Answer:
13.7
Step-by-step explanation:
-4.5 - -18.2 = 13.7
How do you do this problem?
Answer:
400
Step-by-step explanation:
│an − L│< ε
│2 + (-1)ⁿ/√n − 2│< 1/20
│(-1)ⁿ/√n│< 1/20
1/√n < 1/20
√n > 20
n > 400
What is 38% of 232? around to the nearest tenth.
Answer: 88.2
..........................
A company in Maryland has developed a device that can be attached to car engines, which it believes will increase the miles per gallon that cars will get. The owners are interested in estimating the difference between mean mpg for cars using the device versus those that are not using the device. The following data represent the mpg for random independent samples of cars from each population. The variances are assumed equal and the populations normally distributed. With Device Without Device 22.6 26.9 23.4 24.4 28.4 20.8 29.0 20.8 29.3 20.2 20.0 26.0 28.1 25.6 Given this data, what is the observed value of the test statistic for the difference in mean mpg? About 0.72 About 2.18 About 25.45 mpg None of the above
Answer:
About 0.72
Step-by-step explanation:
Given the data:
With device : 22.6, 23.4, 28.4, 29, 29.3, 20.0
Without device :26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6
Using calculator:
With device data:
Sample size (n1) = 6
Degree of freedom (df1) = 6 - 1 = 5
Mean(m1) = 25.45
Variance (s²1) = 15.631
Without device data:
Sample size (n2) = 8
Degree of freedom (df2) = n - 1 = 7
Mean (m2) = 24.1
Variance (s²2) = 9.54
s²t = ((df1/(df1 + df2)) * s²1) + ((df2/(df1 + df2)) * s²2)
s²t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)
= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775
s²m1 = s²t/n1 = 12.0775/6 = 2.0123
s²m2 = s²t/n2 = 12.0775/8 = 1.511
T - statistic :
Tstat = (m1 - m2)/√(s²m1 + s²m2)
Tstat = (25.45 - 24.10) / √(2.0123 + 1.511)
Tstat= 1.350/√3.5233
Tstat = 1.350 / 1.8770455
Tstat = 0.7192153 = 0.72
In this exercise we want to use the knowledge of statistics and probability to calculate the statistical test that counts:
[tex]0.72[/tex]
First, we have to separate the data informed in the text and analyze it, like this:
With device : [tex][22.6, 23.4, 28.4, 29, 29.3, 20.0][/tex] Without device : [tex][26.9, 24.4, 20.8, 20.8, 20.2, 26.0, 28.1, 25.6][/tex]
Now doing with the device data calculations, we will find that:
Sample size ([tex]n_1[/tex]) = 6 Degree of freedom ([tex]df_1[/tex]) = 5 Mean ([tex]m_1[/tex]) = 25.45 Variance ([tex]s^2_1[/tex]) = 15.631
Now doing without device data calculations, we will find that:
Sample size ([tex]n_2[/tex]) = 8 Degree of freedom ([tex]df_2[/tex]) = 7 Mean ([tex]m_2[/tex]) = 24.1 Variance ([tex]s^2_2[/tex]) = 9.54
So to calculate the variance of the population we will use the data given above:
[tex]s~2t = ((df_1/(df_1 + df_2)) * s^2_1) + ((df_2/(df_1 + df_2)) * s^2_2)\\s^2t = ((5/(5+7)*15.63) + ((7/(5+7))*9.54)\\= ((5/12) * 15.63) + ((7/12) * 9.54) = 12.0775\\s^2m_1 = s^2t/n_1 = 12.0775/6 = 2.0123\\s^2m_2 = s^2t/n_2 = 12.0775/8 = 1.511[/tex]
For the calculation of the statistical test, we found that:
[tex]Tstat = (m_1 - m_2)/\sqrt{(s^2m_1 + s^2m_2)} \\Tstat = (25.45 - 24.10) / \sqrt{(2.0123 + 1.511)} \\Tstat= 1.350/\sqrt{3.5233} \\Tstat = 1.350 / 1.8770455\\Tstat = 0.7192153 = 0.72[/tex]
See more about statistics at brainly.com/question/10951564
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6,5).
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = [tex]\frac{9}{7}[/tex]
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
x, y = [tex]\frac{2 + (-6)}{2}[/tex] , [tex]\frac{-3 + 5}{2}[/tex] = -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]
So,
1 = [tex]\frac{9}{7}[/tex] x (-2) + c
c = 1 + [tex]\frac{18}{7}[/tex] = [tex]\frac{25}{7}[/tex]
Now, the equation of the line is;
y = -2x + [tex]\frac{25}{7}[/tex]
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
Please answer this for me!!:)))) it’s due rn!!!! least to greatest question 7th grade
Answer:
1st 2nd 3rd
Step-by-step explanation:
Answer:
C, B, A
Step-by-step explanation:
Cs answer will be negative making it automatically the least
B when multiplied will equal 6/25. when you divide that you get 0.24
A you just multiply the 2 together to get 7.68
Exponent 4 Square root of 27
Answer:
27 1/4
Step-by-step explanation:
use n√ax = a x/n to rewrite 4√27 as 27 1/4.
Started business whit cash Rs 250000 and Machinery Rs 200000
Accounting equation
[tex]\huge\purple{Answer}[/tex]
In case there is no double entry system is followed, profit can be calculated by comparing the opening and closing capital. In the given situation this can be calculated as:
Opening Capital Rs.200000
Add: Capital Introduced Rs.200000
Add: Profit for the year Rs. 250000
Less: Loss for the year Rs.NIL
Less: Drawings Rs. 30000
--------------------
Capital at the end of the year Rs.620000
-------------------
Loan taken is a liability and loan given is asset, that will not affect the capital.
ƑƠԼԼƠƜ MЄ❤Evaluate x^2 y for x = -5 and y = 3.
-75
-15
75
[tex]x = - 5[/tex]
[tex]y = 3[/tex]
_________________________________
[tex] {x}^{2} \times y = ({ - 5})^{2} \times 3 = 25 \times 3 = 75 \\ [/tex]
Done♥️♥️♥️♥️♥️
20 points
What is the domain and range for this function? Use interval notation.
O a. Domain:(, ) Range:[0,-)
ООС
O b. Domain:[0,-) Range:(...)
Domain:(, ) Range:[-2.)
O d. Domain:(, ) Range:(,0)
Answer:
a
Step-by-step explanation:
because Domain and Range
7 to the power of -3
Answer:
one over 343 hope this helps
Step-by-step explanation:
Which table shows y as a function of x?
Answer:
It’s (H)
Step-by-step explanation:
1 kilogram (kg) = 2.2 pounds (lbs)
1)50 kilograms to pounds
2)50 pounds to kilograms
Answer:
1) 50 Kg = 110 Ibs
2) 50 Ibs = 250/11 Kg
Step-by-step explanation:
Let us use the ratio method to solve this question
1)
→ Kg → Ibs
→ 1 → 2.2
→ 50 → x
By using cross multiplication
∵ 1 × x = 50 × 2.2
∴ x = 110 Ibs
∴ 50 Kg = 110 Ibs
2)
Similar we can find the other part
→ Kg → Ibs
→ 1 → 2.2
→ y → 50
By using cross multiplication
∵ y × 2.2 = 1 × 50
∴ 2.2y = 50
→ Divide both sides by 2.2 to find y
∴ [tex]\frac{2.2y}{2.2}=\frac{50}{2.2}[/tex]
∴ y = 250/11 Kg ⇒ 22.7272 Kg
∴ 50 Ibs = 250/11 Kg
A clothing store reduce the price of a shirt by 25% to 27%. What is the original price of the Shirt
For the sequence 2, 6, 10, 14,. . .
a) Write the recursive rule:
b) Write the explicit rule:
Choose the inequality that Caroline's hair is
7 inches long and grows about 1/5 inch each month. Trinity's hair is 10 inches long and
grows about 1/10 inch each month. How many months will it take for Caroline's hair to be
at least as long as Trinity's hair?*
Answer:
7 +1/5x ≥ 10 +1/10x . . . . . lower left picture of those shown here
Step-by-step explanation:
Caroline's hair length in inches can be expressed as ...
c = 7 + 1/5x . . . . after x months
Trinity's hair length in inches can be expressed as ...
t = 10 + 1/10x . . . . after x months
When Caroline's hair is at least as long as Trinity's, we have ...
[tex]c\ge t\\\\\boxed{7+\dfrac{1}{5}x\ge 10+\dfrac{1}{10}x}[/tex]
County Wexford in Ireland is 10 feet below sea level Dublin Ireland’s capital is 289 feet higher than this
Answer:
239
Step-by-step explanation:
Answer:
The answer is 279.
Step-by-step explanation:
What is the slope of the line shown?
Answer:
The slope is 2, or 2/1
Step-by-step explanation:
If you count the rise/run, you get 4/2, which simplifies to 2/1, which is the same as 2.
What is the product of the GCF and LCM of 16 and 24?
Answer:
48
Step-by-step explanation:
16= 2×2×2×2=2^4
(I just put this here because I needed 20 characters so yeah...)
please do 10 and 11
20 points!!!
Answer:
10. It will take 14 minutes for the balloon's elevation to change by -315 feet
11. mm I'm not sure but this answer was on Brainly before and they got 4 1/2 hours
Step-by-step explanation:
Hope this helps sorry I took long lol
if a cliff 3ft above the sea level and the sea level is 0
how far is the cliff from
the sea level
Answer:
3ft bruh thx for points
Step-by-step explanation:
Which angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA?
∠CBA
∠CBE
∠DAC
∠BCF
Answer:
cbe
Step-by-step explanation:
The angle whose measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE, the correct option is B.
What is an Angle?An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.
The angle whose measure is less than 90 degree is called the acute angle, whose measure is equal to 90 degree is called right angle, the angle whose measure is greater than 90 degree is called obtuse angle.
The ∠BAC and ∠BCA are the interior angles of the triangle,
According to the theorem of exterior angle, The measure of the exterior angle is equal to the sum of the two opposite interior angles.
The sum of the angles, ∠BAC and ∠BCA is equal to the opposite exterior angle, i.e. ∠CBE
∠CBE = ∠BAC + ∠BCA
Your question seems incomplete, the complete question is attached with the answer.
To know more about Angle
https://brainly.com/question/13954458
#SPJ5
Find the value of x.
The answer choices are: 5, 7, 3, 11, 9
x = 3
Step-by-step explanation:Hi there !
DBC + CBV = 180°
DBC + BDC + DCB = 180° }=> VBC = BDC + DCB
replace
20x + 5 = 9x - 2 + 40
solve the equation
20x - 9x = 40 - 2 - 5
11x = 33
x = 33 : 11
x = 3
Good luck !
Plzzz help meeeeeeee
(8x +10) = (6x +3) °
Answer:
The answer would be
[tex]x=\frac{-7}{2}[/tex]
Answer:
-3.5
Step-by-step explanation:
Which equation is represented by the graph below?
Answer:
B.
Step-by-step explanation:
The lines positioning shows a negative slope already, so it cant be C or D
Slope is a rise over run basis. You can check this just from points alone, the line would be much steeper if the slope was -2.
Hope this helps!
which one ? Help please fast
If f(x) = 6x2 - 4 and g(x) = 2x + 2, find (f - g)(x).
Please help! It is algebra 1
12x^3+12x^2-8x-8
This is because you use the distributive property and you put g(x) first because you go from the inside out.
Help I need answers don’t know the answer
The psychology club is having a self-proclaimed psychic come to their campus fund-raising event to demonstrate his abilities. He charges $200 for these events, and the club is charging 51.50 for
tickets with a chance to have the psychic read the ticket holder's mind.
Let x represent the number of tickets sold and y represent money. Fill in the items below for the linear model
Y=? X +?
How much would the club gain or lose by selling 100 tickets?
How many tickets are needed to break even? (Round to nearest whole ticket)
The ski team needs new uniforms. The students plan to sell plush toy eagles (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 18 eagles for $49.32. Company B sells 16 eagles for $43.36. Company C charges $41.55 for 15 eagles. Which company has the best buy?
Answer:
i think b im not sure but i think
Answer:
Company B
Step-by-step explanation:
A. 18e = 49.32 e = 2.74
B. 16e = 43.36 e = 2.71
C. 15e = 41.55 e = 2.77