Answer:
B) the entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
Step-by-step explanation:
Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid. Therefore, option D is the correct answer.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
A confidence interval is used to estimate an unknown population parameter, such as the mean, from a sample. It does this by providing a range of values within which the true population parameter is likely to lie. To use a confidence interval, the assumptions of the underlying distribution must be valid. In this case, the distribution of the ages of the Swiss and Austrian psychiatrists is likely to be skewed, meaning that it does not follow a bell shaped distribution. This makes the assumptions for using the confidence interval formula invalid and thus the procedure is not appropriate in this context.
Therefore, option D is the correct answer.
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Order each group of fractions from greatest least
Answer:
3/5, 1/5, 1/6
Step-by-step explanation:
3/5 is greater than 1/5 and is the largest of these three fractions.
Comparing 1/5 and 1/6, realize that the larger the denominator, the smaller the value of the fraction. Thus, 1/5 is greater than 1/6.
Then, in order from greatest to least: 3/5, 1/5, 1/6
Performing a Rotation in the Coordinate Plane
Fill in the missing numbers to make each rotation true
Figure WXYZ is rotated 90° clockwise around the
origin to form figure W'X'Y'Z'.
Answer:
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
Step-by-step explanation:
Let me give you a quick brief of how to master rotations!!
You need to understand the formula and positioning rules
The formulas shall be given by teachers or looked up!
*** BUT THE SHAPE POSITIONING RULES MATTER!!
-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.
The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)
The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!
They want you to graph it by W'X'Y'Z
The ' is prime which is the new position/coordinate
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
That is the rotation 90 degrees clockwise coordinates!!
***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**
Counterclockwise is pretty similar but the opposite direction with different rules!
**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**
Evaluate the Expression
25y-(-13)= type your answer....
when y = 7
Answer:
188
Step-by-step explanation:
25(7)-(-13)
=175 - 1(-13)
=188
is this right?????? or not if it's not what's the correct answer (mark brainiest)
Answer:
Yes.
Step-by-step explanation:
You always do the operations in parenthese first.
"The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)." -khanacademy . org > ...> order of operations
Answer:
B. (20 ÷ 4 - 2 + 1)
Solved, the equation equals 29.
Step-by-step explanation:
Order of operations: PEMDAS
Parantheses
Exponents
Multiplication
Division
Addition
Subtraction
9 + 5 × 2(20 ÷ 4 - 2 + 1)
The first step would be to do the operations inside the parantheses.
9 + 5 × 2(20 ÷ 4 - 2 + 1)
So,
(20 ÷ 4 - 2 + 1)
There are several operations, so lets look at PEMDAS again..
Okay, so we dont have any exponents, or multiplication inside the parantheses, so next step is divide.
(20 ÷ 4 - 2 + 1)
20 ÷ 4 = 5
So, we replace '20 ÷ 4' with '5'
(5 - 2 + 1)
Next, we add.
(5 - 2 + 1)
2 + 1 = 3
Now, replace '2 + 1' with '3'
(5 - 3)
Now, we just subtract 3 from 5.
5 - 3 = 2
So now our equation looks like this:
9 + 5 × 2(2)
Now, we have to do the parantheses again. But this time we are going to treat the parantheses as a multiplication symbol:
9 + 5 × 2(2) → 2 × 2 = 4
↓
9 + 5 × 4
Now, we have to multiply.
9 + 5 × 4 → 20
↓
9 + 20 = 29
So, when you solve the equation, you get 29.
From the information in the diagram, what is m ∠G?
Answer:
107⁰
Step-by-step explanation:
The m<g =107⁰
I hope it helped you
The measure of the angle ∠PGL will be equal to 107 degrees.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
In triangles ΔPGL and ΔNHE,
PG = NH (given)
GL = HE (given)
If the angle ∠PGL and ∠NHE become congruent, the triangle ΔPGL and ΔNHE will be congruent to each other.
∠PGL = ∠NHE
∠PGL = 107°
The measure of the angle ∠PGL will be equal to 107 degrees.
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find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
simply the difference of 8w^2 -8w - 6) -(3w^2 +7w - 4)
Answer:
can you post the question I don't understand
on a map, 1 inch equals 15 miles. two cities are 6 inches apart on the map. what is the actual distance between the cities?
1 inch= 15 miles
to find:the distance between the cities
solution:1 in/ 15 miles = 6 in/ x miles
applying cross products:
1 * x = 15 *6
x= 90
so, the distance betwixt the cities is 90 miles.
What is 4 – 12? −16 −8 8 16
please help
Answer: -8
Step-by-step explanation:
find the value of a and b if 1/(x^2)-3x-10=a/(x+2)+b/(x-5)
Answer:
Step-by-step explanation:
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Answer:
[tex]x^2[/tex] + 9x + 8 = 0
Step-by-step explanation:
First, we have to simplify this quadratic equation:
(x+2)^2 + 5(x+2) - 6 = 0
x^2 + 4x + 4 + 5x + 10 - 6 = 0
x^2 + 9x + 8 = 0
An isosceles right triangle has a hypotenuse of 16mm what would the area of the triangle be
Answer: 64 square mm
Step-by-step explanation:
Please answer number 8. I need help, I don’t understand.
Answer:
A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.
Step-by-step explanation:
Please help it’s due soon
Answer:
D) 30
Step-by-step explanation:
AB is the diameter of the circle
AB = AE + EB
= 25 + 9
= 34
OB, OC and OD are all the radius of the circle.
Radius = half the diameter
Therefore, OB = OC = OD = 34 ÷ 2 = 17
ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE
OE = OB - 9
= 17 - 9
= 8
Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]
(where a is one of the congruent side lengths and h is the height)
[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]
[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]
[tex]\implies CD=30[/tex]
Find the area of a regular octagon with an apothem length of 10 and a side length of 6.
Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = [tex]\frac{1}{2}[/tex] × 48 × 10 = 24 × 10 = 240 units²
Answer:
Step-by-step explanation:
Preliminary task
Draw a regular octagon.
Draw a perpendicular from the side's midpoint to the center. (That is the apothem).
Draw two radii from the center of the side to the center of of the octagon. The endpoints of these two radii is the endpoints of the octagon's side.
The octagon has 8 such triangles.
Area one triangle
Area = 1/2 * side * apothem
side = 6
apothem = 10
Area = 1/2 6 * 10
Area = 30
Area of 8 such triangles.
Area = 8 * area of 1 triangle
area 1 triangle = 30
Area of 8 such triangles = 30*8 = 240
Answer 240
The following histogram shows the number of minutes that 29 students took to complete an exam.
Based on this histogram, about 10% of students took less than
minutes to complete the
exam.
Time spent taking an exam
12
10
Frency
9
.
20
Using the histogram, it is found that about 10% of students took less than 40 minutes to complete the exam.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
Researching the problem on the internet, it is found that the histogram states that:
One student completed the test in less than 10 minutes.Two students took between 30 and 40 minutes to complete the test.10% of 29 is approximately 3, hence about 10% of students took less than 40 minutes to complete the exam.
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Help me in this graph question please
Answer:
D
Step-by-step explanation:
In the first year the height of the plant is 3 feet, the second year is 6 feet etc.
3. Explain the relationship between area and square units
Answer:
In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.
4. Evaluate and then express 2(11 x 10') in the form A X 10" where Is A < 10 and n is an integer
Answer:
Step-by-step explanation:
hello : 2,2×10² where : A =2,2 ( A < 10) qnd n =2 (is integer)
An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank statement to his register, he notices an outstanding debit of $58.00. which shows the correct amount in carl’s checking account? $51.75 $109.75 $167.75 $221.87
The correct amount in carl’s checking account will be $51.75. Then the correct option is A.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
An account statement has a balance of 109 dollars and 75 cents.
Carl is balancing his checking account.
After comparing the bank statement to his register, he notices an outstanding debit of $58.00.
Then the correct amount in carl’s checking account will be
→ 109.75 - 58 = $ 51.75
More about the subtraction link is given below.
https://brainly.com/question/4319655
Answer:
Step-by-step explanation:
a
what's the answer to this question and how do I solve it?
Answer:
80 gummy bears are in 4 servings.
Step-by-step explanation:
2 servings=40 gummy bears
3 servings=60 gummy bears
40+20=60
Add 20 gummy bears for every serving.
5 servings=100 gummy bears
100-20=80 gummy bears are in 4 servings
OR you can also do:
40÷2=20 gummy bears are in each serving
So, 4x20=80 gummy bears are in 4 servings
Please help ASAP! 20 points!!
Answer:
They are increasing at the same rate.
Three tennis balls are stored in a cylindrical can with
a height of 8 inches and a radius of 2 inches. Each
tennis ball has a radius of 1 inch. What is the
amount of volume not taken up by the tennis balls
in the can? Use 3.14 for n. Round your answer to the
nearest tenth.
4 in
Answer:
87.9 in³
Step-by-step explanation:
Volume of the can
V = πr²h [volume of a cylinder]V = 3.14 x 2 x 2 x 8V = 3.14 x 32V = 100.48 in³Volume of 3 tennis balls
V = 4/3πr³ [volume of one sphere]V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]V = 4 x 3.14V = 12.56 in³Remaining space
Volume of can - Volume occupied by 3 tennis balls100.48 - 12.5687.92 in³ ⇒ 87.9 in³When you are analyzing the relationship between two continuous variables, how should you plot the data?.
Answer:
Scatterplot.
Step-by-step explanation:
Scatterplots help in analyzing the relationship between two continuous variables
Explain how you could calculate the surface area of a square pyramid
There are two different ways to find surface area of square pyramid
1st
If you are given the slant height and the side length[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]
a = side lengthl = slant height2nd
If you are given the height and the side length[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]
a = side lengthh = heightAnswer:
sample response
Step-by-step explanation: :)
You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.
2(x - y)2 - 9(x - y) + 10
Answer:
Step-by-step explanation:
hello :
2(x - y)2 - 9(x - y) + 10
calculate : 2(x²-2xy+y²) -9x+9y +10 = 2x²-4xy +2y²-9x+9y+10
what is the answer 58×100 =
a. 1220
b.1555
c5678
d5800
Answer:
Answer D is correct
Step-by-step explanation:
Let us solve this now.
58
× 100
000
00
+ 58
= 5800
------------------------------------------------------------------------------------------
Let us solve this sum in a different way.
If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.
58 × 100 = 5800
7) Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%, how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$100.8
Step-by-step explanation:
1.What is the theoretical probability of popping a striped balloon?
2.What is the experimental probability of not popping a polka dot balloon?
18 solid balloons, 5 polka dot balloons and 17 striped balloons
The probability of popping a balloon is the likelihood of the balloon
The theoretical probability of popping a stripped balloon is 1/3The experimental probability of not popping a polka dot is 0.875How to determine the probability?The given parameters are:
Solid balloons = 18Polka dots = 5Stripped balloons = 17There are three balloons.
So, the theoretical probability of popping a stripped balloon is:
P = 1/3
The experimental probability of not popping a polka dot is calculated as:
P = 1 - P(Polka dot)
This gives
P = 1 - 5/40
Evaluate
P = 0.875
Hence, the experimental probability of not popping a polka dot is 0.875
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Henry has scored 30, 29, 22, and 21 points in his four basketball game so far. How many points does he need to score in his next game so that his average mean is 24 points per game
Answer:
20
Step-by-step explanation:
I think
sorry
The required Henry needs to score 18 points in his next game to have an average of 24 points per game.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
average = sum of all scores/number of scores
We know that Henry has played four games so far, and his scores are 30, 29, 22, and 21 points. Therefore, the sum of his scores is:
sum of scores = 30 + 29 + 22 + 21 = 102
Let's assume that Henry scores x points in his next game. Then, his total score for all five games will be,
total score = 102 + x
If his average is 24 points per game, we can set up the equation:
24 = (102 + x) / 5
120 = 102 + x
x = 18
Therefore, Henry needs to score 18 points in his next game to have an average of 24 points per game.
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