step explanation:
Arithmetic sequence 2,5...
^^Given the arithmetic sequence above, what are the next 3 values
A. 15,45,135
B. 11,20,32
C. 8,11,14
Find the perimeter. Round to the two decimal places as needed.
Notice that we can draw a right triangle inside the figure like this:
to find the perimeter, we must first find the hypotenuse of the triangle that we got. Then, using the pythagorean theorem, we have:
\(x=\sqrt[]{(5)^2+(12)^2}=\sqrt[]{25+144}=\sqrt[]{169}=13\)we have that the length of the missing side is 13 yd. then, the perimeter of the figure is:
\(P=10+12+15+13=50\)therefore, the perimeter is 50 yards
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
Learn more about the end behavior of function here:
brainly.com/question/11808280
#SPJ1
If 4 pounds of sugur cost $2, the cost of 1 pound of sugar cost
Answer:
50 cent
Step-by-step explanation:
Answer:
.50¢
Step-by-step explanation:
50 cents = 1 pound
$1.00 = 2 pound
$1.50 = 3 pounds
$2.00 = 4 pounds
basically adding 50 cents equals to $2
HELPPP PLEASE!!!!!!!!!
A company that makes cartons finds that the probability of producing a carton with a puncture is 0.04, the probability that a carton has a smashed comer is 0.1, and the probability that a carton has a puncture and has a smashed corner is 0.004. Answer parts (a) and (b) below
(a) Are the events "selecting a carton with a puncture" and "selecting a carton with a smashed cormer mutually exclusive? Explain.
A. Yes, a carton cannot have a puncture and a smashed corner
B. Yes, a carton can have a puncture and a smashed corner y
C. No, a carton can have a puncture and a smashed corner.
D. No, a carton cannot have a puncture and a smashed corner.
(b) If a quality inspector randomly selects a carton, find the probability that the carton has a puncture or has a smashed comer. The probability that a carton has a puncture or a smashed corner is (Type an integer or a decimal. Do not round.) ?
Answer:
a) C. No, a carton can have a puncture and a smashed corner.
b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.
Step-by-step explanation:
To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.
Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.
The answer is "C. No, a carton can have a puncture and a smashed corner."
We can calculate the probability that the carton has a puncture or has a smashed comer simply by adding the probability of each event:
\(P(X\cup Y)=P(X)+P(Y)=0.1+0.04=0.104\)
P(X ∪ Y): probability that a carton has a puncture or a smashed corner.
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
Find the area of the triangle. around intermediate values to the nearest tenth. Use rounded values to calculate the next value. Found your final answer to the nearest tenth
The area of the triangle is 97.07 units².
Given is a triangle we need to find the area,
So, let the triangle be ABC and the altitude be AD.
Using the trigonometric ratios,
Sin 52° = AB / AD
Sin 52° = 9 / AD
AD = 9 / Sin 52°
AD = 11.42
Now,
Tan 26° = DC / AD
Tan 26° = DC / 11.42
DC = 5.56
Also,
Cos 26° = AD / AC
Cos 26° = 11.42 / AC
AC = 12.7
BC = 11.42 + 5.56
BC ≈ 17
Now, the sides are BC = 17, AC = 12.7 and AB = 9,
The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42
= 5.71 x 17
= 97.07
Hence the area of the triangle is 97.07 units².
Learn more about area of a triangle click;
https://brainly.com/question/27683633
#SPJ1
i need help!!!! does anyone know this..!!???
The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.
How to determine the period of the frequency factor b given above?The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.
The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.
Learn more about frequency here:
https://brainly.com/question/30466268
#SPJ1
PLEASE HELP
The table of values represents an exponential function.
What is the y-coordinate of -3f(x-1) when x = 0
Enter your answer in the box.
SEE PHOTO
The y-coordinate of -3f(x-1) when x = 0 is -63
What is the y-coordinate of -3f(x-1) when x = 0From the question, we have the following parameters that can be used in our computation:
The table of values
So, we have
-3f(x - 1)
When x = 0, we have
y = -3f(0 - 1)
This gives
y = -3f(-1)
From the table, we have
y = -3 * 21
Evaluate
y = -63
Hence, the y-coordinate is -63
Read more about exponential function at
https://brainly.com/question/2456547
#SPJ1
Your dad has made a drink for you, using 1.5 ounces of rum and 2.5 ounces of Coke. Your mom scolds your dad and says that drink is too strong. She insists your dad pour in some more Coke until the mixed drink is only 20% rum. How many ounces of Coke should your dad add?
Answer:
Dang bro that mom gotta chill
Step-by-step explanation:
Answer:If you answered YES to these questions, then this is the article for you! ... Awaken your inner bartender by adding different garnishes to this cocktail! Fill up a cup halfway with ice; 1.5 ounces of gin; Top it off with seltzer ... Ginger ale can be used, but be careful not to make the drink too sweet. Campari soda
Step-by-step explanation:
A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?
HELP PLSSS !!!
Answer:
27 minutes
Step-by-step explanation:
3 + 2 = 5
45 / 5 = 9
3 * 9 : 2 * 9
27 : 18
Help help help math math math
Answer:
I think yes is the correct answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let
Answer:
Yes
Step-by-step explanation:
Because they are different
What is the ratio of red sections to green sections, in the lowest terms?
Answer:
4 to 4
Step-by-step explanation:
A roller coaster travels 350 feet
horizontally and then travels 130 feet
at an angle of 60° from the ground.
What is the magnitude and direction of the
resultant vector?
Answer:
its 430
Step-by-step explanation:
PLEAS ANSWER ASAP I WILL GIVE BRIAINLYIST
The coordinates of the vertices of a polygon are (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1).
What is the perimeter of the polygon to the nearest tenth of a unit?
A.16.0 units
B.17.2 units
C.15.4 units
D.18.8 units
The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem iis approximately 16 units
What is the Pythagorean Theorem?The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the point.
The coordinates of the vertices of the polygon are;
(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)
The length of the sides are therefore;
3 - 1 = 2,
√((-1 - (-3))² + (5 - 3)²) = 2·√2
√((2 - (-1))² + (4 - 5)²) = √(10)
4 - 1 = 3
2 - (-3) = 5
The perimeter is therefore;
2 + 2·√2 + √(10) + 3 + 5 ≈ 16
The perimeter of the polygon is approximately 16 unitsLearn more about the perimeter of a polygon here:
https://brainly.com/question/15569329
#SPJ1
PLEASE HELP! LOOK AT THE IMAGE
The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula
C = 5 (F – 32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
Click on the graphic to match the equation with its correct graph. y = - x
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The graph of the given equation can be drawn as shown below.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The graph of the given equation can be drawn as shown below.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ1
The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
learn more about perimeter here:
https://brainly.com/question/28499208
#SPJ9
123.8 ÷ 62 ≈ plz help me.
Answer:
1.99677419355
Step-by-step explanation:
Answer:
1.996 rounds to 2
Step-by-step explanation:
In a random sample of cars driven at low altitudes, of them exceeded a standard of grams of particulate pollution per gallon of fuel consumed. In an independent random sample of cars driven at high altitudes, of them exceeded the standard. Can you conclude that the proportion of high-altitude vehicles exceeding the standard is less than the proportion of low-altitude vehicles exceeding the standard
Complete question is;
In a random sample of 370 cars driven at low altitudes, 43 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 80 cars driven at high altitudes, 23 of them exceeded the standard. Can you conclude that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard at an level of significance? Group of answer choices
Answer:
Yes we can conclude that there is enough evidence to support the claim that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard (P-value = 0.00005).
Step-by-step explanation:
This is a hypothesis test for the difference between the proportions.
The claim is that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard.
Then, the null and alternative hypothesis are:
H0 ; π1 - π2 = 0
H1 ; π1 - π2 < 0
The significance level would be established in 0.01.
The random sample 1 (low altitudes), of size n1 = 370 has a proportion of;
p1 = x1/n1
p1 = 43/370
p1 = 0.116
The random sample 2 (high altitudes), of size n2 = 80 has a proportion of;
p2 = x2/n2
p2 = 23/80
p2 = 0.288
The difference between proportions is pd = (p1-p2);
pd = p1 - p2 = 0.116 - 0.288
pd = -0.171
The pooled proportion, we need to calculate the standard error, is:
p = (x1 + x2)/(n1 + n2)
p = (43 + 23)/(370 + 80)
p = 66/450
p = 0.147
The estimated standard error of the difference between means is computed using the formula:
S_(p1-p2) = √[((p(1 - p)/n1) + ((p(1 - p)/n2)]
1 - p = 1 - 0.147 = 0.853
Thus;
S_(p1-p2) = √[((0.147 × 0.853)/370) + ((0.147 × 0.853)/80)]
S_(p1-p2) = 0.044
Now, we can use the formula for z-statistics as;
z = (pd - (π1 - π2))/S_(p1-p2)
z = (-0.171 - 0)/0.044
z = -3.89
Using z-distribution table, we have the p-value = 0.00005
Since the P-value of (0.00005) is smaller than the significance level (0.01), then the effect is significant.
We conclude that The null hypothesis is rejected.
Thus, there is enough evidence to support the claim that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard.
QuestionThe following datavalues represent the daily amount spent by a family during a 7 day summer vacation.Find the population standard deviation of this dataset:$96, $125, $80, $110, $75, $100, $121(Round your answer to 1 decimal place).
Answer:
17.7
Explanation:
Given the dataset:
$96, $125, $80, $110, $75, $100, $121
To find the population standard deviation, use the formula:
\(\sigma=\sqrt{\frac{\sum\left(x_{i}-\mu\right)^{2}}{N}}\)Step 1: Find the mean
\(\begin{gathered} \text{Mean,}\mu=\frac{96+125+80+110+75+100+121}{7} \\ =\frac{707}{7} \\ =101 \end{gathered}\)Step 2: Subtract the mean from each data point, square it and add them up:
\(\begin{gathered} (96-101)^2+(125-101)^2+(80-101)^2+(110-101)^2 \\ ^{}+\mleft(75-101\mright)^2+\mleft(100-101\mright)^2+\mleft(121-101\mright)^2 \\ =25+576+441+81+676+1+400 \\ \sum (x_i-\mu)^2=2200 \end{gathered}\)Step 3: Divide the sum by the number of data points in the population. The result is called the variance.
\(\frac{\sum(x_i-\mu)^2}{N}=\frac{2200}{7}\)Step 4: Take the square root of the variance to get the standard deviation.
\(\begin{gathered} \sigma=\sqrt[]{\frac{2200}{7}} \\ \sigma=17.7\text{ (to 1 decimal place)} \end{gathered}\)What is a counter example conjecture?
9514 1404 393
Answer:
2 and 21 and 4Step-by-step explanation:
Consider the answer choices.
3 & 5: product 15, sum 8 . . . . product > sum
2 & 2: product 4, sum 4 . . . . product = sum (not >)
1 & 4: product 4, sum 5 . . . . product < sum (not >)
Of the offered choices there are two counter examples:
2 and 2
1 and 4
_____
Additional comment
Chances are that the preferred answer is 1 and 4.
1 and <anything> will be a counterexample.
Many newspapers carry a certain puzzle in which the reader must unscramble to form words. how many ways can the letters LEZBA be arranged?
Plz help right answer gets brainly
Answer:
36..............!!!!
Four holes are punched at one endof a belt. The holes are equally spaced with 2 cm between centers.How far is it from the center of the
first hole to the center of the last hole?
Answer:
10 cm
Step-by-step explanation:
o o o o
Above are 4 holes with the center of one hole counting as 1 cm and 2 spaces between them. There is a total of 4 holes and 3 gaps.
4x1=4
2x3=6
6+4=10
Therefore, your answer would be 10 cm from the center of the first hole to the center of the last hole.
Can anyone help me solve this or atleast give me the answers
The measure of the angles formed between parallel lines and their transversals indicates;
(c)(e)(a)(d)(b)(f)(e)(a)m∠MNP = 56°m∠WXZ = 130°9. m∠3 = 97°, m∠5 = 97°, m∠10 = 97°, m∠7 = 83°
What are parallel lines?Parallel lines are lines that maintain the are equidistant from each other and have the same slope on the coordinate plane.
The angles formed between the parallel lines and their transversal are;
1. Alternate exterior angles; (c) ∠9 and ∠16
2. Supplementary angles (e); ∠15 & ∠11
3. Alternate interior angles (a); ∠10 & ∠15
4. Vertical angles (d); ∠12 & ∠15
5. Corresponding angles (b); ∠9 & ∠11
6. None (f); ∠9 & ∠15
7. Supplementary angles (e); ∠13 & ∠14
8. Alternate interior angles; ∠14 & ∠11
9. The alternate interior angles theorem indicates that we get;
(a + 28) = 2·a
Therefore; 2·a - a = 28
2·a - a = a, therefore;
a = 28
∠MNP = (a + 28)° = (28 + 28)° = 56°
10. The alternate interior angles theorem indicates that we get;
5·y° = (2·y + 78)°
Therefore;
5·y - 2·y = 78
3·y = 78
y = 78/3 = 26
The measure of the angle WXZ, m∠WXZ = 5·y°
Therefore; m∠WXZ = 5 × 26 = 130
m∠WXZ = 130°
9. ∠2 ≅ ∠3 (Vertical angles theorem)
m∠2 = m∠3
Therefore; m∠3 = m∠2 = 97°
m∠5 + m∠6 = 180° (Linear pair angles theorem)
m∠5 + 83° = 180°
m∠5 = 180° - 83° = 97°
∠10 and ∠2 are corresponding angles, therefore;
m∠10 = m∠2 = 97°
∠7 and ∠6 are vertical angles, therefore;
m∠7 = m∠6 = 83°
∠9 and ∠3 are same side interior angles, therefore;
m∠9 + m∠3 = 180°
m∠9 = 180° - m∠3
m∠9 = 180° - 97° = 83°
∠8 and ∠6 are linear pair angles, therefore; m∠8 = 180° - 83° = 97°
∠16 and ∠6 are same side exterior angles, therefore;
m∠16 + m∠6 = 180°
m∠16 = 180° - 83° = 97°
Learn more on angles formed between parallel lines and their transversals here: https://brainly.com/question/10253728
#SPJ1
ABC = EDC, AB=8, BC = 5 DC = ?
Answer:
5
Step-by-step explanation:
AB = ED
BC = DC
AC = EC
Topic: Congruence and similarity
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Green beans cost $4 for 2 lbs. What would be the cost for 7 lbs ?
plz thank yall
Answer:
$14 is the answer, hope this helps
Answer:
creo que son 14
Step-by-step explanation:
$4 ---> 2 lbs
X -----> 7 lbs
X = (4*7)/2 ------> X = 14 lbs