Divide and simplify
49x^2-28x-14 divided by 7x

The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.

We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.

The combination is the number of ways of selecting things.

Probability is to quantify the possibilities.

Number of ways in which a reference book can be picked = ²C₁

Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17

Now, the total number of books left on the bookshelf is 16

The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16

Total probability =multiplication of both the possibilities

Total probability =(2/17)×(5/16) = 5/136

Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136

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Answer:

C. 5/156

Step-by-step explanation:

Edge 2023

Answer: 5/8m

Step-by-step explanation:

From the question, we are informed that a piece of wire is 7/8m long and broken into two piece. We are further told that one piece is 1/4 m long.

The length of the other piece of wire would be calculated as:

= 7/8 - 1/4

= 7/8 - 2/8

= 5/8m

Since our calculated t-value of 1.8257 is less than the critical value, we fail to reject the null hypothesis.

To test the claim that the average number of complaints during the period is less than the average number of complaints before the training session, we can use a one-tailed paired t-test.

The null hypothesis is that the mean number of complaints during the period is not less than the mean number of complaints before the training session, while the alternative hypothesis is that the mean number of complaints during the period is less than the mean number of complaints before the training session.

Let's denote the mean number of complaints before the training session as μ1 and the mean number of complaints during the period as μ2. The test statistic can be calculated as:

t = (\(\bar X\)1 - \(\bar X\)2) / (s / √n)

where \(\bar X\)1 is the sample mean of complaints before the training session, \(\bar X\)2 is the sample mean of complaints during the period, s is the standard deviation of the differences between the two samples, and n is the sample size (which is 10 in this case).

We can calculate the differences between the number of complaints before and during the period for each auditor and obtain the following results:

Auditor Before After Difference

1 6 3 3

2 3 2 1

3 5 4 1

4 4 1 3

5 2 2 0

6 1 2 -1

7 0 1 -1

8 3 1 2

9 2 2 0

10 4 3 1

The sample mean of complaints before the training session is \(\bar X\)1 = 3.0, and the sample mean of complaints during the period is \(\bar X\)2 = 2.3. The standard deviation of the differences is s = 1.5.

Plugging these values into the formula, we get:

t = (3.0 - 2.3) / (1.5 / √10) = 1.8257

Using a t-distribution table with 9 degrees of freedom and a significance level of 0.05, the critical value for a one-tailed test is 1.833.

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Since our calculated t-value of 1.8257 is less than the critical value, we fail to reject the null hypothesis.

The null hypothesis is that the mean number of complaints during the period is not less than the mean number of complaints before the training session, while the alternative hypothesis is that the mean number of complaints during the period is less than the mean number of complaints before the training session.

The sample mean of complaints before the training session is 1 = 3.0, and the sample mean of complaints during the period is 2 = 2.3. The standard deviation of the differences is s = 1.5.

Plugging these values into the formula, we get:

t = (3.0 - 2.3) / (1.5 / √10)

= 1.8257

Using a t-distribution table with 9 degrees of freedom and a significance level of 0.05, the critical value for a one-tailed test is 1.833.

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Answer:

27777/100000

Step-by-step explanation:

i hope its right

Answer:

Down Here ↓↓↓↓

Step-by-step explanation:

1. The sum of all angles in a triangle is 180°

75° + 60° + x° = 180°

135° + x° = 180°

x° = 55°

2. The sum of all angles in a triangle is 180°

70° + 70° + x° = 180°

140° + x° = 180°

x = 40°

3. The sum of all angles in a triangle is 180°

1 : 2: 5 = 1x:2x:5x

1x + 2x + 5x = 180°

8x = 180°

x = 22.5°

2x = 45°

5x = 112.5°

4. The sum of all angles in a triangle is 180°. The angle in a line is 180°

Missing angle is 180° - 123° = 57°

The sum of angles in a triangle is 180°

57* + x° + 90* = 180°

57° + x° = 90°

x = 33°

5. We know that the sum of angles in a triangle is 180°. We can subtract the values of the two other angles from 180* to find the missing angle.

-Chetan K

The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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Answer: y=5x+ 10

Step-by-step explanation:

40-30/6-4=10/2=5

each time x moves 1 it moves 5 vertically so

4, 30

3, 25

2, 20

1, 15

0, 10

Answer:

47%

Step-by-step explanation:

300÷100=3

3=1%

140 is not divisible by 3 so we round it to the nearest multiple of 3 which is 141 this is divisible by 47 making this answer 47%

Step-by-step explanation:

how should we express the speed ? in meters per second ? kilometers per hour ?

or anything else ?

he moves 250 meters in 500 seconds.

that is 250/500 m/s = 0.5 m/s (meters per second)

for kilometers per hour we need to convert this to an expression that bases on an hour instead of one second.

we know there are 3600 seconds (60 seconds × 60 minutes) in an hour.

and to keep the ratio unchanged, we need to do the same thing to the top and the bottom of it.

so, we multiply 0.5 m/s by 3600/3600.

0.5/1 × 3600/3600 = 1800/3600 m/s = 1800/1 m/h =

= 1.8 km/h

in other words - he is really slow. a normal person walks much faster.

Answer:

4c=12

Step-by-step explanation:

In the chart, it shows 12 and 4 c. Since they equal the same thing, the equation is 4c=12.

The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%

Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.

It is given that

0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish

From the data it can be observed that

Total number of single digits numbers = 80

No. of Perch , "5 " = 8

Probability of getting a perch in next fish = 8/80 = 0.1

Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)

P ( no perch) = 1 - 0.1 = 0.9

for 4 fishes

= 1 - 0.9⁴

= 0.3439

= 34.39%

≈ 34%

Therefore the estimated probability that at least one of the next four fish

Roxanne catches will be a perch is 34%.

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Quadratic function is shown below. A polynomial function of degree two in one or more variables is known in algebra as a quadratic function, quadratic polynomial, polynomial of degree 2, or simply a quadratic.

A quadratic polynomial without any complex roots and two real roots. Other quadratic polynomials that have their minimum above the x axis have two complex roots instead of any real roots.

Authors sometimes mean "having degree exactly 2" and other times "having degree at most 2" when they refer to a quadratic polynomial. This situation may be referred to as a degenerate case if the degree is less than 2. In most cases, the context will determine which of the two is intended.

In some cases, the word order is used to refer to degree, as in the case of a second-order polynomial. Whereas order normally refers to the lowest degree of a non-zero term of a power series, the degree of a polynomial refers to the maximum degree of a non-zero term of the polynomial.

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Answer:

y = -1/2x + 7/2  

Step-by-step explanation:

Answer:

Similarity is it is beautiful like your mom

Step-by-step explanation:

All 3 angles of the triangle added up will be equal to 180 degrees.

Hope this helps, brainliest pls!

Answer:

A

Step-by-step explanation:

'A' because it asks about pros and cons.

Answer:

9

Step-by-step explanation:

5+4=9

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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Answer:

the profit is $1.66 per pastry

Step-by-step explanation:

Answer:

The profit is 20 cents per pastry

Step-by-step explanation:

we'll first need to see the hash table and identify the tombstones. However, since no hash table is provided, I will assume a general scenario.

When rehashing a hash table with h(x) = x mod 11 and using linear probing, the process involves removing tombstones and inserting items in ascending order. After rehashing, some indexes may become null, depending on the number of tombstones and collisions during insertion.

To find the null indexes after rehashing, follow these steps:

1. Remove tombstones from the hash table.
2. Sort the remaining elements in ascending order.
3. Reinsert the elements using h(x) = x mod 11 and linear probing.

After completing the rehash, the null indexes can be determined by observing which index positions remain unoccupied. Unfortunately, without the specific hash table, I cannot provide the exact index numbers.

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Answer:

Explanation:

The slope of the line,

m

, is found by

m

=

y

2

−

y

1

x

2

−

x

1

So

m

=

−

2

−

0

3

−

(

−

1

)

=

−

2

4

=

−

1

2

Step-by-step explanation:

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

the rotational symmetry of a rhombus is of the order 2

Step-by-step explanation:

hope it helps :)

To determine whether a mapping is a homomorphism, monomorphism, epimorphism, or isomorphism, we need to consider its properties and relationships between its domain and range.

A homomorphism is a mapping between two algebraic structures that preserves the operations of the structures. In other words, if we have two algebraic structures A and B with operations *A and *B, respectively, then a homomorphism f: A → B satisfies the property that f(x *A y) = f(x) *B f(y) for all x, y in A. A monomorphism is a type of homomorphism that is injective, meaning that distinct elements of the domain map to distinct elements in the range.

To determine which of the given mappings are homomorphisms, monomorphisms, epimorphisms, or isomorphisms, we need to apply the definitions and properties of these mappings.
Let f: G → H be a mapping between two groups G and H.
a) To determine if f is a homomorphism, we need to check if it preserves the group operations. That is, we need to check if f(xy) = f(x)f(y) for all x, y in G. If this property holds, then f is a homomorphism. If it also satisfies f being injective, f is a monomorphism. If it is surjective, f is an epimorphism. Finally, if f is both injective and surjective, then f is an isomorphism.
b) To determine if f is a monomorphism, we need to check if it is injective. That is, we need to check if f(x) = f(y) implies x = y for all x, y in G. If this property holds, then f is a monomorphism. If it also satisfies f preserving the group operations, f is a homomorphism.
c) To determine if f is an epimorphism, we need to check if it is surjective. That is, we need to check if for every h in H, there exists at least one g in G such that f(g) = h. If this property holds, then f is an epimorphism. If it also satisfies f preserving the group operations, f is a homomorphism.

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Answer:

quaradict

Step-by-step explanation:

pretty sure F(x)=x^2

Answer:

-5.3

Step-by-step explanation:

I'm not really sure if thats the answer but i try

Answer:

5.33333333333

Answer:

0.15

Step-by-step explanation:

3 of the 20 coins are pennies.  Thus, the probability of shaking out a penny is 3/20, or 15/100, or 0.15.