Which expression has the value of 12?

Option (a) is correct i.e., the margin of error is equal to ± 0.8 and the confidence interval is equal to 10.5

In a random survey sample,  a “margin of error” is a measurement (calculation) that takes into consideration the difference between actual and sample data findings.

Let μ be the unknown population mean. To determine the ‘population mean’ we use the sample mean as a point estimate (approximate) μ.

The “margin of error” determines how far the actual population value will likely be from the survey's value. It evaluates the accuracy (precisely) of a survey's results. The survey's results are more likely to be accurate (precise) values if the “margin of error” is less.

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Complete question:

After a set of surveys was compiled and analysed , the mean value was reported as 10.5 ± 0.8 . Select the true statement for this data

a) The margin of error is equal to ± 0.8 and the confidence interval is equal to 10.5.

b) The estimate is equal to 10.5 and the margin of the error is equal to

± 0.8.

c) The estimate is equal to 10.5 and the confidence interval is equal to

± 0.8.

d) The margin of error is  equal to 10.5 and the estimate is equal to ± 0.8.

Answer:

The estimate is equal to 10.5 and the margin of error is equal to ± 0.8.

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

3.1 x 5

Step-by-step explanation:

The distributive property formulas are a (b + c) = ab +ac and (a + b)(c + d) = ac + ad + bc + bd. Expand the terms, remove the brackets by multiplying the outside terms with the terms inside, add the like terms and simplify.The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. ... Then we need to remember to multiply first, before doing the addition

The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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Answer:

7x

Step-by-step explanation:

4*x+3=7x

The graph of the function g(x) = x + 3 is a straight line that passes through the point (0, 3) on the y-axis and has a slope of 1.

To understand how to plot the graph, let's consider a few points on the line.

We can choose any values for x and calculate the corresponding values for g(x).

Let's start with x = 0.

Substituting this value into the function, we get g(0) = 0 + 3 = 3.

So, the point (0, 3) is on the graph.

Next, let's choose x = 1.

Substituting this value into the function, we get g(1) = 1 + 3 = 4.

This gives us another point on the line, (1, 4).

Similarly, we can choose more values for x and calculate the corresponding values for g(x).

For example, if we let x = -1, we get g(-1) = -1 + 3 = 2, giving us the point (-1, 2).

By connecting these points and extending the line in both directions, we obtain a straight line that represents the graph of g(x) = x + 3.

The line has a positive slope of 1, which means it rises by 1 unit vertically for every 1 unit it moves horizontally.

Overall, the graph of g(x) = x + 3 is a straight line that passes through the point (0, 3) and has a slope of 1.

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Answer:

Step-by-step explanation:he equation for circumference is:

c=2%28pi%29r

The equation for area is:

a=%28pi%29r%5E2

First, we'll find the circumference.

The 'r' in the equation stands for radius. The radius of a circle is half of its diameter, so the circle's radius is half of 6--3 inches.

So, we can substitute 3 in for 'r' and 3.14 in for pi

c=2%28pi%29r

c=2%2A3.14%2A3

Then, we can simply multiply.

c=2%2A3.14%2A3

c=18.84

Therefore, the circumference of the circle is 18.84

Next, we'll find the circle's area.

Again, we can substitute 3 in for 'r' and 3.14 in for pi

a=%28pi%29r%5E2

a=3.14%2A3%5E2

The, we'll square three and multiply.

a=3.14%2A3%5E2

a=3.14%2A9

a=28.26

Therefore, the circumference is 18.84 and the area is 28.26.

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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Answer:

-16

Step-by-step explanation:

3^2-7(3)-4

Answer:

Step-by-step explanation:

Check part

\(y= C_1y_1 + C_2y_2 = C_1cos(7x)+C_2sin(7x)\)

\(y'= -7 C_1sin(7x)+7C_2cos(7x)\)

\(y"= -49 C_1cos(7x) - 49 C_2sin(7x)\)

Now, replace to the original one.

\(y"+49 y = -49C_1cos(7x)-49 C_2 sin(7x) + 49 C_1cos(7x) +49 C_2sin(7x) = 0\\\)

Done!!

Particular solution

\(y(0) = C_1cos(0) + C_2 sin(0) = C_1= 10\)

I believe that y'(0) = 4, not y(0) anymore. Since y(0) CANNOT have two different solution.

\(y(0)'= -7 C_1sin(0) + 7 C_2 cos (0) = 7 C_2= -4\)

\(C_2 = -4/7\)

The last step is to put C1, C2 into your solution. You finish it.

Answer:

x=1

Step-by-step explanation:

You can find the axis of symmetry from the equation of a function by using the formula x= -b / 2a          ( ax^2 + bx + c).

In this particular function, you can see that b is 1 and c is -3.

x= -b / 2a

x= - (-2) / 2(1)

x= 2 / 1

x= 1

Lilly's old car seat hada maximum weight of 40 pounds.

Her now car seat has a max weight of 70 pounds.

Find the percent increase or decrease​?

SOLUTION:

New increase in weight = 70 pounds - 40 pounds = 30 pounds

Percentage increase = 30 / 40 x 100 / 1 = 75 % increase

Answer:

D ) none of these .. i think this help you

The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The distance between two points A(x1,y1) and B(x2,y2) is given by:

In this problem we need to find the length of MB which is half AB, therefore the distance will be d/2 or:

Now, let's replace and solve

x1 = 4

y1 = -1

x2 = -2

y2 = 3

Thus, the length of MB is SQRT(13) or approximately: 3.6

What item shown below?? Imao I'll edit my answer if you put it below in the comments

Answer:

m = 60 years

Step-by-step explanation:

granddaughter's age in months is equal to her grandmother's age in years

d = m

The sum of the granddaughter's age in years and the grandmother's age in years is 65

d/12 + m = 65

Substitute

m/12 + m = 65

(13/12)m = 65

multiply both sides by 12/13

m = 65 * 12/13

m = 60 years

Answer:

60 years

Step-by-step explanation:

Let the age of grandmother be x years

So, age of granddaughter = x months = x/12 years

According to the question:

The sum of the granddaughter's age in years and the grandmother's age in years is 65.

\(x + \frac{x}{12} = 65 \\ \\ \frac{12x + x}{12} = 65 \\ \\ \frac{13x}{12} = 65 \\ \\ x = 65 \times \frac{12}{13} \\ \\ x = 60 \\ \)

Thus, the age of grandmother is 60 years.

Answer:

quarts. 11. fluid ounces = —. 1. 4. — quart. 12. quarts = 6 gallons. 13. 16 pints = gallons. 14. ... How many times must a 1-cup measuring cup be filled to equal 4 pints? 2. Leroy has 2 containers. ... can hold. Write cup, pint, quart, or gallon. 15. a bathtub. 16. a container of orange juice. 17. a juice box. 18. a small milk carton. 1

Step-by-step explanation:

Answer:

24-8i

Step-by-step explanation:

(8-8i)(2+i)=8*2+8i-8i*2-8i^2=16+8i-16i-8*(-1)=16-8i+8=24-8i

Answer:

It is 36 percent of 50 i think

Step-by-step explanation:

Divide 18.36 by 36%
18.36/0.36 = 51

answer: 51

The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

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Answer:

143 i think

Step-by-step explanation:

45+ 106= 151

151 - 8 = 143

Answer:

$143

Step-by-step explanation:

106+45= 151

151-8=143

Answer:

The answer is definitely B

Answer:

B: quadratic, because the height increases and then decreases

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

131 + - 5 can either be;

131 + 5 = 136

131 - 5 = 126

The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer:

I think the answer is 8

Step-by-step explanation:

t h e   a n s w e r   i s    8   b c    f o r    e v e r y  1  b o o k   i t s   8$

40   d i v i d e d    b y    5   i s  8

 h o p e   t h i s   h e l p s :)