For the given confidence interval, the correct statement is Option C. The manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater tanks.
Confidence interval:
Confidence interval refers the mean of your estimate plus and minus the variation in that estimate.
Given,
Here we need to find which of the following correctly interprets the 99% confidence interval for the true mean number of fish in saltwater tanks.
While we looking into the given question,
We know that, it states that 99% confidence interval for the true mean number of fish in saltwater tanks,
Based on these fact the correct statement is the manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater tanks.
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A map has a scale of 1 cm to 12 km.
On a map, the distance between Cardiff and London is 20 cm.
What is the real distance, in km, between Cardiff and London?
Awnser : 240km
Step-by-step explanation:
5 liters of petrol is needed for a motorbike to cover 200km. 1)what is the mileage of the bike. 2)how much petrol is needed to cover 320km.
Answer:
1. mileage of the bike = 40Km
2. petrol needed to cover 320Km = 8L
Which group contains numbers that all round most closely to 1? 1 (1 /5, 2/9, 4/8,)
2 (10/11, 5/6, 7/9,) 3(3/5, 2/4, 4/7,) 4(1/2, 2/7, 9/10,)
The group that contains numbers that all round most closely to 1 is group 2 (10/11, 5/6, 7/9,)
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, it should be noted the group 2 that has 10/11, 5/6, and 7/9 are close to 1.
Therefore, the correct option is B.
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Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
In 2000, there were 47,000 teen births in the United States. In 2015, there were 22,300 teenage births. What is the percent change in the number of teen births between 2000 and 2015?
The required percentage change in the number of teen births between 2000 and 2015 is 52.5%.
Given that,
In 2000, there were 47,000 teen births in the United States. In 2015, there were 22,300 teenage births. The percent change in the number of teen births between 2000 and 2015 is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Number of teens in the year 2000 = 47,000
Number of teens in the year 2015 = 22300
Percentage change = 47000-22300/47000 × 100 = 52.5%
Thus, the required percentage change in the number of teen births between 2000 and 2015 is 52.5%.
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Need help with this math question asap please
Number of sides = 13, sum of Interior angles = 1980°, the measure of one Interior angle = 152.30°, sum of exterior angles = 360°, and the measure of one exterior angle = 27.69°.
A polygon is given in the figure
According to the given question, the required solution would be as:
Number of sides = 13
Interior angles of a polygon = (sides - 2) × 180°
In this case, the number of sides is 13
Sum of Interior angles = (13 - 2) × 180
Sum of Interior angles = (11) × 180
Sum of Interior angles = 1980°
the measure of one Interior angle = 1980°/13
the measure of one Interior angle = 152.30°
The sum of exterior angles is always 360° in the regular polygon.
Sum of exterior angles = 360°
the measure of one exterior angle = 360°/13
the measure of one exterior angle = 27.69°
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On a standardized exam, the scores are normally distributed with a mean of 85 and a standard deviation of 20. Find the z-score of a person who scored 80 on the exam.
-0.25 is the z-score of a person who scored 80 on the exam.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data
Given,
On a standardized exam, the scores are normally distributed
mean is 85 and a standard deviation is 20.
We need to find z-score of a person who scored 80 on the exam.
Z=x-μ/σ
x=80, μ=85 and σ=20
Z=80-85/20
Z=-5/20
Z=-1/4
Z=-0.25
Hence, -0.25 is the z-score of a person who scored 80 on the exam.
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the least-squares solution of a x = b is the vector in the column space of a closest to b. true or false?
The statement that least-squares solution of a x = b is the vector in the column space of a closest to b is; true
How to interpret least square solution of matrix vector?
One method for computing a least-squares solution of Ax = b is;
Compute the matrix A T A as well as the vector A T b .Form the needed augmented matrix for the given matrix equation A T Ax = A T b , and then row reduce.This equation is always consistent, and as such any solution K x will be a least-squares solution.Now, If b is in the column space of A then it tells us that there is at least one exact solution to the system Ax = b. In this case, it means that every solution to the system minimizes |Ax − b| (makes it zero) and as such is a least squares solution.
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3.13R Question:
Evaluate the exponential function f(x)=(1/12)^x
The values of the exponential function are f(1) = 1/12, f(-1) = 12 and f(1/2) = √1/12
How to evaluate the exponential function?From the question, we have the following functions that can be used in our computation:
f(x) = (1/12)^x
Also from the question, we have the following x values
f(1), f(-1) and f(1/2)
This means that x = 1, -1 and 1/2
Substitute x = 1, -1 and 1/2 in the equation f(x) = (1/12)^x
So, we have the following representations
f(1) = (1/12)¹ = 1/12
f(-1) = (1/12)⁻¹ = 12
f(1/2) = (1/12)¹/² = √1/12
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Convert 195 ml to liters using unit fractions
Converting 195 ml to liters using unit fractions is 39/200.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
It should be noted that 1000 millimeters = 1 liters
Therefore, 195 ml to l will be:
= 195 / 1000
= 39/200
Therefore, it is 39/200.
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I NEED HELP ASAP WITH THIS QUESTION
Answer:
Step-by-step explanation:
The answer is C.
1 minute = 11/2 pounds
a day= 1440 minutes = 11/2 × 1440 = 7920 pounds
Which statement correctly represents the distance between points E and F?
The statement that correctly represents the distance between points E and F is
d = √(0-0)² + (0 − 6)² + (5 − 5)²How to find distance between two points in x-y-z coordinate systemThe distance between points measured as d between two points in the x y z coordinate system is given by
d = √{(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²}
From the graph point E = (0, 0, 5) and F = (0, 6, 5)
comparing the points to (x, y, x), the points are substituted and it written as
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Answer:
the answer is the second
Step-by-step explanation:
I took the quiz
a(3t5) plssssssssssssss help
Answer:3ta+5a
Step-by-step explanation:
just times it, its that easy
Can you please help me
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
The side ratio of two shapes is 3:4.
The ratio of the area of the two squares is 9:16.
A square has four corners and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.
A square is a closed object with four sides that are all the same length, and its interior angles are all 90 degrees. A square can have many different characteristics. The following list includes some of a square's key characteristics.
A quadrilateral with four sides and four vertices is called a square.The square's four sides are equal to one another.A square's diagonals are parallel to one another.Each vertex of a square has a 90° internal angle.360° is the total of all interior angles.If it is square:
The ratios of the sides of two squares = 3:4
Let the common multiple of the above ratio be x.
So, side of one square = 3x
and side of the other square = 4x
Area of square = (side)²
Area of square with side 3x = (3x)² = 9x²
Area of square with side 4x = (4x)²= 16x²
Ratio of the areas of the two squares = Area of square with side 3x/Area of square with side 4x = 9x²/16x² = 9/16 = 9:16
Therefore, the ratio of the area of the two squares is 9:16.
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please help me solve the surface area
Which of the following are partial products for 43 × 17?
A.3
B.21
C.28
D.40
E.400
The options that are partial products for 43 × 17 include:
B. 21
E. 400
How to find the partial products?We want to find the partial products of 43 x 17
Since 43 = 40 + 3
and 17 = 10 + 7
Then
43 x 17 = (40 + 3) x (10 + 7)
We find all the partial products by multiplying one term of the first addition with one term of the second:
43 x 17 = (40 + 3) x (10 + 7)
= (40 x 10) + (40 x 7) + (3 x 10) + (3 x 7)
= 400 + 280 + 30 + 21
The options are B and E.
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helppppppppppppppppppppppp.
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
Given function:f(x) = 3x - 5
Given that, f(x) = 4
Put it in the above equation.
4 = 3x - 5
Add 5 to both sides
4 + 5 = 3x
9 = 3x
Divide 3 to both sides
3 = x
x = 3
[tex]\rule[225]{225}{2}[/tex]
5. Which expression is equivalent to rm÷r? (4 points)
Om-n
Om+n
Om-nks
Om÷n
6. Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational (?
The expression which is equivalent to rm ÷ rn exists rm − n.
What is meant by mathematical expression?A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific rules.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one math operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Combining operators, constants, and variables creates an expression. One or more operands, 0 or more operators, and a value can all be part of an expression.
Let the expression be rm ÷ rn
[tex]$=\frac{r m}{r n}=\frac{m}{n}$[/tex]
simplifying the above equation, we get
[tex]$r^m \div r^n$[/tex]
[tex]$=\frac{r^m}{r^n}=r^{m-n}$[/tex]
Therefore, the correct answer is option A. rm − n.
The complete question is:
Which expression is equivalent to rm ÷ rn? (4 points)
A. rm − n
B.rm + n
C. rm ⋅ n
D.rm ÷ n
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Suppose a college student pays $1100 for tuition fees. However, she also has to pay $225 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer: Her books represent percent (as a decimal) of her total costs.
Write your answer to the nearest tenth of a percent, but in decimal form. For example, for 34.67%, you would round to 34.7% and enter .347 as your answer.
The percentage she spends on books from her total edducational expenses is 0.17
What is Percentage?
A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.
Solution:
Assuming there are only these two expenses on education,
the total expenses are 1100 + 225 = $1325
amount the student pays on books = $225
Percentage = (225/1325) * 100
Percentage = 16.98% = 17% (approx)
So, the final answer is 0.17
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WORTH 100 POINTS NEED BETTER GRADE C 78%
Applying Side-side-side (SSS), the two-column proof that explains why ∠T ≅ ∠S is shown below.
What is the Side-side-side (SSS) Congruence Postulate?The side-side-side (SSS) postulate states that two triangles that have all their three corresponding sides equal are definitely congruent triangles.
The two-column proof that shows that ∠T ≅ ∠S is explained below:
Statement Reason
1. U is the midpoint of ST 1. Given
2. RT ≅ RS 2. Given
3. TU ≅ SU 3. Definition of a midpoint
4. UR ≅ UR 4. Reflexive property
5. ΔTUR ≅ ΔSUR 5. Side-side-side (SSS)
6. ∠T ≅ ∠S 6. CPCTC
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Answer:
[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]
Step-by-step explanation:
Midpoint
The point that is halfway between the endpoints of the line segment.
Reflexive Property
For every number a:
a = aSide-Side-Side (SSS) Congruence Theorem
If all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are congruent.
Corresponding parts of congruent triangles are congruent (CPCTC)
If two or more triangles are congruent, their corresponding angles and sides are congruent.
[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]
a) Complete the table.
Number
36,892 81,055 7,908 126,388
Rounded to the nearest 10,000
Rounded to the nearest 1,000
Rounded to the nearest 100
helpppp
The rounding up of all the numbers 36,892 81,055 7,908 126,388 to the nearest 10000, 1000 and 100 are as shown below.
How to round up numbers?To round up a number to the nearest 10000, what we do is to check the thousands digit to decide whether to round up or round down.
To round up a number to the nearest 1000, what we do is to check the hundreds digit to decide whether to round up or round down.
To round up a number to the nearest 100, what we do is to check the tens digit to decide whether to round up or round down.
1) 36,892 to the nearest 10000 is; 40000
81,055 to the nearest 10000 is; 80000
7,908 to the nearest 10000 is; 10000
126,388 to the nearest 10000 is; 130000
2) 36,892 to the nearest 1000 is; 37000
81,055 to the nearest 1000 is; 81000
7,908 to the nearest 1000 is; 10000
126,388 to the nearest 1000 is; 126000
3) 36,892 to the nearest 100 is; 36900
81,055 to the nearest 100 is; 81100
7,908 to the nearest 100 is; 7900
126,388 to the nearest 100 is; 126400
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PLease help me i willlllllllllll faillllllllllllllif someone dont
The scenario with the greater speed is scenario 1, then the correct option is C
"Scenario 1 because the slope is 60"
Which scenario shows a greater speed?
Remember that speed is defined by:
distance = speed*time
On scenario 2 we have the linear equation:
y = 50*x
Where y is distance and x is the time in hours, so the speed is 50 miles per hour.
If we look at the graph, we can see a proportional relationship also of the form y = k*x
Where the slope k is the speed.
The first graphed point is (1, 60), then:
60 = k*1
60/1 = k
So here the speed is 60 miles per hour.
Then the correct option is C, the speed in scenario 1 is greater.
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Find X n the missing angles
First picture answer:
⇒Sum of interior angles of a triangle is equal to 180°
⇒This means that ∠D+∠E+∠F=180°
⇒∠D is (5x-2)°,∠E is (9x+3)°,∠F is (11x-21)°
⇒Plug in the values of the angles in the general equation above.
[tex](5x-2)+(9x+3)+(11x-21)=180\\[/tex]
⇒Group the like terms together and simplify.
[tex]5x+9x+11x-2+3-21=180\\25x-20=180\\25x=180+20\\25x=200\\\frac{25x}{25} =\frac{200}{25} \\x=8[/tex]
⇒x=8°
________________________________________________________
Second picture answer:
⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
⇒ ∠C is the exterior angle.
⇒ ∠A and ∠B are the interior angles.
The above statement simply means
∠C=∠A+∠B
⇒ Given that ∠A is (13x-11)°
∠B is(4x+1)°
∠C is (18x-15)°
⇒Plug in the values of the angles and solve for x.
[tex](18x-15)=(13x-11)+(4x+1)\\[/tex]
⇒Group the like terms and solve.
[tex]18x-13x-4x=-11+1+15\\x=5[/tex]
⇒ x=5°
Question 3 (4 points)
An attorney charges a fixed fee for an initial meeting and an hourly fee for all hours worked after this meeting. She charges $1750 for an initial meeting and $300 every hour worked. Create an equation that can be used to find y, the total cost of an attorney, if x represents the number of hours worked. How much would she charge for 1 hour? 20 hours?
Equation:
1 hour of work:
20 hours of work
The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.
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 lawyer charges a proper expense for an underlying gathering and an hourly charge for the entire hours worked after this gathering. She charges $1750 for an underlying gathering and $300 consistently worked.
Let 'x' be the number of hours and 'y' be the total cost. Then the equation is given as,
y = 300x + 1750
The total cost after 1 hour of work will be
y = 300 (1) + 1,750
y = 2,050
The total cost after 20 hours of work will be
y = 300 (20) + 1,750
y = 7,750
The equation is y = 300x + 1,750. And the total cost after 1 hour and 20 hours of work will be $2,050 and $7,750, respectively.
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Find angle a, given that that the hexagon is regular
Elizabeth makes an initial down payment of $2000
$2000
, then repays $90
$90
per week.
Calculate how many weeks it takes Elizabeth to fully pay off $45000.
Answer: 500
Step-by-step explanation:
$2000
$45,000 divided by 90 = 500
It will take her 500 weeks to pay $45,000'
Hope this helps
Alika scored -3, 8, 9, -7, and 13. What integer represents her average score for the 5 rounds?
Answer:
4
Step-by-step explanation:
-3 + 8 + 9 + (-7) + 13 = 20
20/5 = 4
value iteration is guaranteed to converge if the discount factor 0 < γ < 1.
a. true
b. false
It is TRUE to state that w/ a discount factor less than 1, value iteration is guaranteed to converge.
What is a discount factor?The discount factor ranges from 0 to 1. To represent the importance of a reward R that happens N steps in the future from the current state, multiply it by γⁿ. Consider γ= 0.9 and a reward R = 10 that is three steps ahead of our current condition.
Hence, it is correct to indicate that value iteration is assured to converge if the discount factor 0 < γ < 1.
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Full Question:
For an infinite horizon MDP w/ a finite # of states and actions and w/ a discount factor γ that satisfies 0 < γ < 1, value iteration is guaranteed to converge.
a. true
b. false
How many periods of the function
y = sin x are there between
-10п < 0 ≤ 6п ?
The number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.
The given trigonometric function is y=sinx.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the interval is -10π < 0 ≤ 6π
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
Plot (0, 0), (π/2, 1), (π, 0), (3π/2, -1) and (2π, 0)
Therefore, the number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.
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