Answer:
It is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F
Step-by-step explanation:
The given information are;
The sample size, n = 102
The sample mean = 98.4°F
The sample standard deviation = 0.66°F
[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}[/tex]
α = 0.2, ∴ α/2 = 0.1
[tex]\chi _{1-\alpha /2}[/tex] = [tex]\chi _{0.9, 101}[/tex] = 83.267
[tex]\chi _{\alpha /2}[/tex] = [tex]\chi _{0.1, 101}[/tex] = 119.589,
Which gives;
[tex]\sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{119.589}^{}}}< \sigma < \sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{83.267}^{}}}[/tex]
0.607 < σ <0.727
Therefore, it is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F.
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20). Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
Answer:
(10, 17)
Step-by-step explanation:
It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.
Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)
From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.
y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.
The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.
x: 4+6 = 10
y: 8+9=17
The fruit market is at point (10,17)
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates
[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]
[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]
Tia is at P(4, 8) and Lei is at Q(12, 20).
The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1
So,
[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]
Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.
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How to do this question plz answer me step by step plzz plz
In general and here, when we have an object with a constant cross section of area A, the volume V = A L, where L is the length.
L = V / A = 330 / 55 = 6 cm
Answer: 6 cm
o persoana depune la banca o suma de bani. banca ofera o dobanda anuala de 2%. dupa un an in cont se afla 8160 lei. Care a fost suma depuse la banca?
Answer:
8000 lei
Step-by-step explanation:
Ni se spune la întrebarea de mai sus să găsim suma depusă în bancă.
Ni se oferă următoarele valori
R = rata = 2% = 0.02
T = Timp = 1 an
Suma totală = A = 8160 lei
Trebuie să găsim principalul (suma depusă la bancă).
Formula de utilizat este dată ca:
P (Principal) = A / (1 + rt)
P = 8160 lei / 1 + 0.02 × 1
P = 8160 lei / 1.02
P = 8000 lei
Prin urmare, suma depusă în bancă este de 8000 de lei.
Answer:
the two percent of 8160 its 163.2 so its 7996.8
Step-by-step explanation:
U
Which statements are true about x? Select three
options
B
XEBUC
Oxenc
OXEAUC
Oxeanc
ΕχεΑ
с
Answer:
A, B, C
Step-by-step explanation:
x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C
Answer: A, B, C
Answer:
[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]
[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]
Step-by-step explanation:
Look at the picture
PLEASE ANSWER I WILL GIVE BRAINLIEST AND THANKS DESCRIBE FULLY THE SINGLE TRANSFORMATION THAT MAPS A ONTO C
Step-by-step explanation:
Shape A is flipped horizontally onto the x-axis
The new shape is mirroring Shape A
Math question plz give answer with explanation will report if it is a non-sense answer. I just want to make sure I am doing it right
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Answer:
The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.
In other words, two sides and the angle between them are congruent.
Hope this helps, if it does please give me brainliest, it will help me a lot :)
Have a good day
Answer:
A on edge
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
hope you like this
keep rocking
stay at home stay safe
I need helpppppppppppppppppp
Answer:
A:
9×1=9
9×2=18
9×3=27
9×4=36
9×5=45
9×6=54
9×7=63
9×8=72
9×9=81
9×10=90
B:
It goes down by 1 after multiplying a bigger number.
C:
It goes up by 1 after multiplying a bigger number.
Step-by-step explanation:
hope this helps you and have a great day
URGENT!! Please help me with this as soon as possible!!
The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.
==========================================================
Explanation:
Check out the diagram below. I have added x and y such that
x = base angle
y = vertex angle (located adjacent to center of polygon)
The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.
The two base angles x must add with the vertex angle y to get 180
(angle1)+(angle2)+(angle3) = 180
x+x+y = 180
2x+y = 180
2x+72 = 180
2x = 180-72
2x = 108
This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.
Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.
TRUE OF FALSE : -2 > 6
Answer: False for sure
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex]-2<6[/tex]
-2 is less than 6.
6 is a greater value than -2.
HELP ASAP PLEASE!!!
A) The range for this function is the set
B)the domain of this function is all real numbers
C) The domain for this function is the set 3
D)All real numbers are in range of this function
E) it’s in the picture
Answer:
A and C
Step-by-step explanation:
The line is at 3, and no number is within reach except 3. So the answer is A and C.
4/5 (x − 20) = 8 solve it
Answer:
30
Step-by-step explanation:
4/5 (x-20)=8
4/5x-4/5*20=8
4/5x-16=8
4/5x=24
x=(24*5)/4
x=30
hope it helps..
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal number of cars. How many toy cars did they have altogether?
Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
Answer:
140
Step-by-step explanation:
x + y = 6
X - 4y = 1
Find the solution of the system of equations by using
elimination.
Answer:
x=5, y=1
Step-by-step explanation:
First, you need to multiply both sides of the second equation by -1 so that you can proceed the elimination process. Like this...
x + y = 6
x - 4y = 1
x + y = 6
-x + 4y =- 1
Now you can eliminate the x variable by addition process. It becomes like this...
x + y = 6
-x + 4y =- 1
5y=5
y = 1
Now, let's proceed substitution process. You can substitute the value of y into any equation that you want. I want to put the value of y into the equation of x + y = 6 .
When y=1, substitute into x + y = 6
x + 1 = 6
x = 6-1
x = 5
Hooray! Now you have the value of x and y.
x= 1 and y=5.
I hope you will understand my explanation. Bye!
Find the common ratio of the geometric sequence: 2/3,−2,6,…
Answer:
-3
Step-by-step explanation:
Well to find the common ratio we need to figure out,
what * 2/3 = -2.
To find that we do -2 ÷ 2/3
= -3
To check -2 * -3 should be 6 which it is.
Thus,
the common ratio is -3.
Hope this helps :)
Answer:
-3
Step-by-step explanation:
Common ratio = 2nd term ÷ 1 st term
= -2 ÷ 2/3
= [tex]-2 * \frac{3}{2}\\\\[/tex]
= -3
the scale on the map of a park is 5 in. : 3 mi.
Answer:
If the scale on a map is 5in : 3 miles, it means every 3 inches is 5 miles. 6 inches is 10 miles and so on.
Solve the equation below for the variable (x):
2y + x = 10 + 2 x
A. x = 8y
B. x = 10 - 2y
C. x = 2y - 10
D. x = -8y
Answer:
Hope this helps. If not let me know and I'll explain it better
a rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.
a) how many cubic centimeters of water will the tank hold?
b) how many milliliters of water will the tank hold?
c) how many liters of water will the tank hold?
Answer:
a) 60,000 cubic cm
b)600,000 cubic mm
c)60 L
Step-by-step explanation
To find the volume, you would have to multiply the height length and width.
50*40*30 and that equals to 60,000 cm. 10 mm=1cm.
So 60,000*10=b, b=600,000, 1,000 cm=1 L
60,000/1,000=L, L=60
Hope this helps. If it does, please rate 5 stars!
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
last option
Step-by-step explanation:
Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
Answer:
option D
Step-by-step explanation:
Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B. What is the ratio of the volume of sphere A to sphere B?
Answer:
8 : 1
Step-by-step explanation:
From the above question, we are given the following parameters
Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B.
Volume of a sphere = 4/3πr³
For Sphere A , diameter = 6
Radius = Diameter ÷ 2 = 6÷ 2 = 3
Volume of Sphere A = 4/3 × π × 3³
= 113.09733553 cubic units
Approximately = 113.1 cubic units
We were given a scale factor (k) of 2
Because we are dealing with volume, the scale factor will be cubed
In order to find the Volume of the sphere B
k³ = Volume of Sphere A/ Volume of Sphere B
2³ = 113.1 / Volume of Sphere B
Volume of Sphere B = 113.1/ 2³
= 14.1375 cubic units.
The ration of the Volume of Sphere A to Sphere B
Sphere A: Sphere B
113.1 : 14.14
= 8: 1
Answer:
1:8
Step-by-step explanation:
Took the test and got it right trust
A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?
Answer:
Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.
12.
Find the values in the interval [-n/2, n] that satisfy the equation.
arctan (V3/3) = x
с
a. since tan (n/6) = 13/3, X = n/6
b. since sin (-1/4)= -V2/2, x = -1/4
c. since cos (3n/2) = -1/2, X = 3n/2
d. since cos 0 = 1, x = 0
e. since cos (1/4) = V2/2, X = n/4
13
Answer:
Step-by-step explanation:
[tex]tan^{-1} (\frac{\sqrt{3} }{3} )=x\\tan x=\frac{\sqrt{3} }{3} =tan (\frac{\pi}{6} )\\x=\frac{\pi}{6}[/tex]
Find the value of f(-1)g(-1)
Answer:
4
Step-by-step explanation:
f(-1) = (-1)^2 +1 = 1 + 1 = 2
g(-1) = 3(-1) +5 = -3 +5 = 2
f(-1)g(-1) = (2)(2) = 4
Which equation is true for the value x = 15? A. 2(x + 3) = 40 B. 2(x − 5) = 30 C. 2(x + 5) = 40 D. x + 2x = 30 E. 3x − x = 45
I think it is C. Pls comment right or wrong!
The equation 2(x + 5) = 40 is true for the value x = 15 which is the correct answer would be option (C)
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
To determine the required equation which is true for the value x = 15
We have to simplify the given equations and solve for x.
A. 2(x + 3) = 40
⇒ 2x + 6 = 40
⇒ 2x = 40 - 6
⇒ 2x = 34
⇒ x = 34/2
⇒ x = 17
B. 2(x − 5) = 30
⇒ 2x - 10 = 30
⇒ 2x = 30 + 10
⇒ 2x = 40
⇒ x = 20
C. 2(x + 5) = 40
⇒ 2x + 10 = 40
⇒ 2x = 40 - 10
⇒ 2x = 30
⇒ x = 15
Hence, the equation 2(x + 5) = 40 is true for the value x = 15 which is the correct answer would be option (C)
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Use the elimination method to solve the ststem of equations.choose the correct ordered pair 10x+2y=22 3x-4y=-21
Answer:
x=1 and y=6
Step-by-step explanation:
10x+2y=22
3x-4y=-21
First at all, you have to multiply both sides of this equation of 10x+2y=22, like this,
2(10x+2y)=2*22
*Put the 2 for the both sides.
Then, expand them.
20x+4y=44
When we have 20x+4y=44, we can eliminate with another equation.
20x+4y=44
3x-4y=-21
So, the first equation has +4y and the second equation has -4y, so we can use elimination method to eliminate one variable.
This time we can sum these equation to get one variable to get the answer easily. Like this...
20x+4y=44
3x-4y=-21
to become...
23x=23
x=23/23
x=1
When we get the equation like this, we can divide 23 by 23, so we can get the value of x. So, the value of x is 1.
When we know x is equal to 1, we can do the last part substitute x=1 into the second equation which is 3x-4y=-21.
The following steps is like this:
Substitute x=1 into 3x-4y=-21,
3(1)-4y= -21
3-4y= -21
Move the 3 to the another side, like this;
-4y= -21-3
-4y= -24
y= -24/ -4
y=6
*Be careful! When you calculate -24/-4 , you have to know how to eliminate the negative sign. (-) / (-) = +
Negative number divided by negative number is equal to positive number.
So, here we go! the value of x is 1 and the value of y is 6.
That is my solution and explanation from me. I hope you can understand. Bye!
pls help!!!! it has been a struggle 2 find this answer!
Answer:
U to V: 5/2
V to U: 2/5
Step-by-step explanation:
Simplify the ratio of the corresponding sides.
20 in to 8 in
25 in to 10 in
30 in to 12 in
Simplify: |x−y| if x is less than y
Answer:
y-x
Step-by-step explanation:
I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.
2. The diagram shows a playground which is a combination
of three different shapes. TSVU is a square, SRQV is a
trapezium and PQVU is a parallelogram. Calculate the
total area of the playground.
Answer:
The diagram shows a playground which is a combination
of three different shapes. TSVU is a square, SRQV is a
trapezium and PQVU is a parallelogram. Calculate the
total area of the playground
Any help on this???????????
Answer:
x = 121°
Step-by-step explanation:
The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.