What does 3 represent in d=3t

The relation between the probability of its complement is that their sum is 1.

Complement in probability theory is an essential concept that helps us understand the likelihood of an event not occurring. It is a mathematical term that refers to the opposite or negation of an event.

Complement refers to the probability of an event not occurring, given the probability of it occurring. It is often denoted as the complement of an event A and is represented by A’.

The complement of an event A is defined as the set of all outcomes in the sample space that are not in A.

The probability of the complement of A is equal to the probability of all the outcomes in the sample space that are not in A.

The most important properties of the complement of an event is that the probability of an event and its complement always add up to 1. This is known as the law of complementary probability, and is expressed as:

P(A) + P(A’) = 1

This means that if we know the probability of an event occurring, we can easily calculate the probability of its complement by subtracting the probability of the event from 1.

For example, if the probability of event A is 0.7, then the probability of its complement, A’, is 1 – 0.7 = 0.3.

Hence the relation between the probability of its complement is that their sum is 1.

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Answer:

Step-by-step explanation:

a, e, f

Leah's argument is that the rounded up figures for Tuesday sales are greater than the sales for Monday. She supports it by summing up the sales figures.

Leah's reasoning is wrong because she rounded up $ 233 to $ 300 instead of to $ 200.

Leah's reasoning therefore does not make sense.

Leah attempts to round the Tuesday sales figures to the nearest 100. In doing so, she rounded $ 233 to $ 300 instead of $ 200 which was the closest.

If she had done so, the result would be :

= 200 + 400

= $ 600

This would then show that Monday's figures were higher than Tuesday.

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Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

x over 5 or x divided by 5

Step-by-step explanation:

x over 5 : \(\frac{x}{5}\)

x divided by 5 : x ÷ 5

Answer:

Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Step-by-step explanation:

Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:

Guitar Central

100 - 20 = 80

349 x 0.8 = X

279.20 = X

Music mart

419 - 200 = X

219 = X

Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

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Step-by-step explanation:

Since 8.7b = (-2.9) * (-3b),

and -11.6 = (-2.9) * (4),

8.7b - 11.6 = -2.9(4 - 3b).

Answer: 1226.72g

Step-by-step explanation:

If 460g of flour is needed to make enough dough balls for 6 people, we can find the amount of flour needed for each person by dividing 460 by 6:

460 g / 6 = 76.67 g/person

To find the amount of flour needed for 16 people, we can multiply the amount of flour needed per person by the number of people:

76.67 g/person * 16 people = 1226.72 g

Therefore, we need 1226.72 g of flour to serve 16 people.

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

Now let's check the pairs of x and y:

x = 6, y = 3

x = 3, y = 5

x = 6, y = 4

x = 1 , y = 3

Answer:

D. x= 1, y = 3​

Step-by-step explanation:

I took the test

Answer:Write x² + 10x + 29 in the form (x + c)² + d, where c

Step-by-step explanation:

Answer:

(x+5)² + 4, so c is 5 and d is 4

Step-by-step explanation:

x² + 10x + 29 is a quadratic equation which can be witten as x² + bx + c, where b is 10 and c is 29.

We need to complete the square to get it in the form

(x + c)² + d

Completing the square uses the form:

\((x + \frac{b}{2} ) {}^{2} - ( \frac{b}{2} ) {}^{2} + c\)

substitute b = 10 and c = 29 in this form:

\((x + \frac{10}{2}) {}^{2} - ( \frac{10}{2} ) {}^{2} + 29\)

Simplify further:

\((x + 5) {}^{2} - 25 + 29\)

\((x + 5) {}^{2} + 4\)

c = 5, d = 4

Answer:

First, it’s a loyalty program.  They are rewarding their loyal customers with a lower price.  This is good for building long term clients and maximizing lifetime revenue of a customer.  However, as a loyalty program it has a pretty big flaw.  After the customer gets his free coffee, he is back to ground zero and has no built up financial incentive to return.  Of course he does still know he gets a lower price if he buys 10 more.

Answer: -5x^2 + 2

Step-by-step explanation:

False

The median car price is the one right in the middle of the price list. To find the median, we first need to rank the prices from lowest to highest.

The ordered price list looks like this:

$3,999; $4,500; $4,999; $5,000; The median price is $4,999, which is the median price. The average price is not $4,799.60.

Median is a measure of the central tendency of a dataset. The value that separates the top and bottom halves of the record. To find the median, we need to enter the values ​​in the dataset in order from lowest to highest. If the dataset has an odd number of values, the median is the mean.

For example, given the following five values: For 3, 5, 7, 9, 11, the median is the median, so the median is 7. If the dataset has an even number of values, the median is the average of the two middle values. For example, given the following 6 values:

For 3, 5, 7, 9, 11, 13, the median is (7 + 9)/2 = 8. In this case, there are 5 values, which are odd, so the median is the median. , which is $4,999.

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Answer:

\( \red{ \bold{ m = 4 \sqrt{10}}} \)

Step-by-step explanation:

By geometric mean theorem:

\(m = \sqrt{8 \times 20} \\ \\ m = \sqrt{160} \\ \\ m = \sqrt{16 \times 10} \\ \\ m = \sqrt{ {4}^{2} \times 10} \\ \\\huge \red{ \bold{ m = 4 \sqrt{10}}} \\ \\ \)

Answer:

70km

Step-by-step explanation:

\(1cm = 20km \\ 3.5cm = 3.5 \times 20km \\ = 70km\)

Answer: Undefined

Step-by-step explanation:

4y+x=12, 2x=24-8y

Isolate x by subtracting 4y

4y+x=12

x=12-4y

Plug the equation for x in to anywhere you see the variable x in the other equation

2(12-4y)=24-8y

Distribute 2

24-8y=24-8y

Get the variables on one side so add 8y (cancels out)

24=24

Can’t solve its undefined

Answer:

-3,0

Step-by-step explanation:

The vertex is just the lowest or highest point of a parabola.

Answer:

i think it is 1/4

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The transformation T maps the unit square to a figure with an area of 24 and a vertex at (5,3) which gives: T(x, y) = (6x + 5, 8y + 3).

To find a transformation T that maps the unit square to a figure with an area of 24 and a vertex at (5,3), we can use a combination of scaling and translation.

Let's denote the unit square as S, and the transformed figure as F.

To obtain a rectangle with an area of 48 and a vertex at (5,3), we can scale the unit square by multiplying the x-coordinates by 6 and the y-coordinates by 8, and then translate the scaled rectangle by adding (5,3) to the coordinates of each point.

Therefore, the transformation T can be expressed as:

T(x, y) = (6x + 5, 8y + 3)

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Answer:

(a) 160 Naira

(b) Undefined

Step-by-step explanation:

Given

Let:

\(y \to\) cost of bag of rice

\(x \to\) people demanding the bag

So, we have:

\(y\ = \frac{k}{\sqrt x} + c\) ---- The variation

\(y = 100; x = 36\)

\(y = 150; x = 144\)

We have:

\(y\ = \frac{k}{\sqrt x} + c\)

When: \(y = 100; x = 36\)

\(100 = \frac{k}{\sqrt {36}} + c\)

\(100 = \frac{k}{6} + c\) -- (1)

When: \(y = 150; x = 144\)

\(150 = \frac{k}{\sqrt {144}} + c\)

\(150 = \frac{k}{12} + c\)--- (2)

Subtract (1) from (2)

\(150 - 100 = \frac{k}{12} - \frac{k}{6} + c - c\)

\(50 = \frac{k}{12} - \frac{k}{6}\)

Multiply through by 12

\(600 = k - 2k\)

\(600 = -k\)

\(k = -600\)

To solve for x, we have:

\(100 = \frac{k}{6} + c\) -- (1)

This gives:

\(100 = \frac{-600}{6} + c\)

\(100 = -100 + c\)

\(c = 100 + 100\)

\(c = 200\)

So, the equation is:

\(y\ = \frac{k}{\sqrt x} + c\)

\(y = -\frac{600}{\sqrt x} + 200\)

Solving (1): y; when x = 225

We have:

\(y = -\frac{600}{\sqrt x} + 200\)

\(y = -\frac{600}{\sqrt {225}} + 200\)

\(y = -\frac{600}{15} + 200\)

\(y = -40 + 200\)

\(y = 160\)

Solving (2): x; when x = 200

We have:

\(y = -\frac{600}{\sqrt x} + 200\)

\(200 = -\frac{600}{\sqrt x} + 200\)

Collect like terms

\(\frac{600}{\sqrt x} = 200 - 200\)

\(\frac{600}{\sqrt x} =0\)

Cross multiply

\(600 =0 * \sqrt x\)

\(600 =0\)

x is undefined

Answer:

x ≈ 62°

Step-by-step explanation:

By applying tangent rule in the given right angled triangle,

tan(x) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

tan(x) = \(\frac{15}{8}\)

tan(x) = 1.875

x = \(\text{tan}^{-1}(1.875)\)

x = 61.93

x ≈ 62°