5. Bridget answered 10 out of 15 questions correctly on her quiz. What percent of the questions did she answer correctly?​

Given:

Simplife:

The given simplifies equation is:

After the compare the both inequality:

a=2

b=2

c=2

d=6

e=1

f=9

Answer:

A: Function f.

Step-by-step explanation:

Let's find the maximum y-value of each function.

Function f  is given by:

\(f(x)=3\cos(2x)+4\)

Remember that the value of cosine is always between -1 and 1. In other words:

\(-1\leq \cos(x)\leq 1\)

Then assuming the greatest value for cosine, we can substitute it for one:

\(f(x)_{\text{max}}=3(1)+4=7\)

Function g is given by the graph.

Looking at the graph, we can see that the maximum y-value of g is 3.

Finally, function h is given by the table.

Looking at the table, the maximum y-value of h is -2.

Therefore, function f has the greatest maximum y-value.

The probability that the sum of the numbers pulled from the bag is less than 4 is 3/16. option A

To find the probability that the sum of the numbers pulled from the bag is less than 4, we need to count the number of favorable outcomes (sums less than 4) and divide it by the total number of possible outcomes.

Looking at the table, we can see that there are three favorable outcomes: (1, 1), (1, 2), and (2, 1). The sum of these outcomes is less than 4.

The total number of possible outcomes can be calculated by multiplying the number of choices for each number pulled. Since there are four numbers (1, 2, 3, and 4) and we are pulling two numbers with replacement, there are 4 choices for each pull. Therefore, the total number of possible outcomes is 4 * 4 = 16.

Now we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 3 / 16

Therefore, the probability that the sum of the numbers pulled from the bag is less than 4 is 3/16.

Hence, the correct option is A) 3/16.

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The plant that produced the most tomatoes was treated with the old fertilizer, thus it was better. So statement B is correct.

A line plot is one type of graph that helps us to represent the data along the number line. This plot is also referred to as a dot plot. In this plot, we show the data as a check or point above a number line. Each point or check in this plot represents the frequency of each value.

The given plot about fertilizers is a line plot. In this plot, 1 dot over 2 in the old fertilizer treatment means about 2 plants have one tomato.

By comparing the line plot for both the new fertilizer and old fertilizer, we will be able to say that there are more tomatoes produced when the old fertilizer is used than the new fertilizer.

Nearly 65 tomatoes were produced when old fertilizer is used but only 58 tomatoes were produced when new fertilizer is used. Therefore, statement B is correct.

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Answer:

1) 64

2) 8

3) 2187

4) 5\(x^{2}\)

5) 4\(x^{2}\)

6) 12\(n^{5}\)

7) 9\(x^{2}\)

8) \(p^{9}\)

9) 27\(p^{12}\)

10) \(\frac{4x}{3}\)

11) 4b

12) \(\frac{1}{4a^{2} }\)

Step-by-step explanation:

Answer:

refer to the attachment

The value of a,b,c,d, and e is 45, 60, 58, 77, and 135 respectively, required to complete the two-way table.

A two-way table shows the connections between two sets of category data visually. Labels are positioned at the top and left sides of the table, which has rows and columns.

The sums for each row are displayed to the right, while the sums for each column are displayed at the bottom. 

We must create a two-way table based on the issue to ascertain the worth of each letter.

| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

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| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

The figure shows three types of unconformities: an angular unconformity (A - A) with tilted and eroded layers, a non-conformity (B- B) between uplifted and underlying rocks, and a paraconformity (C - C ) with a smooth transition between sedimentary layers indicating a potential time gap.

Based on the information provided, the figure shows three different unconformities

(A - A) represents an angular unconformity:

This occurs when horizontally layered rocks (A) are tilted or folded, eroded, and then overlain by younger, undeformed rocks (A). The angular discordance between the older and younger layers indicates a significant period of deformation and erosion.

(B- B) represents a non-conformity:

A non-conformity occurs when igneous or metamorphic rocks (B) are uplifted and eroded, exposing the underlying, usually sedimentary, rocks (B). The boundary between the two types of rocks represents a significant time gap and a change in the geological history of the area.

(C - C) represents a paraconformity:

A paraconformity is a type of unconformity where there is a relatively smooth transition between parallel layers of sedimentary rocks (C - C). Unlike angular unconformities and non-conformities, paraconformities do not show significant tilting, folding, or erosion. The time gap between the two layers may still exist, but it is often difficult to distinguish due to the lack of obvious discontinuities.

In summary, an angular unconformity (A - A) shows significant tilting and erosion, a non-conformity (B - B) indicates an uplift and erosion of older rocks, and a paraconformity (C - C) represents a relatively smooth transition between parallel sedimentary layers with a potential time gap.

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--The given question is incomplete, the complete question is given below " List and explain three different unconformities shown on this

figure. Explain your answer (15 points) "--

Answer:

Start by evening out the sides

6x + 6 = -12

      -6 = -6

6x = 18

Divide by six (bc variable in front of x)

x = 3

Step-by-step explanation:

what is the problem ?

the solution of such a system of 2 equations is the point, where they cross.

this point has the same coordinates for both equations, and that is called the solution.

and we can clearly see that point in the graph :

(-1, 1)

formally we can solve that way

y = 2x + 3

y = -x

therefore,

2x + 3 = -x

3x + 3 = 0

3x = -3

x = -1

y = -x = - -1 = 1

so, we get

(-1, 1) as solution.

The integral for the mass of a thin wire in the shape of a parabola density is \(\int[-1,1]\int[0,x^2] x^2 y^2 dy dx\)

To find the mass of the thin wire in the shape of a parabola with density function ρ(x, y) = \(x^2 y^2\),

we can set up a double integral over the region that describes the parabola. The mass M is given by the following integral:

M = ∬ρ(x,y) dA

where dA represents the area element in the xy-plane. To set up this integral, we need to first determine the limits of integration for x and y.

The parabola can be described by the equation y =\(x^2\), where x ranges from -1 to 1. Therefore, the limits of integration for x are -1 to 1.

For each value of x, the y-values range from the parabola to the x-axis, which is the region between y = 0 and y = \(x^2\). Therefore, the limits of integration for y are 0 to\(x^2\).

Using these limits of integration, the integral for the mass of the thin wire is:

M = ∫∫ρ(x,y) dA

=\(\int[-1,1]\int[0,x^2] x^2 y^2 dy dx\)

This integral can be evaluated using standard integration techniques.

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Answer:

\(\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}\)

Step-by-step explanation:

Given

\(\dfrac{-2}{3} \div 2\dfrac{1}{4} =\)

Required

Solve

Start by converting the mixed number to improper fraction

\(\dfrac{-2}{3} \div \dfrac{9}{4} =\)

Convert the division to muliplication

\(\dfrac{-2}{3} * \dfrac{4}{9} =\)

\(\dfrac{-2*4}{3*9}=\)

\(\dfrac{-8}{27}\)

Hence:

\(\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}\)

The problem involves a subspace P2 of continuous functions over the interval (0, 2). It requires showing that the evaluation map Ev is invertible, determining coefficients for a quadrature formula, and discussing whether the formula holds for every function in C|0,2).

a) To show that the evaluation map Ev is invertible, we need to demonstrate that it is both injective (one-to-one) and surjective (onto). Injectivity means that different functions in P2 map to different points in R², and surjectivity means that every point in R² has a pre-image in P2. By examining the properties of P2 and the evaluation map, we can prove its invertibility.

b) The problem asks to find specific coefficients a₀, a₁, and a₂ that satisfy the given quadrature formula. We need to solve the equation ∫(0 to 2) [a₀ + a₁p(1) + a₂p(2)]p(c) dt = f₀p(0) + f₁p(1) + f₂p(2) for all polynomials p in P2. By substituting specific values for c and solving the resulting equations, we can determine the explicit values of a₀, a₁, and a₂.

c) The question inquires whether the quadrature formula holds for every function in C|0,2]. To justify our answer, we need to analyze the properties of the quadrature formula and determine if it provides accurate approximations for any arbitrary function in C|0,2]. This analysis involves considering the convergence properties of the formula and whether it can accurately capture the behavior of functions beyond polynomials.

The explanation provides an overview of the problem's components, including showing invertibility, finding coefficients for the quadrature formula, and discussing its applicability to functions in C|0,2]. It emphasizes the need for proofs, equations, and analysis to support the conclusions. The word count exceeds the minimum requirement of 100 words to provide a comprehensive explanation of the problem.

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Answer:

B

Step-by-step explanation:

not sure about the explanation

Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

Answer:

1: 282 children were surveyed

2: 39 children liked only the Little Mermaid

3: 43 children liked only the 101 Dalmatians

4: 56 children liked Micky Mouse only

Step-by-step explanation:

For question number one I simply added all the children's answers together.

For questions 2-3 I looked at the data given.  

Hope this helps! :)

Answer:

12th Customer

Step-by-step explanation:

We have to find the lcm (lowest common multiple) of the number.

We do that by taking their multiples. Watch down below

3 x 1 = 3                4 x 1 = 4

3 x 2 = 6               4 x 2 = 8

3 x 3 = 9               4 x 3 = 12

3 x 4 = 12

See how they both have a 12 as their first lcm.

So the 12th customer gets both items.

Glad to help!

75% of team 3's attempts were successful.

According to the table, team three made 15 successful attempts and 5 failed attempts. So the number of total attempts made by team 3 are

Total Attempts: 5 + 15

                          : 20

Successful Attempts: 15

Percentage of success : \(\frac{Successful}{Total Attempts}\\\) X 100 %

                                        : \(\frac{15}{20}\) X 100 %

                                        : 0.75 X 100 %

Percentage of success : 75 %

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Answer:

75%

Step-by-step explanation:

I took the test :)

I hope this helps!

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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The pattern in the sequence is that each subsequent value is obtained by subtracting 7 from the previous value, leading to the next item being 79%.

The sequence represents a decreasing pattern where each subsequent value is 7 less than the previous value.

Conjecture: The sequence follows a pattern where each term is obtained by subtracting 7 from the previous term.

Using this conjecture, we can find the next item in the sequence:

86% - 7% = 79%

Therefore, the next item in the sequence is 79%.

In the given sequence, the percent humidity values decrease by 7 each time. This consistent pattern allows us to make a conjecture that the next value can be found by subtracting 7 from the previous value. By applying this conjecture, we subtract 7 from the last term, 86%, to obtain the next term, which is 79%. This pattern continues the decreasing trend in the sequence.

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The probability of this value on the standard normal distribution table is 0.2266.

Given x is a normally distributed random variable with µ=13 and

a=2.To find P(x²>16.5), firstly we need to find the z value. We know that z=(x-µ)/σ

=> z
=(sqrt(16.5)-13)/2

=> z

=-0.788

We now look up the probability of this value on the standard normal distribution table. From the table, we get P(z > -0.788) = 0.7852. Now subtracting from 1, we get: P(x² > 16.5) = 1 - P(z > -0.788)

= 1- 0.7852

= 0.2148.

To find P(x≤10), we need to find the corresponding z-score.

We know that

z = (x - µ) /

σ= (10 - 13) / 2

= -1.5/2

= -0.75

Now, looking up the probability of this value on the standard normal distribution table, we get:

P(z > -0.75) = 0.7734P(z ≤ -0.75)

= 1 - 0.7734

= 0.2266

Thus, P(x ≤ 10) = P(z ≤ -0.75)

= 0.2266.c) P(14.5≤x≤17.82)

= P[(14.5 - 13) / 2 ≤ z ≤ (17.82 - 13) / 2]

= P[0.75 ≤ z ≤ 2.91].

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Answer:  13

Step-by-step explanation:

234grf  im doing this for fre points

Answer:

dgg is abswer

Step-by-step explanation:

The number of outcomes for each case is given as follows:

1. 729 outcomes.

2. 36 outcomes.

The number of outcomes for each case is obtained using the Fundamental Counting Theorem, with the multiplication of the number of outcomes for each trial.

For item 1, we have six trials, each with three possible outcomes, hence the total number of outcomes is given as follows:

3^6 = 729.

For item 2, the outcomes are given as follows:

Hence the number of outcomes is given as follows:

3 x 2 x 6 = 36 outcomes.

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The given expression, 9x + 12, can be classified as a D. Linear binomial.

It is a binomial because it consists of two terms (9x and 12), and it is linear because the highest power of the variable x is 1. A polynomial with two terms whose variable has degree. A monomial is a polynomial with exactly one term, a binomial is a polynomial with exactly two terms, and a trinomial is a polynomial with exactly three terms. A binomial is a polynomial that is the sum of two terms, each of which is a monomial. It is the simplest kind of a sparse polynomial after the monomials. A binomial is a polynomial which is the sum of two monomials. A binomial in a single indeterminate also known as a univariate binomial.

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The height of the prism is 5x + 3 units.

What is volume?

A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

Given:

The volume of a rectangular prism is given by the expression

10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.

We have to find the height of prism.

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

And the  area of the base of the prism is given by the expression

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence, the height of the prism is 5x + 3 units.

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Using algebraic expression and equation, he invested $2000 in fund b.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Let x = amount he invested in fund b

If both funds together returned a 4% profit, then the sum of the profit in each investment is equal to 4% of the total investment.

$3000(0.02) + x(0.07) = (3000 + x)(0.04)

Solving for x,

$3000(0.02) + x(0.07) = (3000 + x)(0.04)

$60 + 0.07x = $120 + 0.04x

0.07x - 0.04x = $120 - $60

0.03x = $60

x = $2000

amount he invested in fund b = $2000

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Answer:

Step-by-step explanation:

f(x) = -2(x+3)^2 -1 would be the fourth graph because its translated 3 to the left, negative, and 1 down

f(x)=2(x+3)^2+1 would be the first graph since it's translated 3 to the left, positive, and shifted 1 up

f(x)=-2(x+3)^2+1 would be the second graph since it's translated 3 to the right, negative, and shifted 1 up

f(x)=2(x-3)^2+1 would be the third graph since it's translated 3 to the right, positive, and shifted 1 up

Answer:

Spin a spinner divided into four equal sections. Landing on section 1 indicates a correct guess.

Step-by-step explanation:

Answer:

I think the answer is d

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

105 m

Step-by-step explanation:

Given that Jules has a mirror that has a shape of a triangle, the length of the border Jules would add = the perimeter of the triangular mirror.

The perimeter of the triangular mirror is simply the sum of all the 3 sides of the triangle.

Since, each side is of equal length (35 cm), therefore, perimeter of the mirror = 35 + 35 + 35 = 105 m

Perimeter of mirror = length of border to add = 105 m

The border is 105 m long.