Answer:
25%
Step-by-step explanation:
We can find this by dividing 1/6 by 2/3 to and then converting to percent. 1/6 divided by 2/3 is equal to 1/6 * 3/2, which is equal to 1/4. 1/4 in percent is 25%.
Pls help quickly!!!!! hector built a tent shaped like a rectangular pyramid. the volume of the tent is 56 cubic ft. the area of the base of the tent is 24 square ft. what is the hieght of hectors tent in feet?
The rectangular pyramid rises 7 feet in height.
What is a rectangle-shaped pyramid?Pyramids are three-dimensional objects with triangle-shaped faces and an all-encompassing polygonal base. It is referred to as a rectangular pyramid if the base of the structure is rectangular. Although all pyramids have a rectangular foundation, they all have triangular edges.
How is the height of the rectangular pyramid determined?
First, we understand that a rectangular pyramid's volume is determined by:
\(V=B * H / 3\)
The height H is determined by the base B.
When we know the volume is 56 \(ft^{3}\) and the base is 24 \(ft^{2}\), we can then swap out those two numbers in the volume calculation to get:
\(56 f t^{3}=24 f t^{2} * H / 3\)
When we solve it for H, we get:
\(H=3 *\left(56 f t^{\circ} / 24 f t^{2}\right)=7 f t\)
The rectangular pyramid rises 7 feet in height.
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What is the solution set to the inequality (4x-3)(2x-1)20?
{ x x 3 or x> 1}
x21}
{XX
0 {x1x5 - 1/2
or x2
4
or x2-
The solution set to the inequality (4x-3)(2x-1)20 is x ≤ 1/2 or x ≥ 3/4. Option C
What is an inequality?An inequality, is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
(4x-3)(2x-1) ≥ 0
expanding the brackets
8x^2 - 4x - 6x + 3
8x^2 -10x +3
(8x^2 -6x) -(4x+3)
Factoring the common factors
2x(4x-3)-1(4x-3)
(2x-1)(4x-3) ≥ 0
2x-1 ≥ 0
dividing both sides by 2
x≤-1/2
4x-3≥0
Dividing both sides by 4
x≤3/4
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Fit the following points (-1,2), (0,0), (0.1,1), (1,2) to the following equation y = a +bx+cx²
The equation y = 2x perfectly fits the given points (-1,2), (0,0), (0.1,1), (1,2), as the coefficients are determined to be a = 0, b = 2, and c = 0. This means that the equation represents a straight line passing through the origin (0,0), with a slope of 2.
To fit the given points (-1,2), (0,0), (0.1,1), (1,2) to the equation y = a + bx + cx², we can use the method of least squares regression to find the values of the coefficients a, b, and c that minimize the sum of the squared differences between the actual y-values and the predicted values from the equation.
Using the least squares regression, we can solve a system of linear equations formed by substituting the x and y values from the given points into the equation. In this case, we have four equations:
2 = a - b + c
0 = a
1 = a + 0.1b + 0.01c
2 = a + b + c
Solving these equations, we find that a = 0, b = 2, and c = 0.
Therefore, the equation that best fits the given points is y = 2x, with a = 0, b = 2, and c = 0.
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The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is _____ centimeters long.
A. 30
B. 17
C. 7
D. 40
Answer:
its c.7
Step-by-step explanation:
I took the quiz
Answer:
c. 7
Step-by-step explanation:
i had this quiz also
each week, carmen earns a base pay of $35 plus 0.17 for every pamphlet that she delivers. write an equation that can be used to find how much carmen earns each week. how much will she earn the week that she delivers 300 pamphlets?
Answer:
Equation: m = 35 + 0.17p
Solution: $86
Explanation:
After writing the equation, plug in the value 300 to the variable p. You get m = 35 + 0.17(300). From there you multiply to get m = 35 + 51. Then add to get an answer of $86.
f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm.
The statement ''f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm '' is TRUE.
Let us assume that a is an m x n matrix that doesn't span rm. It means that the columns of a matrix don't contain all the vectors in the m-dimensional vector space that a is associated with. Therefore, it is not possible to find the linear combination of the columns of a that produces some vectors in rm.
We can also say that a matrix is inconsistent when there is no solution possible for the given linear equation. A system of linear equations is inconsistent when it has no solution.To prove the statement f, we need to prove that if a matrix doesn't span rm, then the given equation ax = b is inconsistent for some b in rm.
Here is a proof:
Let's assume that the columns of the matrix a don't span rm. It means that some vector in rm is not in the column space of a matrix.
Let's assume that vector is v.
Now, let's consider the linear equation ax = v. Since v is not in the column space of matrix a, there is no solution to this equation. It means that the equation ax = v is inconsistent.
Hence, we can say that the statement f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm is true
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If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one? the answer is 108 sq units, im curious how it got there
Answer:
Please check explanations
Step-by-step explanation:
Mathematically, the area of a triangle
A = 1/2 * b * h
b is base, h is height
For 12 square units, we can have a base of 6 and a height of 4
By tripling the dimensions for the second triangle, we will have a triangle of 18 by 12
So the new area is;
A = 1/2 * 12 * 18
That was how we got 108 square units
if f(x)=2(x)² + 5√(x+2), complete the following statement:
f(2)=
Answer:
x-intercept(s):
None
y-intercept(s):
(
0
,
5
√
2
)
Step-by-step explanation:
Answer:
f(2)=18
Step-by-step explanation:
f(2)=2(2)²+5√(2+2)
f(2)=2(4)+5√(4)
f(2)=8+5(2)
f(2)=8+10
f(2)=18
A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance traveled is 56.923 miles. Part A: How many miles did the hiker travel on the first day
Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
The hiker traveled 6.0 miles on the first day.
Let, the distance the hiker traveled on the first day is "x" miles.
According to the information given, the hiker planned to increase the distance covered by 10% each day.
This means that on the second day, the hiker would travel 10% more than on the first day, which is 1.1x miles.
Similarly, on the third day, the hiker would travel 10% more than on the second day, which is \((1.1)(1.1)x = (1.1)^{2x\) miles.
This pattern continues for each day.
After 7 days, the total distance traveled is 56.923 miles.
So, we can write the equation:
\(x + 1.1x + (1.1)^{2x} + ... + (1.1)^{6x} = 56.923\)
This is a geometric series where the first term is x, the common ratio is 1.1, and there are 7 terms (since the hiker traveled for 7 days).
Using the formula for the sum of a geometric series:
Sum = (first term) * (1 - (common ratio)^number of terms) / (1 - common ratio)
\(56.923 = x * (1 - (1.1)^7) / (1 - 1.1)\)
Solve for x:
x = 6.0 miles
So, the hiker traveled 6.0 miles on the first day.
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The table shows the length, in inches, of fish in a pond.
15 18 9 22
7 15 10 18
Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.
In the table that shows the the length, in inches, of fish in a pond, there are no outlier. Last option
What is an outlier in mathematics?In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.
Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.
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Answer: D
Step-by-step explanation:
I got it right on the test
A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
Is 1.57 a rational number
Answer:
yes 1.57 is a rational number you could write it as 1 & 57/100 or 157/1000
If 5/12 of sophomores at Washington High School have dogs as pets, and 8/15 of sophomores with dogs also
have cats as pets, what portion of the Washington High School sophomores have both dogs and cats as
pets?
19/20
7/60
25/32
2/9
Answer:
Step-by-step explanation:
To solve this problem, we can use the formula for finding the intersection of two sets:
Intersection of Set A and Set B = Set A * Set B
Here, Set A is the set of sophomores with dogs as pets, and Set B is the set of sophomores with cats as pets among the students in Set A.
So,
Set A = 5/12 (since 5/12 of sophomores have dogs as pets)
Set B = 8/15 (since 8/15 of sophomores with dogs also have cats as pets)
Multiplying these two fractions, we get:
Set A * Set B = (5/12) * (8/15) = 2/9
Therefore, 2/9 of Washington High School sophomores have both dogs and cats as pets. The answer is 2/9.
Write an equation in slope
intercept form that passes
through (-5,-4) and (-2,-7)
y=x+1
Step-by-step explanation:
the slope of the line is 1 (-2-(-5)/(-7-(-4))
then the equation of the line is y+4= 1(x+5) or y=x+1
Complete the Square and write in Vertex Form: f(x) = x^2 + 6x + 5
Answer:
no cap -check ur test thingy i got the answer from yahoo asks its x^2+6x+5
Step-by-step explanation:
Can someone help me figure out number 5 and determine what it’s sequence is and common ratio is if there is one
Answer:
Well, it keeps going down in 15s, so I'm guessing it's a geometric sequence. I wouldn't know about common ratio though...
6.
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the
shuffled deck:
a
What is the probability of drawing a card that is an even number? (1 point)
b.
What is the probability of drawing a card that can be divided by 5? (1 point)
с.
What is the probability of drawing a card that can be divided by 10? (1 point)
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
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Write in standard form . y=−3x−5
Answer: The answer is 3x+y=−5
Step-by-step explanation: Just download Math-way app to calculate this ellipse in standard form to find your answer by using the step-by-step is very helpful, please mark me as Brainliest, and have a very wonderful weekend! :D
A recipe calls for 5 tablespoons (tbsp) of water to be added, however your measuring
utensils are only in milliliters (ml). How many ml of water do you need to add to your
recipe?
The figure is a parallelogram. One diagonal measures 28 units. A parallelogram is shown. It has side lengths 21, 20, 21, and 20. The length of a diagonal is 28. Is the figure a rectangle? Explain.
Answer: Second option, it is not a rectangle because the sides don't meet at right angles.
Step-by-step explanation:
A rectangle is a shape with 4 sides, such that we have two pairs of parallel sides, where the length of the parallel sides is equal.
so we have two parallel sides with length L and two parallel sides with length L'.
In this figure ,we can see two sides with length 20 and other two with length 21, and this is a rectangle only if the sides meet at 90°degree angles (this would mean that the opposite sides are parallel)
to see this, we can think that the triangle formed by the diagonal and two sides is a triangle rectangle, then using the Pythagorean theorem we should have that:
20^2 + 21^2 = 28^2
841 = 784
So this is not a triangle rectangle, meaning that the angle between the side of 20 and the side of 21 is not a right triangle, then the figure is not a rectangle.
The correct option is the second one.
Answer:
Answer: Second option, it is not a rectangle because the sides don't meet at right angles.
Step-by-step explanation:
Just took the test
convert the unsigned decimal 8.32 to 4 4 fixed point binary with the highest possible precision.
The 4.4 fixed-point binary representation of the unsigned decimal number 8.32 is 1000.0101 0000.
To convert the decimal number 8.32 to a 4.4 fixed-point binary representation, we can follow these steps:
Step 1: Convert the integer part to binary
The integer part of 8.32 is 8, which can be represented as 1000 in binary.
Step 2: Convert the fractional part to binary
The fractional part of 8.32 is 0.32.
To convert this to binary, we can use the following steps:
Multiply the fractional part by 2.
Take the integer part of the result as the next binary digit.
Repeat the above step with the fractional part until we achieve the desired precision.
0.32 * 2 = 0.64 (Take the integer part, which is 0)
0.64 * 2 = 1.28 (Take the integer part, which is 1)
0.28 * 2 = 0.56 (Take the integer part, which is 0)
0.56 * 2 = 1.12 (Take the integer part, which is 1)
The binary representation of the fractional part is 0101.
Step 3: Combine the integer and fractional parts
Combining the integer and fractional parts, we get:
1000.0101
Step 4: Pad with zeros
Since we are aiming for a 4.4 fixed-point representation, we need to pad zeros to achieve the desired precision.
In this case, we need to add four zeros to the fractional part:
1000.0101 0000
Therefore, the 4.4 fixed-point binary representation of the unsigned decimal number 8.32 is 1000.0101 0000.
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Graph the equations x = cos y and x = sin y over the y-interval
[c, d] = [0, π/2] and shade the area of the region between the
curves. Determine its area by integrating over the y-axis.
The area of the shaded region between the curves x = cos(y) and x = sin(y) over the y-interval [0, π/2] is 2.
For the equation x = cos(y).
We can rewrite this equation as y = arccos(x) to make it easier to graph. The range of arccos(x) over the interval [0, π/2] is [0, π/2], so the graph will lie within this range.
Now x = sin(y).
We can rewrite this equation as y = arcsin(x).
The range of arcsin(x) over the interval [0, π/2] is [0, π/2], so the graph will also lie within this range.
To determine the area of this region by integrating over the y-axis, we need to find the limits of integration.
In this case, the limits of integration will be y = 0 to y = π/2.
To find the area, we can set up the integral as follows:
A = ∫[0, π/2] (sin(y) - cos(y)) dy
To calculate this integral, we can break it down into two separate integrals:
A = ∫[0, π/2] sin(y) dy - ∫[0, π/2] cos(y) dy
A=[-cosy] [0 to π/2] -siny [0 to π/2]
Apply the limits:
A = [0 - (-1)] - [1 - 0]
A = 1 + 1
A = 2
Hence, the area of the shaded region between the curves x = cos(y) and x = sin(y) over the y-interval [0, π/2], obtained by integrating over the y-axis, is 2 square units.
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Austin and Nicole are playing a game where they toss a dart at a game board that is hanging
on the wall. The points earned from a toss depends on where the dart lands. The center area
is worth more point than the surrounding areas. Each player tosses 12 darts.
Austin earned a total of 66 points with 6 darts landing in each area. Nicole earned a
total of 56 points with 4 darts landing in the center area, and 8 darts landing in the
surrounding area. Write a system of equations that represents the number of darts
each player tossed into each section. Use y for the inner circle, and y for the outer
cirde.
b. How many points is the inner circle worth? How many points is the outer circle worth?
C. If a player gets 10 darts in the inner circle and 2 in the outer circle the total score is
doubled. How many points would the player earn if he or she gets exactly 10 darts in
the center?
The total score is 280 + 4 = 284 points. Doubling this gives us a score of 568 points.
a. Let x be the number of darts Austin tossed into the inner circle, and y be the number of darts Austin tossed into the outer circle. Then we have:
x + y = 12 (since Austin tossed 12 darts in total)
2x + y = 66 (since Austin earned 66 points with 6 darts landing in the inner circle and 6 darts landing in the outer circle)
Let a be the number of darts Nicole tossed into the inner circle, and b be the number of darts Nicole tossed into the outer circle. Then we have:
a + b = 12 (since Nicole tossed 12 darts in total)
2a + b = 56 (since Nicole earned 56 points with 4 darts landing in the inner circle and 8 darts landing in the outer circle)
b. Let's use the system of equations we wrote in part (a) to solve for the points earned in each circle:
2x + y = 66
2a + b = 56
Solving for y in the first equation, we get:
y = 66 - 2x
Substituting this into the second equation, we get:
2a + (66 - 2x) = 56
Simplifying, we get:
a + x = 5
So the number of darts in the inner circle plus the number of darts in the outer circle is 5 for both players.
To find the point value of each circle, we can set up another system of equations using the given information that each player earned more points for darts in the inner circle:
2y + x = 66 (since Austin earned more points for darts in the inner circle)
2a + b = 56 (since Nicole earned more points for darts in the inner circle)
Solving for y in the first equation, we get:
y = (66 - x)/2
Substituting this into the second equation, we get:
2a + (66 - x)/2 = 56
Simplifying, we get:
4a + 66 - x = 112
So:
x = 66 - 2y
Substituting this into the equation we just found, we get:
4a + 66 - (66 - 2y) = 112
Simplifying, we get:
4a + 2y = 112
Now we can solve for y:
y = (112 - 4a)/2
Since y represents the point value of the inner circle, we can plug in a value for a (the number of darts Nicole tossed in the inner circle) to find the point value:
If a = 0, then y = 56/2 = 28
If a = 1, then y = (112 - 4)/2 = 54/2 = 27
If a = 2, then y = (112 - 8)/2 = 52/2 = 26
If a = 3, then y = (112 - 12)/2 = 50/2 = 25
So we see that the inner circle is worth 28 points and the outer circle is worth 2 points (since each player tossed a total of 12 darts and the inner circle plus outer circle must add up to 12).
c. If a player gets 10 darts in the inner circle and 2 in the outer circle, the total score is doubled. To find the score for 10 darts in the center, we can use the point value we found in part (b):
10 darts in the inner circle is worth 28 x 10 = 280 points
2 darts in the outer circle is worth 2 x 2 = 4 points
So the total score is 280 + 4 = 284 points. Doubling this gives us a score of 568 points.
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what is the product of (-a+3)(a+4)?
\((-a+3)(a+4)=-a^2-a+12\).
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12
One convenience frozen dinner contains 20 grams of fat. How many calories from fat does this provide
Calories from 20 grams of fat will be 180 .
Given,
Dinner with 20 grams of fat .
Now,
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
So,
1 gram fat ⇒ 9 calories
20 gram fat ⇒ 20*9
Thus 20 gram of fat in dinner will provide 180 calories .
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this is the last question
The resulting quadrilateral have the following vertices: A'(x, y) = (- 1, 1.5), B'(x, y) = (- 0.5, 0.5), C'(x, y) = (1, - 0.5), D'(x, y) = (1, 1). (Correct choice: B)
How to find the coordinates of the vertices of a polygon by rigid transformation
Herein we have the case of a quadrilateral, that is, a polygon with four vertices: A(x, y) = (- 4, 6), B(x, y) = (- 2, 2), C(x, y) = (4, - 2), D(x, y) = (4, 4), whose image is the result of a dilation with a scale factor of 1 / 4 about the origin on Cartesian plane. The polygon is contracted by contracting each of five vertices, whose formula is shown below:
P'(x, y) = k · P(x, y)
Where:
P(x, y) - Original pointP'(x, y) - Imagek - Scale factorIf we know that k = 1 / 4, A(x, y) = (- 4, 6), B(x, y) = (- 2, 2), C(x, y) = (4, - 2) and D(x, y) = (4, 4), then the coordinates of the resulting polygon:
A'(x, y) = 0.25 · (- 4, 6)
A'(x, y) = (- 1, 1.5)
B'(x, y) = 0.25 · (- 2, 2)
B'(x, y) = (- 0.5, 0.5)
C'(x, y) = 0.25 · (4, - 2)
C'(x, y) = (1, - 0.5)
D'(x, y) = 0.25 · (4, 4)
D'(x, y) = (1, 1)
The vertices of the resulting quadrilateral are A'(x, y) = (- 1, 1.5), B'(x, y) = (- 0.5, 0.5), C'(x, y) = (1, - 0.5) and D'(x, y) = (1, 1).
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Can anyone help me and tell me how to solve this
The values of arc QM and chord NR are 108 degrees and 17 units
How to determine the arc QM and chord NRFrom the question, we have the following parameters that can be used in our computation:
MQ = NR
This means that
8x + 4 = 12x - 48
Evaluate the like terms
4x = 52
Divide by 4
x = 13
So, we have
Arc QM = 8 * 13 + 4
Arc QM = 108
Also, we have
NR = MQ
So, we have
3y - 4 = y + 10
So, we have
2y = 14
Divide by 2
y = 7
So, we have
NR = 7 + 10
NR = 17
Hence, the length NR is 17 units
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There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
a. What is the ratio of tomato plants to lettuce plants?
b. What is the ratio of lettuce plants to cucumber plants?
a) The ratio of tomato plants to lettuce plants:
4 ÷ 8 ⇒ 1 ÷ 2b) The ratio of lettuce plants to cucumber plants:
8 ÷ 2 ⇒ 4 ÷ 1describe how lady macbeth fulfills a traditional feminine role at the banquet in macbeth
Lady Macbeth exemplifies the traditional role of a woman by showing her hospitality, generosity, graciousness, and support to her guests.
At the banquet in Macbeth, Lady Macbeth fulfills a traditional feminine role in several ways. Firstly, she demonstrates her hospitality and generosity by welcoming the guests and providing them with food and drink. Secondly, she shows her nurturing nature by urging Macbeth to be more hospitable and to provide the guests with more generous servings. Thirdly, she shows her graciousness and hospitality by offering the guests timely compliments. Lastly, she shows her caring and supportive nature by encouraging Macbeth to be more gracious and generous. Altogether, Lady Macbeth exemplifies the traditional role of a woman by showing her hospitality, generosity, graciousness, and support to her guests.
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the data below shows the grams of fat for a variety of snacks. morris wants to calculate the standard error of the sample mean for this set of data. snack grams of fat snack 1 9 snack 2 13 snack 3 21 snack 4 30 snack 5 31 snack 6 31 snack 7 34 snack 8 25 snack 9 28 snack 10 20 what is the standard error for this set of data? 2.63 8.1 7.65 2.77 save
The standard error for the given data set of variety of snacks is 2.628.
Explain the word standard error?The standard deviation of a statistic's sampling distribution, or an estimate of such a standard deviation, is the statistic's standard error (SE), which is typically an estimate of a parameter. The standard error of mean is used when the statistic will be the sample mean (SEM).For the stated data set:
x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20
Standard of Error:
S.E = s / √n
Mean average;
Mean x' = ∑x / n = ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10
x' = 242 / 10
x' = 24.2
Standard deviation s:
x (x-x')²
9 231.04
13 125.44
21 10.24
30 33.64
31 46.24
31 46.24
34 96.04
25 0.64
28 14.44
20 17.64
Total ∑(x-x')² = 621.6
Thus,
Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )
= 621.6 / 9
Variance = 69.0667
Standard deviation S = √Variance
= √69.0667
Standard deviation S = 8.3106
Then, standard of error;
S.E = 8.3106 / √10
S.E = 2.628
Thus, the standard error of given data set of variety of snacks is 2.628.
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