The average diameter of red blood cell is 0.000007m. Write this measurement in scientific notation.

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

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Answer:the answer is 40 degrees and 140 degrees

Step-by-step explanation: took the test

Answer:

y = -2 x + 9

Step-by-step explanation:

you'll get the same equation because its linear.

Answer:

y = -2 x + 9 or c

Step-by-step explanation:

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

While the study found an association between diet soda and weight gain, it does not necessarily mean that it causes weight gain. There could be other explanations for this association.

One possible explanation is that people who are already overweight or at risk of gaining weight are more likely to consume diet soda to control their calorie intake. These individuals may also be more likely to engage in other behaviors contributing to weight gain, such as consuming high-calorie foods and engaging in a sedentary lifestyle.

Another explanation is that the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

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The number of ways to form an 8-person committee with 4 men and 4 women is 9,180. The number of ways to form a committee with at least 2 men is 70,320. The number of ways to form a committee with more women than men is 7,620. This can be solved by the concept of  Permutation and Combination.

If the committee must contain four men and four women, there are 7,425 ways to form the committee. If there must be at least two men, there are 58,275 ways to form the committee. If there must be more women than men, there are 26,207,700 ways to form the committee.

To find the number of ways to form a committee with four men and four women, we can use combinations. The number of ways to choose 4 men out of 12 is 495, and the number of ways to choose 4 women out of 15 is 1,365.

To get the total number of ways, we can multiply these numbers:

495 x 1,365 = 7,425.

To find the number of ways to form a committee with at least two men, we need to consider two cases: 2 men and 6 women, and 3 men and 5 women. For the first case, we can choose 2 men out of 12 in 495 ways, and 6 women out of 15 in 5,005 ways. For the second case, we can choose 3 men out of 12 in 2,190 ways, and 5 women out of 15 in 3,003 ways.

To get the total number of ways, we can add these numbers:

495 x 5,005 + 2,190 x 3,003 = 58,275.

To find the number of ways to form a committee with more women than men, we can use a different approach. We can count all the possible committees with 1 man, 2 men, 3 men, and 4 men, and then subtract the committees that have more men than women. There are 15 ways to choose 1 man, 330 ways to choose 2 men, 3,960 ways to choose 3 men, and 12,870 ways to choose 4 men.

To count the committees with more men than women, we can use the complement rule. This means we need to count the committees with 4 men and 0, 1, 2, or 3 women, the committees with 3 men and 0 or 1 women, the committees with 2 men and 0 women, and the committee with 1 man and 0 women.

Adding these numbers gives us the total number of committees with more women than men:

15 + 330 + 1,320 + 2,772 + 330 + 15 = 26,207,700

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The graph of the sequence may pass toward the vertical line test.

Functions are defined as a fundamental part of the calculus in mathematics. These are the special types of relations. A function is visualized as a rule, which gives a unique output for every input x.

Given the information that, he gives two away on day 1, four away on day 2, and eight away on day 3. He continues this pattern for 10 days.

Let x be the number of days and f(x) be the number of cards.

So, the pattern is

f(x)=2, when x=1

f(x)=4, when x=2

f(x)=8, when x=3

Then, the function will be f(x)=2ˣ

The equation of the graph is passing through a vertical line.

The vertical line test is a graphical method that determines whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

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The test statistic for the student who scored 79.6 points on the exam is 1.38

The relationship between a value and the mean of a group of values is quantified by a Z-score. The Z-score is calculated using standard deviations from the mean. A Z-score of zero means the data point's score is equal to the mean score.

Formula for z-score = x - u / σ

According to the question,

Sample size = 20 grades

Mean of sample = 74.8

Sample Standard deviation = 15.5

We have to calculate z-score for the student who scored 79.6 points on the exam.

But here if we see , sample size is less than 30 and population standard deviation is unknown.

So, we can't use Z-score .

t-statistics = x - u / (s/√n)

=> 79.6 - 74.8 / ( 15.5 / √20)

=> 4.8√20 / 15.5

=> 1.38 is required answer

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9514 1404 393

Answer:

  4x +14 . . . feet

Step-by-step explanation:

The perimeter is given by ...

  P = 2(L+W)

  P = 2((x +4) +(x +3)) = 2(2x +7)

  P = 4x +14

The perimeter of the garden is 4x +14 feet.

Answer: 5 1/30

Step-by-step explanation:

8 + 4/5 - 2/3 - 3 - 1/10 = 5 + 1/30

The probability that the team wins a game is given as follows:

0.53 = 53%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The percentages for wins in this problem are given as follows:

Hence the probability that the team wins a game is given as follows:

p = 0.75 x 0.6 + 0.2 x 0.4

p = 0.53 = 53%.

The complete problem is:

During one season, a high school baseball team leads at the end of the fifth inning in 60% of the games. the team wins 75% of the time when they have the lead after 5 innings, but only 20% of the time when they do not. What is the probability that a team wins a single game.

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The The square root of R² (the coefficient of determination) is not r, the correlation coefficient. Therefore, it's false.

It should be noted that the correlation coefficient is used to measure how string the relationship between two variables are.

The correlation formula tells us the linear relationship between the variables. R² is the square of the correlation coefficient.

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Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

Answer:

15805

Step-by-step explanation:

14,500×9÷100=1,305

14,500+1,305=15,805

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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We first graph the three points given.

The centre of the circle seems to be located at the point (3,-2) and therefore, the radius is 2.

Then the equation of the circle is

The graph of this equation exactly goes through these three points as shown in the figure below.

Step-by-step explanation:

25% off means dress will cost 75% of original price.

3/4 * 72 = $58.

yes she has enough money

Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.

The concentration of each solution is calculated as follows;

Concentration = mass/volume

Concentration =  1 /3 = 0.33 kg/L

Concentration = 0.908/3.318 = 0.27 kg/L

Thus, Marcia made a more concentration of salt because she dissolved more salt in a lesser volume of water.

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Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

For A science experiment, Marcia dissolved 1.0 kilograms of salt in 3.0 liters of water, for a different experiment Bobby dissolved 2.0 pounds of salt and 7.0 pints of water.

For Marcia, the concentration:

The ratio of mass to volume = 1/3 = 0.33 kg/L

For Bobby, the concentration:

The ratio of mass to volume = 2/7 pounds/pint = (2/2.205)/(7/2.11)

= 0.907/3.317 = 0.27 kg/L

Thus, Marcia made a more concentrated salt solution because the concentration is 0.33 kg/L which is more than the concentration of 0.27 kg/L.

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Answer:

multiples of 50:   50, 450, 500

not multiples:   515, 410, 555, 540

Step-by-step explanation:

we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

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Answer:

47 tickets

Step-by-step explanation:

1000=300+15t

subtract 300

700=15t

divide by 15

46 2/3=t

round up

47

Answer:

5/9

Step-by-step explanation:

no problem dude

Answer:

its 7 2/3

Step-by-step explanation: you divide 23 by 3 until i cant no more and then add the remaining over the 3 u divided it by

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

\( m\angle CBE = 60\degree \\

m\angle FEB = 40\degree \)

Step-by-step explanation:

If the given triangle is drawn to scale, then on measuring the required angles with protractor, we find:

\(m\angle CBE = 60\degree \\

m\angle FEB = 40\degree \\\)

Answer:

hiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

First Term of the Geometric Sequence: 6

a = 6

Common Ratio: 2

nth Term of the Sequence Formula: an=6⋅2^n−1

Answer:

8

Step-by-step explanation:

using the distance formula

The sum of all values of $z$ is $\frac{2}{3} - 1 = \boxed{-\frac{1}{3}}.$

We begin by substituting $u = x/3$ in the given equation to get $f(u) = (3u)^2 + (3u) + 1 = 9u^2 + 3u + 1.$ Now we can substitute $z = u$ to get $f(3z) = 9z^2 + 3z + 1.$ Setting this equal to $7,$ we have the quadratic $9z^2 + 3z - 6 = 0.$ Dividing by $3$ and simplifying gives us $3z^2 + z - 2 = 0.$ Factoring gives us $(3z-2)(z+1) = 0,$ so the solutions are $z = -1$ and $z = \frac{2}{3}.$ Therefore, the sum of all values of $z$ is $\frac{2}{3} - 1 = \boxed{-\frac{1}{3}}.$

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Answer:

(-2,-1)

Step-by-step explanation: