Find the value of x
please

Probabilities are used to determine the chances of events

The probability that the salesman left his sunglasses in the first store is 0.16

The given parameter is:

p = 1/5 ---- the probability that he left his sunglass

The probability that he did not leave his sunglass would be:

q= 1- 1/5

Evaluate the difference:

p = 4/5

So, the probability that the salesman left his sunglasses in the first store is:

Pr = 1/5 * 4/5

Evaluate the product

Pr = 4/25

Express as decimal

Pr = 0.16

Hence, the probability that the salesman left his sunglasses in the first store is 0.16

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There are a total of 90 numbers between 10 and 99 (including both the numbers)

Digits are the main and basic part in mathematics. with out digit we can not make numbers. we know in mathematics there have 10 digits 0,1,2,3,4,5,6,7,8,9. the are also known as single digit .

The numbers from 10 to 99 can be said as two digit numbers.

These numbers are made up using two - single digit numbers,

The lowest two digit number is 10 (ten) and the heighest two digit number in terms of value is 99 (ninty nine)

Therefore, there are a total of 90 numbers between 10 and 99 (including both the numbers).

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Answer:

c 95

Step-by-step explanation:

Answer: x = 25

Step-by-step explanation:

A square on an angle basically means that the angle is 90 degrees in total.

But your angle is divided up into 2 sections.

The one you need to find is x, and the known angle, 65.

You basically have 65 + x = 90 because those 2 angles have to equal 90 degrees.

When you solve for x, subtract 65 on both sides and you get x = 25.

Answer:

-9 al conjunto de los números enteros.

-4/4 pertenece a los enteros.

-5.124 pertenece al conjunto de los racionales

Step-by-step explanation:

En esta pregunta, básicamente lo que debes hacer es clasificar cada uno de los números de acuerdo al conjunto numérico. Como podrás ver en la foto 1, tienes una representación gráfica de los conjuntos numéricos existentes.

Los números naturales (N), comprenden desde el 1 hasta el infinito.

Los números enteros (Z) comprenden los negativos, el cero y todos los naturales.

Finalmente los números racionales (Q) comprenden los números enteros, los naturales y también fracciones y números decimales.

De acuerdo a estas definiciones y la foto, podemos observar que todos los números dados acá pertenecen al conjunto general de los racionales (Q), pero veamos ahora específicamente a cual:

El número -9 (o el 9) si es negativo, pertenece a los enteros; si es positivo sería entero y natural.

El número -4/4 es una fracción, que al ser dividida da como resultado el número -1, y este pertenece a los enteros.

El número -5.124 (o 5.124) es un número decimal finito, por lo que proviene de una fracción, asi que pertenece a los números racionales.

Espero que esto te ayude.

We can arrange the 2023 squares to cover the unit square, with overlaps allowed.

We can prove that a collection of 2023 closed squares of total area 4 can be arranged to cover a unit square by using the pigeonhole principle. Since the total area of the squares is 4, the average area of each square is 4/2023. Let's take a unit square and divide it into 2023 smaller squares of area (1/2023) each. By the pigeonhole principle, we can assign one of the 2023 squares to each of the smaller squares. Since the average area of each square is 4/2023, each of the assigned squares will overlap with at most 4 other squares. Therefore, we can arrange the 2023 squares to cover the unit square, with overlaps allowed.

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Answer:

The slope is just 2/3 and the y intercept is (0,3)

Answer:

Total Volume = 190 m³

Step-by-step explanation:

Volume of the entire figure = L (Area 1  + Area 2)

where L = 10 m

Area 1 (blue prism) = 4 x 3 = 12 m²

Area 2 (brown prism = 1 x 7 = 7 m²

plugin  values into the formula:

Volume of the entire figure = L (Area 1  + Area 2)

                                            = 10 (12 + 7)

                                            = 120 m³ + 70 m³

                                            = 190 m³

Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

\(\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}\)

\(\dfrac{y-6}{x+5}=\dfrac{-6}{3}\)

\(y-6=-2(x+5)\)

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

\(\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}\)

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

\(\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}\)

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

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Answer:i need more

Step-by-step explanation:

If the property tax versus value of the home is 68,000 the property tax is $2,550.

Using this formula

Property tax=Mills rate× Property value /1000

Where:

Mills rate=37.5

Property value=$68,000

Let plug in the formula

Property tax=37.5×68,000/1000

Property tax=$2,550,000/1000

Property tax=$2,550

Or

Convert the mills rates to dollar rate amounts by dividing the mill rate by 1,000 and then multiply it by the property value.

Property tax=37.5/1000×$68,000

Property tax=$2,550

Inconclusion the property tax is $2,550.

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Answer: 15

Step-by-step explanation:

 4-7+9=8

  +7     +7

  4+9=15

    15=15

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is B.

Function 1: slope is 2

Function 2: (-5 + 4)/(2-1)= -1/1= -1

The price of the book is $ 0.1696

A sales tax is a consumption tax imposed by state or local governments on the sale of goods or services consumers pay when making a purchase. It is the responsibility of a business to collect sales tax and remit payment to the government when the business has some form of connection to the jurisdiction.

"Information available from the question"
Wendy bought a book and the sale tax on the book was $2. 12 if the sale tax is 8%

To determine the price of the book.

Now,

Sale tax is = 8%

The sale tax on the book was $2. 12

=> Sale tax 8% of 2.12

\(\frac{8}{100}\) × 2.12

=> 0.1696

Hence, The price of the book is $ 0.1696

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Answer:

always :)

Step-by-step explanation:

got it right

Using the rate, they both are of the same value.

A rate is a relationship between two different types of units.

Therefore, the rates can be use to find the card with better value.

He can buy a 200 point card for 10 dollars.

Therefore,

rate = 200 / 10

rate = 20 point card per dollars

He can also buy a 300 point card for 15 dollars.

Therefore,

rate = 300 / 15

rate = 20 point card per dollars.

Therefore, they both are of the same value.

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The right response is C. Only X-values inside the original data's range give meaning to the prediction values.

A statistical model that depicts the relationship between two variables is a regression line. It is utilized to forecast the value of a dependent variable depending on the value of an independent variable (independent variable).

The degree to which the regression line matches the data determines how accurate these forecasts are. For values of the independent variable that are similar to the values used to fit the model, the regression line will typically offer the most precise predictions. Prediction values therefore typically only have significance for X-values that fall within or very near the range of the original data set.

The predictions might not be correct if you use the regression line to construct them for independent variable values that are far outside the original data range. This is because, outside of the range of the data that was used to construct the model, the model may not effectively represent the connection between the two variables.

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The probability of drawing a red marble in the bag of marbles is 2/9

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

Red = 4

Green = 7

Blue = 2

Purple = 5

This means that

Marbles = 4 + 7 + 2 + 5

Marbles = 18

Also, we have

Red = 4

Selecting the first marble we have

P(Red) = 4/18

Simplify

P(Red) = 2/9

Hence, the probability is 2/9

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This script will perform 3(b) and 3(c) as described in the question and print the dimension of A, the time required to compute A_inv, and the ratio between the current time and the previous time.

To write a script that performs 3(b) and 3(c), you can follow these steps:

3(b):
1. Define a function, let's call it "repeatABC", that takes a value of n as a parameter.
2. Inside the function, define A as the Hilbert matrix of dimension n using the "hilb" function.
3. Compute the inverse of A using the "inv" function and store it in a variable, let's call it A_inv.
4. Use the "tic" function to start measuring the time.
5. Compute the time required to compute A_inv by calling the "inv" function again and passing A as the argument.
6. Use the "toc" function to stop measuring the time and calculate the elapsed time.
7. Return the elapsed time.

3(c):
1. Write a for loop that iterates over the values of k from 1 to 8.
2. Inside the loop, calculate the value of n by multiplying 50 by 2 raised to the power of k.
3. Call the "repeatABC" function with the current value of n and store the elapsed time in a variable.
4. Calculate the ratio between the current time and the time for k-1 by dividing the current time by the previous time.
5. Print the dimension of A and the current time in a formatted string using the "sprintf" function.

Here's an example of the script in MATLAB code:

```matlab
function elapsed_time = repeatABC(n)
   A = hilb(n);
   
   tic;
   A_inv = inv(A);
   elapsed_time = toc;
end

previous_time = 0;
for k = 1:8
   n = 50 * 2^k;
   current_time = repeatABC(n);
   ratio = current_time / previous_time;
   fprintf('Dimension: %d, Time: %f, Ratio: %f\n', n, current_time, ratio);
   previous_time = current_time;
end
```

This script will perform 3(b) and 3(c) as described in the question and print the dimension of A, the time required to compute A_inv, and the ratio between the current time and the previous time.

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Answer:

m = \(\frac{29}{18}\)

Step-by-step explanation:

=> (-11/6) + m = -2/9

Adding 11/6 to both sides

=> m = \(-\frac{2}{9} + \frac{11}{6}\)

LCM = 18

=> m = \(\frac{-4+33}{18}\)

=> m = \(\frac{29}{18}\)

Answer:

m = 29/18

Step-by-step explanation:

(-11/6) + m = -2/9

Add 11/6 on both sides.

m = -2/9 + 11/6

Make denominators equal and add.

m = -12/54 + 99/54

m = 87/54

m = 29/18

The values of the letters in coordinates (a, b) and (c,d) are;

a = -4

b = -6

c = 2

d = 6

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation solver, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

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The gas used and miles are proportional for each scooter.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:  

y = k x

for some constant k , called the constant of proportionality .

Therefore, let's check whether the scooter A and scooter B shows proportional relationships.

Hence,

For scooter A:

y = kx

where

Therefore,

2 = 150 k

k = 2  /150

k = 1 / 75

Hence,

y = 1 / 75 x

From the table of scooter A, the ratio is constant, therefore, the relationships of gas used and distance covered is proportional for scooter A.

For the Scooter B the graph is also proportional because the ratios of the variables are constant.

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According to the given exponential decay model, the percentage of a certain brand of computer chips expected to be usable after 5 years is approximately 29.4%.

The given exponential decay model is represented by the function P(t) = 100(1 - \(e^(-0.07t)\)), where P(t) represents the percentage of usable computer chips after t years. In this case, we need to calculate P(5) to find the percentage of usable chips after 5 years.

Substituting t = 5 into the function, we get P(5) = 100(1 - \(e^(-0.07 * 5)\)). Simplifying the equation, we have P(5) = 100(1 - \(e^(-0.35)\)). Using a calculator or computational tool, we find that e^(-0.35) ≈ 0.7063.

Plugging this value back into the equation, P(5) = 100(1 - 0.7063) ≈ 100(0.2937) ≈ 29.37%. Rounding to one decimal place, the percentage of usable computer chips after 5 years is approximately 29.4%.

Therefore, approximately 29.4% of the brand's computer chips are expected to be usable after 5 years of use.

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The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Answer:

24.25

Step-by-step explanation:

25 x .97=24.5 ;)

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

Answer:

31.3 m/s

Step-by-step explanation:

v² = v₀² + 2aΔx

v² = 0 + 2(9.8 m/s²)(50 m)

v² = 980 m²/s²

v = √ 980 m²/s² = 31.3 m/s

Notes:  ball starts from rest, so v₀ = 0; ball is in free fall, so a = g = 9.8 m/s²; objects in free fall accelerate at the same rate, g, independent of mass.