Which of the following is a solution of y - x > -3(6, 2)(2, 6)(2, -1)

Answer:

$48

Step-by-step explanation:

Answer:

original Price is 48 $ with 25%off

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

 +1/4  +1/4

x=3/4

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer:4 ma boi

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

because I am god at meth and very smart

Answer:

The positive sums are:

B. 5 + (–2)

C. –3 + 4

E. –2 + 4

Step-by-step explanation:

We can simply observe the sums to conclude that the sum will be positive or negative.

A. –5 + (–2)

We can see that both numbers are negative, the sum of two nu=egative numbers is also negative.

-5+(-2) = -5-2 = -7

B. 5 + (–2)

The number with greater magnitude is positive so the sum will also be positive.

5 + (–2) = 5-2 = 3

C. –3 + 4

The number with greater magnitude is positive so the sum will also be positive.

-3+4 = 1

D. 0 + (–3)

The number with greater magnitude is negative so the sum will also be negative.

= 0-3 = -3

E. –2 + 4

The number with greater magnitude is positive so the sum will also be positive.

-2+4 = 2

Hence,

The positive sums are:

B. 5 + (–2)

C. –3 + 4

E. –2 + 4

Answer:

$48.66

Step-by-step explanation:

$45.99 x 1.058 = 48.65742

Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

1

Step-by-step explanation:

just keep the first number and flip the sign and it would be 1 i think idrk

Answer:

See explanation below

Step-by-step explanation:

1. 0.65 = 65/100

not 65/1000

65/1000 is 0.065. We want 0.65.

2. 0.65 = 65/100 = 13/20

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Whole part = 12

Fractional part = 3/8

==============================================

Explanation:

For now, let's just focus on the fractional parts of each mixed number.

We have these fractions:

The 4/16 reduces to 1/4, so 4/16 = 1/4

So in reality, we have these fractional parts.

It's not a typo that I'm listing "1/4" twice.

The next step is to get everything to have the same denominator. That denominator is 8 (aka the LCD)

Adding those new fractions gets us:

(2/8)+(2/8)+(3/8)+(4/8) = (2+2+3+4)/8 = 11/8

Rewrite that as a mixed number

11/8 = (8+3)/8

11/8 = (8/8) + (3/8)

11/8 = 1 + 3/8

11/8 = 1 & 3/8

We get the result 1 & 3/8, where 1 is the whole part and 3/8 is the fractional part.

Keep in mind that all we've done so far is add up the fractional parts. We were ignoring the whole parts from each original mixed number.

If we add the whole parts (3,2,1,5) we get 3+2+1+5 = 11, which adds onto the previous whole part of 1 to get 12. So that's where the 12 comes from.

The fractional part 3/8 comes along for the ride to get 12 & 3/8 as the final answer, which is choice D.

-----------------

An alternative route you can take is to convert each original mixed number into an improper fraction, then add those improper fractions (don't forget to get the LCD), and lastly convert the result to a mixed number.

Answer: 8 books

Step-by-step explanation:

y= how much shelf space take up (inches)

x= # of books

y=2x

in this situation 16=y

16=2x

divide both sides by 2

8=x

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

Step-by-step explanation:

Answer:

0.7890476193 cm²

Step-by-step explanation:

We were given the following data set

5.6, 4.9, 6.0, 5.1, 5.5, 5.1, 7.5

Formula for Sample Variance

= (x - Mean)²/ n - 1

n = 7

Step 1

Find the Mean

Mean = Sum of terms/ Number of terms

= (5.6 + 4.9 + 6.0 + 5.1 + 5.5 + 5.1 + 7.5 )cm²/5

= 39.7/7

= 5.671428571 cm²

Step 2

We find the Sample Variance

Formula for Sample Variance

= (x - Mean)²/ n - 1

= (5.6 - 5.671428571)² + (4.9 - 5.671428571)² +( 6.0 - 5.671428571)² + (5.1 - 5.671428571)² + (5.5 - 5.671428571)² + (5.1 - 5.671428571)² + (7.5 -5.671428571)² )cm²/5 - 1

=( 0.005102040817 +0.5951020408 + 0.1079591837 + 0.3265306122+ 0.02938775509 + 0.3265306122 + 3.343673471)cm²/4

= 4.734285716cm²/4

= 0.7890476193 cm²

Therefore, the Sample Variance is 0.7890476193cm²

Answer:

x could be 3 or 1

Step-by-step explanation:

x²+3=4x

x²-4x+3=0

(x-3)(x-1)

x could be 3 or 1

The values could be 1 or 3.

In this exercise, you're required to write a mathematical (algebraic) expression for the given word problem and determine which values could be the unknown number.

Translating the word problem into an algebraic expression, we have;

\(n^{2} = 4n - 3\\\\n^{2} - 4n + 3 = 0\)

We would solve the quadratic equation by using the factorization method;

\(n^{2} - 3n -n + 3 = 0\\\\n(n - 3) - 1(n - 3) = 0\\\\(n - 1)(n - 3) = 0\)

Therefore, the values could be 1 or 3.

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Answer: BASE 10

Step-by-step explanation:

The polynomial which in the descending order of the polynomial 4x³ + 3x⁷ - 9x + x¹² is option A.  x¹² + 3x⁷ + 4x³ - 9x.

Polynomial is an algebraic expression that consists of variables, coefficients, constants and powers or exponents which are all combined using operations like subtraction, addition, multiplication.

We have the polynomial,

4x³ + 3x⁷ - 9x + x¹²

We have to write it in the descending order.

Descending order is to write it in a way that the power of the variable decreases for each succeeding term.

Here the term x¹² has the highest power of 12. So it should be the first term.

Then the highest power is 7 for the term 3x⁷ and then comes 4x³ and -9x.

Hence the polynomial in the descending order is x¹² + 3x⁷ + 4x³ - 9x.

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Answer:69.66

r=9 so diameter is 18, and the shape being a square you do 18 x 18 = 324

now the circles area is 254.34 now find the difference... and it is 69.66

Step-by-step explanation:

The graph of the inverse function is given by the image presented at the end of the answer, and the correct option is given by option 3.

The parent function for this problem is the cube function translated up two units, hence it is defined as follows:

y = x³ + 2.

To obtain the inverse function, first we must exchange the variables x and y on the definition of the function, as follows:

x = y³ + 2.

Then we must isolate the variable y, as follows:

\(y^3 = x + 2\)

\(y = \sqrt[3]{x + 2}\)

Which has the correct dashed graph given by option 3 on the image given.

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To use the given formula, we need to count the total number of species and the total number of individuals. Using the given information, we can see that Amy reported 6 different species. Now we will count all available individuals. There are (9+43+17+2+3+2=76) 76 individuals in total. So, if we apply the formula, the diversity index is

which written as a decimal is about 0.07894

Answer:

52

Step-by-step explanation:

First, we want to see how we get from 104 to 156.

Looks like we add 52 to get the next.

104 + 52 = 156

156 + 52 = 208

Logically if we want to go back, we simply subtract 52.

104 - 52 = 52

Answer:

52

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of the expression is 1.766.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given the expression,

2\(e^{3x}\) = 400

divide by 2 into both sides

\(e^{3x}\) =  400/2

\(e^{3x}\) = 200

converting the expression in form of a log,

ln(\(e^{3x}\))= ln(200)

log(aⁿ) = n log(a)

3x ln(e) = ln(200)  [ln(e) = 1 and ln(200) = 5.2931]

3x = 5.2931

x = 1.766

Hence Option B is correct.

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Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

The probability in decimal form that she will flip head on the next flip of the coin is 0.45

From the question, we have the following parameters that can be used in our computation:

Number of flips = 200

Number of times she flips head = 90

Using the above as a guide, we have the following:

The probability that she will flip heads on the next flip of the coin is represented as

P(Head) = Number of times she flips head/Total number of flips

Substitute the known values in the above equation, so, we have the following representation

P(Head) = 90/200

Evaluate the quotient

P(Head) = 0.45

Hence, the probability is 0.45

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