A study investigated rates of fatalities among patients with serious traumatic injuries. Among 61,909 patients transported by helicopter, 7813 died. Among 161,566 patients transported by ground services, 17,775 died (based on data from "Association Between Helicopter vs Ground Emergency Medical Services and Survival for Adults With Major Trauma," by Galvagno et al., Journal of the American Medical Association, Vol. 307, No. 15). Use a 0.01 significance level to test the claim that the rate of fatalities is higher for patients transported by helicopter. a. Test the claim using a hypothesis test. (15 points) b. If you were to follow up the hypothesis test performed in part a with a confidence. interval, what would be the appropriate confidence level to use? (3 points) Paragraph v B I U A V V ***

The basic rigid motions are A) Translation, reflections and rotations

In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.

A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).

-------------------------

A turn is also called A) rotation

A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.

Answer:

A) . 5(20+4)5(20+4)

Step-by-step explanation:

5(20+4)5(20+4)

5(24) ×5(24)

120 × 120

14400

We conclude: that the parents will get a fairly accurate estimate of his height at age 21 years because the data are clearly correlated.

The correct option is:  such a prediction could be misleading, since it involves extrapolation.

We find the regression equation has positive slope and for a new born child height is intercept

H = 0.3739A + 20.4595

is the relation between height and age.

When we find 252 months this is very far from the age we have considered and hence:

A = 252

H = 0.3739(252) + 20.4595

H = 114.6823

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The given question is incomplete, complete question is:

John's parents recorded his height at various ages up to 66 months. Below is a record of

the results.

Age (months) 36 48 54 60 66

Height(months) 35 38 41 43 45

John's parents decide to use the least-squares regression line of John's height on age

based on the data in the previous problem to predict his height at age 21 years (252

months). We conclude

A) John's height, in inches, should be about half his age, in months.

B) The parents will get a fairly accurate estimate of his height at age 21 years, since

the data are clearly correlated.

C) such a prediction could be misleading, since it involves extrapolation.

D) all of the above.

(a) Since f is exponential, we can write f(t) = \(Ce^{kt}\) for some constants C and k. We can use the information f(6) = 13 and f(14) = 23 to solve for C and k:

f(6) = \(Ce^{6K}\) = 13

f(14) = \(Ce^{14k}\) = 23

Now that we have divided both equations, we have:

f(14)/f(6) = \(Ce^{14K} / Ce^{6K}\)

                 = \(e^{8k}\)  = 23/13

When we take the natural logarithm of both sides, we obtain:

8k = ㏑ 23/13

k = 1/8 ln (23/13)

Substituting this value of k into the first equation, we get:

\(13 = Ce^{6k} = Ce^{6*1/8 ln (23/13)} = C(23/13)^{3/4}\)

Solving for C, we get:

\(C = 13/(23/13)^{3/4} = 13 (13/23)^{3/4}\)

Therefore, the formula for f(t) assuming f is exponential is:

\(13 (13/23)^{3/4} e^{t/8ln(23/13)}\)

(b) To find \(f^{-1}(P)\), we solve for t in the equation P = f(t):

\(P = 13(13/23)^{3/4} e^{t/8ln(23/13)} = t = 8 ln (P/13(13/23)^{3/4} ) ln(23/13)\)

Therefore, the formula for \(f^{-1} (P)\) is:

\(f^{-1} (P) = 8ln (P/ 13(13/23)^{3/4} ) ln (23/13)\)

(c) To find f(50), we simply plug in t = 50 into the formula for f(t):

\(f(50) = 13 (13/23)^{3/4} e^{50/8ln(23/13)} = 39\)

(rounded to the nearest whole number)

(d) To find \(f^{-1}(50)\) , we plug in P = 50 into the formula for \(f^{-1} (P)\):

\(f^{-1}(50) = 8 ln (50/13(13/23)^{3/4} ) ln (23/13) = 35.7\)

(rounded to at least one decimal)

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It appears that a Type II error was made in the hypothesis test conducted by the user.

A Type II error, also known as a "false negative," is a statistical error that occurs when a null hypothesis is actually true, but a hypothesis test fails to reject the null hypothesis, leading to the incorrect conclusion that there is no significant effect or difference when, in fact, there is.

According to the given information:

Based on the given information, it appears that a Type II error was made in the hypothesis test conducted by the user.

In this case, the user claimed that the mean number of shades the toothpaste whitens teeth is less than four, and conducted a hypothesis test to test this claim. However, the given information states that the true mean number of shades the toothpaste whitens teeth is actually four. If the user failed to reject the null hypothesis, it means that they did not find enough evidence to support their claim that the mean number of shades is less than four, even though it is actually true.

This would be a Type II error because the null hypothesis (which assumes that the mean number of shades is four) is actually true, but the test failed to detect this and erroneously failed to reject the null hypothesis. In other words, the user made an error in concluding that there is no significant effect or difference, when in fact there is.

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The cash balance at the end of June is $3000.

The amounts transferring from one account to another are said to be disbursements in accounting.

So, there are subtracted from the initial balance to get the current balance.

It is given that,

On June 1, 2021, Portugal inc. reported a cash balance of $12,000.

During June, Portugal made deposits of $5000 and made disbursements totaling $14,000.

The initial cash balance = $12,000

Made a deposit of $5000 = $12,000 + $50000

⇒ $17, 000

Also made disbursements of $14,0000

⇒ Cash balance at the end = $17,000 - $14,000 = $3000

Therefore, in the end, the cash balance is $3000.

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Mean of the sampling distribution of X is 180 and the standard deviation is approximately 4.96, which represents the average variability in sample proportions. The sampling distribution of X is approximately normal due to the Central Limit Theorem. The probability that an SRS of 1500 American adults will contain between 155 and 205 African Americans can be calculated using the normal approximation to the binomial distribution. A polling organization can compare the observed proportion of African Americans in the sample with the known proportion to check for undercovering and other sources of bias, helping identify potential issues and improve sampling methodology.

To calculate the mean and standard deviation of the sampling distribution of X, we need to use the properties of a simple random sample (SRS). In an SRS, each individual has an equal chance of being selected.

Mean of the sampling distribution of X:

The mean of the sampling distribution of X is equal to the population proportion. In this case, the proportion of African Americans in the population is 0.12.

Mean = population proportion * sample size

Mean = 0.12 * 1500

Mean = 180

Therefore, the mean of the sampling distribution of X is 180.

Standard deviation of the sampling distribution of X:

The standard deviation of the sampling distribution of X is given by the formula:

Standard deviation = sqrt((population proportion * (1 - population proportion)) / sample size)

Standard deviation = sqrt((0.12 * (1 - 0.12)) / 1500)

Standard deviation ≈ 4.96

Interpretation of the standard deviation:

The standard deviation of the sampling distribution of X represents the average amount of variability or dispersion in the sample proportions that we would expect to see across different samples of the same size.

The sampling distribution of X is approximately normal due to the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, regardless of the shape of the population distribution, the sampling distribution of the sample mean or proportion tends to follow a normal distribution.

To calculate the probability that an SRS of 1500 American adults will contain between 155 and 205 African Americans, we can use the normal approximation to the binomial distribution.

P(155 ≤ X ≤ 205) = P(X ≤ 205) - P(X ≤ 155)

Using the normal approximation, we can calculate the probability using the mean and standard deviation of the sampling distribution of X:

P(X ≤ 205) = P(Z ≤ (205 - 180) / 4.96)

P(X ≤ 205) ≈ P(Z ≤ 5.04)

Similarly, calculate P(X ≤ 155) using the same formula.

A polling organization can use the results from the previous question to check for undercoverage and other sources of bias by comparing the observed proportion of African Americans in the sample (based on the calculated probability) with the known proportion of 12% in the population. If the observed proportion significantly differs from 12%, it suggests the possibility of undercoverage or bias in the sample, indicating that certain groups might be underrepresented or overrepresented. This information can help identify potential sources of bias and improve the sampling methodology to obtain a more representative sample.

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Consider the string "hello". The ASCII values of each character are: h: 111(ii) ℎ() = c1 + 3c2 + c3 + 3c4 + ⋯ = 104 + 3(101) + 108 + 3(108) + 111 + 3(111) ℎ() = 104 + 303 + 108 + 324 + 111 + 333ℎ() = 1283(iii ) Consider the string "hallo".

The ASCII values of each character are: h: 104a: 97l: 108l: 108o: 111ℎ() = c1 + 3c2 + c3 + 3c4 + ⋯ = 104 + 3(97) + 108 + 3(108) + 111 + 3(111)ℎ() = 104 + 291 + 108 + 324 + 111 + 333ℎ() = 1271(b)Let the modulus m be 13, which is a prime number. Least residues of h(s) and h(t) are: ℎ() = 1283 mod 13ℎ() = 5 mod 13ℎ() = 1271 mod 13ℎ() = 9 mod 13(c)Two inputs that differ by only one bit should have very different hash values. In this case, the difference between the hash values of the two strings is only 4.

Therefore, the hash function ℎ() mod 13 is not a good hash function to use in cryptography because similar inputs will produce similar outputs.(d) When storing passwords in a database, it is necessary to hash the passwords before storing them to protect them from unauthorized access. Hash functions like the one described in this problem are useful because they produce fixed-length outputs regardless of the input length, making it easy to store and compare passwords.

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Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x               - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

Answer: x=t/r+s/r

How to:  Isolate the variable by dividing each side by factors that don't contain the variable.

Have a great day and stay safe !

Answer:

\(solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} \)

The two numbers are 3 and 11 respectively

From the information given, we have that

The first number is x

The second number is y

Also,

2x - y = -5

x + y = 14

Make 'x' the subject from equation 2

x = 14 - y

Make 'x' the subject

2(14-y) - y = -5

28 - 2y - y= -5

collect like terms

-3y = -33

y = 11

Substitute the values

x = 3

Hence, the values are 3 and 11

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Answer:

we would need to see that plot done by the regression line, unless you're supposed to do that yourself?  maybe w/ Excel?

Step-by-step explanation:

Answer:

h = 3

Step-by-step explanation:

y-6 = 4/7 (x-(-4)

y - 6 = 4/7 (x+4)

y - 6 = 4/7 x + 16/7

y = 4/7 x + 16/7 + 6

y = 4/7 x + (16+42)/7

y = 4/7 x + 58/7

10 = 4/7 x + 58/7

4/7 x = 10 - 58/7

4/7 x = (70-58)/7

4/7 x = 12/7

7/4 * 4/7 x = 12/7 * 7/4

x = 3

The vertex of the parabola is (0, -2).

To find the vertex of a parabola in standard form (y = ax^2 + bx + c), we use the formula -b/2a for the x-coordinate of the vertex. In this case, y = 6x^2 - 2, so a = 6 and b = 0 (there is no x-term).

Thus, the x-coordinate of the vertex is -b/2a = -0/12 = 0. To find the y-coordinate, we substitute x = 0 into the equation: y = 6(0)^2 - 2 = -2.

Therefore, the vertex of the parabola y = 6x^2 - 2 is at the point (0, -2). The parabola opens upwards because a is positive (6 > 0), and it is symmetric about the vertical line through the vertex.

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Answer:

I'm pretty sure the answer is letter B or letter C

Step-by-step explanation:

C. the balloon starts at a height of 0 ft and rises at a rate of 100 ft. Brainly

Answer:

y = \(\frac{2}{5}\) x + \(\frac{18}{5}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \(\frac{6-2}{6-(-4)}\) = \(\frac{4}{6+4}\) = \(\frac{4}{10}\) = \(\frac{2}{5}\) , then

y = \(\frac{2}{5}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 6 )

6 = \(\frac{2}{5}\) (6) + c = \(\frac{12}{5}\) + c ( subtract \(\frac{12}{5}\) from both sides )

6 - \(\frac{12}{5}\) = c , then

c = \(\frac{18}{5}\)

y = \(\frac{2}{5}\) x + \(\frac{18}{5}\) ← equation of line

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅  = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence  velocity

VR = (18 cos∅   + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

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Answer:

can you add more context to the question it makes no sense with current given clues

Answer:

90

Step-by-step explanation:

rectangle: 12*6 = 72

triangle: 6*6/2 = 18

added together: 72+18 = 90 lol

Answer: Well, 1% of 300 would be the physical differences differentiated through the objects that occur through the dynamic of PERCENTAGE, equally through those dynamics. Acouster of meanings through all.

  Equvielentally the percentage of the meaning would be the only substitute of threshold so the answer is %62 or if its a type in the abox answer just copy what I've said above, Thank you. Mark me brainliest :D

Answer:

64% of 300 is the same as 64 times the value of 1% of 300

Step-by-step explanation:

64% of 300 is the same as 64 times the value of 1% of 300 because 64/1 is 64.

Meaning:

0.64 * 300 = 64(0.01*300)

192 = 64(3)

192 = 192

Hope this helps :)

Hey there!

ORIGINAL EQUATION

|5x - 4| = 11

~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #1

5x - 4 = 11

ADD 4 to BOTH SIDES

5x - 4 + 4 = 11 + 4

CANCEL out: -4 + 4 because it gives you 0

KEEP: 11 + 4 because it help solve for the x-value

NEW EQUATION: 5x = 11 + 4

SIMPLIFY IT!

5x = 15

DIVIDE 5 to BOTH SIDES

5x/5 = 15/5

CANCEL out: 5/5 because it gives you 1

KEEP: 15/5 because it help solve for the x-value

NEW EQUATION: x = 15/5

SIMPLIFY IT!

x = 3

~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #2

5x - 4 = -11

ADD 4 to BOTH SIDES

5x - 4 + 4 = -11 + 4

CANCEL out: -4 + 4 because it gives you 0

KEEP. -11 + 4 because it help solve for the x-value

NEW EQUATION: 5x = -11 + 4

SIMPLIFY IT!

5x = -7

DIVIDE 5 to BOTH SIDES

5x/5 = -7/5

CANCEL out: 5/5 because it gives you 1

KEEP: -7/5 because it help solve for the x-value

NEW EQUATION: x = -7/5

SIMPLIFY IT!

x = -7/5

~~~~~~~~~~~~~~~~~~~~~~~

ANSWER

x = 3 or x = -7/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

no

Step-by-step explanation:

No, becuase -4 is less than 3. The two numbers are not the same

Answer:

No, she is incorrect because first of all, the numbers aren't even the same and    second, -4 is a negative number and 3 is a positive number.

Step-by-step explanation:

The function is cosine. The argument of the function is 4π/3. The function value is -0.5.

The cosine function is a periodic function that has a period of 2π. This means that the value of the cosine function repeats every 2π radians. The argument of the cosine function is the angle in radians.

When the argument of the cosine function is 4π/3, the value of the function is -0.5. This can be found using the unit circle. The unit circle is a circle with radius 1. The cosine of an angle is the x-coordinate of the point on the unit circle that is radians counterclockwise from the positive x-axis.

When the angle is 4π/3, the point on the unit circle is (-0.5, 0.866). This means that the cosine of 4π/3 is -0.5.

Therefore, the answer to the question is:

Function: cosine

Argument: 4π/3

Function value: -0.5

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Answer:

I would say A

Step-by-step explanation:

Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

Answer:

The curve meets the coordinate axes at the points A(0, 1 – k) and 1 B(. ) ... 2x + 1. (d) Find the value of k. (4). (Total 12 marks). 7. –5. 5 x y. O. M (2, 4).Step-by-step explanation:

Answer:

B. 8 • 8 • 8 • 8 • 8

Step-by-step explanation:

I'm gonna assume you meant 8 to the 5th power, or \(8^5\).

Step 1: Define and explain.

Remember: exponents are simply repeated multiplication.

Exponents tell you how many times to multiply the base number by itself.

---------------------------------------------------

---------------------------------------------------

Step 2: Solve.

\(base-8\)

\(exponent-5\)

\(8^5=8*8*8*8*8\)

Step 3: Conclude.

Therefore, \(8^5\) is the same as \(8*8*8*8*8.\)

Answer:

B

Step-by-step explanation: