Select the correct text in the passage.
iS John is a journalist. He went to a product demonstration for a new computer. Some of what he heard was informative, while the rest was meant to
persuade consumers to buy the product. Which two statements in the excerpt are persuasive rather than informative?
At the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer. The
computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can
do at present.
The computer also has touchscreen technology, is loaded with the latest apps, and comes with a free year's subscription to Adobe
Photoshop. This is the best buy on the market.

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

What is the binomial probability distribution formula?

The formula is:

P(X=x) = Cₙ,ₓ.pˣ.(1-p)ⁿ⁻ˣ

Cₙ,ₓ = n!/x!(n-x)!

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

About 30% of frozen chickens are contaminated, hence p=0.3.

Chickens are delivered to grocery stores in crates of 24, hence n=24

The probability that a certain crate has more than 4 contaminated chickens is:

P(X>4)=1-P(X≤4)

In which:

P(X≤4) = (P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

Then

P(X=x) =  Cₙ,ₓ.pˣ.(1-p)ⁿ⁻ˣ

P(X=0) = C₂₄,₀.(0.3)⁰.(0.7)²⁴ = 0.0002

P(X=1) = C₂₄,₁.(0.3)¹.(0.7)²³ = 0.0020

P(X=2) = C₂₄,₂.(0.3)².(0.7)²² = 0.0097

P(X=3) = C₂₄,₃.(0.3)³.(0.7)²¹ = 0.0305

P(X=4) = C₂₄,₄.(0.3)⁴.(0.7)²° = 0.0687

Hence

P(X≤4) = (P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

= 0.0002+0.0020+0.0097+0.0305+0.0687

= 0.1111

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

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The rate of interest in one account whose investment is $2300 will be 3.21%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Aniyah puts $2300 in one record and $1400 in a record paying 4 % higher interest. Toward the finish of one year, she had procured $130 in interest.

Let 'x' be the interest. Then the equation is given as,

(2300 × x × 1)/100 + (1400 × 4 × 1) / 100 = 130

Simplify the equation, then we have

23x + 56 = 130

23x = 74

x = 3.21%

The pace of revenue in one record whose speculation is $2300 will be 3.21%.

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Answer: y = 5x

Step-by-step explanation:

The chances that the revenue on the first show will exceed $800 when mean revenue is $336.25 and standard deviation is $38.16 is essentially zero. i.e. 0

A normal distribution is a type of continuous probability distribution in which the majority of data points cluster in the middle of the range, while the remainder taper off symmetrically toward either extreme. The mean of the distribution is also known as the middle of the range.

The normal distribution is primarily used to calculate the likelihood of an observation in a distribution falling above or below a given value.

Given,

Mean, [tex]\mu[/tex] = 336.25

variance, [tex]\sigma^2[/tex]= 1456

then,

standard deviation, [tex]\sigma = \sqrt{1456}[/tex] = 38.16

To determine the chances that the revenue on the first show will exceed 800 is1:

[tex]1-p(z=\frac{x-\mu}{\sigma})\\\\=1-p(z=\frac{800-336.25}{38.16})\\\\=1-p(z=\frac{436.75}{38.16})\\\\=1-p(z=12.15)\\\\=1-1=0[/tex]

Hence, there is no chance that the revenue will exceed $800 on the first show.

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Using percentages, we can determine that the Luce family pays $16.34 in state tax because there are no federal withholding exemptions.

A percentage is a relative figure that has the ability to represent 1/100th of any quantity.

Since 1% denotes one percent, 100 percent and 200 percent indicate the full amount and double the quantity, respectively.

By multiplying by 100 and inserting the "percentage sign"%, a ratio and fraction can be transformed into a percentage.

So, Luce is single and makes $763 twice weekly.

She does not request any compensation from federal withholding.

The value of this amount ranges from $760 to $780.

If we look at the table in the issue, the federal tax for this slab is $86.

Federal taxes now make up 19% of all state taxes.

Hence, the $86 in federal tax at a rate of 19% is:

Tax = 86 * 19/100

Tax = 16.34

Therefore, using percentages, we can determine that the Luce family pays $16.34 in state tax because there are no federal withholding exemptions.

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Correct question:

Use the tax table to help answer the following question.

A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.

Luce is single and makes $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute?

a. $12.92

b. $15.13

c. $15.77

d. $16.34

Answer:

Step-by-step explanation:

the answer is 11/12

The likelihood that the next 20 marbles picked will be yellow marbles is 9/20.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

The probability that of the next 20 marbles selected it is expect to be yellow marbles,

=9/20

The probability that of the next 20 marbles selected it is expect to be yellow marbles will be 9/20.

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Answer:

the answer is 10

Step-by-step explanation:

ixl says its ten

first 2;

a) 7(2) + 8 = 22 > 16, 7(4) + 8 = 36>32

36 - 22 = 14/2 = 7

32 - 16 = 16/2 = 8

7<8

the table has a greater rate of change

y intercept

equation; 8

table; 0

8> 0

the equation has a greater y intercept

The maximum and minimum values of the given function will be equal to -1.47 and -6.52.

The 2nd equation in x is known as a quadratic function. ax² + bx + c = 0 is the quadratic equation in standard form, wherein there a and b are the coefficient, x is the constant, and c is the constant.

As per the equation given in the question,

f(x) = x² + 8x + 9.6

D = b² - 4ac

= 8² - 4(1)(9.6)

D = 25.6

Now, find the roots,

-(b ± √D)/2a

-(8 ± 5.05)/2

So, the roots are,

-(8 + 5.05)/2 = -1.47,  (x + 1.47)

-(8 - 5.05)/2 = -6.52,  (x + 6.52)

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Answer: B.

Step-by-step explanation:

x+2y≤4

3x-y≥2

Answer: grace has the most money

Step-by-step explanation:

Because

Grace has 2 quarters = 50 cents

Jen has 4 dimes and 1 nickel = 45 cents

Keesha has 3 dimes and 3 nickels = 33 cents

Terry has 1 quarter and 1 dime = 26 cents

so as you can see grace has the most money

Answer:

24 Inches

Step-by-step explanation:

The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

What is the length of a piece of wood that uses 8 nails?

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.

The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.

Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:

sin(A) = BC / AC

Substituting the given values, we get:

sin(24°) = BC / 14

We can use a calculator or look up the value of sin(24°) to get:

sin(24°) ≈ 0.406

Solving for BC, we get:

BC = 14 * sin(24°) ≈ 5.72

To find AC, we can use the cosine function:

cos(A) = AC / AC

Substituting the given values, we get:

cos(24°) = AC / 14

We can use a calculator or look up the value of cos(24°) to get:

cos(24°) ≈ 0.913

Solving for AC, we get:

AC = 14 x cos(24°) ≈ 12.67

Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.

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The Area of the Shaded Region is 184.61 sq. mm

What is Area?

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Solution:

Area of the Shaded Region = Area of Rectangle - 2 * Area of Circles

Area of Recatangle = Length * Breadth = 21 * 13 = 273 sq. mm

2 * Area of Circle = 2* πr² = 2 * 22/7 * 7.5/2 * 7.5/2

= 88.39 sq. mm  

Area of the Shaded Region = 273 - 88.39 = 184.61 sq. mm

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The reasonable domain for the range: 68,71,74,77,80 is { 1,2,3,4,5 } .

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

The collection of all feasible independent variable values is known as the mathematical domain. The set of all independent variable values that are conceivable yet make sense in the context at hand is known as the reasonable domain.  

Given:

range: 68,71,74,77,80

Domain:1,2,3,4,5

Here, the situation is not given.

So, the reasonable domain is { 1,2,3,4,5 }

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TRUE: The given contrapositive statement are correct,

If m ≤ 3, then, m < 5.

For the stated conditional statement -

If m ≤ 3, then, m < 5.

Then, contrapositive statement for the given statement will be

(m < 5)' ⇒ (m ≤ 3)'

That is;

(m > 5) ⇒ (m > 3)

That is, if m> 5 then, m > 3, which is true.

Thus, the contrapositive statement for the given conditional statement is true.

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The inverse function is given by f⁻¹(x) = 1.06x.  2 euros is equivalent to 2.12 U.S. dollars. 4 euros is equivalent to 4.24 U.S. dollars

Given that: the two different currencies is modeled by a linear function f(x) = x/1.06

where, x = an amount in U.S. dollars and f(x) = the equivalent amount in euros

To find the inverse function f⁻¹(x). Let y = f(x):

y = x/1.06

x = 1.06y

Since x = f⁻¹(y) = 1.06y

Thus, f⁻¹(x) = 1.06x

Note: f⁻¹(x) will help you convert from euros to dollar

2 euros to dollars will be:

f⁻¹(x) = 1.06x

f⁻¹(2) = 1.06(2) = 2.12

Thus, 2 euros is equivalent to 2.12 U.S. dollars

4 euros to dollars will be:

f⁻¹(x) = 1.06x

f⁻¹(4) = 1.06(4) = 4.24

Thus, 4 euros is equivalent to 4.24U.S. dollars

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When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,

the Constant: $90 and $7

the Coefficient: $7

the Equation:  $90 + $7x

Information form the problem shows that

one big gift that will cost $90

some small gifts that cost $7 each

the constant in this case is the price of the gifts

$90 and $7

the coefficient is $7

the equation is

$90 + $7x

where x is the number of the small gifts

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By using the substitution property, the value of f(-2) is -4.

What is the substitution property of equality?

In an expression or equation, one value can be substituted for another and the result will still be the same. This is known as the substitution property of equality. If the values of x and y are the same, then x and y can be substituted for one another.

Given, f(x) = x² + 3x - 2

To find the value of f(-2), apply substitution property

f(-2) = (-2)² + 3(-2) - 2 = 4 - 6 - 2 = -2-2 = -4

Hence, the value of f(-2) is -4.

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Answer: 68600

hope it helps!

The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

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Answer:

The pattern is that each number in the sequence is the previous number minus 1.5. For example, -5.5 is -4 minus 1.5, -7 is -5.5 minus 1.5, and so on.

Answer:

-1.5

Step-by-step explanation:

You take two of the variables in the pattern and subtract them with the second one being the minuend, and the first being the subtrahend.

For example we will use -4 and -5.5

(-5.5) - (-4) = -1.5

There is a negative sign present so it indicates subtraction towards the pattern.

Hence, the pattern change rate is -1.5

Answer:

D

Step-by-step explanation:

if you move the preimage on the image you can see that the two figures are equals

Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.

En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:

x - Cantidad de dinero de Fátima.

y - Cantidad de dinero de Gabriel.

z - Cantidad de dinero de José.

Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.

x + y + z = 1080

Gabriel tiene 3 veces lo que José tiene.

y = 3 · z

Fátima tiene $ 70 menos que José.

x = z - 70

A continuación, resolvemos el sistema de ecuaciones lineales:

x + y + z = 1080

(z - 70) + 3 · z + z = 1080

5 · z - 70 = 1080

5 · z = 1150

z = 1150 / 5

z = 230

x = z - 70

x = 230 - 70

x = 160

y = 3 · z

y = 3 · 230

y = 690

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Answer:

5

Step-by-step explanation:

2 +3 = 5    

The waterwheel takes 40 seconds to make one turn.

To find the period of the function, we need to find the time it takes for the function to repeat itself. In this case, we want to find the time it takes for the waterwheel to complete one turn.

The function h = 15 cos (π/20) t models the height of the cloth in relation to sea level as a function of time.

The cosine function has a period of 2π, so the period of the function h = 15 cos (π/20) t will be 2π divided by (π/20) which simplifies to 40 seconds.

Therefore, it takes 40 seconds for the waterwheel to complete one turn.

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The probability that your cards are all face cards are,

We know that Total number of cars is 52 .

26 red and 26 is black.

13 are hearts ,

13 are diamonds,

13 are clubs,

13 are spades.

(​a) The first club you get is the third card dealt,

Probability P (first club get is the third card dealt) = P(Non-club x Non club x club)

So,

P = [tex]\frac{39}{52} * \frac{38}{51} * \frac{13}{50}[/tex]

P = 0.145

(b) Your cards are all black,

[tex]P_{all are black}[/tex] = [tex]\frac{26}{52} *\frac{25}{51} *\frac{24}{50}[/tex]

[tex]P_{all are black}[/tex] = 0.116

(c) You get no hearts,

[tex]P_{no heart}[/tex] = [tex]\frac{39}{52} *\frac{38}{51} *\frac{37}{50}[/tex]

[tex]P_{no heart}[/tex] = 0.413

(d) You have at least one red card,

[tex]P_{at least one red}[/tex] = 1 - [tex]P_{no red}[/tex]

[tex]P_{no red}[/tex] = [tex]\frac{26}{52} *\frac{25}{51} *\frac{24}{50}[/tex]

[tex]P_{no red}[/tex] = 0.116

[tex]P_{at least one red}[/tex] = 1 - 0.116

[tex]P_{at least one red}[/tex] = 0.884

Therefore,

The probability that your cards are all face cards are,

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