what is the term for the rotational movement of the nose of the plane

Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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Answer:

it will rain 2 rains a day so if 1 month it will convert to 30 days and divide all of it so the answer its:132 all of the rain in 1 month hope it helpsss

Answer:

27 meters

Step-by-step explanation:

Given

\(Fishing\ Line =12m\) ----- from hook

\(Andy =15m\) ---- from the fishing line

Required

Distance between Andy and the hook

The scenario can be represented as:

Hook ----------------------- Fishing Line ----------------------------- Andy

Using the above representation, the distance (d) between Andy and the hook is:

\(d = Andy + Fishing\ Line\)

\(d = 15m + 12m\)

\(d = 27m\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

3.87 ounces

Step-by-step explanation:

12.9×.3= 3.87

( when you multiply percentages, 30% turns into

.3)

The equation of line is y = 35x + 10 and Juan followed the instructions

The solution is Option A. Yes, his free throws can be represented by

y = 35x + 10

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 45 )

Let the second point be Q ( 2 , 80 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 80 - 45 ) / 2 - 1

Slope m = 35

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 45 = 35 ( x - 1 )

On simplifying the equation , we get

y - 45 = 35x - 35

Adding 45 on both sides of the equation , we get

y = 35x + 10

Hence , the equation of line is y = 35x + 10

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The complete question is :

Juan recorded the total number of free throws he attempted during practices. His results are shown in the table.

Number of practices = { 1 , 2 , 3 , 4 }

Number of throws attempted = { 45 , 80 , 115 , 150 }

Juan's coach told him to attempt 10 free throws before the first practice and then 35 free throws each practice. Did Juan follow his coach's instructions?

A) Yes, his free throws can be represented by y = 35x + 10.

B) Yes, his free throws can be represented by y = 45x.

C) No, his free throws can be represented by y = 35x.

D) No. his free throws can be represented by y = 45x.

Answer:

B. quadrant IV, sin 0 = -3/5

The required value of sinΦ = -3 / 5 and Quadran III and Quadrant IV.

Given,
cos 0 = 4 / 5 and sin 0 < 0.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

cosΦ = 4/5 = base/hypotenuse

base(b) = 4 and hypotenuse(h) = 5, perpendicular(p) = ?

Using Pythagorean theorem
h² = p² + b²
5² = p² + 4²
p² = 25 - 16
p = √ 9
p = 3
now
sinФ = p / h =  -3/5    ( since sinФ < 0 given )
And in quadrant 3 and 4 values of the sin is always negative.

Thus, the required value of sinΦ = -3 / 5 and Quadran III and Quadrant IV.

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To identify the quadrant of the terminal side of 0 and find sin 0 to be determined.

Answer:

Step-by-step explanation:

Between 9:00 am and 10:45 am, there have been 1 hour and 45 minutes or 1.75 hours have passed. Let x be the speed of the slower cyclist and x+ 5 be the rate of the second cyclist. The given situation is best represented through the equation below,

                                x(1.75) + (x + 5)(1.75) = 47.25 km

The value of x from the equation is 11. Thus, the two bicyclists' rates are 11 km/h and 16 km/h.

Answer:

yes cause its in a form of y=mx+b

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

I got to K-12 and this was correct

Answer:

\(Volume = 54\,\pi\)

Step-by-step explanation:

Recall the formula for the volume of a cylinder:

\(Volume=\pi \,R^2\,H\)

where R is the radius of the cylinder's base, and H is the cylinder's height.

Therefore, in our case the volume becomes:

\(Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi\)

Answer:

h+r=34

r=34-h.....1

total surface area=2πr(r+h)

2992=2πr×34

2992/34=2πr

88/2=22/7×r

44×7/22=r

r=2×7=14cm

Answer:

\(x = \frac{5}{p - 1} \)

p ≠ 1

Step-by-step explanation:

20 = 4x (p - 1)

20 = 4xp - 4x

4xp - 4x = 20

(4p - 4)x = 20 / : (4p - 4)

\(x = \frac{20}{4p - 4} = \frac{20}{4(p - 1)} = \frac{5}{p - 1} \)

we determine the scope of the definition:

4p - 4 ≠ 0

4p ≠ 4 / : 4

p ≠ 1

The graph relating the variables a and b would be a downward-sloping line or a negative correlation. When it is stated that "if a decreases, then b will also decrease," it indicates a negative relationship or correlation between the variables a and b.

In this case, as the value of a decreases, the value of b also decreases. This relationship can be visually represented by a downward-sloping line on a graph.

As you move from left to right along the x-axis (representing a), the corresponding values on the y-axis (representing b) decrease. This negative correlation suggests that there is an inverse relationship between the two variables, where changes in a are associated with corresponding changes in the opposite direction in b.

The extent and strength of the negative correlation can vary, ranging from a perfect negative correlation (a straight downward-sloping line) to a weaker negative correlation where the relationship is less pronounced.

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Answer:

x=35°

Step-by-step explanation:

please mark as brainliest

Check the picture below.

Answer:

then get social media

Step-by-step explanation:

Answer:

True is the answer

Step-by-step explanation:

x+9>21

now add 15 with 9

24>21 would be a true statement

Answer:

\(\bold{TRUE}\)

Step-by-step explanation:

Hi there!

Plug in the value of x and solve:

15+9>21

24>21

Is 24 greater than 21? Sure.

Thus, \(\bold{TRUE}\) is our final answer.

Hope it helps! Enjoy your day!

~Just a teen willing to help others

\(\bold{GazingAtTheStars}\)

Answer:

A = 528

Step-by-step explanation:

Formula of the area of a parallelogram: A = b*h

A = 32 * 16.5

= 528

Answer: Area of Parellelogram = bxh

Base= 32cm

Height= 16.5cm

So,

Area of Parellelogram = 32cm x 16.5cm

= 528cm square

Step-by-step explanation:

...........................

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Answer:

a. $73.50

b. $1298.45

Step-by-step explanation:

6% of $1224.95 is $73.50

add them and it's $1298.45 total

One angle be x

ATQ

\(\\ \sf\longmapsto x+2x-6=90\)

\(\\ \sf\longmapsto 3x-6=90\)

\(\\ \sf\longmapsto 3x=96\)

\(\\ \sf\longmapsto x=32\)

\(\\ \sf\longmapsto 2x-6=2(32)-6=58°\)

Answer:

58°

Step-by-step explanation:

The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°

x + 2x - 6° = 90°

3x = 90° + 6°

3x = 96°

x = 96° : 3

x = 32°

Substitution :

2x - 6°

= 2 × 32° - 6°

= 64° - 6°

= 58°

Answer: 20.4

Step-by-step explanation:

The exponential distribution is used to calculate probabilities and percentiles for the time between arrivals at a clinic. Minitab can simplify the calculations.

a) The probability that a randomly selected patient will arrive less than 4 minutes after the previous patient can be calculated using the exponential distribution.

b) Using Minitab, we can input the necessary values and obtain the probability directly from the software.

c) The probability that a randomly selected patient will arrive between 3 and 6 minutes after the previous patient can also be calculated using the exponential distribution.

d) Again, we can use Minitab to input the values and obtain the desired probability.

e) The probability that a randomly selected patient will arrive exactly 5 minutes after the previous patient can be calculated using the exponential distribution's probability density function.

f) To find x such that P(X ≤ x) = 0.9, we need to find the value of x corresponding to the 90th percentile of the exponential distribution.

g) Using Minitab, we can input the necessary values and obtain the desired value of x corresponding to the 90th percentile.

a) The exponential distribution is characterized by the parameter lambda (λ), which is equal to the average rate of arrivals. In this case, the average rate is A+4 patients per minute.

The probability that a patient will arrive less than 4 minutes after the previous patient is given by the cumulative distribution function (CDF) of the exponential distribution.

The CDF of the exponential distribution is given by P(X ≤ x) = 1 - e^(-λx). Plugging in the values, we have P(X ≤ 4) = 1 - e^(-(A+4)*4).

b) To solve part a) using Minitab, we can use the software's probability distribution calculator. Input the appropriate values (A+4 for the rate and 4 for the desired time) and obtain the probability.

c) Similarly, to find the probability that a patient will arrive between 3 and 6 minutes after the previous patient, we need to calculate P(3 ≤ X ≤ 6). Using the exponential distribution's CDF, we have P(3 ≤ X ≤ 6) = e^(-3λ) - e^(-6λ).

d) Using Minitab, we can input the values (A+4 for the rate, 3 for the lower limit, and 6 for the upper limit) and obtain the probability.

e) The probability that a patient will arrive exactly 5 minutes after the previous patient can be calculated using the exponential distribution's probability density function (PDF).

The PDF of the exponential distribution is given by f(x) = λe^(-λx). Plugging in the values, we have f(5) = (A+4)e^(-(A+4)*5).

f) To find x such that P(X ≤ x) = 0.9, we need to find the value of x corresponding to the 90th percentile of the exponential distribution.

The 90th percentile is given by the inverse of the exponential distribution's CDF. Solve the equation 1 - e^(-λx) = 0.9 to find x.

g) Using Minitab, we can input the value of A+4 for the rate and 0.9 for the desired probability. Minitab will calculate the corresponding value of x for the 90th percentile of the distribution.

In conclusion, the exponential distribution can be used to calculate probabilities and percentiles related to the time between arrivals at the clinic. Minitab can be utilized to simplify the calculations and obtain the results efficiently.

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Answer:

Step-by-step explanation:

Great job and good luck :)

Gabriella went skiing for 4 hours and the algebraic equation to represent the situation is 35 + 15t = 95, where t is the number of hours she went skiing.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An algebraic equation is the equality of expressions.

Let t = number of hours she went skiing

y = amount she paid in total

If she paid $35 to rent skis and $15 an hour to ski and paid a total of $95, we can express this as

$35 + $15(t) = $95

Solving for the value of t, we'll have

15t = 95 - 35

15t =60

t = 4

Hence, she went skiing for 4 hours.

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The midpoint of a class is indeed calculated by adding the lower and upper limits of the class and then dividing the sum by two. The statement is true.

This concept is commonly used in statistics and data analysis.

In statistical data, classes are often created to group data points within a range. Each class has a lower limit and an upper limit, defining the range of values it encompasses. The midpoint is a representative value within the class that provides a measure of its central tendency.

To calculate the midpoint, the lower and upper limits of the class are added together, resulting in the total range of the class. Dividing this sum by two gives the midpoint. It is important to note that the midpoint is not necessarily an actual data point; rather, it is a statistical measure used to represent the central value within a class.

For example, suppose we have a class with a lower limit of 10 and an upper limit of 20. Adding these values gives us 30, and dividing by two yields a midpoint of 15. This means that, for the purposes of analysis, we can consider the midpoint of the class as 15.

By calculating midpoints for each class in a data set, statisticians can summarize and analyze data in a more manageable and meaningful way. Midpoints help provide a sense of the central tendencies and distributions within the data, facilitating further statistical analysis and interpretation.

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