You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence
Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.
Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)
After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences
The confidence interval is in the form (L, U)
L = lower bound
L = dbar - t*sd/sqrt(n)
U = upper bound
U = dbar + t*sd/sqrt(n)
I need the answer to solving for x. I dont remember how to do these problems and I can't get it wrong because im in Summer school x/3≤−6
Answer:
x is less than or equal to -18
Step-by-step explanation:
When doing this problem, I had to do -6 x 3 and x/3 x 3. This should cancel out the 3 in x/3, leaving you with just x. -6 x 3 is less or equal to -18. To check, I converted -18/3 into a whole number, which gave me -6. This is true to the original inequality. Hope this helped!
Max and Sven bike away from home in the same direction starting at noon. They bike at constant speeds. Max bikes at xmph and he is ymph faster than Sven. By 4pm, how far ahead of Sven would Max be?
Answer:
Max would be 4y meters ahead by 4pm
Step-by-step explanation:
What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.
Mathematically, distance = speed * time
The time is just the difference between 12 noon and 4pm which is 4 hours
Let’s tackle Max’s
He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters
Now let’s tackle Sven
Sven is biking at a speed which is y mph less than Max’s x mph
Thus his speed would be (x-y) mph
His distance covered would be 4(x-y) meters
Now the difference between their bikes distance at 4pm would be;
4x - [4(x-y)]
= 4x -(4x -4y)
4x -4x + 4y
= 4y
Hence, Max would be 4y meters ahead by 4pm
help me please ? thank you
Answer:
what are you going to do with that?
Please answer this in two minutes
Answer:
Step-by-step explanation:
In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°
Looking at the diagram, angle X and angle W are adjacent angles. It means that
X + W = 180
Since X = 105, then
105 + W = 180
W = 180 - 105 = 75°
Since W = b + 25°, then
b + 25° = 75
b = 75 - 25 = 50°
Answer: In an isosceles trapezoid, two pairs of adjacent angles are supplementary. It means that the sum of the adjacent angles is 180°Looking at the diagram, angle X and angle W are adjacent angles. It means that X + W = 180Since X = 105, then105 + W = 180W = 180 - 105 = 75°Since W = b + 25°, thenb + 25° = 75b = 75 - 25 = 50°
Step-by-step explanation:
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is to select 1,600 voters. If the study were conducted repeatedly (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses?
A. Different sample proportions would result each time, but for sample size 400 they would be centered (have their mean) at the true population proportion, whereas for sample size 1,600 they would not.
B. Different sample proportions would result each time, but for sample size 1,600 they would be centered (have their mean) at the true population proportion, whereas for sample size 400 they would not.
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
D. For either sample size, using the same size each time, as long as the samples are drawn with replacement, they would be centered (have a mean) at 0.
Answer:
C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
Step-by-step explanation:
From the given information;
A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.
A random sample is usually an outcome of any experiment that cannot be predicted before the result.
SO;
One plan is to select 400 voters, another plan is to select 1,600 voters
If the study were conducted repeatedly (selecting different samples of people each time);
Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion. This is because a sample proportion deals with random experiments that cannot be predicted in advance and they are quite known to be centered about the population proportion.
Ami buys x apples and y bananas. The apples cost 15p each and the bananas cost 20p each. The total cost of Ami's apples and bananas is £1.80. a Write an equation for the total cost of Ami's apples and bananas.
Answer:
0.15x + 0.20y = 1.80
Step-by-step explanation:
Here, we are interested in writing an equation for the total cost of the apples and bananas
before we write , kindly understand that 100p = £1
So the cost of apple which is 15p will be 15/100 =£ 0.15
The cost of bananas which is 20p will be 20/100 = £0.2
Thus, the total cost of the apples bought will be number of apples bought * price of apple bought = 0.15 * x = £0.15x
The cost of bananas = number of bananas bought * price of bananas = 0.2 * y = £0.2y
So the total cost of the apples and bananas will be;
0.15x + 0.20y = 1.80
What are the solutions of the equation (x+2)^2-2x(x+2)-15=0? Use u substitution to solve.
Answer:
3
Step-by-step explanation:
Answer: x = -5 and x = 3
Step-by-step explanation:
on edg
Abigail and Liza work as carpenters for different companies. Abigail earns $20
per hour at her company and Liza earns $25 per hour at her company. Last
week, Abigail and Liza worked for a total of 30 hours and together earned atotal of $690. How many hours did Liza work last week?
Answer as detailed as possible. Thanks :)
Answer:
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
Step-by-step explanation:
Given the following :
Abigail's earning = $20
Lisa's earning = $25
Last week :
Let number of hours worked by Abigail = a
Number of hours worked by Lisa = L
Total earning = $690
Total hours worked :
a + L = 30 - - - - (1)
To obtain their total earning:
(Lisa's earning per hour * hours worked) + (Abigail's earning per hour * hours worked)). $690
($25 * L) + ($20 * a) = $690
25L + 20a = 690 - - - - (2)
a + L = 30 - - - - (1)
25L + 20a = 690 - - - - (2)
L = 30 - a
25(30 - a) + 20a = 690
750 - 25a + 20a = 690
-5a = 690 - 750
-5a = - 60
a = 12
From (1)
a + L = 30 - - - - (1)
12 + L = 30
L = 30 - 12
L = 18
L = 18 = hours worked by Lisa
a = 12 = hours worked by Abigail
What is the volume of the following rectangular prism? *picture shown below*
Answer:
27/2 units^3
Step-by-step explanation:
Formula for volume: l * w * h or a * h because l * w = area.
27/5 ( which is area ) * 5/2 ( the height ) = 27/2
i hope this helps
The volume of the following rectangular prism is 27/2 units^3
We know that the rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism = Length X Width X Height
We are given the dimensions as Length = 5/2
Area = 27/5
Here a * h because l * w = area.
Volume = Length X Width X Height
= area X Width
= 27/5 x 5/2
= 27/2
The volume is 27/2 units^3.
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ2
KN is perpendicular bisector of MQ identify the value of x
Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6
Hey loves!!! Can any of you lovely people help me with my math?
Answer:
SAA or AAS
Step-by-step explanation:
∠BAC = ∠BCA Given
∠BDA = 90° and ∠BDC = 90° Given
∠BDA = ∠BDC All 90° angles are congruent
BD = DB Reflexive property
ΔADB = ΔCDB SAA
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle
A rectangular prism has a length of 5 meters, a width of 6 3/4 meters, and a height of 3 1/2 meters. What is the volume of the prism?
Answer:
118.13 m³Step-by-step explanation:
Given,
Length ( l ) = 5 meters
Width ( w ) = [tex]6 \frac{3}{4} [/tex] meters
Height ( h ) = [tex]3 \frac{1}{2} [/tex] meters
Now, Let's find the volume of rectangular prism :
[tex]volume \: = l \: \times \: w \: \times \: h[/tex]
plug the values
[tex] = 5 \times \frac{27}{4} \times \frac{7}{2} [/tex]
Calculate the product
[tex] = \frac{5 \times 27 \times 7}{4 \times 2} [/tex]
[tex] = \frac{945}{8} [/tex]
[tex] = 118.13 \: {m}^{2} [/tex]
Hope this helps..
Best regards!!
ANSWER FOR 30 POINTS A 13-foot ladder is leaning against a tree. The bottom of the ladder is 5 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?
Answer:
12 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.
13 feet - hypotenuse
5 feet - can be a or b
a² + b² = c²
5² + b² = 13²
25 + b² = 169
b² = 144
b = √144
b = 12
The top of the ladder reaches 12 feet up the tree.
Hope that helps.
Answer:
12 ft
Step-by-step explanation:
These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft. The vertical side (height above ground to top of ladder) is to be found. According to the Pythagorean Theorem,
5^2 + (vertical side)^2 = 13 ft = 169, and so
(vertical side) = sqrt( 169 - 25 ) = 144 (ft)
The top of the ladder is s 12 ft above the ground.
Find the interquartile range for a data set having the five-number summary: 3.5, 10.4, 16, 21.7, 27.7
Answer: 17.75
Step-by-step explanation:
The interquartile range(IQR) is the 3rd quartile - the 1st quartile.
How to get quartiles:
First get the median:
3.5, 10.4, 16, 21.7, 27.7
10.4, 16, 21.7
16
Then find the median of the first half of data(3.5, 10.4)
(3.5+10.4)/2 = 6.95
Then find the median of the last half of data(21.7, 27.7)
(21.7+27.7)/2 = 24.7
Then to get the IQR subtract 6.95 from 24.7 to get 17.75
Hope it helps <3
Answer11.3
Step-by-step explanation:
Since there is an odd amount of values
find you lower median by taking the 3 lower numbers and using the middle number 10.4 (Q1)
then find your higher median with the 3 higher numbers and using the middle number 21.7 (Q3)
Then subtract Q3 - Q1
21.7-10.4 giving you the answer 11.3
On a multiple choice test with 13 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.
Select one:
A. 1.875.
B. 1.53.
C. 1.47.
D. 1.5.
E. 1.561.
Answer: E. 1.561.
Step-by-step explanation:
Given, Total choices for each question =4
Probability that a particular answer is correct : p = [tex]\dfrac{1}{4}=0.25[/tex]
Sample size : n= 13
Formula for standard deviation: [tex]\sigma=\sqrt{np(1-p)}[/tex]
Put all values, we get
[tex]\sigma=\sqrt{13(0.25)(1-0.25)}=\sqrt{13(0.25)(0.75)}[/tex]
[tex]\sigma=\sqrt{2.4375}\approx1.561[/tex]
Hence, the standard deviation is 1.561.
So, the correct option is E.
Exercise topic: Permutations and Combinations. A company wants to hire 3 new employees, but there are 8 candidates, 6 of them which are men and 2 are women. If the selection is random: a) In how many different ways can choose new employees? b) In how many different ways can choose a single male candidate? c) In how many different ways can choose at least one male candidate? with procedures. Help me please..
Answer:
(a) 56 ways
(b) 6 ways
(c) 56 ways
Step-by-step explanation:
Given:
candidates: 6 mail, 1 female
number to hire : 3
a) In how many different ways can choose new employees?
use the combination formula to choose r to hire out of n candidates
C(n,r) = C(8,3) = 8! / (3! (8-3)! ) = 40320 / (120*6) = 56 ways
b) In how many different ways can choose a single male candidate?
6 ways to choose a male, one way to choose two female, so 6*1 = 6 ways
c) In how many different ways can choose at least one male candidate?
To choose at least 1 male candidate, we subtract the ways to choose no male candidates out of 56.
Since there are only two females, there is no way to choose 3 female candidates.
In other words, there are 56-0 = 56 ways (as in part (a) ) to hire 3 employees with at least one male candidate.
S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 40, what is the greatest possible value of S minus T
Answer :Answer: Did you get helped on this one?
Step-by-step explanation: okay yup yup have a good day OKAY
Step-by-step explanation: HAVE A GOOD ONE OKAY
what is the value of "c" by completing the square. x^2 - 14x +
Answer:
[tex]\large\boxed{\sf \ \ 49 \ \ }[/tex]
Step-by-step explanation:
Hello,
we need to get the discriminant = 0 meaning
[tex]\Delta = b^2-4ac = 0\\\\<=>14^2-4c=0\\\\<=>c=\dfrac{196}{4}=49[/tex]
And then the square is
[tex]x^2-2\cdot 7\cdot x+7^2=(x-7)^2[/tex]
Hope this helps
What is the slope of the line on the graph below? On a coordinate plane, a line goes through points (negative 2, negative 3), (negative 1, negative 1), (0, 1) and (1, 3). –One-half One-half 1 2
Answer:
2
Step-by-step explanation:
We can use 2 points to find the slope
m = (y2 -y1)/(x2-x1)
Using ( 0,1) and (1,3)
= (3-1)/(1-0)
= 2/1
= 2
Answer:
2
Step-by-step explanation:
Take any two points -- I'm using (0, 1) and (1, 3). You can think of slope as (change in y)/(change in x), or simply rise/run. (3-1)/(1-0) is equal to 2.
*Note: (-1/2,1/2) is not in the same line as the other four points.
Represent the expression (1×10,000)
Answer:
10,000
Step-by-step explanation:
1 * 10,000 = 10,000
Answer:
10000 = 1 *10^4
Step-by-step explanation:
1* 10000
10000
In scientific notation
There are 4 zeros
1 * 10 ^4
Calculate NL if a=25, b=27.73, and c=12
Answer:
NL=10.82
Step-by-step explanation:
Start by finding the area of the triangle. We do this by using c as the base.
1/2bh=1/2(12)(25)=150
Now that we know the area is 150, we turn the triangle so b is the base and use the formula again. This time we’re looking for the height, which is NL.
1/2bh=
1/2(27.73)h=150
13.865h=150
h=10.8186
Rounded to the nearest hundredth, it’s NL=10.82
Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3
Answer:
interquartile range=20.55
Step-by-step explanation:
5.6, 11.1, 19.2, 24.5, 33.3
median is 19.2
Q1=(5.6+11.1)/2=8.35
Q3=(24.5+33.3)/2=28.9
interquartile range= Q3-Q1=28.9-8.35=20.55
In rectangle ABCD the diagonals intersect each other at point O and m∠ABD=30°. Find BC if AC = 16 in....
Answer:
BC = 8
Step-by-step explanation:
16 ( sin 30 degrees ) = BC
16 (0.5)
16/2
BC = 8
Give the other person brainliest they deserve it.
ASAP! I really need help with this question! Please do not send nonsense answers. Full solutions please!
Answer:
first option
Step-by-step explanation:
Given
[tex]\frac{15}{x}[/tex] + 6 = [tex]\frac{9}{x^2}[/tex]
Multiply through by x² to clear the fractions
15x + 6x² = 9 ( subtract 9 from both sides )
6x² + 15x - 9 = 0 ( divide through by 3 )
2x² + 5x - 3 = 0 ← in standard form
Consider the factors of the product of the coefficient of x² and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to slit the x- term
2x² + 6x - x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x + 3) - 1(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(2x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5
Solution set is { - 3, 0.5 }
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{F(x)>0}[/tex]
Step-by-step explanation:
The range is the set of possible values of y (the output).
The input value x is all real numbers, because there are no restrictions on x.
When the input x is all real numbers, the output is always greater than 0.
[tex]2^{-15}= 0.00003051757[/tex]
[tex]2^{8}= 256[/tex]
[tex]2^{-4}= 0.0625[/tex]
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm, end text long.
Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
A car manufacturer wants to analyze the safety features of 7 different car models by comparing each model with every other model. If each comparison costs $4,000, how much will the manufacturer spend altogether?
Answer:
28,000
Step-by-step explanation:
multiply 7 cars with 4,000
Now that you know the total skid distance (3.8 ft), use the skid-distance formula to find how fast the car was going before it started skidding. How fast was the car traveling before it started skidding? s= sqrt (30 * drag factor * skid distance * braking efficiency)
s= speed
drag factor= 0.90
skid distance= 3.8
braking efficiency= 80% or 0.80
Answer:
9.1 mph
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
s = √(30×drag factor×skid distance×braking efficiency)
s = √(30×0.90×3.8×0.80) = √82.08 ≈ 9.06
The car was traveling about 9.1 mph before it started skidding.
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)
Answer:
A ( -4, -7)
Step-by-step explanation:
if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )
Answer:
A.
Step-by-step explanation: