The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.

c. What is the Z-score for a giraffe that is 18.5 foot tall?

d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?

e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?

f. The 70th percentile for the height of giraffes is ___ ft.

Answer:

which mountain is known as Nepal Himal?

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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The eigenvalues of [A] are λ1 = -1 and λ2 = 1, with corresponding eigenvectors [1, -1, 0] and [0, 0, 0], respectively.

To find the matrix for the linear transformation T, which reflects all vectors in R3 through the xy plane, we can consider the effect of T on the standard basis vectors e1, e2, and e3:

T(e1) = e1

T(e2) = e2

T(e3) = -e3

This tells us that the first two columns of the matrix for T will be the standard basis vectors e1 and e2, and the third column will be -e3. Thus, the matrix for T is:

[A] = [1 0 0;

0 1 0;

0 0 -1]

To find the eigenvalues and eigenvectors of this matrix, we can solve the characteristic equation det([A] - λ[I]) = 0, where [I] is the 3x3 identity matrix. This gives us:

\(det([A] - λ[I]) = det([1-λ 0 0; 0 1-λ 0; 0 0 -1-λ])\\= (1-λ)(1-λ)(-1-λ)\\= -(λ+1)(λ-1)^2\)

Therefore, the eigenvalues of [A] are λ1 = -1 (with algebraic multiplicity 1) and λ2 = 1 (with algebraic multiplicity 2).

To find the eigenvectors corresponding to these eigenvalues, we can solve the systems of equations ([A] - λ[I])v = 0 for each eigenvalue. For λ1 = -1, we have:

([A] + [I])v = [0 0 0]'

which gives us the equation:

x + y = z

Thus, the eigenvectors corresponding to λ1 are of the form [x, y, z] where x + y = z. One such eigenvector is [1, -1, 0].

For λ2 = 1, we have:

([A] - [I])v = [0 0 0]'

which gives us the equations:

x = 0

y = 0

z = 0

Thus, the eigenvectors corresponding to λ2 are all vectors of the form [0, 0, 0].

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Answer:

12 crew members I think hope this helps :)

Step-by-step explanation:

☁️ Answer ☁️

12.

(66 2/3)

---------- (x) = 8

100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Here's the link: https://www.wyzant.com/resources/answers/286307/a_crew_is_made_up_of_8_men_the_rest_are_women_66_2_3_are_men_how_many_people_are_in_the_crew

Hope it helps.

Have a nice day noona/hyung.

Answer:

i got 54ft^2

Step-by-step explanation:

The student's second score represents a 10% increase over her first score.

The student's score on her first try was 600 on her college entrance exam.

She scored 660 on her second try. We need to determine the percent increase of her second score over her first score.

To solve for the increase, we will need to subtract the first score from the second score. 660-600=60

The score of 660 represents a 60 point increase over the student's first score of 600.

To determine the percent increase, divide the increase of 60 by the original score of 600:60 / 600 = 0.1

Multiply the answer by 100 to convert it into a percentage:0.1 x 100 = 10%

The student's second score represents a 10% increase over her first score.

Therefore, the answer is that 10% increase over her first score.

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The student's second score represents a 10% increase over her first score.

The student's score on her first try was 600 on her college entrance exam.

She scored 660 on her second try. We need to determine the percent increase of her second score over her first score.

To solve for the increase, we will need to subtract the first score from the second score. 660-600=60The score of 660 represents a 60 point increase over the student's first score of 600.

To determine the percent increase, divide the increase of 60 by the original score of 600:60 / 600 = 0.1

Multiply the answer by 100 to convert it into a percentage:0.1 x 100 = 10%

The student's second score represents a 10% increase over her first score.

Therefore, the answer is that 10% increase over her first score.

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Answer:

Step-by-step explanation:

\(a^{m} * b^{m}\) = \((ab)^{m}\)

Yes, he can!!

\(5^{c} * 2^{c} = (2 * 5 )^{c}\) = \(10^{c}\)

For example,

2³ × 3³ = 8 × 27 = 216

6³ = 216

The expression can not be simplified as it do not have same base, and can be written as \(10^c\)

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Phillips says he cannot simplify the expression \(5^c.2^c\)

She can not simplify the expression because the bases of the expression are not same, and this expression is same as

\(5^c.2^c\\\\= (5.2)^2\\\\=10^c\)

Hence, the expression can not be simplified as it do not have same base, and can be written as \(10^c\)

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Answer:

3

Step-by-step explanation:

Answer:

i think ur answer is f in my mind

Given:

The container has a top base of dimensions :

And the bottom base is a square of side 4in.

We have to find volume of food that holds in this container.

The figure shown is a trapezium having parallel sides of 6in and 4in and height of 5 in given.

We have to find the volume of this trapezium.

Now,The volume is given by:

And the area is given by:

Now, the volume is given by:

Therefore,the volume of food that it holds is 100 cube inches.

Answer:

33

Step-by-step explanation:

The length of the cable is 13.4 ft

Here, we want to find the height of the cable

By the given information in the question, we start with a diagrammatic representation of the information

We have this as follows;

As seen from above, what we have is a right-triangle, with the cable length representing the hypotenuse (the longest side)

Using Pythagoras' theorem, we can get the cable length

The square of the length of the hypotenuse is equal to the sum of the squares of the two other sides

Mathematically, we have this as follows (we are representing the length of thecable by c0

Thus, we have it that;

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer:

4/20 or 1/5

Step-by-step explanation:

There are a total of 20 coins and there are 4 nickels

HOPE THIS HELPS!!!!!! :)

<33333333333

Answer:

The unit digit of a square is 1.

Answer: You can't but here's what it would look like.

Step-by-step explanation:

Answer:

The answer is:

\( \frac{10}{3} \)

Step-by-step explanation:

Before multiplying you can turn the mixed fraction into an improper one hence:

\(4 \frac{2}{3} = \\ (3 \times 4) + 2 = \frac{14}{3} \\ \)

Now we multiply:

\( \frac{5}{7} \times \frac{14}{3} = \frac{10}{3} or \: 3 \frac{1}{3} \)

Answer:

Step-by-step explanation:

The solution is to convert mixed numbers into improper fractions.

5/7*4 2/3

4 2/3=4*3+2/3

4*3+2

Use the order of operations.

PEMDAS stands for:

First, do multiply.

4*3=12

12+2

Then, you add.

12+2=14

= 14/3

5/7*14/3

\(\Longrightarrow: \sf{\dfrac{5\cdot \:14}{7\cdot \:3}}\)

7*2=14

\(\Longrightarrow: \sf{\dfrac{5*7* \:2}{7* 3}}\)

Common factor of 7.

\(\Longrightarrow: \sf{\dfrac{5*2}{3}}\)

Multiply.

5*2=10

10/3

10/3=3 1/3

\(\Longrightarrow: \boxed{\sf{3\dfrac{1}{3} }}\)

I hope this helps. Let me know if you have any questions.

The correct answer to this question is C, 100ft/min.

The rate of climbing can be calculated by dividing the increase in elevation (100 ft) by the time it takes to make that increase (2 min).

This gives a rate of 50ft/min. Therefore, the class is climbing at a rate of 100ft/min since the question asks for the rate of their climbing.

It's important to pay attention to the wording of the question to ensure that the correct answer is selected. In this case, the question specifically asks for the rate of climbing, not the rate of increase in elevation.

Always read the question carefully and make sure to include all given information when solving problems with content loaded.

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If a bed is 3 cm by 2 cm in a drawing and a scale of 1 to 80, the real length of bed is 240 cm and width of the bed is 160 cm

The length of the bed in drawing = 3 centimeter

The width of the bed in drawing = 2 centimeter

The scale = 1 : 80

The scaling is the process of drawing an object in proportional to the actual size of the object.

The  real length of the bed  = 3 × 80

= 240 centimeter

The real length of the bed = 2 × 80

= 160 centimeter

Hence, if a bed is 3 cm by 2 cm in a drawing and a scale of 1 to 80, the real length of bed is 240 cm and width of the bed is 160 cm

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Answer:

C they have equal x-intercepts

Step-by-step explanation:

Step-by-step explanation:

\(sa = 2\pi \: r {}^{2} + 2\pi \: rh \\ = 2 \times 3.14 \times 3 { }^{2} + 2 \times 3.14 \times 11\)

Answer:

A = 5x + 3y

B = 8x + 5y

C = 15x + 11y

Step-by-step explanation:

B = 6x + 2y + 2x + 3y

= 6x + 2x + 2y + 3y

= 8x + 5y

C = 8x + 5y + 7x + 6y

= 8x + 7x + 5y + 6y

= 15x + 11y

A = 7x + 6y - 2x - 3y

= 7x - 2x + 6y - 3y

= 5x + 3y

Answer: y= -10/3 - 2x/3

Step-by-step explanation:

move all terms that dont contain y to the right side and solve

The equation of the line that passes through the point (1, 4) and has a slope of -2 is y = -2x + 6

What is slope-intercept form of a line?

The equation of the line in slope-intercept form is given by:

y = mx + c

Here,

(x, y) = Every point on the line

m = Slope of the line

c = y-intercept of the line

According to the given question:

The given line has slope m = -2 and point (1, 4) passes through the line.

By slope-intercept form general equation of line is y = mx + b where b is

y-intercept.

Substituting values of m and point (1, 4) in this equation to get value of b

y = mx + b

4 = -2(1) + b

b = 6

Hence equation of the line is y = -2x + 6

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Answer:

Below

Step-by-step explanation:

1 would be 2 * the prob of 3 = 2 * ?? = 2 * ??     <====given

All of the probabilities have to sum to ONE

2 * ??   + .33 + ?? + .17 = 1.0

3 ?? = .5

?? =~ .17

Answer:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

\(x^4(x^8y^4-y^1^2)\)

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

\(x^4y^4(x^8-y^8)\)

The probability that the student chooses both math and Spanish is 0.5.  

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that professor is deciding which classes to teach in the fall.

The chooses math 341 with probability 3/7 and math 340 with probability 1/4 and neither class with probability 1/2.

P(M) = 3/7

P(S) = 1/4

P (M' ∩ S') = 1/2

According to De-Morgans law

P (M ∩ S) = P(M) + P(S) - P (M' ∩ S')

P (M ∩ S) =1/2

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Answer: x=-11

Step-by-step explanation:

5(x+5)=2x-8

5x+25=2x-8

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

The value of x in the given expression is -11.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that; Five times the sum of x and 5 is 8 less than twice x.

WE are asked to Solve for x.

Then the expression form as;

5(x+5)=2x-8

Now solve for x;

5x+25=2x-8

Subtract 25 on both sides;

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

Therefore, the value of x in the given expression is -11.

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The probability that a randomly sampled person who likes peanut butter also likes jelly is approximately 0.9868 (rounded to four decimal places

To solve this problem, we can use the concept of conditional probability. We want to find the probability that a randomly sampled person likes jelly given that they like peanut butter.

Let's define the events:

A: Person likes peanut butter.

B: Person likes jelly.

We are given the following probabilities:

P(A) = 0.76 (76% like peanut butter)

P(B) = 0.82 (82% like jelly)

P(A ∩ B) = 0.75 (75% like both)

We want to find P(B|A), which represents the probability of liking jelly given that the person likes peanut butter.

Using the formula for conditional probability:

P(B|A) = P(A ∩ B) / P(A)

Substituting the given values:

P(B|A) = 0.75 / 0.76 ≈ 0.9868

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