The shape of the sampling distribution of sample means it approaches a normal distribution. (option d).
The shape of the sampling distribution of sample means is determined by the size of the sample. As the sample size increases, the shape of the distribution approaches a normal distribution. This is known as the Central Limit Theorem (CLT).
The CLT states that, regardless of the population's distribution, the sampling distribution of sample means will be approximately normal as the sample size increases. This means that even if the population is not normally distributed, the distribution of the sample means will still be normal as long as the sample size is large enough.
The reason for this is that as the sample size increases, the variability of the sample means decreases. This is because the sample means tend to cluster around the population mean, making the distribution more concentrated and less spread out. As a result, the distribution becomes more symmetrical and bell-shaped, resembling a normal distribution.
Therefore, the correct answer to the multiple-choice question is d) it approaches a normal distribution.
To know more about distribution here
https://brainly.com/question/31197941
#SPJ4
Melody had 120 stamps more than Jeremy. After Melody gave 30 stamps to Jeremy, she had twice as much as him. How many stamps do they have altogether?
melody had 120 stamps.
and she gave Jeremy 30 stamps .
so she had 90 stamps now.
after she gave Jeremy 30 stamps,she had twice as much as him.
so 90 is 45+45 .other way 45 is half of 90.
so Jeremy had 45 stamps now.
they have altogether 90+45=135 stamps.
the answer is 135
By creating and solving an algebraic equation, we learn that Jeremy started with 60 stamps and Melody started with 180 stamps. Therefore, they originally had 240 stamps combined.
Explanation:We'll use algebra to solve this. Let's let Jeremy's number of stamps be represented by J. According to the information, Melody had 120 more stamps than Jeremy before she gave him 30, so she had J + 120 stamps. After transferring the 30 stamps, she has J + 120 - 30 stamps, which simplifies to J + 90 stamps. According to the problem, this amount is twice the amount Jeremy has after receiving the 30 stamps (J + 30). So, we can set up this equation: 2(J + 30) = J + 90.
Solving this equation gives J = 60. That means Jeremy started with 60 stamps. Therefore, Melody started with 60 + 120 = 180 stamps. The total number of stamps both had originally is 60 + 180 = 240 stamps.
Learn more about algebra here:https://brainly.com/question/32436021
#SPJ2
The length of a rectangle is 8
meters and the width is 4 meters
Find the perimeter of the
rectangle
Answer:
24m
Step-by-step explanation:
l=8m
b=4m=w
p=2(l+b)
p=2(8+4)m
p=2(12m)
p=24m
Answer:
24 cm
Step-by-step explanation:
\(\boxed{\begin{minipage}{5 cm}\underline{Perimeter of a rectangle} \\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width.\\ \phantom{ww}$\bullet$ $l$ is the length. \\\end{minipage}}\)
Given values:
w = 4 ml = 8 mSubstitute the given values into the formula:
\(\begin{aligned}P&=2(w+l)\\\implies P&=2(4+8)\\&=2(12)\\&=24\;\; \sf cm\end{aligned}\)
Therefore, the perimeter of the rectangle is 24 cm.
7. If AMIJ = AKIL, identify any corresponding congruent sides
and angles for the triangles.
More than one answer may be correct; select all that apply.
HELP I DONT GET IT
An item is regularly priced at $55. It is on sale for 20% off the regular price. What is the sale price?
Answer:
44
Step-by-step explanation:
Answer:
$44
Step-by-step explanation:
20% changes to 0.2
$55 x 0.2 = $11 ---> this is the sales discount
$55 - $11 = $44 ---> sale price
Congruent, similar, or neither ?
4/14 does not = 6/20
2/12 does not = 3/18
Thus, NEITHER is the answer.
The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm
Answer:
Width __6___ cm
Length __12__ cm
Step-by-step explanation:
hello :
x : the width and y : Length P : the perimeter
P=2(x+y ) but : P=36cm and : y = 2x
36 = 2(x+2x)
36 = 2(3x)
6x =36 so : x=6 cm and y = 2×6=12cm
Step-by-step explanation:
If breadth is b,then length will be 2b,so
Perimeter=36
2(2b+b)=36
3b=18
b=6,so,l=2×6=12
So,length is 12 and breadth is 6,
Hope it helps…
**Help**
*will give brainliest*
What is the percent that the temperature of a ufo that hits in the middle of the Arctic and is eaten by a giraffe is 72 degrees?
Answer:
67°
Step-by-step explanation:
TYAJSJSHSSNDNDBSBSBSBBSD
pleaseeee helppp meee!!!!
What transformation has changed the parent function f(x) = (0.5)x to its new appearance shown in the graph? exponential graph passing through point negative 3, 2 and negative 2, 1 a f(x) − 2 b f(x + 2) c f(x) + 1 d −1 • f(x)
Correct option is A, f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.
What modification has caused the parent function to change?The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.
In the picture below you can see the blue line is the graph of the function
f(x) = log(5x) and the green line is the graph of the function
g(x) = log[5(x + 4)] - 2
Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.
We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.
The function shifts to the left when you add a number to x;
The function moves to the right when you remove a number from x;
The function increases when you add a number to it;
The function decreases when you take a number away from it.
Then we get a function g(x) = log[5 (x + 4)] - 2.
To learn more about parent function refers to;
brainly.com/question/12648375
#SPJ1
what is the gradient?
Answer:
It's 3 simple rise/run so 9/3
there is like 2 more coming
Answer:
28cm
Step-by-step explanation:
To calculate the area of this shape, we need to seperate it into two shapes.
We see that the length of the top shape is 2 CM. Since the top shape is a square, we know it is a 2x2 shape (because two of the other sides are 2cm.) The area of the top shape, the square, can be found by performing the formula for calculating area (length x width). 2 x 2 = 4 (duh, haha). Now, we need to find the area of the bottom shape. Since we're separating them into two shapes, we need to subtract the length of the first shape and this one. 4 x 6 (the area formula) will give us 24. Now, we need to add our two shapes to get the area of the entire shape. 24 cm + 4 cm = 28 cm.
Shane is an a baseball team. He averages 6 hits in 30 times at bat. How many hits should you expect him to have after 180 times at bat
What is the difference between 85.23 and 2.675
Answer:
82.555
Step-by-step explanation:
Based on the given conditions, formulate:
85.23 - 2.675
Calculate the sum or difference: 82.555
Identify the sample space of the probability experiment: Answering a true or false question.
A) 1
B)2
C)4
D)5
Answer:
there are 5
Step-by-step explanation:
"im different"
The sample space of the statement is 2.
What is sample space?"A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment. If it contains a finite number of outcomes, then it is known as discrete or finite sample spaces."
"The samples spaces for a random experiment is written within curly braces “ { } “. There is a difference between the sample space and the events."
The given statement is "Answering a false question"
Sample space of the following is S = {True, False}
Hence B is the correct option.
To know more about sample space here
https://brainly.com/question/17144524
#SPJ2
What is the area of a circle?
diameter = 36yd
A. 1017.4
B. 99
I need to know how you solved it a explanation because this is important
Help please I need the correct answer to this please
I will give a brainliest and a thanks and points
Area of a circle = pi x r^2
R is the radius which is half the diameter.
You are given the diameter so divide that by 2 to get the radius:
36/2 = 18
Now using the formula above:
Area = pi x 18^2
Area = 1017.4
The answer is A. 1017.4
Area = 1017.4
The answer is A. 1017.4
-type and cross match required before transfusing -begin infusion within 30 mins of blood leaving blood bank -obtain baseline VS and assessment -stay with child first 15-20 mins (reaction most likely to occur during this time) -check VS 15 min x2 then 30 min x2 then hourly -takes 4 hours -assess at end of transfusion and 1 hour after
1. Type and cross-match required before transfusing.
2. Begin infusion within 30 minutes of blood leaving the blood bank.
3. Obtain baseline vital signs (VS) and conduct an assessment.
4. Stay with the child for the first 15-20 minutes as reactions are most likely to occur during this time.
5. Check vital signs 15 minutes twice, then 30 minutes twice, and then hourly.
6. The transfusion takes 4 hours.
7. Assess the child at the end of the transfusion and again 1 hour after.
1. Type and cross-match required before transfusing: This step ensures compatibility between the blood being transfused and the recipient's blood type. It helps prevent adverse reactions during the transfusion process.
2. Begin infusion within 30 minutes of blood leaving the blood bank: To maintain the quality and integrity of the blood product, it should be infused promptly after leaving the blood bank to minimize the risk of bacterial growth or other complications.
3. Obtain baseline vital signs (VS) and conduct an assessment: Before starting the transfusion, it is important to establish the child's baseline vital signs and conduct a general assessment to establish a reference point for comparison throughout the transfusion.
4. Stay with the child for the first 15-20 minutes as reactions are most likely to occur during this time: This step ensures close monitoring and immediate intervention if any adverse reactions or complications occur during the initial stages of the transfusion.
5. Check vital signs 15 minutes twice, then 30 minutes twice, and then hourly: Regularly monitoring vital signs at specific intervals helps detect any changes or signs of a reaction or complication during the transfusion process.
6. The transfusion takes 4 hours: This information indicates the duration of the transfusion, providing an estimate of the time frame required for monitoring and assessing the child's response to the transfusion.
7. Assess the child at the end of the transfusion and again 1 hour after: After the completion of the transfusion, it is important to conduct a final assessment to evaluate the child's overall response to the transfusion. Additionally, assessing the child 1 hour after the transfusion allows for the identification of any delayed reactions or complications that may have arisen.
The provided steps outline a transfusion protocol, highlighting key actions such as type and cross-matching, timely initiation of infusion, close monitoring of vital signs, and comprehensive assessments before, during, and after the transfusion. These measures are crucial for ensuring the safety and well-being of the child receiving the blood transfusion.
To know more about transfusion process, visit
https://brainly.com/question/28404372
#SPJ11
Select all the correct answers.
If the measure of angle is , which statements are true?
0
0
The measure of the reference angle is 60°.
sin (0) =
The measure of the reference angle is 45°.
tan(0) = 1
The measure of the reference angle is 30°.
cos (0) = √3
The measure of the reference angle is: \($$\cos (\theta)=\frac{\sqrt{3}}{2}$$\)
What is reference angle?The acute angle in mathematics is the reference angle, which is smaller than 90 degrees. It consistently creates the shortest angle and aligns the angle's terminal side with the x-axis. The reference angle for an angle is the size angle, t, formed between the horizontal axis and the angle's terminal side. Use reference angles to get the sine and cosine of the original angle. Reference angles can also be used to calculate the coordinates of a point on a circle.The reference angle of an angle is the smallest acute angle between the terminal arm of a quadrant and the x-axis.
Given that:
\($$\theta=\frac{11 \pi}{6}$$\)
First, we convert to degrees
\(& \theta=\frac{11 \pi}{6} * 180 \pi \\\)
\(& \theta=\frac{11}{6} * 180 \\\)
\(& \theta=11 * 30 \\\)
\(& \theta=330^{\circ}\)
\($$\alpha=30$$\)
Hence, the measure of the reference angle Is: \($30^{\circ}\alpha=30\)$ means that the reference angle is in the first quadrant \($\theta=330^{\circ}$\) means that this angle is in the fourth quadrant
In the first and the fourth quadrants,
\($$\cos (\theta)=\cos (\alpha)$$\)
Substitute \($\alpha=30$\)
\($$\cos (\theta)=\cos (30)$$\)
In trigonometry:
\($$\cos (30)=\frac{\sqrt{3}}{2}$$\)
So:
\($$\cos (\theta)=\frac{\sqrt{3}}{2}$$\)
\($$\cos (\theta)=\frac{\sqrt{3}}{2}$$\)
To learn more about reference angle refer to;
https://brainly.com/question/16884420
#SPJ4
Ashraf paid$4 for a package of 8 candy bars. Ronnie paid $5.40 for a package of 12 candy bars. Based on these rates, which statement is true? * 4 points A Ronnie paid $.40 more per bar than Ashraf B Ashraf paid $.05 more per bar than Ronnie C Ashraf paid $.50 more per bar than Ronnie D They paid the same amount per bar
Answer: its B
Step-by-step explanation:
1. Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in Tank A after the following amounts of time have passed? a. 4 minutes b. 80 seconds c. m minutes 2. How many minutes have passed, m, when tank A contains the following amounts of water? a. 151 liters b. 191.5 liters c. 270.25 liters d. p liters
This question was not correctly written
Complete Question
Tank A initially contained 124 liters of water. It is then filled with more water at a constant rate of 9 liters per minute. Fill in the blank with the amount of water in liters that is in tank a at the given time
How much water is in the tank
after 4 minutes?
How much water is in the tank after 80 minutes ?
Answer:
How much water is in the tank
after 4 minutes?
= 160 liters
How much water is in the tank after 80 minutes ?
= 844 liters
Step-by-step explanation:
Tank A initially contained 124 liters of water. It is then filled with more water at a constant rate of 9 liters per minute.
How much water is in the tank
after 4 minutes?
1 minute = 9 liters
4 minutes = x
x = 9 liters × 4
x = 36 liters
The amount of water in the tank after 4 minutes
= 124 liters + 36 liters
= 160 liters
How much water is in the tank after 80 minutes ?
1 minute = 9 liters
80 minutes = x
x = 9 liters × 80
x = 720 liters
The amount of water in the tank after 4 minutes
= 124 liters + 720 liters
= 844 liters
Give simple working out
The missing angle of the diagram is expressed as; x = 70°
How to find the sum of angles at a point?An angle is usually measured with reference to a circle with its center at the common endpoint of the rays. Hence, the sum of angles at a point is always 360 degrees
Now, we are given a point with three angles where one is unknown and the other two are known. Thus, by the sum of angles about a point, they will sum up to 360 degrees.
Thus;
x + 160 + 130 = 360
x + 290 = 360
x = 360 - 290
x = 70°
Read more about sum of angles at a point at; https://brainly.com/question/25055291
#SPJ1
What is the area of this figure! Pls help!
Answer:
count all the boxes it covers(that is your area)
answer : 27
Step-by-step explanation:
10. Ryan can trim the bushes in the neighbor's yard in 2 hours. Shawn can trim the bushes in 3 hours. If they work together, how long will the job take? a) What is the equation for this calculation? b) How long will the job take? Give the answer in minutes.
Answer:
1 / (Ryan's rate + Shawn's rate)
72 minutes
Step-by-step explanation:
Given that :
Ryan's time = 2 hours ; rate = 1 /2
Shawn's time = 3 hours ; rate = 1/3
A.)
Working together :
Take the reciprocal of the sum of Ryan and Shawn's rate
1 / (Ryan's rate + Shawn's rate)
B.) 1/ (1/2 + 1/3)
(1/2 + 1/3) = (3 + 2) / 6 = 5/6
Rate working together = 5/6
Time taken = 1 ÷ (5/6)
= 1 * 6/5
= 6/5 hours = 1.2 hours = (1.2 * 60) = 72 minutes
If Karel starts at Street 1 and Avenue 1, facing East, where will Karel be, and what direction will Karel be facing after running the following code? (Assume the world is 10x10 in size)move();turnLeft();putBall();turnLeft();turnLeft();turnLeft();move();turnLeft();
After running the given code, Karel will be at Street 2 and Avenue 2, facing North.
Here is a step-by-step explanation of what the code does:
move(); - Karel moves one block east, to Street 1 and Avenue 2.
turnLeft(); - Karel turns left to face north.
putBall(); - Karel puts a ball at Street 1 and Avenue 2.
turnLeft(); turnLeft(); turnLeft(); - Karel turns left three times to face south.
move(); - Karel moves one block south to Street 2 and Avenue 2.
turnLeft(); - Karel turns left to face east.
So after executing this code, Karel will be at Street 2 and Avenue 2, facing North.
To learn more about the code:
https://brainly.com/question/23275071
#SPJ11
find the point 5 units along the curve (in the direction of increasing t) from p.
The point 4 units along the curve (in the direction of increasing t) from P exists as t = ln |L/2 + 1|.
What is meant by arc length of the function?When a particle's position in space is represented as a function of time by a vector-valued function, the arc-length function calculates the particle's travel distance as a function of time.
The length of an arc is the separation of two locations along a segment of a curve. Curve rectification is the process of measuring an irregular arc segment's length by simulating the section as a network of connected line segments. A rectifiable curve can be broken down into a finite number of segments.
(a) Let the given function be r(t) = \(e^t\) sin t i + √2 \(e^t\) k
To find the arc length of the function, we have:
\(& \mathrm{r}^{\prime}(\mathrm{t})=\mathrm{e}^t \\\)
\(& \mathrm{r}^{\prime}(t)=(\cos t+\sin t) e^t+(\cos t-\sin t) e^t+\sqrt{2} e^t \\\)
\(& \left|r^{\prime}(t)\right|=\sqrt{\left[(\cos t+\sin t) e^t\right]^2+\left[(\cos t-\sin t) e^t\right]^2+\left(\sqrt{2} e^t\right)^2}\)
simplifying the above equation, we get
\(& =\sqrt{\left(4 e^{(2 t)}\right)} \\\)
\(& =2 \mathrm{e}^t\)
(b) We have the arc length function, L to be the integral from 0 to t, so:
\($& L=\int_0^t 2 e^v \\\)
simplifying the above equation, we get
\(& L=2 e^t-2 e^0 \\\)
\(& =2 e^t-2 \\\)
\(& L=2\left(e^t-1\right) \\\)
simplifying the above equation, we get
\($& L / 2=e^t-1 \\\)
\(& L / 2+1=e^t\)
\(e^t\) = L / 2+1
t = ln |L/2 + 1|
The complete question is:
A. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P.
b. Find the point 4 units along the curve (in the direction of increasing t) from P.
r(t) = et sin t i + √2 et k, P(0, l ,√2)
To learn more about arc length function refer to:
https://brainly.com/question/17748353
#SPJ4
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
#SPJ1
Envision Geometry 10-1 Circles 22. page 425
The segment area of the circle that's given in the envision geometry is 2.568.
How to calculate the segment area?It should be noted that the segment area is given as:
= (a/360)π × R² - Area of triangle
= (90/360)π × 3² - (1/2 × 3²)
= 9π/4 - 9/2
= 2.568
In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.
Learn more about geometry on:
https://brainly.com/question/24375372
#SPJ1
Examine parallelogram ABCD below.
Determine which of the following values are correct. Select three that apply.
A
m2D = 105
B
m2A = 75°
C
m2 = 93°
D
m2B = 87°
E
x = 16
F
x = 19
Given that,
∠C = (6x-21)° and ∠A = (4x+11)°
To find,
Choose the correct option.
Solution,
For a parallelogram, the opposite angles are equal. ATQ,
(6x-21)° = (4x+11)°
Taking like terms together,
6x-4x = 21 + 11
2x = 32
x = 16
∠C = (6x-21)° = 6(16) -21 = 75°
So, ∠A = 75°
So, ∠A = ∠C = 75°. Hence, the correct option is (B).
What is an equivalent equation solved for y2? y2 = mx2 – x1 y1 y2 = mx2 – x1 – y1 y2 = m(x2 – x1) y1 y2 = m(x2 – x1) – y1
y₂ = m(x₂ - x₁) + y₁ is an equivalent equation solved for y₂, using the concept of linear equation.
What is a linear equation?A linear equation has the following standard form: ax + by + c = 0.
Here, variables x and y and constants a, b, and c are used.
Also, a ≠ 0, and b ≠ 0.
For linear equations, the slope-intercept formula is: y=mx+b
Where m stands for the line's slope and b represents the y-intercept.
The three types of linear equations are point-slope, slope-intercept, and standard form.
When an algebraic equation is graphed, it always produces a straight line since each term has an exponent of 1 or 0. This is known as linear equations.
given that,
The slope m, of a linear equation can be found using the formula:
m = (y₂-y₁)/(x₂-x₁)
m(x₂ - x₁) = y₂ - y₁
m(x₂ - x₁) + y₁ = y₂
y₂ = m(x₂ - x₁) + y₁
hence, y₂ = m(x₂ - x₁) + y₁ is an equivalent equation solved for y₂.
To know more about linear equation refer to:
brainly.com/question/28732353
#SPJ4
Answer:
C.
Step-by-step explanation:
How do I do this please help
Answer:
C is the correct answer.
Solve to system of linear equations by substitution
y = 2x
x + y = -9
The solution of the system is ( x , y )