How many numbers are in the list 433, 429, 425, ... -103, -107?

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:

A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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First graph

The vertex: (1, -10)

Domain: all real numbers

Range: all real numbers greater than -10

zeroes: 2

Axis of symmetry: x = 1

Y- intercept: (0, -10)

second graph

The vertex: (-1, 0)

Domain: all real numbers

Range: all real numbers less than 0

zeroes: 1

Axis of symmetry: x = -1

Y- intercept: (0, -3)

The vertex is the summit of the curve at this point the curve bends and values either start to increase or decrease

The points are trace using the graph. the x values of the vertex gives the axis of symmetry

The axis of symmetry is the line that shares the curve into two equal parts

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Answer:

3 fet

Step-by-step explanation:

Answer:

66 (lmk if i'm wrong)

Step-by-step explanation:

9x6 + (16-4)

54 +12

66

Answer:

4/5 < 2/6

Step-by-step explanation:

Hope it helps! =D

Answer:

The equation of the line is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

From the given equation, we can see that the y-intercept is 19. This means that the line passes through the point (0, 19).

Therefore, the coordinates of the y-intercept are (0, 19).

The y-intercept of the equation y=6x+19 is the value of y when x equals 0, which is at the point (0,19).

Therefore, in the equation y=6x+19, the y-intercept is at the point (0, 19). Hence, the coordinates of the y-intercept are (0,19).

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The people that would not be sampled would be:

We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.

The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.

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Answer:

4 bubblegum, 2 bubblegum 1 soda, 2 soda, one chip on soda.

Step-by-step explanation:

41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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Answer:

y=4/5x+2 4/5

Step-by-step explanation:

i just took the test

Answer:

The square of 111,111,111 is 12,345,678,987,654,321. What's amazing about it is that if you read the digits from left to right, then it's a palindrome. If you read the digits from right to left, it's also a palindrome. This property makes it a doubly-palindromic number, which is quite rare and interesting.

Answer:

<SPQ = 110°

Step-by-step explanation:

<QRS = 110°

<SPQ = <QRS ( BEING OPPOSITE ANGLES OF PARALLELOGRAM)

<SPQ = 110°

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The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

There is no significant evidence to support that waiting time is less than the mean reported.

Step-by-step explanation:

Given that :

Sample mean, x = 10.7

Standard deviation, s = 3.1

Sample, size , n = 19

H0: μ ≥ 11.5

H1: μ < 11.5

Using the t-test (sample size is small)

Test statistic :

(x - μ) / s/sqrt(n)

(10.7 - 11.5) / (3.1 / sqrt(19))

-0.8 / 0.7111887

= −1.124877

Tcritical = Tdf, 0.05

df = n - 1 ; T18,0.05/2 = - 2.101 (left tailed)

Decision region:

Reject H0 :

If Tstatistic < Tcritical

−1.124877 > - 2.101

Hence, We fail to reject H0

There is no significant evidence to support that waiting time is less than the mean reported.

The equivalent logarithmic value of the given expression log 3  + log 6 is equal to logarithm of 18.

The expression is equal to,

log 3  + log 6

By using the law of multiplication we have,

Log A + Log B = Log ( A × B )

Using the properties of logarithms, we can simplify the expression and get the equivalent logarithm number ,

Substitute the value of A = 3 and value of B = 6 in the formula we have,

log 3 + log 6

= log (3 × 6)

= log 18

Therefore, the expression log 3 + log 6 is equivalent to the logarithm of 18.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

The time the researcher spends reading each page of the article is 2.5 minutes.

Average is the mean of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.

Average is the study of the central tendency of the data.

A researcher reads a 12-page article in 30 minutes.

The time taken by the researcher is 30 minutes.

The number of pages of the article the researcher reads is 12.

Average is also the mean rate at which some work is done.

The rate at which the researcher reads each page is given by x.

The equation to find the average is,

= Time in which total pages are read / No. of pages

Substituting the values

= 30 / 12

= 2.5 minutes

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Answer:

\(y=-\frac{3}{4}x+2\)

Step-by-step explanation:

Use point-slope form

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{3}{4}(x-4)\\y+1=-\frac{3}{4}x+3\\y=-\frac{3}{4}x+2\)

Answer:

y = -3/4x + 2

In the graph, you can see that the line cross the y axis at (0,2) .  We say that the y-intercept is 2.  Then from the point of (0,2), if you go down 3 and 4 to the right, you land on the point (4,-1).  That is the slope (-3/4) or the steepness of the line.

Step-by-step explanation:

First, find the equation of the line .  I am going to find the slope-intercept form

y = mx + b  

m is the slope and b is the y-intercept.  The x is the input number and the y is the output number.

from the point, use 4 as x

from the point use -1 as y

use the slope -3/4 for m

y = mx + b  Substitute in the numbers that I know.

-1 = (-3/4)(4) + b  Solve for b

-1 = -3 + b   Add 3 to both sides

2 = b

y = -3/4 x + 2

Helping in the name of Jesus.

The matrix representation of the problem can be written as: ε = [ε1 ε2 ε3]'

The matrix representation of the linear regression problem can be expressed as Y = Xβ + ε, where Y is the n x 1 vector of the dependent variable (Yi),

X is the n x k matrix of the independent variables (xi),

β is the k x 1 vector of coefficients, and

ε is the n x 1 vector of errors.

In this case, n = 3 (number of observations), k = 2 (number of independent variables) and the matrix representation of the problem can be written as:

Y = Xβ + ε

Y = [0.3 0.8 -0.3]

X = [1 1 1; 1 2 0.1]

β = [β0 β1]'

ε = [ε1 ε2 ε3]'

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Convert 3 1/2 to a improper fraction:

3 1/2 = 7/2

Divide 7/2 by 1/4:

7/2 ÷ 1/4

7/2 × 4/1

28 / 2

= 14

Joaquin has finished 14 assignments

Answer:

14

Step-by-step explanation:

Answer:

34.12-9.8=24.32

Step-by-step explanation:

Answer: -1/5

Step-by-step explanation:

14/20 - 81/90=

7/10-9/10=       ==> 10 is the GCF of 20 and 90

(7-9)/10=

-2/10=-1/5

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}\)

\(\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}\)

\(\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}\)

\(\mathsf{= \dfrac{7 - 9}{10 - 0}}\)

\(\mathsf{= \dfrac{-2}{10}}\)

\(\mathsf{= \dfrac{-2\div 2}{10\div2}}\)

\(\mathsf{= \dfrac{-1}{5}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

x = 11

Step-by-step explanation:

I hope this helps!