Evaluate the function x=2 g(x)=-4x
Answer:
g(2)= -8
Step-by-step explanation:
g(2)= -4(2)
g(2)= -8
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]
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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
Find the domain of the function expressed by the formula: b y= 1/x −7
Answer:
All real numbers except 7
Step-by-step explanation:
Suppose a hawk can fly 78 miles in 3 hours. An owl can fly 99 miles in 4 hours. Which raptor can fly faster and by how much?
Answer:
The Hawk can fly faster
Step-by-step explanation:
First, take 78/3 that will give you the miles per hours the hawk flys.
78/3 = 26 miles/ per hour
Then, do the same for the owl.
99/4 = 24.75 miles an hour.
To find out how much faster the hawk in than the owl suntract the owls miles per hour from the hawks miles per hour.
24.75 - 26 = 1.25 miles faster
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
What is the image point of (4,-7) after a translation of right 4 units and up 5 points
Answer:
(8,2)
Step-by-step explanation:
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
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]
For the sequence 2, 6, 10, 14,. . .
a) Write the recursive rule:
b) Write the explicit rule:
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♥️♥️♥️♥️♥️
What is the value of -2.4 /1.5?
A -1.6
B. 1.6
C. -0.9
While visiting an orchard, the Williams family picked 98 apples, 49 oranges, 52 lemons, and 103 limes.
Approximately how much fruit did the family pick in total that day?
Answer:
302
Step-by-step explanation:
should be 302 (98+49+52+103) but I would check to make sure all the things listed are considered fruit
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❤7 to the power of -3
Answer:
one over 343 hope this helps
Step-by-step explanation:
Which of the following does not represent a function?
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
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...)
Plzzz help meeeeeeee
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
The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.488 , find c
Answer:
52.4 min
Step-by-step explanation:
100% of the times are between 49.2 min and 55.5 min.
48.8% of the times are between x and 55.5 min.
Write a proportion:
(55.5 − 49.2) / 1 = (55.5 − x) / 0.488
0.488 (55.5 − 49.2) = 55.5 − x
3.0744 = 55.5 − x
x = 52.4256
Rounded to the tenths place, the time is 52.4 min.
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:
Weather updates every 18 minutes. First update was 2 PM and you turned on the radio at 5:30 . How long til the next update
Answer: 8:30 maybe
Step-by-step explanation:
Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much will they charge?
Answer:
$136.88
Step-by-step explanation:
$356.99
-$220.00
________
$136.88
Therefore that would be the remainder.
Hope this helped : )
Answer:
They will charge $136.88
Step-by-step explanation:
Elizabeth is correct.
Findinf the remainder in this situation means finding the difference (subtraction)
356.88 - 220 = 136.88
Chris Butcher earns $21,423 per year. His
personal exemptions include himself, his
wife, and their son. The state tax rate in
his state is 4.5 percent of taxable income.
What amount is withheld yearly for state
income tax?
Answer:
Step-by-step explanation:
3p -3= 8p+5 need help please
Answer:
[tex]\frac{8}{5} -= p[/tex]
Step-by-step explanation: 3p -3 =8p + 5 3 +5 =8p -3p 8=5p [tex]\frac {8}{5}- = p[/tex]
Answer:p=-8/5
Step-by-step explanation:simplify
subtract -8p from both sides
simplify
divide by -5
p=-8/5
What will a $210,000 house cost 10 years from now if the inflation rate over that period averages
%3 compounded annually? $282, 222.44
The cost of the house 10 years from now in the case when inflation rate should be 3% is $282,222.44.
Calculation of the cost of house:Since
The house cost is $210,000
The time period is 10 years
And, the rate of interest is 3%
So,
[tex]= \$210,000 \times (1 + 0.03)^{10[/tex]
= $282,222.44
Hence, The cost of the house 10 years from now in the case when inflation rate should be 3% is $282,222.44.
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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
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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.