Answer:
The point of estimate for the true difference would be:
[tex] 186-171= 15[/tex]
And the confidence interval is given by:
[tex] (186-171) -1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= -10.753[/tex]
[tex] (186-171) +1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= 40.753[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \bar X_1 = 186[/tex] the sample mean for the first sample
[tex] \bar X_2 = 171[/tex] the sample mean for the second sample
[tex]s_1 =33[/tex] the sample deviation for the first sample
[tex]s_2 =23[/tex] the sample deviation for the second sample
[tex]n_1 = 8[/tex] the sample size for the first group
[tex]n_2 = 7[/tex] the sample size for the second group
The confidence interval for the true difference is given by:
[tex] (\bar X_1 -\bar X_2) \pm t_{\alpha/2}\sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}[/tex]
We can find the degrees of freedom are given:
[tex] df = n_1 +n_2 -2 =8+7-2= 13[/tex]
The confidence level is given by 90% so then the significance would be [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2=0.05[/tex] we can find the critical value with the degrees of freedom given and we got:
[tex] t_{\alpha/2}= \pm 1.77[/tex]
The point of estimate for the true difference would be:
[tex] 186-171= 15[/tex]
And replacing into the formula for the confidence interval we got:
[tex] (186-171) -1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= -10.753[/tex]
[tex] (186-171) +1.77 \sqrt{\frac{33^2}{8} +\frac{23^2}{7}}= 40.753[/tex]
Convert the angle \theta=260^\circθ=260
∘
theta, equals, 260, degrees to radians.
Express your answer exactly.
\theta=θ=theta, equals
radians
Question:
Convert the angle θ=260° to radians.
Express your answer exactly.
θ = ___ radians
Answer:
260° = 13π/9 or 4.54 rad
Step-by-step explanation:
Given
θ=260°
Required
Convert from degree to radians
To convert an angle in degrees to radians, we simply follow the steps below.
1° = 1 * π/180 rad
Replace the 1° with x
So,
x° = x * π/180 rad.
Now, we assume that x = 260
This means that we substitute 260 for x. This gives
260° = 260 * π/180
260° = 260π/180
Divide numerator and denominator by 20
260° = 13π/9
We can leave the answer in this form or solve further.
Take π as 22/7. This gives
260° = 13/9 * 22/7
260° = 286/63
260° = 4.5396825397
260° = 4.54 rad (Approximated)
The value of an angle 260 degree into radians is,
⇒ 260 degree = 13π/9 radians
WE have to given that,
To convert an angle 260 degree into radians.
Now, WE know that;
1 degree = π/180 radians
Hence, We can convert an angle 260 degree into radians as,
1 degree = π/180 radians
260 degree = 260 x π/180 radians
260 degree = 13π/9 radians
Thus, WE get;
260 degree = 13π/9 radians
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Daniel buys an ice cream sundae for $4.88 and is given $15.12 as change. Which equation represents the situation if x is the amount Daniel had before he bought the ice cream sundae?
Answer:
X = 4.88 + 15.12 or X - 4.88 = 15.12
So, Daniel had 20 dollars before he brought the ice cream sundae
For the data 20, 40, 50, 20, 10, 70. What is there mean absolute deviation?
Answer:
18.333
Step-by-step explanation:
3+ 5x = 3
Slove for x
Answer:
x=0
Step-by-step explanation:
3+ 5x = 3
Subtract 3 from each side
3-3+ 5x = 3-3
5x = 0
divide each side by 5
5x/5 = 0/5
x = 0
Find the HEIGHT of the rectangular prism given its surface area is 238 square yards.
Answer:
Height = 5
Step-by-step explanation:
George calculated the distance between (2, 4) and (6, 3) using the distance formula. His work is shown below. 1. d = StartRoot (6 minus 2) squared + (3 minus 4) squared EndRoot. 2. d = StartRoot (4) squared + (negative 1) squared EndRoot. 3. d = StartRoot 16 + 1 EndRoot. 4. d = StartRoot 17 EndRoot Analyze George’s work. Is he correct? If not, what was his mistake? Yes, he is correct. No, he substituted values in the wrong places. No, he didn’t use the proper order of operations. No, he evaluated the powers incorrectly. will mark brainliest
Answer:
Yes, he is correct
Step-by-step explanation:
d = sqrt[(6-2)² + (3-4)²]
d = sqrt[4² + (-1)²]
d = sqrt(16 + 1)
d = sqrt(17)
Answer:
A
Step-by-step explanation:
Yes he is correct.
he didn't substitute the values in the wrong places.
he did use the proper order of operations.
he didn't evaluate the powers incorrectly.
Therefore, A is correct.
Translate to an equation, then solve.
Nineteen less than eight times a number is equal to 11 more than six times the number. What is the number?
Answer:
Step-by-step explanation:
8x - 19 = 6x +11
2x - 19 = 11
2x = 30
x = 15
Answer:
c
Step-by-step explanation:
If I'm looking at buying a house for $450,000, and want my deposit to be
20%, how much do I need to have saved?
A) 50,000.00
B) Your deposit needs to be higher than 20%
C) 52,000.00
D)90,000.00
Answer: 90,000
Step-by-step explanation:
What is 3/4 - 1/2
Please help
Answer:
1/4
Step-by-step explanation:
1/2 is also equal to 2/4 since 2 is half of 4 so 3/4 minus 2/4 will get you 1/4
Please give brainliest :3
Answer:
1/4
Step-by-step explanation:
3/4 - 1/2
Get a common denominator
3/4 -1/2*2/2
3/4 - 2/4
1/4
If Sarah irons 12 shirts in 18 minutes. Write a two linear equation that represents the number of small shirts she can iron in any given time interval (t).
Answer:
s = 2/3t
Step-by-step explanation:
For some time (t) in minutes, Sarah can iron "s" shirts:
s = (12/18)t
s = 2/3t
_____
If you need to, you can start with a proportion:
shirts/minutes = s/t = 12/18
Then multiply by t to get the above equation.
4. Jane and Terry went to Long Island for a week. They needed to rent a car, so they checked out two rental firms. Avis wanted $28 per day with no mileage fee. Hertz wanted $108 per week and $0.14 per mile. How many miles would they have to drive before the Avis price is less than Hertz’s price?
Answer:
Anything more than 89.8 miles
Step-by-step explanation:
Since Hertz charges $108/week, divide that by 7 so you have the daily rate.
Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.
12.57 = .14x Then divide both sides by .14 x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.
how do i solve this?
Answer:
Step-by-step explanation:
DeAndre calculated the volume in three ways:
V= 12.5
V= 15.4
V=20.3
Let's focus on DeAndre's first equation.
Explain what the 12 and the 5 represent in the figure.
The 12 represents ...
The 5 represents...
Answer:
The 12 represents area of base of cuboid.
The 5 represents height of cuboid.
Step-by-step explanation:
Given:
DeAndre calculated the volume of the cuboid in three ways:
V= 12.5
V= 15.4
V=20.3
To find: what the 12 and the 5 represent in the figure
Solution:
Volume of cuboid is equal to length × breadth × height
or Area of the base of cuboid × height
Length = 4 units
Breadth = 3 units
So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units
Height of cuboid = 5 units
The 12 represents area of base of cuboid.
The 5 represents height of cuboid.
the sum of three consecutive even numbers is 114 what's the smallest of these numbers
Answer:
36
Step-by-step explanation:
consecutive even numbers are 2,4, 6...
Let the smallest of the 3 numbers be x.
2nd number= x+2
3rd number
=x+2+2
= x+4
sum of the 3 numbers= x +x+2 +x+4
114= 3x+6
3x= 114 -6 (-3 on both sides)
3x= 108 (simplify)
x= 108 ÷3
x= 36
Thus, the smallest number is 36.
Let's check!
36+38+40= 114 ✓
Which equation describes a line of symmetry for a square ABCD?
Answer:
y=x
Step-by-step explanation:
The equation of the line is line DB
From y=mx + c
From the graph y = 0 when x =0
This means y=x;
The graph cuts through the origin.
Meaning the y -intercept C=0
An assembly line is operating satisfactorily if fewer than 2 % of the phones produced per day are defective. To check the quality of a day's production, the company randomly samples 5 0 phones from a day's production to test for defects. Define the population of interest to the manufacturer. all the phones produced during the day in question the 50 phones sampled and tested the 2% of the phones that are defective the 50 responses: defective or not defective
Answer:
all the phones produced during the day in question.
Step-by-step explanation:
Okay, we are given the following data or information or parameters in the question above and they are; 2 % of the phones produced per day are defective, the quality of a day's production was checked by sampling 50 samples randomly.
Therefore, the best option or Explanation that best Define the population of interest to the manufacturer is; ''all the phones produced during the day in question''.
Also, the 50 phones that are sampled randomly and 2% which are defective is a condition that the manufacturer should be interested in.
Prendendo come esempio la porta disegnata da un tuo compagno, dimmi quanta vernice ti serve per dare due mani alla porta.
Sapendo che un barattolo contiene 0,75 litri di vernice e che si verniciano circa 9mq, quante porte come quella nel disegno riesci a verniciare?
Answer:
english please
Step-by-step explanation:
Answer:
English plz
Step-by-step explanation:
Use a geometric model to factor 3x2 + 4x + 1 by following
these steps
Factor 1
2
Product
Step 1: Model the trinomial by placing tiles to form a
rectangle in the top left corner of the Product
section
+X
Factor 2
Check
B
Answer:
The factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).
Step-by-step explanation:
The expression is:
[tex]f(x)= 3x^{2} + 4x + 1[/tex]
Factorize the expression as follows:
[tex]f(x)= 3x^{2} + 4x + 1[/tex]
[tex]=3x^{2}+3x+x+ 1\\\\=3x(x+1)+1(x+1)\\\\=(3x+1)(x+1)[/tex]
Thus, the factors of the expression [tex]f(x)= 3x^{2} + 4x + 1[/tex] are (3x + 1)(x + 1).
Answer: It shows correct if this is the model your looking for
Step-by-step explanation:
Solve the system of equations using the elimination method 4x+5y=40 6x+3y=42
Answer:
The solutions to the system of equations are [tex]y=4,\:x=5[/tex].
Step-by-step explanation:
To solve the system [tex]\begin{bmatrix}4x+5y=40\\ 6x+3y=42\end{bmatrix}[/tex]
First,
[tex]\mathrm{Multiply\:}4x+5y=40\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:12x+15y=120\\\\\mathrm{Multiply\:}6x+3y=42\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:12x+6y=84[/tex]
[tex]\begin{bmatrix}12x+15y=120\\ 12x+6y=84\end{bmatrix}[/tex]
Subtract the first equation from the second equation
[tex]12x+6y=84\\\underline{-12x-15y=-120}\\-9y=-36[/tex]
Solve [tex]-9y=-36[/tex] for y:
[tex]\frac{-9y}{-9}=\frac{-36}{-9}\\y=4[/tex]
For [tex]12x+15y=12[/tex] plug in [tex]y=4[/tex] and solve for x
[tex]12x+15\cdot \:4=120\\12x=60\\x=5[/tex]
The solutions to the system of equations are:
[tex]y=4,\:x=5[/tex]
The area of the base of a cylinder is 45 square inches and its height is 11 inches. A cone has the same area for its base and same height. What is the volume of the cone?
Answer:
165 in³
Step-by-step explanation:
Volume of a cone is:
V = ⅓Ah
where A is the area of the base and h is the height.
V = ⅓ (45 in²) (11 in)
V = 165 in³
point c' (_4, _3) is the image of c (_2, _3) under a translation
Answer:
2 units moved?
Step-by-step explanation:
Two datasets arranged in descending order are; {8, x, 4,1} and {9, y, 5,2}. If the medians of
the two given datasets are equal, what is the value of (y − x)
2
?
Answer:
1Step-by-step explanation:
A data arranged in descending order is a data arranged from the biggest to the smallest. The medisn of the data sets is the value at the middle of the dataset after rearrangment.
For the dataset {8, x, 4,1}, the median will be x and 4. Since we have two median values, we will take their average as shown
Median(1) = [tex]\frac{x+4}{2}[/tex]... 1
Simialrly for dataset {9, y, 5,2}, the median will be y and 5.
Median(2) = [tex]\frac{y+5}{2}[/tex] ...2
Since the medians of the two given datasets are equal, we will equate equation 1 and 2 and calculate for y-x as shown;
[tex]\frac{x+4}{2} = \frac{y+5}{2}[/tex]
[tex]x+4 = y+5\\x-y = 5-4\\x-y = 1\\y-x = -1[/tex]
Therefore y-x = -1
(y-x)² = (-1)²
= 1
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2 comma 2 ), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 0 2 4 6 8 10 0 2 4 6 8 10 x y A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (5, 5), (6, 5), (7, 5), (5, 6), (6, 6), (6, 6), (7, 6), (5, 7), (6, 7), and (7, 7), forming a square and the tenth point (2, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 points? ModifyingAbove y with caretequals 1.647plus 0.706x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? ModifyingAbove y with caretequals 6 (Round to three decimal places as needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Answer:B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Step-by-step explanation:
a circle with area 36pi has a sector with a central angle of 48°. what is the area of the sector?
Answer:4.8π
Step-by-step explanation:
Φ=48°
Area of circle=36π
Area of circle=π x r^2
36π=πr^2
Dividing both sides by π we get
r^2=36π/π
r^2=36
Take them square root of both sides
√(r^2)=√(36)
r=6
Area of sector=Φ/360 x π x r x r
Area of sector=48/360 x π x 6 x 6
Area of sector=(48xπx6x6)/360
Area of sector=1728π/360
Area of sector=4.8π
On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime.
Identify the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.
(x, y) Right-arrow (x – 4, y – 2)
(x, y) Right-arrow (x + 4, y – 2)
(x, y) Right-arrow (x – 4, y + 2)
(x, y) Right-arrow (x + 4, y + 2)
ps first person to answer get brilliants
Answer:
D
Step-by-step explanation:
The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:
(x, y) → (x - 4, y + 2)
Here, we have,
In the transformation, the x-coordinates of the points are shifted 4 units to the right, which is represented by subtracting 4 from the original x-coordinate.
Similarly, the y-coordinates of the points are shifted 2 units up, which is represented by adding 2 to the original y-coordinate.
Therefore, the correct rule is (x, y) → (x - 4, y + 2).
Hence, The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:
(x, y) → (x - 4, y + 2)
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-10x + 3(8 + 8x) = -6(x - 4) solve for x
Answer:x=0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Solve for x:
3 (8 x + 8) - 10 x = -6 (x - 4)
3 (8 x + 8) = 24 x + 24:
24 x + 24 - 10 x = -6 (x - 4)
Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:
(-10 x + 24 x) + 24 = -6 (x - 4)
24 x - 10 x = 14 x:
14 x + 24 = -6 (x - 4)
Expand out terms of the right hand side:
14 x + 24 = 24 - 6 x
Add 6 x to both sides:
14 x + 6 x + 24 = (6 x - 6 x) + 24
6 x - 6 x = 0:
14 x + 6 x + 24 = 24
14 x + 6 x = 20 x:
20 x + 24 = 24
Subtract 24 from both sides:
20 x + (24 - 24) = 24 - 24
24 - 24 = 0:
20 x = 24 - 24
24 - 24 = 0:
20 x = 0
Divide both sides of 20 x = 0 by 20:
(20 x)/20 = 0/20
20/20 = 1:
x = 0/20
0/20 = 0:
Answer: x = 0
What is the difference in the results if you calculate
(−7)² versus −7² . Why does the parentheses give us a
different result?
Answer:
Order of Operations.
Step-by-step explanation:
If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:
(-7)²= 49.
However, when squaring without the parenthesis, it will give us a negative number because:
The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:
-7² = -49
However, within parenthesis, everything inside will be squared.
Is a temperature of 0.67 degrees a positive number or a negative number.
Answer:
It is a positive number.
Step-by-step explanation:
Numbers that are above 0 are considered positive and numbers below 0 are considered negative.
~Anna
Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
27.5 pages read per hour
Step-by-step explanation:
If u can help me and show work plzzz!!!
Answer:
A; C
Step-by-step explanation:
x = (1/2)(125 - 27) -->
x = (1/2)(98) -->
x = 49 (A)
_________
x = RS -->
(x+2)(2) = (3+5)(3) -->
2x + 4 = 9 + 15 -->
2x = 9 + 15 - 4 -->
2x = 20 -->
x = 10 (C)
