jamie used a microscope to measure the diameter of a hair. she found that the diameter of the hair was 0.000072 meter. how is this number written in scientific notation

The answer is low accuracy and low precision.

Given:

A hunter is practicing his aim using a practice target. he takes 5 shots. all 5 shots hit the target, but they do not hit or surround the bullseye. in addition, all 5 shots are very spread apart on the target.

From the given statements :

All 5 shots hit the target, but they do not hit or surround the bullseye here no shots hit or surround the bullseye means there is no closeness to true value,Hence low accuracy.

All 5 shots are very spread apart on the target here all shots are very spread apart means there is no closeness between the shots,Hence low precision.

Therefore the answer is low accuracy and low precision.

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Answer:

22.5

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)

Answer:

6/7

Step-by-step explanation:

6 out of the 7 areas are shaded.

Have a good day!

The final answer is "e > 10 and e < 7."

The statement that must always be false from the given options is "e > 10 and e < 7.

Statement1: e > 12 or f > 12

This statement is true when e is greater than 12 or f is greater than 12, or both. It is false when both e and f are less than or equal to 12.

Statement 2: e = 10 or e = 20

This statement is true when e is either 10 or 20. It is false when e is any number other than 10 or 20.

Statement 3: e > 12 and e < 15This statement is true when e is greater than 12 and less than 15.

It is false when e is less than or equal to 12 or greater than or equal to 15.

Statement 4: e > 10 and e < 7This statement cannot be true because e cannot be simultaneously greater than 10 and less than 7.

Therefore, this statement must always be false.

The final answer is "e > 10 and e < 7."

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The expression that must always be false is e > 12 and e < 15. If e > 12, then it cannot be less than 15, so this expression is contradictory.

Inequalities are mathematical statements that use symbols such as <, >, ≤, or ≥ to compare two values. Inequalities are used to describe relationships between numbers and variables, just like equations.

Inequalities do not require that the values on either side of the inequality be equal.

A logical contradiction is a statement or proposition that is self-contradictory. A statement is contradictory when it asserts that something is true and false at the same time, or that something cannot be true and false at the same time. A logical contradiction is impossible to be true, and therefore must always be false.

For instance, the expression "e > 12 and e < 15" is contradictory since if e is greater than 12, it cannot be less than 15. Therefore, the expression must always be false.

We can determine the expression that must always be false by analyzing each expression given. We will find the expression that contains contradictory values, which is impossible to be true. Here are the four expressions given:  e > 12 or f > 12 e = 10 or e = 20 e > 12 and e < 15 e > 10 and e < 7Out of these four expressions, only the third expression e > 12 and e < 15 is contradictory. If e is greater than 12, then it cannot be less than 15. Therefore, e > 12 and e < 15 must always be false.

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The marginal cost of the function C(Q) = aQ^3 + bQ^2 + cQ + d is given by MC(Q) = 3aQ^2 + 2bQ + c.

To find the marginal cost, we need to differentiate the cost function C(Q) with respect to Q. Let's differentiate each term separately:

d/dQ (aQ^3) = 3aQ^2

d/dQ (bQ^2) = 2bQ

d/dQ (cQ) = c

Adding these differentials together, we get the marginal cost:

MC(Q) = 3aQ^2 + 2bQ + c

The critical Q* at which the cost is minimized can be found by setting the marginal cost MC(Q) equal to zero and solving for Q. However, to determine the condition on a, b, c, and d for cost minimization, we would need more information or constraints related to the problem.

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Answer:

∠ 2 = 140°

Step-by-step explanation:

∠ 1 and ∠ 2 are alternate exterior angles and are congruent , so

∠ 2 = ∠ 1 = 140°

Answer:

B. 75%

Step-by-step explanation:

If about a quarter ( 25% ) do like non-fiction, then we know that the rest do not prefer it ( 75% )

75 + 25 = 100

Answer:

18in^2

Step-by-step explanation:

A=1/2d^2=1/2*6^2=18in^2

Answer:

\(\huge\boxed{Step \ 3}\)

Step-by-step explanation:

In Step # 3, We need to divide rather than to subtract. So, the first mistake is done in step 3.

Answer:

\(\Large \boxed{\mathrm{Step \ 4}}\)

Step-by-step explanation:

\(20 +20 \div 4-2\)

Division should be performed first, not subtraction.

\(20+5-2\)

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

The probability that the researcher will commit a Type II error for the particular alternative value of the parameter at which she computer the power is  0.10.

Since  The type 2 error should be committed at the time when the alternative hypothesis should be rejected

So, it can be like

Power = 1 - P(type 2 error)

Given that power = 0.90 ;

P(type 2 error) = probability of committing a type 2 error.

Now

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

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Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Answer:

< x = 120°

Step-by-step explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

324π ft³/ min  the rate of change of a cylinder.

What is the volume of the cylinder?

Find  dV/dt

h = 3r/2

Volume of cylinder V = πr²h

  v = πr²(3r/2)

   v = 3/2 πr³

   differentiate both side

\(\frac{dv}{dt} = 3 . \frac{3}{2} \pi r^{2} dr/dt\)

\(\frac{dv}{dt} = 3 . \frac{3}{2} \pi 6^{2} (2)\)  = 324π ft³/ min

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Answer:

19

Step-by-step explanation:

First you figure out x/2=13

Then you find out x=26

So then you figure out x+7=26

Which is then x=19

The number of boxes Norachai had on Monday is 19 boxes.

Given that, on Tuesday Norachai bought seven boxes.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of boxes had on Monday be x.

Now, the number of boxes had on Tuesday

= x+7

Now, on Wednesday half of all the boxes that he had were destroyed

= (x+7)/2

As, given on Thursday he had left boxes = 13

So, (x+7)/2 = 13

⇒ x+7=26

⇒ x=19 boxes

Therefore, the number of boxes Norachai had on Monday is 19 boxes.

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If y*=y1/2(y2+1) then -3(16* - 9*) = -10.5y1(y2 + 1), called polynomial.

A polynomial is an expression that consists of variables, numbers, and operations (like addition, subtraction, multiplication, and division). It is similar to a mathematical equation, but instead of an equals sign, it uses coefficients and variables in a power form. The power of a polynomial is determined by the highest power of the variables in the expression.

For example, if the polynomial is x2 + 5x + 2, then the power is 2. Polynomials are used in many areas of mathematics, such as calculus, algebra, and number theory.

If y*= y1/2(y2+1) then -3(16* - 9*)

= -3(16(y1/2(y2 + 1)) - 9(y1/2(y2 + 1)))

= -3(8y1(y2 + 1) - 4.5y1(y2 + 1))

= -3(3.5y1(y2 + 1))

= -10.5y1(y2 + 1)

In this problem, 16* is equal to 16(y1/2(y2 + 1)) and 9* is equal to 9(y1/2(y2 + 1)). When -3 is multiplied to 16* - 9*, the result is -3 times the difference of 16* and 9*. The expression then simplifies to -10.5y1(y2 + 1).

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(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. (b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials.

(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. Assuming each trial represents a tire sold, we can calculate the refund amount for each trial based on the difference between the tire's lifetime and 30,000 miles. By averaging the refund amounts over the trials, we can determine the average cost of the promotion. Let's simulate at least 1,000 trials to obtain a reliable estimate.

(b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials. For each trial, we calculate the refund amount as we did in part (a). Then, we count the number of trials where the refund amount exceeds $25 and divide it by the total number of trials. This will give us the probability of refunding more than $25. By simulating at least 1,000 trials, we can obtain a reasonably accurate estimation of the probability.

Due to the constraints of the current text-based interface, I'm unable to perform the simulations and calculations required to provide you with the specific numerical answers. However, you can apply the described methodology to conduct the simulations using programming or spreadsheet software to obtain the desired results.

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Answer:

ion know dis one

Step-by-step explanation:

Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?

\(f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}\)

Hence, the length of the living room in the scale drawing is of 4/3 ft.

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Answer:

The guy above is right its 4/3

Step-by-step explanation:

Hope this helped!!!

Please correct me if i'm wrong! :D

The smallest positive integer value of x for which\(f(x) = 2^x + 2\) exceeds \(g(x) = 12x + 8\)  is x = 4.

To find the smallest positive integer value of x for which the value of\(f(x) = 2^x + 2\) exceeds the value of g(x) = 12x + 8, we need to compare the two functions and determine when the inequality is satisfied.

Setting up the inequality, we have:

\(2^x + 2 > 12x + 8\)

First, let's simplify the inequality by subtracting 8 from both sides:

\(2^x - 6 > 12x\)

Now, we can try to solve this inequality by considering different values of x.

However, it is challenging to find an exact solution by hand due to the exponential nature of \(2^x.\)

Therefore, let's graph the two functions,\(f(x) = 2^x + 2\) and g(x) = 12x + 8, to visually determine the point of intersection.

Upon graphing the functions, we observe that the graphs intersect at some point.

We can see that the value of f(x) starts to exceed g(x) as x increases.

To find the smallest positive integer value of x for which f(x) exceeds g(x), we need to analyze the graph and determine the first integer value after the intersection point where f(x) is greater than g(x).

Examining the graph, we find that the smallest positive integer value of x for which f(x) exceeds g(x) is x = 4.

Therefore, the answer is x = 4.

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Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

To solve the equation 2sin(x)cos(x) = -cos(x) on the interval 0 < x < 2π, we can simplify the equation and solve for x.

First, let's factor out cos(x) from both terms:

cos(x)(2sin(x) - 1) = 0

Now, we have two possible cases:

Case 1: cos(x) = 0

On the interval 0 < x < 2π, cos(x) is equal to 0 at x = π/2 and x = 3π/2.

Case 2: 2sin(x) - 1 = 0

Solving for sin(x), we get sin(x) = 1/2. On the interval 0 < x < 2π, sin(x) is equal to 1/2 at x = π/6 and x = 5π/6.

Therefore, the solutions to the equation 2sin(x)cos(x) = -cos(x) on the interval 0 < x < 2π are x = π/2, x = 3π/2, x = π/6, and x = 5π/6. Arranged from lowest to highest, the solutions are:

π/6, π/2, 5π/6, 3π/2

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Answer:

what's your question???

I can't understand:-//

Answer:

14 it is not 14

Step-by-step explanation:

Answer:

ITS NOT 14

Step-by-step explanation:

I got it wrong anything besides that

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis (p0) = 0.2

Sample size (n) = 75

Sample proportion (sp) = 24/75 = 0.32

Significance level = 0.01

\(H_{o}\) : p = 0.2

\(H_{a}\) : p ≠ 0.2

Test statistic percentage = ( \(sp\) - \(p_{o}\) ) / \(\sqrt{\frac{(p_{o})(1-p_{o} )}{n} }\)  

Left critical \(z_{0.01}\) = -2.5758

Right critical \(z_{0.01}\) = 2.5758

Calculated statistic = \(\frac{0.32-0.2}{\sqrt{\frac{(0.32)(1-0.32)}{75} } }\) = 2.2278

Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.

Therefore,

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

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Answer:

4x^2

Step-by-step explanation:

Call the unknown side y

The area of the figure is

8x^3 *y = 32 x^5

Divide each side by 8 x^3

8x^3 *y / 8x^3 = 32 x^5 / 8x^3

y = 4 x^2

The unknown side is 4 x^2

Answer:

4x^2

Step-by-step explanation:

32x^5 / 8x^3 = 4x^2

or 4x^2 * 8x^3 = 32x^5

so 4x^2