Answers
Answer:
The range within 1 standard deviation :155.12 ,328.38
Step-by-step explanation:
Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]
Mean =241.75
[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]
Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]
Standard deviation =86.63
Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]
Range within 1 standard deviation :(241.75-86.63,241.75+86.63)
Range within 1 standard deviation :155.12 ,328.38
Hence The range within 1 standard deviation :155.12 ,328.38
Related Questions
(8^3 + 2^2 + 1) - (7 - 7^3+3^2)
Answers
Answer:
844 is the ans
Step-by-step explanation:
512+4+1 -7 +343+9= 844
Answer: 844
Step-by-step explanation:
Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4 (x minus 8) minus 2 x Which explains whether Trina is correct? A. Trina is correct because the two sides of the equation are equivalent. B. Trina is correct because the two sides of the equation are not equivalent. C. Trina is not correct because the two sides of the equation are equivalent. D. Trina is not correct because the two sides of the equation are not equivalent.
Answers
Answer
The answer is C. Trina is not correct because the two sides of the equation are equivalent.
Step-by-step explanation:
1. solve for x
-8(x - 4) + 2x = -4(x - 8) -2x
-8x + 32 + 2x = -4x + 32 -2x
-6x + 32 = - 6x + 32
0 = 0
This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.
Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.
Hope This Helps :p
C. Trina is not correct because the two sides of the equation are equivalent
I just took the quiz on edge
Plz I need help with this
Simplify 12c+14b+3c-22
Answers
Answer:
15c +14b -22
Step-by-step explanation:
12c+14b+3c-22
Combine like terms
12c+3c+14b-22
15c +14b -22
Bob Farted 3 times every 30 seconds how many time does Bob fart in 2 days?
Answers
Answer:
he would fart 17280 times in 2 days
Step-by-step explanation:
Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5
Answers
Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?
Answers
Answer:
Step-by-step explanation:
surface area=4×5+2×1/2×3×4+5×5+3×6
=20+12+25+18
=75
I’m stuck on this problem help
Answers
(3x + 10) + (2x + 10) + 45 = 180. By the way, since the angles D and B are across from each other they are congruent. Now, let’s start solving it:
(3x + 10) + (2x + 10) + 45 = 180
(5x + 20) + 45 = 180
5x + 65 = 180
5x = 115
x = 23
WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is
Answers
Answer:
-2 + i
------------
5
Step-by-step explanation:
(-3+i)/ (7+i)
Multiply by the complex conjugate
(-3+i)/ (7+i) * (7-i)/(7-i)
Numerator
(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i
Denominator
(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50
Numerator over denominator
-20 + 10i
-----------
50
Divide by 10
-2 + i
------------
5
Answer:
(-2 + i) / 5Step-by-step explanation:
(-3 + i)/(7 + i)= (-3 + i)(7 - i) / (7 + i)(7 - i)= (-21 + 3i + 7i - i²) / (49 - i²)= (-21 + 1 + 10i) / (49 + 1) =(- 20 + 10i) / 50 =(-2 + i) / 5First, multiply both the numerator and denominator by = 7 - i
The product in the numerator is
- 2 + iThe product in the denominator is
5At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?
Answers
Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Hopes This Helps
The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answers
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
Learn more about the supplementary angle here;
https://brainly.com/question/12919120
Oh yikes this is a hard one!
Divide and answer in simplest form
A. 1/15
B. 15/1
C. 3/5
D. 5/3
Answers
Answer:
A.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] ÷ 5 = [tex]\frac{1}{3}*\frac{1}{5} =\frac{1}{15}[/tex]
1/15 the answer is A
Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.
Answers
Answer:
A) Yes. The shared side, image, provides enough information for SAS.
Step-by-step explanation:
-98 + -5 - 89 + 5 + 7
Answers
Answer:
-180 is your answer.
Step-by-step explanation:
Answer: -180
Step-by-step explanation: I uh, used the calculator app on my phone.
If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5
Answers
Answer:
The last option is correct. (f*g)(x) = x² - 5
Step-by-step explanation:
Since is f * g you have to multiply them together.
x² - 2 * x - 3 (x)
Next ust simplify.
x² -5x
c. Aria was having a birthday party for her friend. She ordered two pizzas for the party.
Each pizza had 24 slices. When the party was over, 17 slices were left. How many
slices of pizza were eaten at the party.
Answers
Answer:
31
Step-by-step explanation:
Each pizza had 24 slices so 2 pizzas had 24+24 or 24x2 = 48 slices
If only 17 remains, 48-17 = 31 slices got eaten
Answer:
31 eaten
Step-by-step explanation:
She started with 2 pizzas with 24 slices each
2*24 = 48
17 slices were left
48 - 17 = 31
That means 31 were eaten
pls help me I need it I will give u 100 points and mark u brainliest pls help me. I need 3 answers 3,4,5
Answers
Answer:
Question 3. Option B,
Question 4. Option D,
Question 5. Option B
Step-by-step explanation:
Question 3.
If we have a table, we can note that each juice has a proportionality among one another - comparative to the number of servings. If we can figure out this proportionality, we can apply it to the servings of grapefruit juice;
[tex]8 / 16 = 1 / 2,\\4 c / 8c = 1 / 2,\\1 c / 2 c = 1 / 2[/tex]
As we can tell, this " proportion " is 1 to 2. Thus, the amount of grapefruit for 16 servings is 2 * 3 = 6c - Option B
Question 4.
The distance Carlos biked is 24 miles, the total distance he covered is 30 miles;
[tex]24 : 30 = 4 : 5,\\4 to 5,\\4 : 5,\\4 / 5\\\\Conclusion - Option D[/tex]
Question 5.
If 1 / 6 of the fruits are oranges, there must be 6 times of the other fruit. Thus, the solution is Option B
Answer:
Question 3: 6c
Question 4: 4 to 5, 4:5, 4/5
Carlos biked 24 miles and ran 6 miles. The total distance is equal to 30 miles.
The question is: How much of the total distance he biked?
[tex]$\frac{24}{30}=\frac{4}{5} $[/tex]
Question 5: 3 oranges and 15 apples
[tex]$\frac{1}{6} $[/tex] of the fruits are oranges.
It means that approximately [tex]16.6\%[/tex] of the fruits are oranges. If there were 6 fruits, 1 is orange and 5 are apples, therefore B is wrong.
If you take the options, only the first one is correct.
Duane recorded the temperature outside his window one morning. On the second day,
the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees.
On the fourth day, the temperature went down 6 degrees, and it was 1°F.
What was the temperature on the first day?
A. 0°F
B. 17°F
C. 10°F
D. 7°F
Answers
Answer:
C
Step-by-step explanation:
[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]
so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]
Find x.
A)7
B)7"2
C)"(14)
Answers
Answer:
x = 7
Step-by-step explanation:
Since this is a right triangle, we can use a trig function
tan theta = opposite/ adjacent
tan 45 = 7/x
Multiply each side by x
x tan 45 = 7
Divide each side by tan 45
x = 7/ tan 45
x = 7
Answer:
7
Step-by-step explanation:
It is a 45 45 90 triangle
meaning that the side lenghts will be x, x, x root 2
the hypotenuse will be x root 2, so that means that the side length will be 7
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.
Answers
Answer:
Step-by-step explanation:
complementary angles =90 degrees
Angle 2+ angle 1 = 90 degrees
Angle 1 =35 degrees
Angle 2 = 90-35 = 45 degrees
Angle 2 + angle 3 = 90
Angle 3= 90-45 = 35 degrees ( proved)
I hope this help
Answer:
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the
✔ congruent complements theorem
, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of
✔ congruent
angles. Then, using the
property
✔?
, the measure of angle 3 is
✔ 35
degrees.
Step-by-step explanation:
AABC has coordinates of A(-6, -3), B(7, -7), and C(0, 3). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.
Answers
What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answers
Answer:
12
Step-by-step explanation:
Step-by-step-explanation
½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A?
Answers
Answer: A = x^2/16 + (5 - x/4)^2 > 20.5
Hope this helped.
The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm
Answers
Answer:
[tex]x=12\:mm[/tex]
Step-by-step explanation:
[tex]A=bh[/tex]
[tex]b \times h=120[/tex]
[tex]b \times 10=120[/tex]
[tex]b=120 \div 10[/tex]
[tex]b=12[/tex]
Find the value of x to the nearest degree.
Answers
Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
AABC is translated 6 units up and 3 units left to create
AA'B'C'. If vertex A is located at (-1, 2), what are the
coordinates of A'?
(5-1)
(-4, 8)
(2, -4)
(-7, -1)
Answers
Answer:
-4,8
Step-by-step explanation:
If vertex A is located at (-1, 2) then the coordinates of A' is
What is Translation?A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. One illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape. Every point in the shape is moved in the same direction and by the same amount.
We have,
The triangle is translated 6 units up and 3 units left.
If vertex A is located at (-1, 2).
To Translate 6 units up we have to add 6 to the y coordinate.
and, to translate 3 units left we have to subtract 3 from the x coordinates.
So, the coordinates after translation is
A (-1,2) --> A' (-4,8)
B (1,5) --> B' (-2,11)
Learn more about Translation here:
https://brainly.com/question/17485121
#SPJ7
What is the slope of the line described by the equation below?
y= x-3
A. (0,-1)
B.(0,3)
C. (0,1)
D.(0,-3)
Answers
Answer: The answer is B: (0,-3)
Step-by-step explanation: The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!
y = 0-3
y=-3
( i hope this helped <3 )
14. Compare the graph below to the function
Answers
Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) = [tex]\sqrt{x}[/tex]
When translated by 3 units left,
f(x + 3) = [tex]\sqrt{(x+3)}[/tex]
g(x) = [tex]\sqrt{(x+3)}[/tex]
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) = [tex]k\sqrt{(x+3)}[/tex]
Since a point (1, 4) passes lies on the transformed function.
g'(1) = [tex]k\sqrt{(1+3)}[/tex]
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1
Answers
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.
By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.
Answer:
y = x - 1is this for calvert homeshcool?A survey of 50 people found that 14 people like building a snowman. If 600 people had responded, how many would have been expected to list building a snowman as their favorite winter activity?
theoretical or experimental probability, and why
Answers
Answer:
168, a little of both
Step-by-step explanation:
Make 14 out of 50, 14/50 simplified its 7/25, multiply it by 600 and you get 168 its a little of both because half the info we were given its experimental since it is not theorized, what we're being given (the question) and what we gave is theorized since we didn't actually perform an experiment to get a real answer
Please hurry!!!
What is the solution of sqrt2x+4=16?
X=6
X=72
X=126
No solution
Answers
Answer:
126
Step-by-step explanation:
squaring both sides
([tex]\sqrt{2x+4} ^{2} =16^{2}[/tex]
⇒2x+4=256
2x=252
x=252/2=126
