Answer:
y = 0x + 70
y = 4x + 15
y = 6x + 0
Step-by-step explanation:
What is table critical values of t?
A table of critical values of t, also known as a t-distribution table, is a reference table used in statistical hypothesis testing to determine the critical values of the t-distribution for a degrees of freedom.
The table lists the critical values of the t-distribution for various degrees of freedom and significance levels. For a given level of significance (usually denoted by alpha), the table provides the critical t-value that corresponds to the degrees of freedom of the sample. The critical t-value is the minimum value of t that must be exceeded in order to reject the null hypothesis at the specified level of significance.
The t-distribution is similar to the standard normal distribution but has heavier tails, making it more suitable for small sample sizes. By using a table of critical values of t, statisticians and researchers can determine whether their t-statistic falls in the rejection region or not, and make conclusions about their hypothesis test.
It's important to note that the use of a t-distribution table assumes that the data being analyzed are normally distributed, and that the sample size is small. For larger sample sizes, a normal distribution table may be more appropriate.
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Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.
What is Rita’s error?
PLEASE HURRY BECAUSE I'M ON A QUIZ
Answer:
that she switched the equation
Step-by-step explanation:
when you switch an subtraction or negitive based equation, the answer is prob/ most likely gonna change
A company makes a profit of 1.38 million. This is 2.54 million more than last year. What was the profit last year?
Answer:
negative 1.16 million
Step-by-step explanation:
P = 1.38 - 2.54 = -1.16 = a negative profit of $1.16 million = a loss of $1.16 million
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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- ii: word problems - use the 3-step process to solve each word problem! the larger number is 18 more than twice the smaller. if the sum of the two numbers is 93, find both numbers.
The smaller number is 25, and the larger number is 68. The larger number is 18 more than twice the smaller number, and their sum is 93.
To solve this word problem using the 3-step process, we need to find the two numbers given that the larger number is 18 more than twice the smaller and the sum of the two numbers is 93.
Step 1: Let's assign variables to the unknown numbers. Let's say the smaller number is "x" and the larger number is "y".
Step 2: Translate the given information into equations. From the problem, we know that the larger number is 18 more than twice the smaller. So, we can write the equation as: y = 2x + 18.
We also know that the sum of the two numbers is 93. So, we can write another equation as: x + y = 93.
Step 3: Solve the system of equations. We have two equations:
y = 2x + 18
x + y = 93
We can solve this system of equations by substitution method or elimination method. Let's use substitution.
Substitute the value of y from the first equation into the second equation:
x + (2x + 18) = 93
3x + 18 = 93
3x = 93 - 18
3x = 75
x = 75 / 3
x = 25
Now, substitute the value of x back into the first equation to find y:
y = 2(25) + 18
y = 50 + 18
y = 68
So, the smaller number is 25 and the larger number is 68.
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In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on first base tries to steal second base. How far does the ball need to travel from home plate to second base to get the player out? round your answer to the nearest tenth.
Answer:
AC = 127,26 f distance from home plate to second base
Step-by-step explanation:
Let call A , B , C Home plate, first base and second base respectively
These three point form a right triangle with legs ( AB = BC = 90 feet)
we have an isosceles triangle with a right angle and two angles of 45⁰
So we need to compute distance AC (hypotenuse)
AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2
AC = 90 * 1,414
AC = 127,26 f
An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas
Answer: 42
Step-by-step explanation:
Given
An Umbrella manufacturer has \(1584\ \text{Umbrellas}\)
One case will hold \(38\) Umbrellas
Number of cases required to hold all the Umbrellas are
\(\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42\)
Thus, 42 packs are required to hold all the Umbrellas
Find The surface area of a cone with a radius of 7 and slant hight of 9
Answer:14
Step-by-step explanation:
what is the decimal equivalent of 20/9
Answer:
2.222222
Step-by-step explanation:
Find the work done by the force field F=(x+y)i+(x−z)j+(z−y)k in moving an object from (3,2,0) to (2,0,−3) along any smooth curve. The work is units. (Type an exact answer.)
The work done by the force field F in moving an object from (3,2,0) to (2,0,-3) along any smooth curve is -5.5 units.
The work done by a force field F along a curve C is given by the line integral:
W = ∫ F · dr
where F is the force field and dr is the differential displacement vector along the curve C.
In this case, the force field F is given by F = (x+y)i + (x-z)j + (z-y)k.
To calculate the work, we need to parameterize the curve C from (3,2,0) to (2,0,-3). Let's choose a parameterization:
r(t) = (3-t)i + (2-2t)j + (-3t)k
where 0 ≤ t ≤ 1.
Now, we can calculate the differential displacement vector dr:
dr = r'(t) dt = -i - 2j - 3k dt
Next, we substitute F and dr into the line integral:
W = ∫ F · dr = ∫ ((x+y)i + (x-z)j + (z-y)k) · (-i - 2j - 3k) dt
Simplifying the dot product, we get:
W = ∫ (-x - y - 2(x-z) - 3(z-y)) dt
Now, we substitute the parameterization into the integral and evaluate it over the interval 0 ≤ t ≤ 1:
W = ∫ (-(3-t) - (2-2t) - 2((3-t)-(-3t)) - 3((-3t)-(2-2t))) dt
Solving the integral, we find:
W = ∫ (7t - 9) dt = [3.5t^2 - 9t] from 0 to 1
Substituting the limits, we get:
W = 3.5(1)^2 - 9(1) - [3.5(0)^2 - 9(0)]
W = 3.5 - 9 - 0 = -5.5
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Aidan makes 12 bracelets on Monday. He makes 20 bracelets on Tuesday. He continues to make 8 more bracelets each day from Wednesday through Friday. How many bracelets does Aidan make on Friday
Answer:
56
Step-by-step explanation:
Monday - 12
Tuesday - 20
Wednesday - +8
Thursday - +8
Friday - +8
12 + 20 + 8 + 8 + 8 = 56
An aquarium is 36 inches long, 24 inches wide, and 16 inches tall. the aquarium ia filled with distilled water to to a level of 12 inches. if a cubic foot of distilled water weighs 62.4 pounds, how many pounds of water are in the aquarium?
The weight of water in the aquarium can be calculated by determining the volume of water and multiplying it by the weight of a cubic foot of water.
The given dimensions of the aquarium are 36 inches (length) by 24 inches (width) by 16 inches (height). The water level is at 12 inches. To calculate the volume of water, we multiply the length, width, and height of the water-filled portion, which is 36 inches by 24 inches by 12 inches.
Converting the volume to cubic feet (since the weight is given in pounds per cubic foot), we divide the volume by 12^3 (since 12 inches make up a foot) to get the volume in cubic feet.
Finally, we multiply the volume in cubic feet by the weight of a cubic foot of water, which is 62.4 pounds, to find the total weight of water in the aquarium.
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Please Help, Please hurry
The solution to the expression after the sequence of operations is -3.
How to evaluate and solve the given expression?In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we have the following mathematical expression:
Expression: 8 + 3 - 7 · 18/6
Expression: 8 + 3 - 7 · 2 (division)
Expression: 8 + 3 - 14 (multiplication)
Expression: 11 - 14 (addition)
Expression: -3 (subtraction)
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what is the answer to number 2 at the top?
The equation of the transformed exponential function g(x) is g(x) = 2^-x - 1
Writing an exponential function for the graph of g(x)From the question, we have the following parameters that can be used in our computation:
Parent function: y = 2^x
The graph of the transformed exponential function g(x) passes through the points (-2,3), (-1,1), (0,0), (1,-0.5) and (2, -0.75)
So, we have the following transformation steps:
1st Transformation:
Reflect y = 2^x across the y-axis
So, we have
y = 2^-x
2nd Transformation:
Translate y = 2^-x down by 1 unit
So, we have
y = 2^-x - 1
This means that
g(x) = 2^-x - 1
Hence, the equation of the function g(x) is g(x) = 2^-x - 1
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A wagon is pulled horizontally by exerting a force of 42 pounds on the handle at an angle of 25° with the horizontal. How much work is done in moving the wagon 85 feet?
Answer:
The work done is 4386.6 J.
Step-by-step explanation:
The work is given by:
\( W = Fd \)
Where:
F: is the applied force = 42 pounds
d: is the displacement = 85 feet
Since the force is applied at an angle (θ) of 25° with the horizontal we have:
\( W = Fcos(\theta)d \)
\( W = 42 lb*\frac{4.448 N}{1 lb}cos(25)*85 ft*\frac{0.3048 m}{1 ft} = 4386.6 J \)
Therefore, the work done is 4386.6 J.
I hope it helps you!
C
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the
functions over the interval 0≤x≤1?
-1
-1
2
O The exponential grows at half the rate of the quadratic.
O The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic
The correct answer is option b which is the exponential grows at the same rate as the quadratic.
The complete question is given below with the graph attached:-
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval
a. The exponential grows at half the rate of the quadratic.
b.The exponential grows at the same rate as the quadratic.
c.The exponential grows at twice the rate of the quadratic.
d.The exponential grows at four times the rate of the quadratic.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.
The rate of change of a function f(x) over an interval
a ≤ x ≤ b
is given by
\(\dfrac{f(b)-f(a)}{b-a}\)
Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
0 ≤ x ≤ 1
is given by
\(\dfrac{f(1)-f(0)}{1-0}= \dfrac{2-1}{1}=1\)
Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
0 ≤ x ≤ 1
is given by
\(\dfrac{g(1)-g(0)}{1-0}=\dfrac{1-0}{1}=1\)
Therefore, the exponential grows at the same rate as the quadratic in the interval .
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there are two drama groups in school one group were 36 boys and 48 girls in the other 3/7 of students are boys others girls
ann says "the ratio of the number of boys to the number of girls is the same for both groups"
is ann correct
Answer:
UMMMM Wait IM sorry What grade are you in? I'm in fifth.
Step-by-step explanation:
Given the triangle below, what is mA, rounded to the nearest tenth?
Answer:
A. 24.2°
Step-by-step explanation:
I'm correct if I'm rwong
Find the perimeter and the area of the figure.
Step-by-step explanation:
perimeter = 7 + 6 + 9.5 + 6.5
= 29
area of rectangle = 6 X 7 = 42
area of triangle = ½ X 2.5. X 6 = 7.5
total area = 42 + 7.5 = 49.5
\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)
the given figure is a composition of a rectangle as well as a right angled triangle !
we've been given the two sides of the rectangle and we're required to find out the height of the triangle , so as to find it's area ~
we know the the opposite sides of a rectangle are equal , therefore we can break the longest side ( length = 9.5 cm ) into two parts ! the first part of length = 7 cm which is the length of the rectangle and the rest 2.5 cm ( 9.5 - 7 = 2.5 ) will become the height of the triangle !
For perimeter of the figure -\(perimeter \: of \: figure = perimeter \: of \: rectangle + perimeter \: of \: triangle \\ \\ \)
now ,
perimeter of rectangle = 2 ( l + b )
where ,
l = length
b = breadth
\(\longrightarrow \: perimeter = 2(7 + 6) \\ \longrightarrow \: 2(13) \\ \longrightarrow \: 26 \: cm\)
and ,
\(perimeter \: of \: \triangle = 6.5 + 2.5 + 6 \\ \longrightarrow \: 15 \: cm\)
Perimeter of figure in total = 26 cm + 15 cm
thus ,
\(\qquad\quad\bold\red{perimeter \: = \: 41 \: cm}\)
For area of the figure -\(area \: of \: figure = area \: of \: rectangle + area \: of \: rectangle \\ \)
now ,
area of rectangle = l × b
where ,
l = length
b = breadth
\(area \: of \: rectangle = 7 \times 6 \\ \longrightarrow \: 42 \: cm {}^{2} \)
and ,
\(area \: of\triangle = \frac{1}{2} \times base \times height \\ \\ \longrightarrow \: \frac{1}{\cancel2} \times \cancel6 \times 2.5 \\ \\ \longrightarrow \: 3 \times 2.5 \\ \\ \longrightarrow \: 7.5 \: cm {}^{2} \)
Area of figure in total = 42 cm² + 7.5 cm²
thus ,
\(\qquad\quad\bold\red{Area \: = \: 49.5 \: cm^{2}}\)
hope helpful :)
which sign do i use??/
Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
How could a conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet? (1 foot = 0.305 meters)
Answer: 4.1 feet : 4 feet
Step-by-step explanation:
From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.
The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:
Since 1 feet = 0.305 meters
2.5 meters will be = 2.5/0.305 = 8.2 feet
Therefore the conversion ratio will be:.
= 8.2 : 8
Reducing to lowest term will be
= 4.1 feet : 4 feet.
= 4.1 : 4
Can anyone help me solve this circle?
=============================================
Explanation:
Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.
Since base angle C is 35 degrees, that makes base angle T this measure as well.
-----------
We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.
Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.
------------
Recall that for any quadrilateral, the interior angles always add to 360
let x be the measure of angle O, aka angle QOT
P+T+O+Q = 360
60+145+x+90 = 360
x+295 = 360
x = 360-295
x = 65
Therefore, angle QOT is 65 degrees
WILL GIVE BRAINLIEST
Which of the following represents a function
Answer:
C
Step-by-step explanation:
The table has 2 inputs that are the same (-1) but have different outputs (7 and 1). The list of coordinates also has 2 points with the same x - axis but different y values. For the graph you could use the vertical line test. If you put the line on -1 on the x-axis is goes through 2 points. The indicates that it is not a function.
Hope this helsp. Pls give brainliest.
5
Match each expression with its quotient.
a. 5.2 10
b. 520 - 10²
c. 52 - 10³
d. 5,200 10¹
0.052
0.52
5.2
52
520
5,200
The appropriate matching of the expression will be:
5.2 × 10 = 52
5.2 × 10² = 520
5.2 × 10³ = 5200
5.2 × 10^-1 = 0.52
How to illustrate the information?It should be noted that the information illustrated is simply about the power on the numbers. This was illustrated on the information.
In this case, it should be noted that the thing to f is to multiply the numbers or count the number of zeros and illustrate on the numbers.
Therefore, the appropriate matching of the expression will be:
5.2 × 10 = 52
5.2 × 10² = 520
5.2 × 10³ = 5200
5.2 × 10^-¹ = 0.52
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w = 4y + 6
Solve for y
Answer:
The answer is y = - 3/2 + 1/4 W
also if you click the image it will show you how to solve the equation. I hope the image helps.
(a) select one of the pairs of systems and write down its number. (b) for the pair selected, identify each system and state one function of that system. (c) explain how the two systems work together to help maintain homeostasis in an individual.
a. Pair 2 is selected.
b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.
c. The two systems work together by sharing the region of the mouth and upper throat.
First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.
How does the respiratory system and the digestive system work together?The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.
The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.
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what are the next 6 digits in 0.27227222722227
Answer:
in explanation
Step-by-step explanation:
0.27227222722227
The next 6 digits are
0.27227222722227222227
Are my answers correct. If not pls show work where i went wrong.
Suppose you are studying the average systolic pressure (in mmHg) of all possible ramdom samples of 100 adults from a population of 2,500 adults in Souther California hospitals. Assume the underlying population systolic blood pressure follows a Normal distribution with mean of 115 mmHg and standard deviation of 3 mmHg.
1. what is the standard deviation of the sampling distribution? i think it is 115 mmHg
2. what is the standard deviation of the sampling distribution? i got 0.03 mmHg
3. true or false: to determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution. i think its true
4. Calculate the 95% CI for the sampling distribution of the mean blood pressure. Use 1.96 for the critical value and round your answer to ywo decimal places. I got 114.94-115.06
1. The standard deviation of the sampling distribution is not 115 mmHg. To calculate it, use the formula σ/√n, where σ is the population standard deviation, and n is the sample size. In this case, σ = 3 mmHg and n = 100. So, the standard deviation of the sampling distribution is 3/√100 = 3/10 = 0.3 mmHg.
2. Your answer of 0.03 mmHg is incorrect. As calculated above, the correct standard deviation of the sampling distribution is 0.3 mmHg.
3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which in this case is given as a Normal distribution.
4. Your 95% CI calculation is incorrect. To calculate the 95% CI, use the formula µ ± (critical value * standard deviation of the sampling distribution). In this case, µ = 115 mmHg, the critical value is 1.96, and the standard deviation of the sampling distribution is 0.3 mmHg. So, the 95% CI is 115 ± (1.96 * 0.3) = 115 ± 0.588. This results in a 95% CI of 114.41-115.59 (rounded to two decimal places).
The standard deviation of the sampling distribution is 0.3 mmHg. It is true that to determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution. The 95% CI for the sampling distribution of the mean blood pressure is 114.41-115.59.
1. Your answer is incorrect.
The standard deviation of the sampling distribution is calculated using the formula:
the standard deviation of the population / √(sample size).
In this case, it would be
3 mmHg / √(100) = 3 mmHg / 10
The standard deviation of the sampling distribution = 0.3 mmHg.
2. Your answer is incorrect, as explained in the previous point. The correct standard deviation of the sampling distribution is 0.3 mmHg.
3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which is given as a Normal distribution.
4. Your answer is close but slightly off.
To calculate the 95% CI (confidence interval) for the sampling distribution of the mean blood pressure, we use the formula:
average ± (critical value × standard deviation of the sampling distribution).
In this case, it would be
115 ± (1.96 × 0.3) = 115 ± 0.588.
So, the correct 95% CI is 114.41-115.59 when rounded to two decimal places.
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Which equations represents a line that passes through (4, 1/3) and has a slope of 3/4
Answer:
y = 3/4x - 8/3
Step-by-step explanation:
y = 3/4x + b
1/3 = 3/4(4) + b
1/3 = 3 + b
-8/3 = b
Answer:
y=3/4x-8/3
Step-by-step explanation:
y-y1=m(x-x1)
y-1/3=3/4(x-4)
y-1/3=3/4x-12/4
y-1/3=3/4x-3
y=3/4x-3+1/3
y=3/4x-9/3+1/3
y=3/4x-8/3
If OQ and RT are parallel lines and
M
Answer:
Late but its 115