Craig is learning to identify local birds with a Field Guide to Forest Birds deck of cards. He randomly selects one card from the deck, puts it back in the deck, and selects another card. He repeats this several times and gets 4 hummingbirds, 3 falcons, 1 woodpecker, 4 owls, 3 loons, and 2 eagles.

Based on the data, what is the probability that the next card Craig selects will be a falcon card?

Answer:

X= 9 over 8 or 9/8

Step-by-step explanation:

hopefully this helps

Answer:

9/8 or 1.125 or 1 1/8

Step-by-step explanation:

For the information given in the statement you have:

Then, the equation is

Now for the number of hip-hop songs, you can solve for x the equation

Then, the number of hip-hop songs is 12.

Therefore, the correct answer is B.

The unit rate would be points per game.

To find the points per game, divide both numbers by 6:

288/6 = 48

the unit rate would be 48 points / 1 game.

The answer is the first choice.

Answer:

\(\frac{288 points}{6 games}\) ÷ \(\frac{6}{6} =\frac{48 points}{1 game}\) or the 1st option

Step-by-step explanation:

\(\frac{288 points}{6 games}\) ÷ \(\frac{6}{6} =\frac{48 points}{1 game}\)

We get this answer because to find the unit rate, we need to get however many points over one game.

Answer:

The answer is

(x-5)(x+5)

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

1. Whereby one square = One unit, we have;

Lengths of the sides of figure C are;

4, √(4² + 2²), √(4² + 2²) which simplifies to 4, 2·√5, 2·√5

Lengths of the sides of figure E are;

2, √(1² + 2²), √(1² + 2²) which simplifies to 2, √5, √5

Figure E is equivalent to figure C scaled down by a factor of 1/2

The trigonometric ratios of the two figures are therefore equal and figure C is similar to figure E but figure C is larger than figure E

2. A transformation that will create figure D from figure C is a rotation, 90° counter clockwise about the point (2, -2)

A transformation that will create figure E from figure D is a dilation of figure D by 1/2 with the midpoint of figure D being the center of dilation

Step-by-step explanation:

There are 62 number of ways in which classes to these students can be assigned. It can be solved by using the fomula of combination.

What is the formula of combination?

Following is the fomula of combination:

\(^nC_r=\frac{n!}{r!(n-r)!}\)

Here, n is the total objects available and r is the number of object need to choose from n objects.

Let six friends are A, B, C, D, E, and manoj.

Consider all 6 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_6\)

Consider 5 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_5\)

Consider 4 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_4\)

Consider 3 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_3\)

Consider 2 friends are in chemistry class. Hence, number of ways in which it can be is,

\(^6C_2\)

Consider 1 friend is in chemistry class. Hence, number of ways in which it can be is,

\(^6C_1\)

Consider no friend is in chemistry class all are in biology class. Hence, number of ways in which it can be is,

\(^6C_0\)

Hence, total number of ways in which classes can be assigned to 6 students is,

\(^6C_6+^6C_5+^6C_4+^6C_3+^6C_2+^6C_1+^6C_0=64\)

Now, the number of ways in which mnoj is alon. There are two ways. Either he will be in the chemistry class or he will be in the physics class.

Hence, subtract 2 from 64 to get the answer.

\(64-2=62\)

Hence, there are 62 number of ways in which classes to these students can be assigned.

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Answer:

94

Step-by-step explanation:

The mean score is the sum of the test scores divided by the number of tests.

Let s = sum of the scores of the first 6 tests.

s/6 = 80

s = 80 × 6

s = 480

The sum of the scores of the first 6 tests is 480.

The next test is the 7th test.

Let x = score of the 7th test.

mean score of the first 7 tests = (s + x)/7

(s + x)/7 = 82

(480 + x)/7 = 82

480 + x = 574

x = 94

Answer: 94

The F ratio in a completely randomized ANOVA is a) MSTR/MSE.

The F ratio in ANOVA is a measure of the variability between groups compared to the variability within groups. MSTR (mean square treatment) represents the variability between groups, while MSE (mean square error) represents the variability within groups.

The F ratio is the ratio of MSTR to MSE. A high F ratio indicates that the variability between groups is larger than the variability within groups, suggesting that there is a significant difference between at least two of the group means.

In contrast, a low F ratio suggests that there is little difference between group means, and any observed differences may be due to chance. Therefore, the F ratio is an essential statistic in ANOVA for determining the significance of the observed differences between groups.

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Answer:

1st graph:

Slope-intercept is y = -7/2x + 3

Point Slope is y + 4 = -7/2(x - 2)

Standard is 7x + 2y = 6

2nd graph:

Slope-intercept is y = 1/2x - 4

Point Slope is y + 2 = 1/2(x - 4)

Standard is x - 2y = 8

3rd graph:

Slope-intercept is y = 3x - 3

Point Slope is y - 3 = 3(x - 2)

Standard is 3x - y = 3

4th graph:

Slope-intercept is y = -2/7x - 4

Point Slope is y + 2 = -2/7(x + 7)

Standard is 2x + 7y = - 28

Step-by-step explanation:

Point Slope formula⤵⤵⤵:

\(y - y _{1} = m(x - x _{1})\)

Slope-intercept formula⤵⤵⤵:

\(y = mx + b\)

Standard formula⤵⤵⤵:

\(Ax + By = C\)

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)

Answer:

$575

Step-by-step explanation:

15% if 500= 15/100 ×500= 75

75+500=575

Answer:

It's simple. Just take any linear equation and try out each of the rules, according to me, most of the statements there are true

Answer:

1, 2, 10 i think this is correct

Answer:

Step-by-step explanation:

You answer the question by understanding what the problem statement is telling you.

The double number line shows that 2 1/2 bananas make 1 loaf of bread.

The first blank is filled with 1.

__

You notice the number of bananas on the second line of the table is double the number on the first line: 5 = 2 × (2 1/2). That means the number of loaves that can be made is 2 × 1 = 2.

The second blank is filled with 2.

__

You notice the number of loaves on the third line of the table is double the number of loaves you just filled in on the second line. That means the number of bananas required is double the number listed on the second line.

  2 × 5 = 10

The third blank is filled with 10.

Answer: A.

Step-by-step explanation:

The measurement scale that provides information regarding greater than or less than, but not how much greater than or less than, is known as the ordinal scale of measurement.

In the ordinal scale, the data is ranked or ordered based on a certain characteristic or attribute, but the difference between the values or ranks is not measured or quantified. This means that the scale does not have a fixed unit of measurement, and the intervals between the values are not necessarily equal.

For example, in a survey where people are asked to rank their favorite colors, the data can be ordered from most favorite to least favorite, but we cannot infer how much more someone likes their first choice than their second choice.

The ordinal scale is used in various fields such as education, psychology, and marketing, where the data is naturally ordered but does not have a meaningful numerical value. It is often used in surveys or questionnaires where the respondents can indicate their preferences or opinions, but the differences between the options cannot be precisely measured.

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The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

hello

Step-by-step explanation:

\( - 5x - 6x = 14 - 17 \\ - 11x = - 3 \\ x = - \frac{3}{11} \)

i think so

Hope it helps

Have a nice day

The surface area of the triangular prism is 125.25 square feet.

Given that:

Height, h = 8 ft

L₁ = 4 ft

L₂ = 4 ft

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and H be the height of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (L₁ x L₂) + (L₁ + L₂ + L₃) x H

The length L₃ is calculated as,

L₁² + L₂² = L₃²

4² + 4² = L₃²

L₃ = 4√2

The surface area is calculated as,

SA = (4 x 4) + (4 + 4 + 4√2) x 8

SA = 16 + 109.25

SA = 125.25 square feet

The surface area is 125.25 square feet.

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The correct answer for the equation of the line perpendicular to \(y = 2x+4\) and passes through the point (4,6) is   \(y = -\dfrac{1}{2}x +8\).

Given:

The equation of the line is \(y = 2x+4\)

Points: (4,6)

calculate the slope of the line, as the slope of the perpendicular lines are negative reciprocals of each other.

The given line has a slope of \(2\), The negative reciprocal of 2 is  (-1/2)

Use the point-slope form of the equation:

The point-slope form of the equation with slope (-1/2) and passes through the point (4,6) is:

\(y-y_1 = m(x-x_1)\)

\(x_1 = 4\)

\(y_1 = 6\)

Put the value of \(x_1\) and \(y_1\) in the formula:

\(y -6 = -\dfrac{1}{2} x + 2\)

\(y = -\dfrac{1}{2}x +8\)

The equation of the line is  y = (-1/2)x + 8

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To find the equation of a line perpendicular to y = 2x + 4, we need to find the negative reciprocal of the slope and use the point-slope form of a line to determine the equation.

To find the equation of a line that is perpendicular to y = 2x+4, we need to find the negative reciprocal of the slope of the given line. The slope of y = 2x+4 is 2, so the negative reciprocal of 2 is -1/2. Now we have the slope of the perpendicular line.

Next, we can use the point-slope form of a line to find the equation. The point-slope form is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Substituting the values (4, 6) and -1/2 into the point-slope form, we get y - 6 = (-1/2)(x - 4). Simplifying the equation gives us y = -x + 8. Therefore, the correct answer is B. y = -x + 8.

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To form a polynomial with given zeros and degree, we need to use the fact that if a polynomial has a zero of x = a, then it can be factored as (x - a) times some other polynomial.

This means that if we know the zeros of a polynomial, we can write it in factored form, and then multiply out the factors to get the polynomial in standard form.

The degree of the polynomial tells us how many factors are necessary. For example, if the degree is 3, we know that the polynomial can be factored into three linear factors, one for each zero.

To illustrate this process, let's say we want to form a polynomial of degree 4 with zeros of x = 2, x = -1, and x = 3. We would start by writing the polynomial in factored form as:

f(x) = (x - 2)(x + 1)(x - 3)(ax + b)

Since the degree is 4, we need to include one more factor. We can use the coefficients a and b to determine this factor. To do so, we can either use the value of the leading coefficient (which is a in this case) or a point on the polynomial (i.e., a value of x and f(x)).

Once we have determined the value of a, we can solve for b by setting a point on the polynomial equal to a known value.

Finally, we can multiply out the factors to get the polynomial in standard form:

f(x) = (x - 2)(x + 1)(x - 3)(2x - 4)

f(x) = 2x^4 - 8x^3 - 13x^2 + 22x - 12

In conclusion, to form a polynomial with given zeros and degree, we need to use the fact that a polynomial can be factored as (x - a) times some other polynomial if it has a zero of x = a.

We can write the polynomial in factored form, determine the missing factor(s) using the degree and coefficients, and then multiply out the factors to get the polynomial in standard form.

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The symbolic forms for the given statements are: (b) p ∨ r, (c) p ∧ q, (d) q ~ r, and (e) p ∨ q. Statement (a) cannot be expressed symbolically.

(a) x ≥ 5: This statement represents a numerical inequality, and it cannot be expressed symbolically.

(b) p ∨ r: The symbolic form for the statement "p ∨ r" is a logical disjunction, meaning it represents the logical "OR" operation between the propositions p and r.

(c) p ∧ q: The symbolic form for the statement "p ∧ q" is a logical conjunction, indicating the logical "AND" operation between the propositions p and q.

(d) q ~ r: The symbolic form for the statement "q ~ r" is a negation, where the proposition r is negated, represented by the symbol "~".

(e) p ∨ q: The symbolic form for the statement "p ∨ q" is a logical disjunction, indicating the logical "OR" operation between the propositions p and q.

In logic, different symbols are used to represent various logical operations and relationships between propositions. The statements provided have different symbolic forms based on the logical operations they represent.

The "∨" symbol represents logical disjunction (OR), "∧" symbol represents logical conjunction (AND), and "~" symbol represents negation. It is important to understand the symbolic forms to accurately represent and analyze logical statements.

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Answer:

what's the question?

Step-by-step explanation:

and the problem?

Answer:

Please could you add some more info.

Thank you

Answer:

\(\boxed{\mathrm{False}}\)

Step-by-step explanation:

\((p-q)^2\)

\((p-q)(p-q)\)

Use FOIL method.

\(p^2-pq-pq +q^2\)

\(p^2-2pq +q^2\)

x=4,3,0,1

Hope this helped :)

Step-by-step explanation:

Hi ,if you still don't understand ,I can explain further

Answer:

You will need to study and get the answer using

Step-by-step explanation:

a link: https://brainly.com/question/16261743. Taking a rescoruce. i surely think that you can do it

(8,-5/2) or (8,-2.5)

(7,2) (9,-7)

9+7    -7+2

2         2

16     -5

2       2

(8, -5/2) or (8,-2.5)