Answer:
5.2 =x
Step-by-step explanation:
We know the opposite side and the hypotenuse
sin theta = opp/ hypotenuse
sin 48 = x/7
7 sin 48 =x
5.202013778 =x
Rounding to 1 decimal place
5.2 =x
Which of the following is not the solution of the equation 2x 3y=6a) (-3,4) b) (3,-4) c) (0,2) d) (3,0)
The pair in the solution of the equation -2x + 3y = 6 is (0,2).
Solution of equationThe set of all values that, when substituted for unknowns, make an equation true is known as the solution.
Solution of linear equation in two variablesA specific location on the graph is the solution of a linear equation in two variables, where ax+by = c, meaning that when the x-coordinate is multiplied by a and the y-coordinate is multiplied by b, the sum of these two values equals c. There are essentially an endless number of solutions to a linear equation with two variables.
Now in the question,
To find the pair of solutions of the equation -2x + 3y = 6, we satisfy all the pairs one by one in the given equation
1. Putting the value of (x, y) as (-3,4) in the equation we get-
-2*-3 +3*4 = 6 ⇒ 18 = 6
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
2. Putting the value of (x, y) as (3,-4) in the equation we get-
-2*3 + 3*-4 = 6 ⇒ -18 = 6
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
3. Putting the value of (x, y) as (0,2) in the equation we get-
-2*0 + 3*2 = 6 ⇒ 6 = 6
Therefore LHS = RHS
Hence it is the solution to the equation.
4. Putting the value of (x, y) as (3,0) in the equation we get-
-2*3 + 3*0 = 6 ⇒ -6 =6
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
Thus (0,2) is the solution of the equation.
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Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!
No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.
Area of a triangle formula is \(A = \frac{1}{2} B\cdot h\)
\(A = \frac{1}{2}\cdot2\cdot 2\)
\(A = \frac{1}{2}\cdot 4\)
\(A = 2\) units^2
And since the two triangles are the same, the other triangle has the same area: 2 units^2
For the square we can use \(A = l\cdot w\)
\(A = 2 \cdot 2\)
\(A = 4\)
Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2
Answer:
8 units²
Step-by-step explanation:
In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: (\(b_{1}\) + \(b_{2}\)) × h/2
In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.
Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:
2 + 2 + 2 = 6
Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:
(\(b_{1}\) + \(b_{2}\))*h/2 where \(b_{1}\) is 2, \(b_{2}\) is 6, and h is 2,
(2 + 6) × 2/2
= 8 × 1
= 8 units²
twenty -five percent of sharda's oranges was 75. How many oranges did sharda have?
To find the total divide the amount known by the percentage.
Total = 75/0.25 = 300
She has 300
a manufacturer must test that his bolts are 5.00cm long when they come off the assembly line. he must calibrate his machines if the bolts are too long or too short. after sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.88cm. he knows that the population standard deviation is 0.44cm. assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? step 2 of 3 : compute the value of the test statistic. round your answer to two decimal places.
Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.
What is test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
Here,
x=4.88 cm
μ=5 cm
σ=0.44 cm
n=49
The test statistic,
=(4.88-5)/(0.44/7)
z=-1.909
The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909
At z=-1.909, p-value=0.0281
2*0.0281=0.0562
The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.
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Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?
Answer:
$126
Step-by-step explanation:
$252/$18=$14 dollars per hour.
now take 14*9 and you get $126.
Answer:
$126
Step-by-step explanation:
Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours, he will make $126 in 9 hours.
Have a nice day! :)
Find the S.P. of a cycle
bought at Rs. 15000 to earn 10 percent profit.
please solve step by step ☺️
and the ans is rs.16500 please rate the answer
What numbers multiply to 3 but add to 2
Answer:
k
Step-by-step explanation:
Answer:
-1 and 3
Explanation:
-1 x 3 = -3
-1 + (3) = 2
the heights of adult women in the us are roughly normally distributed with mean 64.5 inches and standard deviation 2.5 inches. approximately, what is the probability that a randomly selected us adult woman is shorter than 69.5 inches?
The approximate probability that a randomly selected US adult woman is shorter than 69.5 inches is 0.9772 or about 97.72%.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.
We are given that the height of adult women in the US follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.
We need to find the probability that a randomly selected US adult woman is shorter than 69.5 inches.
To find this probability, we need to calculate the z-score first:
z = (x - mu) / sigma
where x is the height we want to find the probability for, mu is the mean, and sigma is the standard deviation.
Substituting the values, we get:
z = (69.5 - 64.5) / 2.5 = 2
Using a standard normal distribution table or calculator, we find that the probability of a z-score of 2 or less is 0.9772.
Therefore, the approximate probability that a randomly selected US adult woman is shorter than 69.5 inches is 0.9772 or about 97.72%.
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Which graph shows the line y = 2x + 3?
Answer: Graph D
Step-by-step explanation:
The slope is 2
x goes after the slope in graph functions
The line goes through 3 on the y-axis so that’s where + 3 comes in.
2x + 3
1. Sketch the solid of rotation formed by rotating the given two-dimensional figure
using the horizontal line shown as an axis of rotation.
The image of the transformation is added as an attachment
How to determine the image of the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
The horizontal line is the axis of rotation
Using the above as a guide, we have the following:
The image of the transformation would be a reflection of the original figure on the other axis
See attachment for the image of the transformation
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Felicity goes to a grocery store to purchase 13 candy bars. The store sells 8 varieties of candy bars. One of the varieties is Snickers and one of the varieties is Twix. (a) How many ways are there for Felicity to make her selection
Therefore, there are 8^13 ways for Felicity to make her candy bar selection at the grocery store.
To calculate the number of ways Felicity can make her selection, we need to consider that she can choose from the available varieties of candy bars. Since there are 8 varieties in total, she has 8 options for the first candy bar. Similarly, for the second candy bar, she still has 8 options since she can choose from the same varieties again. This process continues for all 13 candy bars.
To find the total number of ways, we multiply the number of options for each candy bar together. Since each candy bar is chosen independently, the total number of ways Felicity can make her selection is calculated as 8 multiplied by itself 13 times (8^13). This yields a large number of possible combinations, representing the various ways she can choose candy bars from the available varieties.
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The slope of (-3, 2) and (7, 6)
Show your complete solution
Answer:
So i am guessing you need an equation...
y=0.4x+3.2
Step-by-step explanation:
y=mx+b
y=0.4x+b
6=2.8+b
3.2=b
Simplify (p^6)^4. Write your answer using only positive exponents
Answer:
1/p4
Step-by-step explanation:
Consider p 6 × p − 4
. This is the same as p 6 − 4 = p 2
So now we have ( p 2 ) − 2
This is the same as 1 ( p 2 ) 2
Which is the same as
1 p 2 × 2 = 1 p 4
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Further explanation
Consider p 6 × p − 4
This is the same as p × p × p × p × p × p p × p × p × p
Which is the same as p × p × p × p × p × p p × p × p × p
= p 2 × 1 = p 2
→ p 6 − 4
'.....................................................................
Consider ( p 2 ) 2 This is ( p × p ) 2
→ p × p × p × p = p 4
→ p 2 × 2
But we need
( p 2 ) − 2
The final simplified form of the expression is given as p²⁴
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here; The exponential expression \((p^6)^4\), Simplifying this expression we get as follows:
\((p^6)^4\\=p^(24)\) ( By property of indces multiplication)
Thus the final expression is p²⁴
Hence, The final simplified form of the expression is given as p²⁴
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which two dimensial shape can be roatated about one of its edges to create a cone
Answer:
The Triangle
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
Review the proof of the identity cos(π − A) = −cosA.
cos(π − A)
Step 1: = cosπcosA − sinAsinπ
Step 2: = (−1)(cosA) + (sinA)(0)
Step 3: = −1cosA + (sinA)(0)
Step 4: = −cosA + 0
Step 5: = −cosA
At which step was an error made?
step 1
step 2
step 3
step 4
In the proof of given identity, cos(π - A) = -cos A. Therefore, step 1 is error made.
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.
The given identity is,
cos(π - A) = -cos A.
Use formula for cos(a − b) = cosa . cosb + sina . sinb
cos(π - A) = cosπcosA + sinAsinπ
= (−1)(cosA) + (sinA)(0)
= −1.cosA + (sinA)(0)
= −cosA + 0
= −cosA
Since, in the step 1 the formula is wrongly used,
Therefore, step 1 is error made.
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What is the standard form of 2x2x2x2x2?
Answer:
The standard enthalpy of formation is the energy that would be involved if one mole of the substance were to be formed from its elements that were at standard conditions of temperature and pressure which are 25 degrees C and one atm pressure.
Step-by-step explanation:
The standard form of the given expression 2 × 2 × 2 × 2 × 2 is 2⁵.
The expression is given as follows:
2 × 2 × 2 × 2 × 2
When simplifying repeated multiplication of the same number, we use exponents as a concise representation.
The exponent denotes how many times the base is multiplied by itself. In this case, 2 is multiplied five times (2 × 2 × 2 × 2 × 2).
So, it is equal to 2⁵.
In this form, the base (2) is raised to the power of the number of times it is multiplied (5).
Thus, the standard form of 2 × 2 × 2 × 2 × 2 is 2⁵.
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julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?
The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.
Explanation
On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
To find the probability, you can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)
Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%
So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.
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Can someone help me with this? My teacher said its a must in the homework and i cant find a solution.
Answer:
\(8x^3+28x^2-16x\)
Step-by-step explanation:
Volume of rectangular prism: \(l*b*h\) (l = length, b = breadth, h = height.)
Volume of rectangular prism:
\((x+4)*(2x-1)*4x\)
\(4x\left(x+4\right)\left(2x-1\right)\)
Expand the two brackets using FOIL:
\(4x(x* \:2x+x\left(-1\right)+4* \:2x+4\left(-1\right))\)
\(4x\left(2x^2+7x-4\right)\)
Expand:
\(4x* \:2x^2+4x* \:7x+4x\left(-4\right)\)
\(8x^3+28x^2-16x\)
What does it mean for a sample to have a standar deviation of zero? describe the scores in such a sample
Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula
Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.
Variance = Summation n to i = 1 \(\frac{(X_{1-X} )^2}{n-1}\)
0 = Summation n to i = 1\(\frac{(X_{1-X} )^2}{n-1}\)
Summation n to i \({(X_{1-X} )^2\) = 0
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1. In the figure ac is a diameter of a circle. Which represents a major arc. A. Ac B.Abc c. Adc d. Adc
What is a characteristic of all cubic functions? (Pictures included)
Answer:
I believe it's A: They are always increasing.
Step-by-step explanation:
The cubic function is one where the coefficient a, b, c, and d are correlational the variable are real numbers and are polynomial numbers. The function is either one or three real roots. The graph of the function is a cubic curve.
The example of a cubic function is that of the forms of y = ax3 + bx2 + cx + d, where the a, b, c, and d are constants. The cube root function is inverse to the cube function.Hence they are increasing option A is correct.
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does anyone know what -11<7-6w
Answer:
w < 3
Step-by-step explanation:
I dont know what you're really asking so this is my answer for you :)
At the assembly line, Joe is able to pack 150 boxes of books in one hour. At this rate, how many complete boxes can Joe pack per minute?
joe be going sicko mode, he finna pack 5/2
they want complete so I'd go with 2 boxes
Answer:
2
Step-by-step explanation:
If he can pack 150 per hour and there are 60 minutes in an hour, then to find the boxes per minute, you must divide 150 by 60. That gets 2.5, and the question said complete boxes so 2.
If you make a long piece of board by gluing 2 boards together. One board is 1 point
1 foot 8 inches long and the other board is 3 feet 3 inches long. What is the
total length of the boards glued together? *
Answer:
4 feet 11 inches
Step-by-step explanation:
1 foot +3 feet is 4 feet. 8inches + 3 inches = 11 inches.
fociaral and state governmenta? A. \( \$ 268,10 \) B. \( \$ 14155 \) c. \( \$ 255.54 \) b. \( \$ 11400 \)
Answer:
Step-by-step explanation:
A. $268,10 B. $14155 c. $255.54 b. $11400. fociaral and state governmenta? ... record payroll tax expense and pay to the federal and state governments :.
1 answer
·
Top answer:
Amount of state and federal unemployment tax that the employer must record payroll tax expense and pay to the federal and state governments : According ...
Missing:255.54
Solve a/-6 + 8 = 12. a =
Answer:
a = -24
Step-by-step explanation:
\(\frac{a}{-6}+8 = 12 \\\\\frac{a}{-6} = 12 - 8 \\\\\frac{a}{-6}= 4\\\\a = 4*(-6)\\\\a = -24\)
Answer:
-24
Step-by-step explanation:
a/-6 + 8 = 12
a/-6 = 12 - 8
a/-6 = 4
cross multiply,
a = -6 × 4
a = -24
hope you understood
Secants ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. The measures of ⏜ and ⏜ are 112.54° and 26.32°, respectively.
Which of the following is ∠ ?
Answer:
C. 43.11°
Step-by-step explanation:
The formula to use in finding m<BCD = ½ the difference of the intercepted arcs AE and BD
Thus:
m<BCD = ½(AE - BD)
m<BCD = ½(112.54 - 26.32)
m<BCD = ½(86.22)
m<BCD = 43.11°
Directions: Using the digits 1 - 9 at most one time each, fill in the boxes to make each expression evaluate as a perfect square number. Example: 16 = 4 * 4 also equals 8 * 2.
The missing number in the boxes using the concept of perfect square are;
1) 4
2) 7 and 2
3) 4
4) 3 and 9
5) 3
How to interpret perfect squares?A perfect square is defined as a number that is the square of a whole number. For example, 36 is a perfect square being the square of 6. Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, e.t.c
1st box: We see it as;
___ * 2 * 2
Using the concept of perfect squares and the pattern given, we can say that the missing number is 4
2nd box: 14 * __ * ___
Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 7 and 2
3rd box: 2 * 8 * ___
Using the concept of perfect squares and the pattern given, we can say that the missing number is 4
4th box: __ * 3 * _____
Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 3 and 9
5th: 3 * ____
Using the concept of perfect squares and the pattern given, we can say that the missing number is 3
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It is appropriate to use the uniform distribution to describe a continuous random variable x whena. the shape of the histogram of all possible values of x is nonsymmetrical.b. the area under the probability curve = 1.c. relative frequencies of all possible values of x are about the same.d. the probability curve f(x) > 0.
For an appropriate use the uniform distribution is to describe a continuous random variable x when relative frequencies of all possible values of x are about the same. So, option(d) is right one.
The uniform distribution is a distribution in which all values are equal. The interval [a,b] of a continuous variable X is said to be divided into one or four parts, meaning that all values in the distribution are equal or equal. If the probability density function equals f(x) = 1/(b−a), x∈[a,b] and is 0 elsewhere, we write X∼U(a,b). A curve is "uniform" when all events have the same probability. That is all occurrences of events have the same frequency. Accordingly, the correct answer is option (c).
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a - twenty three = thirty two
Answer:
55 or fifty five
Step-by-step explanation:
a - 23 = 32
a = 55