g A supermarket has three employees who equally packages and weighs produce. Employee A records the correct weight 96% of the time. Employees B and C record the correct weight 95% and 94% of the time, respectively. One customer complains about the incorrect weight recorded on a package he has purchased. What is the probability that the package was weighed by Employee C?

Step-by-step explanation:

what is meant by mg in this question

The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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Answer:

A = Pert is formula for continuously compounded interest

A = final amount = 2000

P = principal = 1000

e = euler's number (on calculator)

r = interest rate as decimal = .075

t = time in years

Your mistake is that 7.5% as a decimal is 7.5/100 = .075

not 7.5

2000 = 1000e.075t

e.075t = 2000/1000

e.075t = 2

take natural log of both sides

ln e.075t = ln 2

.075t = ln 2

t = ln2/.075

t = 9.24 years

Answer:

7 3/20

Step-by-step explanation:

I took the quiz.

Answer: 7 3/20

Step-by-step explanation:

k12

Answer:

\(Tower 4 = 23.9cm\)

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

\(X + Z = 15.6\) ----- Equation 1

\(X + Y = 18.3\) ----- Equation 2

\(Z + Y = 13.9\) ----- Equation 3

Subtract equation 1 from 2

\((X + Y = 18.3) - (X + Z = 15.6)\)

\(X - X + Y - Z = 18.3 -15.6\)

\(Y - Z = 18.3 -15.6\)

\(Y - Z = 2.7\) ---- Equation 4

Add Equation 4 to Equation 3

\((Y - Z = 2.7) + (Z + Y = 13.9)\)

\(Y + Y - Z + Z = 2.7+ 13.9\)

\(2Y = 2.7+ 13.9\)

\(2Y = 16.6\)

Divide both sides by 2

\(\frac{2Y}{2} = \frac{16.6}{2}\)

\(Y = \frac{16.6}{2}\)

\(Y = 8.3cm\)

Substitute \(Y = 8.3cm\) in Equation 2 and 3

\(X + Y = 18.3\) ----- Equation 2

\(X + 8.3 = 18.3\)

Subtract 8.3 from both sides

\(X + 8.3 - 8.3 = 18.3 - 8.3\)

\(X = 18.3 - 8.3\)

\(X = 10cm\)

\(Z + Y = 13.9\) ----- Equation 3

\(Z + 8.3 = 13.9\)

Subtract 8.3 from both sides

\(Z + 8.3 - 8.3 = 13.9 - 8.3\)

\(Z = 13.9 - 8.3\)

\(Z = 5.6cm\)

So, we have that

\(X = 10cm\)

\(Y = 8.3cm\)

\(Z = 5.6cm\)

The question states that the 4th tower is made up of the three shapes;

This implies that;

\(Tower 4 = X + Y + Z\)

\(Tower 4 = 10cm + 8.3cm + 5.6cm\)

\(Tower 4 = 23.9cm\)

The height of the 4th tower is 23.9cm

Answer:

I Think its 81.68141

Answer:

y=  11/2 x+1/2

Step-by-step explanation:

Slope Intercept form: y = mx + b where m = slope of the line, b = y intercept and (x,y) are coordinate points on the line.

To put this in slope-intercept form, you need to solve the equation for y

-11x + 2y  =  1

+11x             +11x  add 11x to both sides of the equation

      +2y = 1 + 11x

        2         2     Divide both sides by 2 (so y is by itself)

y = 11/2x + 1/2

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

Answer:

Step-by-step explanation:

  =

can make 11 batches with 1/3 stick butter left over

Answer:

1 5/8

Step-by-step explanation:

Answer:

0.332647386%

Step-by-step explanation:

899Euros-599.95Euros=299.05Euros

299.05euros/899euors*100%= 0.332647386%

In total, the theater seats 1442 people.

Given : The number of rows in the theater = 26

The number of chairs in first row = 18

The number of rows in the second row = 21

The number of rows in the third row = 24

The common difference in the number of chairs for the consecutive rows \(=3\)

Thus its a Arithmetic progression.

Let n be the number of rows and d be the common difference , then the total number of chairs in n rows is given by:

\(\text{S}_{\text{n}}=\dfrac{\text{n}}{2}(2\text{a}+(\text{n}-1)\text{d})\), where a is the umber of chairs in first row .

Put a = 18, d = 3 and n = 26, we get

\(\text{S}_{\text{26}}=\dfrac{\text{26}}{2}(2(18)+(26-1)\text{3})=1442\)

Hence, In total, the theater seats 1442 people.

Answer:

Step-by-step explanation:

2(3n-5)-4n+7=

6n-10-4n+7=

-3+2n

Answer:

2n-3

Step-by-step explanation:

2(3n-5)-4n+7

6n-10-4n+7

6n-4n-10+7

2n-10+7

2n-3

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

Streamers cost 2.50 and balloons cost 1.25.

Step-by-step explanation:

Pls mark brainliest.

Answer:

Balloon : $1.25

Streamer : $ 2.50

Step-by-step explanation:

Form simultaneous equations.

Let streamer be represented by ------------s

Let balloons be represented by ------------b

So the equations will be;

3s + 2b = 10 ----------------i

2s + 1b = 6.25---------------ii

Make the terms with s equal by multiplication

[3s + 2b = 10 ]2

[2s + 1b = 6.25]3

Perform subtraction

6s + 4b = 20

6s + 3b = 18.75

b = 1.25 ---------iii

Use  iii  in ii  as;

2s + 1b = 6.25

2s + 1.25 = 6.25

2s = 6.25 - 1.25

2s = 5.00

s= 5.00 / 2

s= 2.5

Hence ; a balloon is  $1.25   and a streamer is $2.5

Answer:

The answer is 3.

Step-by-step explanation:

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

Answer:

Great question

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4x+9)/(7/3)=(3x)/(1/2)

(12x+27)/7=6x

12x+27=42x

-30x+27=0

-30x=-27

x=27/30

x=9/10

Answer:

I got x=0.

Step-by-step explanation:

Tell me if I am wrong.

Find the perimeter of the region.**

The circle are congruent to each other.

The circles are tangent to each other, and the straight

segments are tangent to the circles.

The straight

segments are 5 units long

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

Answer: 17/24

Step-by-step explanation:

let x be the fertilizer used in the flower bed

to find how much he has left

1 3/8 - x = 2/3

the fraction 1 3/8 we can write as 11/8

11/8 - x = 2/3

11/8 -2/3= x

we need the common denominator between 8 and 3, which is 24

33/24-16/24=17/24

Answer:

-1/2 < 43/64

The least common denominator (LCD) is: 64.

Rewriting as equivalent fractions with the LCD:

-1/2 43/64

-32/64 43/64

Comparing the numerators of the equivalent fractions we have:

-1/2   43/64

-32/64 < 43/64

Therefore, comparison shows:

-1/2 < 43/64

Answer:

-11/2

Step-by-step explanation:

It's negative so that'd mean that it's smaller

Answer:

The p-value of the test is 0.049.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the experimental toothbrush was effective or not.

The hypothesis for the test can be defined as follows:

H₀: The experimental toothbrush was not effective, i.e. d = 0.

Hₐ: The experimental toothbrush was effective, i.e. d < 0.

The information provided is:

 \(\bar d=5.5\\S_{d}=11.6\\n=14\)

Compute the test statistic value as follows:

 \(t=\frac{\bar d}{S_{d}/\sqrt{n}}\)

   \(=\frac{5.5}{11.6/\sqrt{14}}\\\\=1.7740617\\\\\approx 1.774\)

The test statistic value is 1.774.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

 \(p-value=P(t_{n-1}<1.774)\)

                \(=P(t_{13}<1.774)\\=0.049\)

*Use a t-table.

The p-value of the test is 0.049.

p-value= 0.049 > α = 0.05

The null hypothesis will be rejected.

Thus, it can be concluded that experimental toothbrush was effective.

Answer:

A. y = -2/3x + 2

Step-by-step explanation:

Your is to isolate the y. The first thing you would do is subtract the 2x,

2x + 3y = 6

-2x        =

3y = -2x +6

then to isolate the ,y, you would next divide everything by 3, so that the ,y, stays by itself.

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

Simplify,

y = -2/3x + 2

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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On solving the provided question we can say that - the decimal form of the provided problem 2/3 + 4/7 is = 1.467

A fraction expressed in a particular format is called a decimal. Instead of writing 1/2, for instance, you might write 0.5 instead, with a 0 in the ones place and a 5 in the tens position. Decimal is derived from the Latin decimus, which means tenth, from the number ten or decem. A reciprocal is a function that "undoes" another function in mathematics. In other words, if f(x) results in y, setting y to be f's counterpart results in x. Reversible functions are defined as having an inverse, which is represented by the symbol f1. The inverse of the function f(x) = 2x + 3 is f-1(x) = (x - 3)/2, serving as an illustration.

the problem is -

2/3 + 4/7

0.667 + 0.800

1.467

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The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Answer: The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Answer:

The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Step-by-step explanation:

I hope that helps!!!!!!!!!!