Answer:
B
Step-by-step explanation:
The negative cancled out leaving the 3 postive.
what is 12 divided by 4,920
Answer:
0.00243902439
Step-by-step explanation:
calculator
4-3x=8-4x please help
Answer : #1= Answer:x=−4
#2=Answer:x=7
f(x) = x^2 - 4x + 3 f(x) = 1/2x + p The system of equations above, when graphed in the xy-coordinate plane, intersects at the point (4, q). What is p?
Answer:
p = 1
Step-by-step explanation:
Given that the system intersect at (4, q) then this point satisfies both equations, that is
q = 4² - 4(4) + 3
q = \(\frac{1}{2}\) (4) + p
Equating both gives
16 - 16 + 3 = 2 + p, that is
3 = 2 + p ( subtract 2 from both sides )
p = 1
the reciproal of -5 3/1 is ?
The reciprocal of a number refers to the inverse.
In this case, first, we transform -5 3/1 into a fraction.
\(-5\frac{3}{1}=-\frac{5\cdot1+3}{1}=-8\)As you can observe, the number is -8, its reciprocal would be its inverse number.
\(-\frac{1}{8}\)Hence, the answer is -1/8.the weights of oranges growing in an orchard are normally distributed with a mean weight of 8 oz. and a standard deviation of 2 oz. from a batch of 1400 oranges, how many would be expected to weigh more than 4 oz. to the nearest whole number? 1) 970 2) 32 3) 1368 4) 1295
The number of oranges that are expected to weigh more than 4 oz is:
1400 - (1400 × 0.0228)≈ 1368.
The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.
From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.
\(z = (x - μ) / σ\)
Wherez is the Z-score of the given data point x is the data point
μ is the mean weight of the oranges
σ is the standard deviation
Now, let's plug in the given values.
\(z = (4 - 8) / 2= -2\)
The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.
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Which panda was heavier when born
Answer: The one on the left.
Step-by-step explanation:
There is no file, but the panda on the left is bigger.
ASAP!!!!!!!!!
SAT scores are normally distributed with a mean of
500 and a standard deviation of 60. Find the z-score
of an SAT score of 380.
Answer:
the z-score for the sat score of 380 is 2
Step-by-step explanation:
the way i got this is you got to take the standard deviation value and subtract it from the mean since the value 380 is less than 500.
500-60=440-60=380
so the answer would be a z-score of 2
I need help with this question... the correct answer choice
The transformation on a line such that a line is obtained which is pependicular to previous line is possible only when it is reflected through y = x axis. This can be understood as,
When line is reflected about x-axis, the x coordinate remain same where as y-coordinate changes in opposite sign with same magnitude. So reflection of line x = 3 about x axis remain same.
Simillarly reflection of line x = 3 about x = 1 remain same as x = 3.
The reflection of line x = 3 about y-axis results n a parallel line passing through x = -3.
So answer is reflection across y = x.
find the area of a semi circle when the radius is 10cm.
give the answer in term of pi
Answer:
A = 50π cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle: A = πr²
r is radiusStep-by-step explanation:
*Note: A semicircle is half a full circle.
Step 1: Define
Radius r = 10 cm
Step 2: Solve for A
Rewrite Area of Circle Formula: A = 0.5πr²Substitute in r [Area of Semicircle Formula]: A = 0.5π(10 cm)²[Area] Evaluate exponents: A = 0.5π(100 cm²)[Area] Multiply: A = 50π cm²Suppose there are two stocks and two possible states. The first state happens with 85% probability and second state happens with 15% probability. In outcome 1, stock A has 1% return and stock B has 12% return. In outcome 2, stock A has 80% return and stock B has -10% return. What is the covariance of their returns? What is the correlation of their returns?
The covariance of their returns is approximately 0.0149601.
To calculate the covariance of the returns of two stocks, we need to multiply the difference between each pair of corresponding returns by the probability of each state, and then sum up these products. The formula for covariance is as follows:
Covariance = (Return_A1 - Mean_Return_A) * (Return_B1 - Mean_Return_B) * Probability_1
+ (Return_A2 - Mean_Return_A) * (Return_B2 - Mean_Return_B) * Probability_2
Where:
- Return_A1 and Return_A2 are the returns of stock A in state 1 and state 2, respectively.
- Return_B1 and Return_B2 are the returns of stock B in state 1 and state 2, respectively.
- Mean_Return_A and Mean_Return_B are the mean returns of stock A and stock B, respectively.
- Probability_1 and Probability_2 are the probabilities of state 1 and state 2, respectively.
Let's calculate the covariance:
Return_A1 = 1%
Return_A2 = 80%
Return_B1 = 12%
Return_B2 = -10%
Probability_1 = 0.85
Probability_2 = 0.15
Mean_Return_A = (Return_A1 * Probability_1) + (Return_A2 * Probability_2)
= (0.01 * 0.85) + (0.8 * 0.15)
= 0.0085 + 0.12
= 0.1285
Mean_Return_B = (Return_B1 * Probability_1) + (Return_B2 * Probability_2)
= (0.12 * 0.85) + (-0.1 * 0.15)
= 0.102 - 0.015
= 0.087
Covariance = (Return_A1 - Mean_Return_A) * (Return_B1 - Mean_Return_B) * Probability_1
+ (Return_A2 - Mean_Return_A) * (Return_B2 - Mean_Return_B) * Probability_2
= (0.01 - 0.1285) * (0.12 - 0.087) * 0.85
+ (0.8 - 0.1285) * (-0.1 - 0.087) * 0.15
= (-0.1185) * (0.033) * 0.85
+ (0.6715) * (-0.187) * 0.15
= -0.00489825 + 0.01985835
= 0.0149601
To calculate the correlation of their returns, we divide the covariance by the product of the standard deviations of the returns of each stock. The formula for correlation is as follows:
Correlation = Covariance / (Standard_Deviation_A * Standard_Deviation_B)
Let's assume the standard deviations of the returns for stock A and stock B are known. If we use σ_A for the standard deviation of stock A and σ_B for the standard deviation of stock B, we can substitute these values into the formula to calculate the correlation. However, if you provide the standard deviations, I can provide a more accurate calculation.
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Can someone please help me! Do not input spaces. Remember an equation has an equal sign.
Answer:
5) -1-3=-4 or -1+-3=-4
6) -4+3=-1
Step-by-step explanation:
Joe started 125 miles in 5 hours. How many miles would travel in 1 hour
Answer:
Hope this helps :D
Step-by-step explanation:
Explanation on picture
Midpoint Between Two Given Points Find the midpoint of the line segment with the endpoints (5, 6) and (-5, -2). Midpoint = (
The midpoint of the line segment with the endpoints (5, 6) and (-5, -2) is (0, 2).Hence, the answer is: Midpoint = (0, 2).
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is calculated using the formula:M = [(x1 + x2) / 2, (y1 + y2) / 2]where M is the midpoint.In the given problem, the endpoints are (5, 6) and (-5, -2).
So, we can find the midpoint by applying the formula mentioned above.Midpoint = [(5 + (-5)) / 2, (6 + (-2)) / 2]= [0/2, 4/2]= [0, 2]
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The father is 37 years old and his son's age is 5 years.After how many years,the father's age will be five times that of his son?
Answer:Let the age of son be x.
Thus, age of father is 4x.
After 5 years, their ages will be x+5 and 4x+5 years respectively.
As per the question, we have
4x+5=3(x+5)
⇒4x+5=3x+15
⇒x=10
Age of father will be 4x=4×10=40 years.
Thus when son is 10 years old, father is 40 years.
Step-by-step explanation:
After 3 years father's age will be five times that of his son. Father age will be 40 years and son age will be 8 years .
Given,
Present age of father = 37 years.
Present age of son = 5 years.
Now,
Let the number of years be x after which the fathers age will be 5 times the age of his son.
So,
Ages after 3 years ,
Age of father = 40 years
Age of son = 8 years.
Thus age of father is 5 times the age of son.
Therefore after 3 years father's age will be five times that of his son.
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Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results a = 10
b = 13.6 A = 33°
From the calculation, all three inequalities are satisfied, which means that the given measurements produce one triangle.
To determine whether the given measurements produce one triangle, two triangles, or no triangle at all, we can use the Law of Sines and the Triangle Inequality Theorem.
Given:
a = 10
b = 13.6
A = 33°
Determine angle B:
Angle B can be found using the equation: B = 180° - A - C, where C is the remaining angle of the triangle.
B = 180° - 33° - C
B = 147° - C
Apply the Law of Sines:
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
a/sin(A) = b/sin(B) = c/sin(C)
We can rearrange the equation to solve for side c:
c = (a * sin(C)) / sin(A)
Substituting the given values:
c = (10 * sin(C)) / sin(33°)
Determine angle C:
We can use the equation: C = arcsin((c * sin(A)) / a)
C = arcsin((c * sin(33°)) / 10)
Apply the Triangle Inequality Theorem:
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
In this case, we need to check if a + b > c, b + c > a, and c + a > b.
If all three inequalities are satisfied, it means that the measurements produce one triangle. If one of the inequalities is not satisfied, it means no triangle can be formed.
Now, let's perform the calculations:
B = 147° - C (from step 1)
c = (10 * sin(C)) / sin(33°) (from step 2)
C = arcsin((c * sin(33°)) / 10) (from step 3)
Using a calculator, we find that C ≈ 34.65° and c ≈ 6.16.
Now, let's check the Triangle Inequality Theorem:
a + b > c:
10 + 13.6 > 6.16
23.6 > 6.16 (True)
b + c > a:
13.6 + 6.16 > 10
19.76 > 10 (True)
c + a > b:
6.16 + 10 > 13.6
16.16 > 13.6 (True)
All three inequalities are satisfied, which means that the given measurements produce one triangle.
In summary, with the given measurements of a = 10, b = 13.6, and A = 33°, we can determine that one triangle can be formed. The measures of the angles are approximately A = 33°, B ≈ 147° - C, and C ≈ 34.65°, and the lengths of the sides are approximately a = 10, b = 13.6, and c ≈ 6.16.
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A = [-2 2]
[-1 3]
B = [2 4]
[3 1]
[1 1]
For the matrices A and B given, find BA if possible. a. [-4 8]
[-3 3]
[ 1 1] b. [-6 14]
[-7 12]
[-3 5]
c. [-8 16]
[-7 9]
[-3 5]
d. Not possible.
The product of matrices B and A, denoted as BA, is not possible. Therefore, the correct answer is option d: Not possible. To multiply two matrices, their dimensions must be compatible.
1. For matrix B with dimensions 3x2 and matrix A with dimensions 2x2, the number of columns in matrix B must match the number of rows in matrix A for the multiplication to be valid.
2. In this case, matrix B has 2 columns, and matrix A has 2 rows, which satisfies the condition for matrix multiplication. However, the product of B and A would result in a matrix with dimensions 3x2, which does not match the dimensions of matrix B.
3. Hence, BA is not possible, and the answer is option d: Not possible.
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20. Kim works on commission. If her monthly earnings for the first
four months of the year were $1625, $960, $1235, and $1420,
estimate what her annual earnings will be.
A) $14,240 B) $15,390 C) $15,720 D) $16,150 E) $16,280
O A
OB
OC
OD
ΟΕ
Since, Kim works on commission and her trend of monthly earnings are not constant, Calculate the average from the data and estimate for the whole year , The answer is C) $15,720
What is statistics?Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It helps to make sense of large amount of data and use it to draw conclusions and make informed decisions. It provides methods to summarize, describe and analyze data, as well as techniques to infer characteristics of a population from a sample.
What is mean of the data?The mean is a measure of central tendency and a way to describe the average value of a dataset. It is calculated by adding up all the values in a dataset and then dividing by the number of values. The resulting value is the mean of the dataset, also known as the arithmetic average. Mean is commonly used to describe a large data set, while median is used to describe data with values have outliers.
salary for four months = $1625, $960, $1235, and $1420.
Average = ($1625 + $960+ $1235+$1420) /4 = $1310
for whole year = $1310 * 12 = $15,720
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John rode his dirt bike 45 miles in two hours. At this rate, how many miles will he travel in 1/2 an hour?
Answer:
11.25 miles
Step-by-step explanation:
To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:
distance = rate x time
We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:
rate = distance / time
rate = 45 miles / 2 hours
rate = 22.5 miles per hour
Now we can use this rate and the given time of 1/2 an hour to find the distance:
distance = rate x time
distance = 22.5 miles per hour x 1/2 hour
distance = 11.25 miles
Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.
Homework help please
Answer:
Step-by-step explanation:
180
Simplify (step by steps, thanks!)
The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).
To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.
Let's start with the first fraction's denominator:
x² + x - 6
We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:
x² + x - 6 = (x + 3)(x - 2)
Now let's factor the second fraction's denominator:
x² - 6x + 8
We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:
x² - 6x + 8 = (x - 2)(x - 4)
Now we can rewrite the original expression with a common denominator:
(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))
Next, we can simplify the numerator:
(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
Finally, we can't simplify this expression any further. Therefore, the simplified expression is:
(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))
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jason paused on step 189 on his way to the top of the statue of liberty. if there were 354 steps in all, how many more steps did jason have to climb?
Jason needs to climb = 165 steps
Statue of Liberty is famous for ?One of the most recognizable people in the entire globe, it is a symbol and a national treasure. The trek to see her history and magnificence in person is made by millions of people every year who value her principles.
As a representation of liberation, inspiration, and optimism, she is the Statue of Liberty.
Jason needs to climb = 354 - 189 = 165 steps
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What would be the range of possible whole number values (x) for a 3rd side of the triangle with two sides of 5 in. and 8 in.?
Answer:
ano pon sabi ng teacher nyo
Step-by-step explanation:
kasi wla nmn explanation
what’s the perimeter
Answer:
the answer is 10
Step-by-step explanation:
the other shape is half of all the degreed of the first one
Answer: 10
Step-by-step explanation:
AB: 3.0/2 = 1.5 = EF
BC: 5.0/2 = 2.5 = FG
CD: 4.0/2 = 2.0 = GH
DA: 8.0/2 = 4.0 = EH
1.5+2.5+2.0+4.0 = 10
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
\( \dfrac{2x}{x + 7} \)
Step-by-step explanation:
\( \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = \)
Factor the numerator and denominator.
\(= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}\)
\(= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}\)
\( = \dfrac{2x}{x + 7} \)
You buy five books that are equal in
price for $17.50 and a DVD for $8.
Your total comes to $25.50.
Determine the cost of one book.
#12
Answer:
$3.50
Step-by-step explanation:
$17.50/5 = $3.50. This means the cost of one book is $3.50.
4 23/46 rounded to the nearest whole number
Given:
\(4\frac{23}{46}\)To round to the nearest whole number, first convert the fraction to decimal.
\(4\frac{23}{46}\text{ = }4\frac{1}{2}\text{ = 4.5}\)Since the tenth digit "5" is greater or equal to 5, the ones digit "4" increases by 1.
Thus, 4.5 ==> 5
ANSWER:
5
Consider the function f(x)={ 4
x
if x<4
if x≥4
Evaluate the definite integral ∫ −3
6
f(x)dx
Therefore, the definite integral of f(x) over the given limits is ∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx= 50 + 8= 58
Hence, the required answer is 58.
We are given a piecewise function and are asked to evaluate its definite integral. The function is defined as:f(x) = {4x if x < 4, if x ≥ 4We need to find the integral of this function over the given limits. Let's evaluate the integral:
∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx
Now, we will evaluate the two integrals one by one:
∫-3 4 f(x) dx = ∫-3 4 4x dx [∵ f(x) = 4x for x < 4]
∫-3 4 f(x) dx = [2x²] from -3 to 4= [2(4)²] - [2(-3)²]∫-3 4 f(x) dx = 32 + 18= 50
Now, let's evaluate the second integral:
∫4 6 f(x) dx = ∫4 6 4 dx [∵ f(x) = 4 for x ≥ 4]∫4 6 f(x) dx = [4x] from 4 to 6= (6 x 4) - (4 x 4)∫4 6 f(x) dx = 8Therefore, the definite integral of f(x) over the given limits is:
∫-3 6 f(x) dx = ∫-3 4 f(x) dx + ∫4 6 f(x) dx= 50 + 8= 58
Hence, the required answer is 58.
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Write an equation of the line in point slope form (y - y) = m(x - X1) given that the slope is 6 and the line passes through (5, 7). Then convert it to slope-
intercept form.
Point-Slope Form:
Slope-Intercept Form:
Answer:
x1 = -4
y1 = 2
x2 = 0
y2 = 3
m = (y2 - y1) / (x2 - x1)
Plug in the numbers and evaluate m, then either of the 2 equations below represents the line in point slope form:
y - y1 = m(x - x1)
y - y2 = m(x - x2)
Plug in the numbers. The slope intercept form is
y = mx + b
b = 3 (given)
m = result from earlier step
You convert to standard from and finish from here.
ILL GIVE 15 BRAINSLY PLSS
27) An equation for the line graphed is
A) y = 3/2x + 3
B) y= 1/2x +3
C)y= -3/2x +3
D)y=-1/2x+3
The equation of line which is graphed below is \(y = \frac{3}{2} x+3\).
What is the equation of line in slope intercept form?The equation of line in the form of \(y = mx + b\) is called slope intercept form of a line.
How to find the equation line from two points?Equation of line from two points is given by
\((y-y_{1} ) = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } (x-x_{1})\)
According to the given question
We have
A graph of line.
Since, line is passing through the points (-2, 0) and (0, 3)
Therefore, the equation of line through these points is given by
\((y-0) = \frac{3-0}{0-(-2)} (x-(-2))\)
⇒\(y = \frac{3}{2}(x+2)\)
⇒\(y = \frac{3}{2}x+3\)
Hence, the equation of line which is graphed below is \(y = \frac{3}{2} x+3\).
Thus, option A is correct.
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Two angles are linear pair. If one angle measures 4x +3 and the other angle measures 2x + 21, find the measure of each angle.
Answer:
Step-by-step explanation:
4x + 3 + 2x + 21 = 180
6x + 24 = 180
6x = 156
x = 26
4(26) + 3 = 107
2(26) + 21 = 73