Select the correct answer.
Which expression is equivalent to the given expression?


45
A.

9
⁢
5
B.

3
⁢
5
C.

5
⁢
3
D.

5
⁢
9

The probability that at least 15 in the sample are among this group is given as follows:

0.9441 = 94.41%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).

The parameters for the binomial distribution are given as follows:

n = 50, p = 0.4.

Hence the mean and the standard deviation for the approximation are of:

Using continuity correction, the probability that at least 15 in the sample are among this group is one subtracted by the p-value of Z when X = 14.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (14.5 - 20)/3.46

Z = -1.59

Z = -1.59 has a p-value of 0.0559.

1 - 0.0559 = 0.9441 = 94.41%.

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Answer:

A. Charlie

B. Charlie used 48 more beads than Shaniqua

Step-by-step explanation:

Charlie:

25 necklaces with 96 beads in each necklace.

Total beads used = number of beads per necklace × number of necklace

= 96 × 25

= 2,400 beads

Shaniqua:

28 necklaces with 84 beads in each necklace.

Total beads used = number of beads per necklace × number of necklace

= 84 × 28

= 2,352 beads

A. Charlie used more beads

B. 2,400 beads - 2,352 beads= 48 beads

Charlie used 48 more beads than

Shaniqua

Answer:

The answer is 5 cups...

Answer:

negative addition

Step-by-step explanation:

that has a negaitive number being added to it

Answer:

x = -8

Step-by-step explanation:

3x - 9= -33

     +9=-33+9

3x    = -24

3           3

x = -8

The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.

A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.

The ratio tells us how often one number is contained in another.

Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,

96 girls are present.

80 boys out of 176, or 96 boys.

Currently, the junior class's gender distribution is as follows:

Girls to Boys in Ratio

96 girls and 80 boys.

Divide the numerator and denominator by 16 to simplify.

Boys/Girls: 6 to 5.

Therefore, the answer is option d) 6:5.

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Answer:

x = 20

You do 120 + 3x = 180

It's same-side interior.

X=−3

=−11

herw you go answer

Jyotsana must sell the eggs at a price of 80.5 rs per hundred eggs to earn a profit of 15%.

Jyotsana bought 4000 eggs at a rate of 8.40 rs per dozen. We can calculate the cost of one egg as follows:

Cost of 1 egg = (Cost of 1 dozen) / 12

Cost of 1 egg = 8.40 / 12

Cost of 1 egg = 0.70 rs

To earn a profit of 15%, Jyotsana needs to sell the eggs at a price that is 15% more than her cost price. Let's call this selling price "x". To calculate "x", we need to first calculate the cost of 100 eggs, which is:

Cost of 100 eggs = 100 × Cost of 1 egg

Cost of 100 eggs = 100 × 0.70

Cost of 100 eggs = 70 rs

Now, Jyotsana wants to earn a profit of 15% on her cost price, which means her selling price should be:

x = Cost price per hundred eggs + 15% of Cost price per hundred eggs

x = 70 + (15/100) × 70

x = 70 + 10.5

x = 80.5 rs

Therefore, Jyotsana must sell the eggs at a price of 80.5 rs per hundred eggs to earn a profit of 15%.

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A cube that really is 1 inch long, 1 inch wide, and 1 inch high serves as the unit of measurement.

A cube its sides each are one unit long is said to be a unit cube. Volume. The volume of anything is the quantity of space it occupies. Cube volume in units: Every side of a cube is the same size.

Given: The Cube's 12 edges, 6 faces, and 8 vertices are all known.

Hence, we need a unit cube so that all of our measurements for length, width, and height are in the same units.

Then each edge should be one length.

According to it, a cube having the dimensions 1 inch long, 1 inch wide, and 1 inch high is the unit cube.

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Answer:

y = 14/3 and 2

x = -13/3 and 1

(-13/3, 14/3) and (1, 2)

Step-by-step explanation:

\(x + 2y = 5 - - - (a) \\ {x}^{2} - {y}^{2} = - 3 - - - (b)\)

for equation (a)

make x the subject of the formular:

\(x = 5 - 2y - - - (c)\)

for equation (b)

\( {x}^{2} - {y}^{2} = - 3\)

substitute for x as 5 - 2y in equation (b):

\( {(5 - 2y)}^{2} - {y}^{2} = - 3 \\ (25 - 20y + 4 {y}^{2} ) - {y}^{2} = - 3 \\ 25 - 20y + 3 {y}^{2} = - 3 \\ {3y}^{2} - 20y + 28 = 0 \\ (3y - 14)(y - 2) = 0\)

therefore,

\(y = \frac{14}{3} \: \: and \: \: 2\)

substitute for all values of y in equation (c):

for y = 14/3:

\(x = 5 - 2( \frac{14}{3} ) \\ \\ x = 5 - \frac{28}{3} \\ \\ x = - \frac{13}{3} \)

for y = 2:

\(x = 5 - 2(2) \\ x = 5 - 4 \\ x = 1\)

Answer:

(1, 2)

(-13/3, 14/3).

Step-by-step explanation:

x + 2y = 5

x² - y² = -3​

From the first equation x = 5 - 2y

Substitute for y in the second equation:

(5 - 2y)^2 - y^2 = -3

25 + 4y^2 - 20y - y^2 = -3

3y^2 - 20y + 28 = 0

Factoring:-

(3y - 14(y  -  2)   = 0

y = 2, 14/3.

So when y = 2, x = 5 - 2(2) = 1.

When y = 14/3, x = 5 - 2(14/3) = -13/3.

Checking the results in the second equation:

(1, 2):-

1^2 - 2^2 = -3    Correct.

(-13/3, 14/3):-

(-13/3)^2 - (14/3)^2 = -3   Correct.

Answer:

c)

Step-by-step explanation:

\( - \frac{7}{ - f} \: is \: equal \: to \: \frac{7}{f} \)

\(so \: the \: answer \: is \: none \: of \: the \: above\)

Answer:

The answer to the question is (-5, -9)

There are 560 ways a person can choose a 3-topping sandwich from the 16 available toppings.

To determine the number of ways a person can choose a 3-topping sandwich from 16 available toppings, we can use the concept of combinations.

The formula for calculating combinations is:

C(n, r) = n! / (r! * (n - r)!)

where C(n, r) represents the number of ways to choose r items from a set of n items.

In this case, we want to find C(16, 3) because we want to choose 3 toppings from a set of 16 toppings.

Thus:

C(16, 3) = 16! / (3! * (16 - 3)!)

            = 16! / (3! * 13!)

16! = 16 * 15 * 14 * 13!

3! = 3 * 2 * 1

C(16, 3) = (16 * 15 * 14 * 13!) / (3 * 2 * 1 * 13!)

C(16, 3) = (16 * 15 * 14) / (3 * 2 * 1)

= 3360 / 6

= 560

Therefore, there are 560 ways a person can choose a 3-topping sandwich from the 16 available toppings.

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The value of x in the given ΔCSU is 17.7.

Given data :

m∠CSU = 10x + 3

m∠CUS = 30x - 13 x

The three angles form the triangle ΔCSU then the addition of them makes 180°.

ΔCSU = 180

m∠CSU = 10x + 3

10x + 3  = 180

10x  = 180 - 3

x = 177 / 10 = 17.7

So,

m∠CSU = 10x + 3

Applying the value of x

= 10 x 17.7 + 3

= 180

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Answer:

x=2

Step-by-step explanation:

vertical line so X is the same regardless Y values

so x=2

Answer: x=2

Step-by-step explanation:

Answer:

V shaped graph or absolute value function.

Answer:

2

Step-by-step explanation:

1/2+1/3+1/4 - 0.9

0.9 = 9/10

So, 1/2+1/3+1/4+9/10

The LCD is 60:

30/60+20/60+15/60+54/60 = 120/60

120/60 = 2

PLEASE MARK ME BRAINLIEST!

Answer:

2

Step-by-step explanation:

The series is convergent because sn can be expressed as a telescoping sum, which means that the series will approach a finite value as n approaches infinity.

To determine whether the series [infinity] cos 4n − cos 4n/2n=1 is convergent or divergent by expressing sn as a telescoping sum, we can rewrite the terms using the identity cos 2x = 2cos²ˣ − 1:

cos 4n − cos 4n/2n=1 = 2cos^24n/2 − 1 − 2cos^24n/2n+1 + 2cos^24n+2/2n+2 − 1

This expression has a telescoping sum because each term cancels with the previous and next terms. So we can simplify it as:

s_n = (2cos² 2n − 1) − (2cos² 2n+1 − 1)

s_n = 2(cos² 2n − cos² 2n+1)

s_n = −2(cos² 2n+1 − cos² 2n)

Therefore, the series is convergent because sn can be expressed as a telescoping sum, which means that the series will approach a finite value as n approaches infinity.

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(A) The above linear system's least squares solutions are x₁  = 1/7 and x₂ = 22/21.

(b) [-3/7, 11/21, -22/21] is the least squares error vector, and the least squares error is roughly 0.8571.

We can express the linear system in matrix form to get the least squares solutions:

A * X = B

Where X is the column vector of variables (x₁ and x₂), A is the coefficient matrix, and B is the column vector of constants.

The following is a rewrite of the provided linear system:

| 3 -1 | | x1 | | 4 |

| 1 -2 | * | x2 | = | 3 |

| 2 3 | | 2 |

Finding X that minimizes the error (residuals) between A * X and B is required in order to get the least squares solution (a). The standard equation can be solved to obtain the least squares answer:

A^T * A * X = A^T * B

Where A^T is the transpose of matrix A.

First, let's calculate A^T * A:

= | 3 1 2 | | 3 -1 | | 33 + 11 + 22 3(-1) + 1*(-2) + 2*3 |

= | 1 -2 |

= | 2 3 |

= | 14 -4 |

= | -4 14 |

Next, let's calculate A^T * B:

= | 3 1 2 | | 4 |

= | 3 |

= | 2 |

= | 17 |

= | 7 |

Let's now resolve the standard equation:

| 14 -4 | | x1 | | 17 |

| -4 14 | * | x2 | = | 7 |

Simplifying, we have:

14×1 - 4×2 = 17

-4×1 + 14×2 = 7

Solving this system of equations, we find:

x1 = 1

x2 = 2

So, the least squares solution of the given linear system is x1 = 1 and x2 = 2.

Consequently, x1 = 1 and x2 = 2 are the least squares solutions for the given linear system.

(b) We may determine the residuals by deducting A * X from B in order to obtain the least squares error vector and least squares error:

Residuals = B - A * X

Substituting the values, we have:

| 4 | | 3 -1 | | 1 |

| 3 | - | 1 -2 | * | 2 |

| 2 | | 2 3 | |

| 4 | | 3 - (-1) | | 1 | | 5 |

| 3 | - | 1 - (-2) | * | 2 | = | 2 |

| 2 | | 2 - 3 | | -1 |

The least squares error vector is therefore [5, 2, -1].

The norm (magnitude) of the least squares error vector can be used to determine the least squares error:

Least squares error = ||Residuals||

We obtain the following by applying the Euclidean norm (2-norm): Least Squares Error = (5 + 2 + (-1) + 2) = (25 + 4 + 1) = 30.

As a result, the least squares error is roughly 30.

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Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

Answer:

6 games

Step-by-step explanation:

Use the equation 2.5+3.25x=22 to solve in which $2.50 is the initial amount to rent for Bowling, $3.25 the amount of game that is played, $22 for what you have, and x in which is the amount of games you can play at the max.  Subtract 2.5 on both sides to get to 3.25x = 19.5.  Divide 3.25 on both sides to get your final answer as 6 for your x value in which you can play up to 6 games.

Answer:

6 games

Step-by-step explanation:

you do 2.50 - 22 this you divide 3.25 by what you have left

Answer:

     A

Step-by-step explanation:

got it right on edg 2020

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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