Find the maximum height of the rocket and explain in at least threes sentence how you calculated your answer of y = - 16x ^ 2 + 480x

The z-score is a standardized score that measures how many standard deviations the score is from the mean of the population. By transforming data into z-scores, we can compare and rank scores from different populations with different means and standard deviations.

Using z-scores to compare the given values, we have; The z-score for the male is;  z = (1600 - 3247.5) / 580.3 = -1.88. The z-score for the female is; z = (1600 - 3078.8) / 692.7 = -2.36. The z-score is a standard score that can be used to compare values from different populations, with different means and standard deviations. We can use z-scores to determine which value is more extreme relative to the population from which it was drawn. Based on sample data, newborn males have weights with a mean of 3247.5 g and a standard deviation of 580.3 g, while newborn females have weights with a mean of 3078.8 g and a standard deviation of 692.7 g. The z-score for a male who weighs 1600 g is z = (1600 - 3247.5) / 580.3 = -1.88. Similarly, the z-score for a female who weighs 1600 g is z = (1600 - 3078.8) / 692.7 = -2.36. Since the z-score for the female is more negative, the female has a weight that is more extreme relative to the group from which they came. This means that the female weight of 1600 g is farther from the mean of the female population than the male weight of 1600 g is from the mean of the male population.

Using z-scores to compare the weights of newborn males and females, we found that a female who weighs 1600 g has a more extreme weight relative to the group from which she came than a male who weighs 1600 g. The z-score for the female was -2.36, while the z-score for the male was -1.88. The z-score is a useful tool for comparing values from different populations with different means and standard deviations.

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.

Answer:

Sorry

Step-by-step explanation:

Sorry I don't know the answer because I haven't learned this yet. Hope you get your answer!

Applying the power of power rule, the completed equation is given as follows:

\(x^{10} = (x^5)^2\)

The power of a power rule is used when a single base is elevated to multiple exponents, and states that simplified expression is obtained keeping the base, while the exponents are multiplied.

Hence the missing exponent for this problem is obtained as follows:

2x = 10

x = 10/2

x = 5.

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Answer:

5, -10, 10

Step-by-step explanation:

a “step“ can’t be negative so we can say that we move twice to left 5 spaces

a positive number multiplied by a negative number gives as result a negative number. In this case -10

the opposite of a number is the same number in absolute value with a opposite sign. In this case 10

Answer: 1 3/5

Step-by-step explanation:

From the question, we are informed that five friends are sharing 8 cups of lemonade and that they share the lemonade equally.

The number of cups that each friend gets will be calculated by dividing the number of cups of lemonade by the number of friends. This will be:

= 8 / 5

= 1 3/5

Nadia was 1cm off the actual measurement of 5 cm. That is a percent error of 20%.

Sasha was 4 cm off the actual measurement of 100 cm. That’s a percent error of 4%.

From the information, the measurement was 4cm and the actual measurement was 5cm. Therefore, the difference will be:

= 5cm - 1cm

= 4cm

The percentage error will be:

= Difference in measurement / Actual measurement × 100

= 1/5 × 100

= 20%.

The percentage error for Sasha will be:

= 4/100 × 100

= 4%

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let's evaluate this expression

\(\pmb{\displaystyle\frac{8-m}{n+p^2} }\)

\(\pmb{\displaystyle\frac{8-8}{2+7^2}}\) (step 1)

\(\pmb{\displaystyle\frac{0}{2+49}}\) (step 2)

simplify:

\(\pmb{\displaystyle\frac{0}{51}}\) (step 3)

\(\pmb{0}\) (step 4)

=======================================

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

In all three cases, the given vectors are not eigenvectors of their respective matrices.

To determine if a vector v is an eigenvector of a matrix A, we need to check if the following condition holds:

Av = λv

where λ is a scalar known as the eigenvalue.

Let's check each case:

A = [[3, -3, -2], [-2, 2, -2], [-7, 7, -2]]

v = [1, -1, 1]

Multiply Av and compare with λv:

Av = [[3, -3, -2], [-2, 2, -2], [-7, 7, -2]] * [1, -1, 1]

= [3 - 3 - 2, -2 + 2 - 2, -7 + 7 - 2]

= [-2, -2, -2]

λv = λ * [1, -1, 1]

Since Av ≠ λv for any scalar λ, vector v is not an eigenvector of matrix A.

A = [[0, -10, -5], [4, 4, 4], [-8, 2, -3]]

v = [6, 2, -1]

Multiply Av and compare with λv:

Av = [[0, -10, -5], [4, 4, 4], [-8, 2, -3]] * [6, 2, -1]

= [0 - 20 + 5, 24 + 8 - 4, -48 + 4 + 3]

= [-15, 28, -41]

λv = λ * [6, 2, -1]

Since Av ≠ λv for any scalar λ, vector v is not an eigenvector of matrix A.

A = [[0, 8, 4], [-3, 3, 3], [6, 2, -2]]

v = [1, -2, -1]

Multiply Av and compare with λv:

Av = [[0, 8, 4], [-3, 3, 3], [6, 2, -2]] * [1, -2, -1]

= [0 + 16 - 4, 3 - 6 - 3, -6 - 4 + 2]

= [12, -6, -8]

λv = λ * [1, -2, -1]

Since Av ≠ λv for any scalar λ, vector v is not an eigenvector of matrix A.

Therefore, in all three cases, the given vectors are not eigenvectors of their respective matrices.

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Answer:

Observations of a qualitative variable that can only be classified and counted.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. Ordinal : data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. Nominal : is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

Hence, the nominal level of data describes observations of a qualitative variable that can only be classified and counted.

For example, an end of year stock classification (high yield, medium yield, or low yield) for a business firm is a nominal level of measurement because they are categorized or classified. Also, this type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

If every 2 inches of Yolanda's drawing represents 3 feet of the actual wall, we can use the scale factor to convert the dimensions of the drawing to the dimensions of the actual wall.

Since we are dealing with area, we need to square the scale factor.

2 inches : 3 feet

(2 inches / 3 feet)^2 = (2/36)² = 1/324

This means that every square inch of Yolanda's drawing represents 1/324 square feet of the actual wall.

If the area of the mural in Yolanda's drawing is A square inches, then the area of the actual mural is:

A (square inches) x (1/324) (square feet per square inch) = A/324 square feet

Therefore, to find the area of the actual mural in square feet, we need to first find the area of the mural in Yolanda's drawing and then divide by 324.

If the area of the mural in Yolanda's drawing is, for example, 500 square inches, then the area of the actual mural is:

500 (square inches) / 324 = 1.54 square feet (rounded to two decimal places)

Therefore, the area of the actual mural is 1.54 square feet.

\( \: \: \)

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Answer:

240 yd

Step-by-step explanation:

Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.

Consider the figure in the attached file.

We need to find the total distance traveled by Betsy.

The distance covered by Betsy is

length of segment AB length of segment BC length of segment CD length of segment DA.

To find the distance AB, we need to find the distance from A to B on y-axis.

So, length of segment AB units

To find the distance BC, we need to find the distance from B to C on x-axis.

So, length of segment BC units

To find the distance CD, we need to find the distance from C to D on y-axis.

So, length of segment CD units

To find the distance DA, we need to find the distance from D to A on x-axis.

So, length of segment DA units

Hence, the total distance covered is units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is yd

Answer:

The second option represents a linear function

so B is the answer

Step-by-step explanation:

linear functiona show pattern and B goes +3 and +1

The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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The particle moves in a circular path with a radius of 1/π. The speed of the particle is increasing when t = 1 and t = 2.

(a) The graph of r(t) for 0 ≤ t ≤ 3 is a circle with a radius of 1/π. The particle starts at the point (1/π, 0) and moves counterclockwise.

(b) The vectors r(1), r(2), a(1), and a(2) are shown on the graph. The vector r(1) points to the right, the vector r(2) points up, the vector a(1) points to the left, and the vector a(2) points down.

(c) The acceleration of the particle is ar = -aπsin(at) and ay = aπcos(at). When t = 1, ar = -π and ay = π. When t = 2, ar = 2π and ay = -2π.

(d) The speed of the particle is v = |r'(t)| = a√(sin^2(at) + cos^2(at)) = a. When t = 1 and t = 2, the speed of the particle is increasing because the acceleration is in the opposite direction of the velocity.

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Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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Answer:

y = -2x + 1

Step-by-step explanation:

A parallel line has the same slope but different y-intercept.

Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.

Then make it from point slope form to slope intercept.

Hope this helps you. :)

Answer:

x=53°

y=24°

m∠x+m∠y

53+24=77

Step-by-step explanation:

Terms = 9*6 is a term

            then, 23*3 isa term

then, 14x is also a term

Answer:

5

Step-by-step explanation:

A^2 +B^2 =C^2

12^2 + b^2 =13^2

144+ b^2 =169

\(x^{2}\)= 25

x=5

125 is mirrored to the angle below x

then 180 -125 = 55

The mean of the population is the sum of the values divided by the total number of values: (3 + 4 + 11)/3 = 6. The standard deviation of the population can be calculated using the formula for population standard deviation.

(a) To find the mean of the sample means, we calculate the mean of all the possible sample means. In this case, there are nine different samples: (3, 3), (3, 4), (3, 11), (4, 3), (4, 4), (4, 11), (11, 3), (11, 4), and (11, 11). The mean of these sample means is (6 + 7 + 14 + 7 + 8 + 15 + 14 + 15 + 22)/9 = 12.

(b) To find the variance of the sample means, we use the formula for the variance of a sample mean, which is the population variance divided by the sample size. The population variance is calculated as the average of the squared differences between each value and the population mean. In this case, the population variance is\([(3-6)^2 + (4-6)^2 + (11-6)^2]/3\)= 22. The variance of the sample means is 22/2 = 11.

(c) To find the standard deviation of the sample means, we take the square root of the variance of the sample means. The standard deviation of the sample means is sqrt(11) ≈ 3.32.

Thus, the mean of the sample means is 12, the variance of the sample means is 11, and the standard deviation of the sample means is approximately 3.32.

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Three randomly selected households are surveyed. The numbers of people in the households are 3​, 4​, and 11.

Assume that samples of size n=2 are randomly selected with replacement from the population of 3​, 4​, and 11.

3, 3

3, 4

3, 11

4, 3

4, 4

4, 11

11, 3

11, 4

11, 11

Compare the population variance to the mean of the sample variances. Choose the correct answer below.

A correlational result can be used to infer causality, but only if the value of r is greater than 0.

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Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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