Pls solve fast .. . . . . . . . .

Answer:

  0.06254%

Step-by-step explanation:

You want the percentage error in using 4·4=16 as an estimate for the area of a rectangle that is 4.1 by 3.9.

The percentage error is found using the formula ...

  percent error = (estimate - actual)/actual × 100%

  percent error = (16 -(4.1×3.9))/(4.1×3.9) × 100%

  = (16 -15.99)/15.99 × 100% ≈ 0.06254%

Answer: The actual area of the rectangle is 4.1 * 3.9 = 16.09. The percentage error is calculated as follows:

(|actual value - approximate value| / actual value) * 100% = (|16.09 - 16| / 16.09) * 100% = 0.57%

So, the percentage error is 0.57%.

Step-by-step explanation:

Answer:

1/216

Step-by-step explanation:

(1/6)^3 is equal to 1/6 x 1/6 x 1/6 which is equal to 1x1x1/6x6x6.

You can simplify that, 1x1x1=1 and 6x6=36 and 36x6 is 216.

Therefore, the answer is 1/216.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(\dfrac{1}{6})^3}[/tex]

[tex]\mathsf{= \dfrac{1}{6}\times\dfrac{1}{6}\times\dfrac{1}{6}}[/tex]

[tex]\mathsf{= \dfrac{1\times1\times1}{6\times6\times6}}[/tex]

[tex]\mathsf{= \dfrac{1\times1}{36\times6}}[/tex]

[tex]\mathsf{= \dfrac{1}{216}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{216}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The answer choice which best represents the positive exponential growth as required from the task content is; y=2(8/5)^x.

As evident from the standard form equation of exponential relations; we have that;

y = a (b)^x.

By convention, an exponential growth factor is one is which case, the multiplying factor, b is greater than 1.

On this notes the answer choice which represents a positive exponential growth as required is; y=2(8/5)^x.

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Answer:

For a heptagon or other polygon to be classified as convex, the interior angles must total less than 180°. Any ordinary heptagon could be classified as a convex heptagon.

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If  i just graduated from school with $25,000 worth of debt. The monthly payment if you were able to finance it over 7 years at 6% is: $359.44.

Using the loan payment formula to find the monthly payment

Payment = Loan Amount× (Interest Rate / 12) / (1 - (1 + (Interest Rate / 12))^- (Number of Payments))

Plugging in the values:

Payment = $25,000× (0.06 / 12) / (1 - (1 + (0.06 / 12))^- (12 × 7))

Payment = $359.44

Therefore the monthly payment is $359.44.

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When purchasing 6 books online for a total of $105 and each costing the same, the starting cost of a book is $19.5.

The component technique is a way of problem-solving where you first calculate the cost of a single component, then multiply that value to get the answer. Simply expressed, a single product value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and counterpart are equivalent. (Linear Algebra, Academic Analysis, Mathematics of Matrix or Operators)

given

Step: Since the cost of all six books is $105 and they are all the same price. she paid $17.5 for each book, making

Therefore, the price she paid for the book was 17.5 + $2, which is its original price of 107 / 6 = 17.5.

When purchasing 6 books online for a total of $105 and each costing the same, the starting cost of a book is $19.5.

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Answer:

Step-by-step explanation:

u need to explain more to the question

The height of the building will be 897.6 feet if the angle of elevation is 5 degree and distance is 2 miles.

The height, length of angle of elevation and the base of the triangle will form the right angled triangle. Thus, to find the height, we will use the formula -

tan theta = perpendicular ÷ base, where theta is the angle of elevation.

Now, keep the values in formula to find the height of the building.

height = tan 5 × 2

Keep the value of angle

height = 0.087 × 2

Performing multiplication on Right Hand Side of the equation

height = 0.17 mile

As per the known information, 1 mile = 5280 feet

So, 0.17 mile = 897.6 feet

Thus, the height of building is 897.6 feet.

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Answer:

below

Step-by-step explanation:

In a cubic yard there are 3 x 3 x 3 = 27 ft^3

540 ft^3 /  27 ft^3/yd^3 = 20 yd^3

The remaining area of the flag is 383 ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangular flag is 24 ft long and 18 ft wide. If a triangle is cut out of the center of the flag that has a base of 7ft and a height of 14ft, we need to find the remaining area of the flag,

To find the remaining area of the flag, we will subtract the area of triangle from the area of rectangle,

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × height

Therefore,

The remaining area = 24 × 18 - 1/2 × 7 × 14

= 432 - 49

= 383 ft²

Hence, the remaining area of the flag is 383 ft²

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the answer is

x/9 < 8 + 5x

Step-by-step explanation:

squared numbers.

1 = 1² = 1×1

4 = 2² = 2×2

9 = 3² = 3×3

16 = 4² = 4×4

25 = 5² = 5×5

36 = 6² = 6×6

The derivative of the function is f'(s) = 9s^2 + 2 and the values are 146 and 11

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

f(s) = 3s^3 + 2s

Differentiate the function

So, we have

f'(s) = 9s^2 + 2

When the values are evaluated, we have

f(-4) = 9(-4)^2 + 2 = 146

f(-1) = 9(-1)^2 + 2 = 11

Hence, the values are 146 and 11

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The confidence interval is (0.7414,0.7786) and the margin of error is 0.0186.

From the given data n=2025

[tex]\tilde{p}[/tex]=76%=0.76

Confidence Level =0.95

The sample proportion is a random variable: it varies from sample to sample in a way that cannot be predicted with certainty. Viewed as a random variable it will be written [tex]\tilde{p}[/tex].

[tex]$\widehat{p}=\frac{x}{n}$[/tex]  (Sample Proportion)

[tex]$E=Z_{\alpha / 2} \times \sqrt{\frac{\rho(1-\bar{p})}{n}}$[/tex](Margin of Error)

[tex]$(\widehat{p}-E, \widehat{p}+E)$[/tex] (Confidence Interval)

Random Selection: This is satisfied as US adults are selected randomly.

- Less than 10% population: Adults are less than 10% of US adults. This condition is satisfied.

The [tex]$$n \bar{p}$[/tex] and [tex]$n(1-\tilde{p})$[/tex] must be[tex]$\geq 10$[/tex] : Here [tex]$n \widehat{p}[/tex]=2025×0.76=1539 [tex]\geq 10$[/tex]and [tex]$n(1-\hat{p})[/tex]=2025×(1-0.76) =486 [tex]\geq 10$[/tex] which is met. This condition is also satisfied.

All conditions are met.

Calculation

Confidence level is 0.95

Level of significance is a=0.05

[tex]$\mathrm{Z}_{\mathrm{c}}=\mathrm{Z}_{\mathrm{a} / 2}$[/tex] critical value=1.96

Margin of error is

[tex]$$E=1.96 \times \sqrt{\frac{0.76(1-0.76)}{2025}}$$[/tex]

Confidence interval is (0.76-0.0186,0.76+0.0186)

=(0.7414,0.7786)

E=0.0186

Therefore, the confidence interval is (0.7414,0.7786) and Margin of error is 0.0186

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Answer:

[tex]B) 1\dfrac{5}{6}[/tex]

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]2\dfrac{3}{4}=\dfrac{11}{4}\\\\\\1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

      Use KCF method

                     [tex]\sf \dfrac{11}{4} \ \div \ \dfrac{3}{2}=\dfrac{11}{4}*\dfrac{2}{3}[/tex]

                                   [tex]\sf =\dfrac{11}{2*3}\\\\\\=\dfrac{11}{6}\\\\=1\dfrac{5}{6}[/tex]

Salut/Hello!

Answer: D

Step-by-step explanation:

Total of male students: 100
Male students that like peas: 58
Male students that dislike peas: 100 - 58 = 42

Total of female students: 100
Female students that dislike peas: 64
Female students that like peas: 100 - 64 = 36

Total of people that like peas: 58 + 36 = 94
Total of people that dislike peas: 42 + 64 = 106


I hope it'll be useful! :]

The Multiplicative inverse of 1/16 ÷ 1/81 +-1/8​ is 16/79

1/16 ÷ 1/81   +    -1/8

1/16 ÷ 1/81   = 81/16

+    -1/8  = - 1/8

81/16  - 1/8

Then,

= 81/16  - 2/16

= (81 - 2)/16

= 79/16

Multiplicative inverse = 16/79

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The value of length x is 9 units.

The value of length y is 6 units.

The value of length x and length y is calculated by applying congruency theory as shown below.

side of the triangle with length 12 ≡ x

side of the triangle with length 8  ≡ 6

x / 6 =  12 / 8

x = ( 6 ) x ( 12 / 8 )

x = 9

The length of side y is calculated as follows;

h / 3 =  4 / 6

h = 3 ( 4/6 )

h = 2

y = 4 + 2 = 6

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Answer:

60°.

Step-by-step explanation:

1. DB is diametre, then

2. m∠BCD=90°, then

3. m∠BDC=m∠BCD-m∠CBD=90-60=30°, then

4. finally, Arc(CB)=2*m∠BDC=60°.

The Equation for the phrase is 2(x + 9) = x/2.

An equation is a mathematical statement having two algebraic expressions each side of the "equal to (=)" sign. It shows that the expressions written on the left and right sides have an equal relationship. Any mathematical equation is not one if its statement has no "equal to" symbol. It will be considered as a phrase.

Given the expression 9 is half a number and two times the sum of a number,

The phrase begins, "two times the number and nine,"

The equation will be if the number is x.

2(x + 9)

The second phrase is only half as many as the first.

x/2

resulting equation is

2(x + 9) = x/2

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The information that we collects while finding probability is given below.

What is probability?

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilized in the probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.

Now,

Information that we need while calculating probability is :

Information needed to find the probability of multiple events

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The first quartile of the final scores of an algebra class of 20 students is 65.5.

Given, the final scores of an algebra class of 20 students in a high school: 79 74 42 88 81 64 98 78 85 53 77 66 76 52 80 60 77 90 86 77.

We know that Q1 means the first quartile is called the .25 quartile and for n data points, there will be p quantiles which will occur at the position 1+(n−1)p ( p represents the quartile)

Here the sorted data is

42  52  53  60  64  66  74  76  77  77  77  78  79  80  81  85  86  88  90  98

Q1 position = 1+(n-1)p  = 1+(20-1)(0.25) = 5.75

This is 3/4 of the way between the 5th and 6th number which is

= 64 + .75*(66-64)

= 65.5

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Number which is not divisible by 2 = 3515

The correct option is B.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given,

Product of two numbers is divisible by 2.

Given products of numbers

248, 3515, 3412, 236

Numbers divisible by 2 should end with 2, 4, 6, 8, 0

3515 is the number that end with 5, not with 2, 4, 6, 8, 0.

Hence, 3515 is not divisible by 2.

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Answer:

Below

Step-by-step explanation:

The horizontal shift is 2 units to the LEFT because of the +2 added to x

The vertical shift is 3 DOWNWARD due to subtraction 3 from the first portion of the function.

We can see here that using a property of equality, we have:

The teacher's requirement that x be on the left side of the equals sign in the answer 5=x supported by mathematical principles.  According to the symmetric property of equality, x = 5 equals x = 5, If x=5 equals 5 = x, so the two forms are equivalent.

The properties of equality are mathematical rules that apply to any equation of the form a = b. There are several properties, including:

These properties allow us to manipulate and simplify equations, and to determine if two equations represent the same relationship between variables.

According to the Symmetric property of equality, x = 5 is equal to 5 = x. This property states that for any equation a = b, both sides can be exchanged to form the equation b = a. In this case, exchanging the sides of the equation x = 5 results in 5 = x, showing that both forms represent the same mathematical relationship.

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Answer:

horizontal y=1

vertical x=6

Answer:

see below

Step-by-step explanation:

horizontal line:y=1 cause on this line y is always 1 regardless what x is

vertical line: x=6 cause on this line x is always 6 regardless what y is

The equation that gives the answer as 7 is 4 (×) 4 (-) 4 (÷) 4 = 7.

Subtraction and Addition

Many problems in everyday life can be resolved using addition and subtraction. Simply said, the mathematical terminology for "combining" and "taking away" are addition and subtraction. When we combine or increase, we are adding. We take away or decrease when we subtract.

Multiplication is another operation that shares the commutative characteristic. Similar to addition and subtraction, multiplication and division have opposing purposes. While division is intended to demonstrate the dividing or subdividing of a value into smaller groups, multiplication serves the purpose of representing numerous groups of a single value.

4 (×) 4 (-) 4 (÷) 4 = 7

Hence, the equation that gives the answer as 7 is 4 (×) 4 (-) 4 (÷) 4 = 7.

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Answer: 2

Because with your Hint all you had to do was solve the problem and you should have gotten 2 soooo, the day lost 2 seconds per day.

Answer:

the clock lost 2 seconds per day

According to the information in the graph, it can be inferred that Thandi is wrong because the eagle totems are not equivalent to 20% of the totems in Alaska.

To find the Thandi error we must perform the following mathematical operation.

5 + 3 + 2 + 10 = 20

20 / 100 = 0.2

0.2 * 20 = 4

According to the above, it can be inferred that the 5 totems represent more than 20% of the totems in Alaska, since 20% is equivalent to 4 totems. Actually, the 5 totems represent 25%.

Note: This question is incomplete. Here is the complete information:

graph attached

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Answer:

To calculate the radius of the circle, you need to use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides of the triangle. Therefore, in your triangle, the ratio of the length of the side opposite the 60° angle to the sine of the 60° angle is the same as the ratio of the length of the other two sides to their respective sines.

Let's call the two adjacent sides of the triangle a and b, respectively. The Law of Sines states that:

a/sin(60°) = b/sin(30°)

The length of side a is 12, and the length of side b is 12 times the square root of 3. This means that:

12/sin(60°) = (12√3)/sin(30°)

We can rearrange this equation to calculate the radius of the circle:

r = 12 * sin(30°) / sin(60°)

This gives us a radius of 12√3.