Answer:
here's the answer
Step-by-step explanation:
-0.65, -1/4, -1
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?
The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)
1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)
2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).
3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).
4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)
5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)
6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)
7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)
8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)
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FOR THE DATA: 63 76 88 75 82 82 94 61, FIND THE FOLLOWING:A) MEAN __________B) MEDIAN __________C) MODE __________D) MIDRANGE __________E) RANGE __________
GIVEN:
We are given the following data set;
\(63,76,88,75,82,82,94,61\)Required;
To calculate the following;
\(Mean,Median,Mode,Midrange\text{ }and\text{ }Range.\)Step-by-step solution;
To calculate the mean of a data set, we use the following formula;
\(\begin{gathered} Mean=\frac{\Sigma x}{n} \\ \\ Where;\text{ }x=individual\text{ }data,\text{ }n=number\text{ }of\text{ }data \end{gathered}\)We now calculate as follows;
\(\begin{gathered} Mean=\frac{63+76+88+75+82+82+94+61}{8} \\ \\ Mean=77.625 \end{gathered}\)To calculate the median we re-arrange the data set in order from least value to greatest value.
\(61,63,75,76,82,82,88,94\)We now observe the number that lies in the middle of the set. We do this by counting the same number of individual data both from the left and from the right. The point where the number count meets is the midpoint and there we have our median value.
For this data set, the values in the middle of the set are;
\(middle\text{ }values=76,82\)In a case where we have two numbers, we add them up and divide by 2. The result would now be the median of the data set.
Hence;
\(\begin{gathered} Median=\frac{76+82}{2} \\ \\ Median=79 \end{gathered}\)The mode is the value that has the highest frequency. That is, the one which occurs most often in the entire data set. For the given data set, the mode is
\(Mode=82\)The midrange is the value that lies midway between the least value and the highest value. In other words, we add up the least value and highest value and divide the result by 2. What we have after that is the midrange, that is;
\(\begin{gathered} Midrange=\frac{61+94}{2} \\ \\ Midrange=77.5 \end{gathered}\)The range is the difference between the least value and the greatest value, that is;
\(\begin{gathered} Range=94-61 \\ \\ Range=33 \end{gathered}\)Therefore, we now have our answers as follows,
ANSWER:
\(\begin{gathered} Mean=77.625 \\ \\ Median=79 \\ \\ Mode=82 \\ \\ Midrange=77.5 \\ \\ Range=33 \end{gathered}\)fill in the blanks please
help as soon as possable
Answer:
Step-by-step explanation:
I can't see the answer choices pls come back when you have them
Are these two complementary 53, 127
Answer:
180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.
Step-by-step explanation:
Answer:
No, these two numbers are not complementary. 180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.
Step-by-step explanation:
In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
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Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
I really need the answer to this
Answer:
Y inter=4
Slope= -5/2
Step-by-step explanation:
First find the slope y1-y2/x1-x2
Find two points (0,4) and (2,-1) Subtract 4-(-1)/0-2
-5/2 The y intercept is 4 because thats where x is 0
So the the equation is y=-5/2x+4
Where -5/2 is slope and 4 is Y intercept
An item originally costs $49.95 and is on sale for 33% off the original price. The sales tax is 5.75%. Find the cost of the item.
Answer:
$35.39
Step-by-step explanation:
HELP! I will give brainliest!! This is overdue!!!
Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer than the other. To find the side lengths, he first writes the equation (x)(x+5)=66 and later simplifies it to (x-6(x+11)=0, where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply.
1
5
6
11
16
Answer:
The shorter side 6th ft and the longer sides are 11ft
Step-by-step explanation:
The options are not given, but we could solve and arrive at an answer
say the shorter side is x
and the longer side is x+5
we know that the area of a rectangle is given as
x*(x+5)=66
open the bracket
x^2+5x=66
x^2+5x-66=0
Find two factors of -66 whose sum equals the coefficient of the middle term, which is 5 .
the factors are 11 and -6
splitting the middle term using the two factors 11 and -6
x2 +11x - 6x - 66=0
x(x+11)-6(x+11)=0
(x-6)=0
x=6
(x+11)=0
x=-11
The shorter side is 6 ft and the longer side is 11 ft
Help please, I'm stuck
Answer:
Z<-3 is the anwser to this question, good luck !
Multiply through by LCM, 4
\( \frac{ - 3z - 1}{2} \times 4 > \: \: \: \frac{4}{1} \times 4\)
\(2( - 3z - 1) > 16\)
\( - 6z - 2 > 16\)
\( - 6z > 16 + 2\)
\( - 6z > 18\)
\( \frac{ - 6z}{ - 6} < \frac{18}{ - 6} \)
\(z < - 3\)
what is the answer for this question??? i need it
Answer:
f(4)=14
Step-by-step explanation:
a) u do it by substituting 4 in places where there r 'x'
since this one say f(4) it only can go to the function which says f(x)
f(x)=4x-2
f(4)=4(4)-2, so according to BODMAS rule multiplication comes first rather than subtraction
so, f(4)=16-2=14
f(4)=14
do the others based on this, hope i explained well, if i did, please gimme brainliest :)
A hotel manager records the number of bookings made at various prices during July.What type of correlation does the graph show?
Answer:
below
Step-by-step explanation:
if positive increases
if negative decreases
Solve the equation 1/4(16+12x) =28 by first using the distributive property
Answer: x=8
Step-by-step explanation:
Answer:
The equivalent equation is found by distributing the 1/4 to get 4 + 3x = 28
The first step is subtract 4 to both sides.
The second step is divide both sides by 3.
The answer is x = 8
i did it wrong in edg, but it shows the correct answers at the end :)
There were five football games at school. The number of hotdogs sold at the first four games were 523 604 544 596
The mean number of hotdogs sold at five games was 573.
How many hotdogs were sold at the fifth football game?
Total sold at 4 games: 523 + 604 + 544 + 596 = 2,267
Mean is the average, multiply mean by total games to find total sold:
573 x = 5 = 2,865 total
Now subtract for the amount sold at the 5th game:
2865 - 2267 = 598 hotdogs sold at 5th game.
Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!
Answer:
The yellow polygon is the scaled version of the red one (scaled by 3×), so the variable w = 9
Answer:
9
Step-by-step explanation:
The similarity ratio is 4/x = z/9 = 2/6 = 3/w = y/15
2/6 = 3/w cross multiply expressions 2w = 18 and w = 9
What rigid motion maps the solid-line figure onto the dotted-line figure?
A. reflection
Brotation
Ctranslation
The rigid motion of the solid line figure is translated to the dotted line figure.
How to find the rigid motion maps a solid line?Translation describe a function that moves an object a certain distance.
In a translation, every point of the object must be moved in the same direction and for the same distance.
In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.
Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation
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Rectangle A and rectangle B are similar.
Rectangle A has a length of 6.2 centimeters
and a width of 5.6 centimeters. Rectangle B
has a length of 21.7 centimeters. What is the
perimeter of rectangle B?
Answer:
82.6 cm
Step-by-step explanation:
First, we make a proportion:
6.2(length A) / 5.6(width A) = 21.7(length B) / x(width B)
Cross multiply: 6.2 * x =( 21.7) * (5.6)
Divide both sides by 6.2: x = 19.6
So the width of rectangle B is 19.6. Now lets find the perimeter
19.6 + 19.6 + 21.7 + 21.7 = 82.6 cm
I hope this helped, please mark Brainliest, thank you!
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Change 2.32 kilograms to grams
Answer:
2,320 grams.
Step-by-step explanation:
Multiply by 1000 to get grams.
Can someone help me with this???
The answer to number 2 is- no it's not a right triangle
the answer to number 3 is- yes it is a right triangle
a cd player holds 5 CDs and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favorite song is played first as a fraction
Answer:
The probability that your favorite song is played first is 1/60
Step-by-step explanation:
We assume that all 5 CDs have different songs so that only one of CDs will have our favorite song.
Then The probability that the CD that contains the song comes first will be,
(since there are 5 CDs)
1/5
And that CD has 12 songs, the probability that our favorite song will play first is then,
1/12
The total probability of our favorite song playing will be the product of these two, so,
P = (1/5)(1/12) = 1/60
P = 1/60
The probability that your favorite song is played first is 1/60
1. Use the elimination strategy to solve this linear system:
(1) 12c + 28d = 12 (2) -20c + 16d = 168
2. Determine the number of solutions of this linear system:
(1) 7x − 3y = 43 (2) 7x - 3y = 13
The solution to the linear system is c = -6 and d = 3.
To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:
(1) 12c + 28d = 12
(2) -20c + 16d = 168
To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:
(1) 60c + 140d = 60
(2) -60c + 48d = 504
Now, we can add the equations:
(60c + 140d) + (-60c + 48d) = 60 + 504
188d = 564
d = 564/188
d = 3
Substituting the value of 'd' back into equation (1):
12c + 28(3) = 12
12c + 84 = 12
12c = 12 - 84
12c = -72
c = -72/12
c = -6
The solution to the linear system is c = -6 and d = 3.
Now let's analyze the second linear system:
(1) 7x - 3y = 43
(2) 7x - 3y = 13
By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.
The linear system has no solution.
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The ratio of the amount of money Rachel saved to the amount of money Timothy saved was12 : 13. After Timothy spent $27, Rachel had 3 times as much as Timothy,A. How much did Rachel save?b How much did they save altogether at first?
For a)
Before
Rachel : Timothy
12 : 13
After
Rachel : Timothy
3 : 1
In order to have the same amount for Rachel
12: 4
Timothy
13units -4 units =9 units
9units=$27
1 unit=27/9
1unit = $3
For Rachel
Rachel saved $36
b)
Total units at first =12+13=25
If 1units is $3
25 units is 3x25
25 units is $75
They saved together 75
ANSWER
Rachel saved $36
They saved together 75
I want you to find the answer
The value of length BC is 18.9
What is cosine rule?Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
Therefore,
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
Therefore, the length of BC is 18.9
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In the triangle, the value of the side BC is 18.9cm to 1 decimal place
How to determine BC?The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
The cosine formula states that
c² = a² + b² - 2abcosC
To find the length BC we use cosine rule.
c² = 13² + 7² - 2(13)(7)cos140
c² = 218 - 182cos140
c² = 218-(-139.42)
c² = 218+139.2
c² = 357.2
c = √357.2
c = 18.9
In conclusion, the value of the length of BC is 18.9cm
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The total amount of time University students in the United States spend sleeping,grooming,eating and drinking and traveling is about?
Answer:
11.7 hours
Step-by-step explanation:
According to data gathered between the years of 2015-2020 from full-time University Students at various Universities throughout the US, it was discovered that they spend roughly 11.7 hours completing these tasks (sleeping, grooming, eating/drinking, and traveling) per day. This applies strictly to full-time University Students that have the responsibilities associated with that life such as studying, attending class, group projects, etc. and does not include extra activities such as cooking.
I need help with this problem please
10. (5 + 4 – 2) × (-2) = ?
O A. -14
B.-22
C. 14
D. 22
Answer:
A. -14
Step-by-step explanation:
PEMDAS
(9-2)*(-2) = x
(7)*(-2) = x
-14 = x