A company makes muesli which contains nuts and sultanas.
They counted the number of nuts in 50 individual serving packets.
They drew a table.
Number Midpoint Number of
of nuts (x) packets (f) f.x
4 - 6 5 3 15
7-9 8 9
10 - 12 11 12
13 - 15 14 17
16 - 18 17 9
50
To Find :
complete the table
calculate and estimate for the mean
The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:
Number of Nuts Number of Packets Midpoint (x) fx
4-6 5 5 5 * 3 = 15
7-9 8 8 8 * 9 = 72
10 - 12 11 11 11 * 12 = 132
13 - 15 14 14 14 * 17 = 238
16 - 18 17 17 17 * 9 = 153
Total 50 610
b) To calculate an estimate for the mean, we use the formula:
Mean = Sum of (fx) / Total Number of Packets
Mean = 610 / 50
Mean ≈ 12.2
Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.
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5m+2-m=12m. solve for m. simplify the answer to
the lowest term.
Answer:
m=1/4
Step-by-step explanation:
5m+2-m=12m
4m+2=12m
2=12m-4m
2=8m
2/8=m
1/4=m
m=1/4
I need to know this answer right now please help and thank you
Answer:
your answer would b b haha puns
someone please help me, whoever gets it right i will mark brainliest
3x^2 6x^2 + 4x -8
2x. 9x^3 + 6x^2 -12x
x^2. 18x^2 + 12x - 24
6x^2. 3x^2 + 2x - 4
Plz plz plz helpppppplllpl
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
please mark as brainliest
Katie is 44 years younger than Sylvia. Let kk represent Katie's age, and let ss represent Sylvia's age. Part A Using the variables defined above, write an equation that shows the relationship between Katie's age and Sylvia's age. Part B Use the equation from Part A to find how old Sylvia is when Katie is 13 years old. years old.
Consider the system of equations.
4x−3y=−2
2x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Answer Options:
•Distributive Property of Equality
•Division Property of Equality
•Substitution Property of Equality
•Addition Property of Equality
A mother is 3 times as old as her daughter.In 12 years time she will be twice as old as her daughter will be then. How old is the mother now?
Answer:
The mother will be 36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
just multiply 12 and 3
NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer: 60 is the answer.
Step-by-step explanation: We can use the total sum, 180.
To get the missing angle, add the 2 angles, 60 and 60.
60 + 60 = 120.
Then subtract from 180.
180 - 120 = 60.
Hence, 60 is the answer.
Let me know if you have any questions.
~ Lily, from Brainly.
Note to asker: Write this down!
To find 1 missing angle:
A1 + A2 = TA - 180 = X (A1 = Angle1)
5) Today's temperature is 10 degrees. Yesterday's temperature was -3. What is
the range of the two temperatures? *
Answer:
13
Step-by-step explanation:
10--3=
So is 13
But not sure
please help!! I'll give you brainlyest (however you spell it) just please!! A bottle of orange juice contains 750 mg of vi C and has 6 servings. A bottle of cranberry juice contains 135 mg of vitamin C las 1.5 servings. Mrs. Kahn wants to compare the amount of vitamin C in the juices.
How does the amount of C in each type of juice compare? One serving of ____ (answers are orange or cranberry) juice has ____ mg more vitamin C per serving than one serving of _____ (answers are orange or cranberry) juice
Answer:
One serving of orange juice has 30 mg more vitamin C per serving than one serving of cranberry juice
Step-by-step explanation:
can someone help me please!!
Answer:
55°
Step-by-step explanation:
∠KJL=180° - 125 = 55°
KL=KJ
so, ∠KJL= ∠KLJ =55°
List the sides of the triangle in order from
shortest to longest.
A town's population went from 40,000 to 50,000. What was the percent of change in the population?
Find the length of the third side. If necessary, round to the nearest tenth 24 30
Answer: 18
Step-by-step explanation:
fill in the missing steps of the following sequence:
104, 60, __, 27, 21.5
Answer:
38
Step-by-step explanation:
reducing by half of 44, half of 22, half of 11
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
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The square table has side lengths of 4 feet. What is the length of the diagonal?
A triangle has one angle that measures 61 degrees, one angle that measures 44 degrees, and one angle that measures 75 degrees. what kind of triangle is it?
choices
1.right triangle
2.obtuse triangle
3.acute triangle
Answer:
Acute triangle
Step-by-step explanation:
All the three angles of the triangle is less than 90, all angles are acute. So, it is acute triangle.
If any one of the three angles is 90, then it is right triangle.
If any one of the three angle is more than 90, then it is obtuse triangle.
Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?
Answer:
Step-by-step explanation:
Circumference
C = 2*pi * r
pi = 3.14
r = d / 2
r = 8/2
r = 4 feet
C = 3.14 * 2 * 4
C = 18.84 feet.
Area
pi = 3.14
r = d/2
r = 8/2
r = 4
Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24 ft^2
PLEASE HELP ME!!
write three to the power of two sevenths in radical form and explain?
Answer:
4782969
Step-by-step explanation:
Answer:
[tex]\sqrt[7]{3^{2}}[/tex]
Step-by-step explanation:
[tex]3^{2/7}[/tex]
^ That is 3 to the 2/7ths power. We know that. Now it needs to be in radical form. That takes a bit of thinking.
If you have a power that is less than one (like 1/2) it is can be written as a root. So say you're given [tex]2^{1/2}[/tex]. That is the same exact thing as saying [tex]\sqrt{2}[/tex]. It's the same thing. You can say it either way.
In the same way, a squared power, like [tex]2^{2}[/tex], is the same as representing it like a fraction, like [tex]2^{2/1}[/tex]. They both mean the same thing.
So by pointing these out, a fraction power = the power / the root.
If that makes sense.
So, with this in mind, let's look at what we have again.
[tex]3^{2/7}[/tex]
So we can split it up to say that 3 is raised to a 2nd power times a 1/7th power.
So we know what a 3 to the 2nd power is: [tex]3^{2}[/tex].
And since we have a fraction that's also included, we now know that is a root. So we can represent that like this: [tex]\sqrt[7]{3}[/tex].
But those two answers need to be combined. We can do that like this: [tex]\sqrt[7]{3^{2}}[/tex]
Answer: [tex]\sqrt[7]{3^{2}}[/tex]
So there it is! I hope that helped you!!
Of 42 cities, 5 have a lake and 29 have a river running through them what fraction of these 42 cities have a lake or river running through them
Answer: 17/21
Step-by-step explanation:
Number of cities = 42
Fraction of cities that has lake = 5/42
Fraction of cities that have rivers = 29/42
The fraction of these 42 cities that have a lake or river running through them will then be:
= 5/42 + 29/42
= 34/42
= 17/21
Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False
Answer:
True.
Step-by-step explanation:
It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.
It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.
For example,
Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32
Let's find image using scale factor 0.4, we get
length =0.4(12)= 4.8
width =0.4(4)=1.6
So, perimeter of image = 4.8+4.8+1.6+1.6=12.8
If we compare the perimeters
0.4(32)=12.8.
So, it is true.
will give brainliest if right
SAKHDSKGgsgdyasygudayf
The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.
Answer:
11 ft
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is
A = L * W.
Represent the length, L, by 2W + 1 ("1 more than twice the width"). Then the area formula (above) becomes:
A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:
2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}. Let's use the quadratic formula to solve this for W:
The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441. The square root of 441 is 21. Thus, the quadratic formula gives us:
-1 ± 21
W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2
2(2)
A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.
Then, according to the formula for L that we found earlier, L = 2W + 1, or
L = 2(5) + 1, or L = 11.
Check: Does L * W result in an area of 55 ft²? Yes
The length dimension of the rectangle is 11 ft
simplify 3a x 2b x 2
Answer:
[tex]12ab[/tex]
Step-by-step explanation:
3a × 2b = 6ab
6ab × 2 = 12ab
Therefor, the answer is 12ab.
3a × 2b × 2 = 12ab
The expression expects us to find the product . Therefore,
3a × 2b × 2Let's do it step by step
3a × 2b = 6ab
Then,
6ab × 2 = 12ab
Therefore,
3a × 2b × 2 = 12ab
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(13-2x^3+6x)-(7x^3+9-4x)
Answer:
if you simplify the expression you would get: -9x^3 + 10x + 4
Hope this helps:)
HELP!! Pls!
f(x)=5
Find f(-2)
No links!
Answer:
f(x)=5
f(-2)=5
5 is the answer if there is no x near the 5
Choose one answer
Pls fast anyone
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]
Answer:
B
Step-by-step explanation:
Pythagorean theorem states that a²+b²=c²
Through observation, I assumed that 8 was the hypotenuse
I sqaured both the known lengths of the leg and hypotenuse and plugged them into the equation: a²+36=64
I subtracted 36 from 64 leaving me with 28=a²
Then in order to isolate the variable I had to apply square root to both values, cancelling the "²" and leaving me with √28=a
What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
i cant find out the answer for
the life of me
Answer:
A. h = (S/2πr) - rStep-by-step explanation:
Solve the given for h:
S = 2πrh + 2πr²Isolate h:
2πrh = S - 2πr²Divide all terms by 2πr:
h = (S/2πr) - rCorrect choice is A