Answer:
the answer is ↓
\(\frac{12}{5} \)
A college professor noted that the grades of his students in an introductory statistics class were normally distributed with a mean of 54.50 and a standard deviation of 9. If 67.66% of his students received grades of C or above, what is the minimum score of those students receiving a grade of at least a C
Students who receive a grade of at least a C must have a minimum score of 50.38.
Calculation of the minimum scoreWe may assume that the cut-off will be below 67.66 % because that percentage is more than 50%.
To get the value of 67.66 - 50 = 17.66, we must search in a regular normal table.
Hence, A z value of 0.458 will cause that value to occur.
Next, increase the standard deviation of 9 by 0.458.
The result is 4.122.
This indicates that the threshold for a student earning a C or higher is the mean minus 4.122.
So, the final result is 54.50-4.122 = 50.38.
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5^-1 = blank * 5^4 find the missing factor
Answer:
1/3125 or, 5^-5
Step-by-step explanation:
5^-1 = blank * 5^4
1/5/625= blank or, 5^-1/5^4=blank
blank=1/3125 5^-5=blank
Help 6th grade math i will give brainliest
Answer:
3/5, 0.6, and 60%
Step-by-step explanation:
Answer:
3/5, 60%, 0.60
Step-by-step explanation:
3 ÷ 5 = 0.60
0.60 is 60% (0.60 x 100)
60% = 60%
Partial Derivative Applications, Vectors and Matrices
If z = F(u, v, w) where u = r 2 , v = −2s 2 , and w = lnr + lns,
find ∂z/∂r and ∂z/∂s.
The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.
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Insert < >, or= to make the following sentence true.
Answer:
it would be “>”, 100% guaranteed.
Answer:
answer is >
Step-by-step explanation:
hope this is helpful
Unit #4 - Lesson # 8 Exit Ticket: The seventh-grade class had 74 students in it last year. This
increase in the number of seventh grade students from last year to this year? Show all calculations.
year, the seventh-grade class has 86 students in it. To the nearest tenth, what was the percent
Unit #4
on til
Answer:
Answer:
Hope it helps!
Step-by-step explanation:
Last year there were 74 students in the seventh grade class. This year there are 86 students in the seventh grade class.
Increase = 86 - 74 = 12
Percent Increase = (12/74) x 100 = 16.2%
Help ASAP ILL GIVE 10 POITNS TO ANYONE THAT WILL HELP
Suppose that the functions fand g are defined as follows. 9 x+2 f(x)= (4) () = 0 g g(x) f Domain of :0 g 7 == f Find Then, give its domain using an interval or union of inte g Simplify your answers. X
The expression f/g represents the quotient of the functions f(x) = 9/(x + 2) and g(x) = 7/x. So, f/g (x) = (9x) / (7(x + 2)). The domain of f/g is (-∞, -2) ∪ (-2, +∞), excluding x = -2 to avoid division by zero.
To find f/g, we need to divide the function f(x) by the function g(x).
Given:
f(x) = 9/(x + 2)
g(x) = 7/x
f/g = (9/(x + 2)) / (7/x)
To simplify the expression, we can multiply the numerator and denominator by the reciprocal of the denominator:
f/g = (9/(x + 2)) * (x/7)
f/g = (9x) / (7(x + 2))
Now, let's find the domain of f/g.
The domain of f/g is determined by the restrictions on the variable x that make the expression valid.
The value of x should not cause division by zero in the numerator or violate any restrictions of the original functions f(x) and g(x). The denominator should not be zero: (x + 2) ≠ 0, which means x ≠ -2.
Therefore, the domain of f/g is the set of all real numbers except x = -2. In interval notation, the domain of f/g is (-∞, -2) ∪ (-2, +∞).
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The given question is incomplete, the correct question is,
Suppose that the functions f and g are defined as follows. f(x) = 9/(x + 2) g(x) = 7/x find f/g. Find the domain of f/g using an interval or union of intervals. Simplify your answers.
Write the next 3 terms in the sequence.
108, -432, 1728, -6912, ...
Answer:
27,648
-110,592
442,368
Step-by-step explanation:
each term is multiplied by -4
Find the total income produced by a continuous income stream in the first 2 years if the rate of flow is given by the following function, where t is time in years.
f(t)=300e^0.05t
(Round to the nearest dollar as needed.)
Therefore, the total income produced by the continuous income stream in the first 2 years is approximately $6631.
To find the total income produced by a continuous income stream in the first 2 years, we need to calculate the definite integral of the income function over the time interval [0, 2].
The income function is given by f(t) = 300e^(0.05t).
To calculate the definite integral, we integrate the function with respect to t and evaluate it at the limits of integration:
∫[0, 2] 300e^(0.05t) dt
Integrating the function, we have:
= [300/0.05 * e^(0.05t)] evaluated from 0 to 2
= [6000e^(0.052) - 6000e^(0.050)]
Simplifying further:
= [6000e^(0.1) - 6000]
Evaluating e^(0.1) ≈ 1.10517 and rounding to the nearest dollar:
= 6000 * 1.10517 - 6000 ≈ $6631
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Consider the function f x =x 2 − 4x. If x=3 is a value in the domain of the function, then what is the value of f x when x=3?
Answer:
f(x) = -3
Step-by-step explanation:
\({ \tt{f(x) = {x}^{2} - 4x}}\)
- When x = 3, it implies that f(x) = f(3)
\({ \tt{f(3) = {(3)}^{2} - 4(3) }} \\ { \tt{f(3) = 9 - 12}} \: \: \: \: \: \: \: \\ { \tt{f(3) = - 3}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
- So, the range, f(x) = -3
Answer: correct aswer is -3
Step-by-step explanation:
Please Help! 15 Points. Which of the following properties were used to rewrite the expression (8u)v+9w as 9w+8(uv)? There are two correct answers. A. Commutative Property of Addition B. Commutative Property of Multiplication C. Associative Property of Addition D. Associative Property of Multiplication
Answer:
A. Commutative Property of Addition D. Associative Property of MultiplicationStep-by-step explanation:
The commutative property lets you swap the order of operands. Here, the operands for addition, (8uv) and (9w), are interchanged. The Commutative Property of Addition lets you do that.
__
The associative property lets you group operands differently. Here, the operands in the product 8uv are changed from the grouping (8u)v to the grouping 8(uv). The Associative Property of Multiplication lets you do that.
Answers:
A. Commutative Property of Addition &D. Associative Property of MultiplicationStep-by-step explanation:
Now let's see why these are the correct answers:
___________________________________________________________
Commutative Property of Addition states that changing the order of the addends will not affect the sum. For example 5 + 4 and 4 + 5 are both 9.
Here, this is a correct answer because 9w is moved from the end of the equation to the front.
___________________________________________________________
Commutative Property of Multiplication states that changing the order of multiplicands does not change the product. For example 5 x 2 and 2 x 5 both equal 10.
Here, this is not a correct answer because the multiplicands are associated differently in the parentheses.
___________________________________________________________
Associative Property of Addition states that the way in which addends are grouped within parentheses doesn't change the sum. For example (2 + 3) + 4 or 2 + (3 + 4) both equal 9.
Here, this is not a correct answer because the addends are not in parentheses, which is the only time this property applies.
___________________________________________________________
Associative Property of Multiplication states that the way in which multiplicands are grouped within parentheses does not affect the product. For example 2 x (2 x 2) and (2 x 2) x 2 both equal 8.
Here, this is a correct answer because the multiplicands are within parentheses and are regrouped in the second equation, the (8u)v having been regrouped as 8(uv).
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)help help help pls :)
Answer:
\(opposite\approx 70.02\)
Step-by-step explanation:
The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;
\(sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\)
Please note that the names (\(opposite\)) and (\(adjacent\)) are subjective and change depending on the angle one uses in the ratio. However the name (\(hypotenuse\)) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.
In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (\(tan\)) ratio.
\(tan(\theta)=\frac{opposite}{adjacent}\)
Substitute,
\(tan(35)=\frac{opposite}{100}\)
Inverse operations,
\(tan(35)=\frac{opposite}{100}\)
\(100(tan(35))=opposite\)
Simplify,
\(100(tan(35))=opposite\)
\(70.02\approx opposite\)
What is the formula for solving a triangle?
The law of cosines generalizes the Pythagorean formula to all triangles. It says that c^2, the square of one side of the triangle, is equal to a^2 + b^2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.
c^2=a^2 + b^2 - 2abcosC
Pythagorean formula
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
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A turning riddle what is the best way to eat soup?
The best way to eat soup is to use a spoon and tilt the bowl away from you, scooping the soup from the side of the bowl.
Eating soup is a common and comforting experience, but it can also be messy and awkward. Using a spoon is the most practical way to eat soup, as it allows you to scoop up the liquid without burning your mouth. When using a spoon, it's best to tilt the bowl away from you so that the soup collects on one side of the bowl, making it easier to scoop up. This also helps to prevent spills and splatters, which can be especially important if the soup is hot or if you're wearing nice clothes.
Additionally, it's best to scoop the soup from the side of the bowl rather than the center, as this can prevent the spoon from dipping too far into the soup and splashing it back out. It also allows you to avoid any floating ingredients that may be sitting in the center of the bowl. By tilting the bowl away from you and scooping from the side, you can enjoy your soup in a comfortable and clean way. So, the next time you're enjoying a delicious bowl of soup, remember to use a spoon and tilt the bowl away from you for the best eating experience.
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1. A fence company sells wooden and metal fences. Let x represents the number of wooden fences they sell and let y represent the number of metal fences. They make a profit of $340 for each wooden fence and $290 for each metal fence. Write an objective function that could be used to determine how many of each to make in order to maximize profit.p =
x represents the number of wooden fences
and
y represents the number of metal fences
The profit for each wooden fence is 340
The profit for each metal fence is 290
The function for total profit will be :
p = 340x + 290y
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x
Answer:
The answer is h(x)=(1/4)x
Step-by-step explanation:
The table shows a bakery’s sales of sugar cookies and chocolate chip cookies sold in h hours.
The bakery earn $81.65 more in sales of chocolate chips than sugar in 15 hours
How to calculate how much more the bakery earn in salesFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where the total amount of sales are
Sugar = 1.15 * (6h - 5)
Chocolate chips = 1.15 * (10h + 6)
In 15 hours, we have
h = 15
This means that
Sugar = 1.15 * (6 * 15 - 5) = 97.75
Chocolate chips = 1.15 * (10 * 15 + 6) = 179.4
The difference is calculated as
Difference = 179.4 - 97.75
Difference = 81.65
Hence, the bakery earn $81.65 more in sales of chocolate chips than sugar in 15 hours
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if a square has an area of 100 square feet. what is its side
Answer:10
Step-by-step explanation:
Solve the system by substitution.
Y = 10x
7x + 3y =
37
Answer:
x=1 , y=10
Step-by-step explanation:
i attached photo of steps of solution
anybody know the answer to this?
help in don’t know what to do
Answer:
slope 4
y intercept 0, 4
Step-by-step explanation:
Answer:
Slope: -1
y-intercept: (0, 9)
Step-by-step explanation:
The slope is -1 because -1x is the same as -x and the slope is the number before x. The y-intercept is (0, 9) because the y-intercept is what y is when x is 0 so y = -1(0) + 9 which equals 9.
a morning​ consult/politico poll of registered voters in july 2020 asked a standard polling question of whether the united states was headed in the​ right direction or was on the​ wrong track. ​% said that things are on the wrong track vs. ​% who said​ right direction. complete parts a and b.a) Calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence. ME= 0.019 (Round to three decimal places as needed.) b) Explain what this margin of error means. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) A. The probability that any given adult surveyed from the sample responded "Wrong Track" is____. B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within___of the population proportion.C. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within_____of the sample proportion.D. The probability that any given adult surveyed from the population will respond "Wrong Track" is_____.
a) Margine of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence is 0.019.
b) Correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.
How to calculate the margin of error and assess the correct option?a) To calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence, we can use the following formula:
ME = z√((p(1-p))/n)
Where:
z = the z-score associated with the desired level of confidence (in this case, 1.96 for 95% confidence)
p = the proportion of adults in the sample who said things are on the wrong track
n = the sample size
Using the percentages provided in the question, we can calculate the sample proportion:
p = % of adults who said things are on the wrong track / 100
p = % / 100 = %
So, p =
We don't have the sample size, but we can assume it's large enough (at least 30) to use the normal distribution approximation. Therefore, we can use the percentages directly to calculate the margin of error:
ME = 1.96√((0.490.51)/n)
ME = 1.96√(0.2499/n)
ME = 1.96(0.499/n¹/²)
ME = 0.019
Hence the margine of error is 0.019.
b) The margin of error means that if we were to conduct the same survey many times and calculate a 95% confidence interval for the proportion of all U.S. adults who think things are on the wrong track using each sample, we would expect the true population proportion to be within ±0.019 of the sample proportion in 95% of the intervals.
Therefore, the correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.
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Guys I need help: In which set of ordered pairs, ( x , y ) , is y NOT a function of x? A. { ( 6 , 6 ) , ( 1 , 1 ) , ( 4 , 4 ) } B. { ( 1 , 4 ) , ( 6 , 4 ) } C. { ( 6 , 1 ) , ( 1 , 6 ) , ( 1 , 4 ) } D. { ( 1 , 4 ) , ( 4 , 1 ) }
Answer:
A
Step-by-step explanation:
Is 10h - 10 equal to10 - 10h
Answer:no
Step-by-step explanation:
it’s equal to -10 + 10h by the commutativity of addition and subtraction
Which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 + 2x) 1 = 2x2 + 4x 2 = 2(x2 + 2x + 1) 3 = 2(x + 1)2 2 = 2(x + 1)2
Answer: 1 2 and 4 hope this helps
Step-by-step explanation:
Answer:
yes, the correct answers are:
A) 1 = 2(x2 + 2x)
B) 1 = 2x2 + 4x
D) 3 = 2(x + 1)2
Step-by-step explanation:
got it correct in edg 2020 hope this is of help :)
5x + 12 = 37
a.) x = 3
b.) x = 5
c.) x = 7
d.) x = 4
please help me
Answer:
5
Step-by-step explanation:
5*5=25
25+12 = 37
Answer: B.) x = 5
5x + 12 = 37
5x=37-12
5x=25
5x/5 = 25/5
x=5
the answer is b.) x = 5
hope it helps, mark as brainliest :D
A red candle is 8 inches tall and burns at a rate of 7
10 inch per hour.
A blue candle is 6 inches tall and burns at a rate of 1
5 inch per hour.
After how many hours will both candles be the same height?
After four hours, the height of the candles will be the same.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.
Let x be the number of hours and y be the height.
y = -0.70x + 8 ...1
y = -0.20x + 6 ...2
From equations 1 and 2, then we have
- 0.20x + 6 = - 0.70x + 8
(0.70 - 0.20)x = 8 - 6
0.50x = 2
x = 4 hours
After four hours, the height of the candles will be the same.
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Please help asap. I dont have much time left
Answer:
k well sorry im 7 minutes late but anyways here: 52 and one half.
Step-by-step explanation:
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 411.0 gram setting. it is believed that the machine is underfilling the bags. a 35 bag sample had a mean of 406.0 grams. a level of significance of 0.05 will be used. state the hypotheses. assume the standard deviation is known to be 25.0.
Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.
To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.
Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)
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