. What is the change of temperature if it was -20 degrees and rose to 14 degrees?​

Using the Fundamental Counting Theorem, the number of possible telephone numbers is given by:

a) 900,000.

b) 78,125.

c) 10,000.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For item a, a multiple of 100 means that the last two digits are 00, hence the parameters are:

\(n_1 = 9, n_2 = n_3 = n_4 = n_5 = 10, n_6 = n_7 = 1\)

Hence the number is:

N = 9 x 10^5 = 900,000.

For item b, odd digits are 1, 3, 5, 7 and 9, hence the parameters are:

\(n_1 = n_2 = n_3 = n_4 = n_5 = n_6 = n_7 = 5\)

Hence the number is:

N = 5^7 = 78,125.

For item c, if the first 3 digits are 277, the parameters are:

\(n_1 = n_2 = n_3 = 1, n_4 = n_5 = n_6 = n_7 = 10\)

Hence the number is:

N = 10^4 = 10,000.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

#SPJ1

Answer:

(A) There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B) Saturday has the highest percentage of traffic accidents.

Step-by-step explanation:

(A)

The Chi-square goodness of fit test would be used to determine if the proportion of traffic accidents is the same for each day of the week.

The hypothesis for the test can be defined as follows:

H₀: The proportion of traffic accidents is the same for each day of the week.

Hₐ: The proportion of traffic accidents is not same for each day of the week.

Assume that the significance level of the test is, α = 0.05.

The Chi-square test statistic is given by:

\(\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}\)

Compute the values in Excel.

The expected frequency for all the days is 60.

The Chi-square test statistic value is, 14.333.

Compute the p-value using the Excel function "=CHISQ.DIST.RT(14.33,6)".

p-value = 0.0262

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value is less than 0.05.

The null hypothesis will be rejected.

Conclusion:

There is enough evidence to suggest that the proportion of traffic accidents is not same for each day of the week.

(B)

Compute the percentage of traffic accidents occurring on each day of the week as follows:

\(\text{Sunday}=\frac{66}{420}\times 100\approx 16\%\\\\\text{Monday}=\frac{50}{420}\times 100\approx 12\%\\\\\text{Tuesday}=\frac{53}{420}\times 100\approx 13\%\\\\\text{Wednesday}=\frac{47}{420}\times 100\approx 11\%\\\\\text{Thursday}=\frac{55}{420}\times 100\approx 13\%\\\\\text{Friday}=\frac{69}{420}\times 100\approx 16\%\\\\\text{Saturday}=\frac{80}{420}\times 100\approx 19\%\)

Saturday has the highest percentage of traffic accidents.

Answer:

The value of E [Z]  is 0.50.

Step-by-step explanation:

The expected value is computed using the formula:

\(E(X)=\sum x\cdot P(X= x)\)

Denote the three dices as follows:

X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

\(I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.\)

The probability of rolling a 4 in the three dices are as follows:

\(P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}\)

Compute the value of E [Z] as follows:

\(E(Z)=E(I_{1})+E(I_{2})+E(I_{3})\)

         \(=(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50\)

Thus, the value of E [Z]  is 0.50.

Answer: y=-1/8x-2

Step-by-step explanation:

Given the slope, we can start to fill out the slot-intercept form equation.

y=-1/8x+b

We don't know the value of b, but we can plug in the given point to solve for b.

-3=-1/8(8)+b

-3=-1+b

b=-2

Now that we know b, we can finish our slope-intercept equation.

y=-1/8x-2

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

For  more such questions on gross earning.

https://brainly.com/question/29206567

#SPJ8

Answer:

224

Step-by-step explanation:

360.-136.

Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

Learn more about Probability,

https://brainly.com/question/29492440

#SPJ1

Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

The position of the particle at time t = 1 would be -1.

To find the position of the particle at time t = 1, we need to integrate the velocity function v(t) from t = 0 to t = 1, and add it to the initial position x = -2:

x(1) = -2 + ∫[0,1] v(t) dt

Integrating v(t), we get:

x(1) = -2 + ∫[0,1] (6t² + 8t - 5) dt

x(1) = -2 + [2t³ + 4t² - 5t] from 0 to 1

x(1) = -2 + [2(1)³ + 4(1)² - 5(1)] - [2(0)³ + 4(0)² - 5(0)]

x(1) = -2 + [2 + 4 - 5]

x(1) = -2 + 1

x(1) = -1

Therefore, the position of the particle at time t = 1 is -1.

More on particle position can be found here: https://brainly.com/question/29187130

#SPJ1

2x² - 6x = -7 equation has  imaginary solutions

To determine if an equation has imaginary solutions, we can examine the discriminant of the quadratic equation

x² + 3x - 5 = 0

a = 1, b = 3, c = -5

Discriminant = (3)² - 4(1)(-5) = 9 + 20 = 29

The equation has two real solutions

x⁴ - 5x ^ 2 + 3 = 0

This equation is a quartic equation, not a quadratic equation. Quartic equations can have both real and imaginary solutions

2x² - 6x = -7

2x^2 - 6x + 7 = 0

a = 2, b = -6, c = 7

Discriminant = (-6)²- 4(2)(7) = 36 - 56 = -20

Since the discriminant (-20) is negative, the equation has two complex (imaginary) solutions.

-3x² = -5

Dividing both sides by -3, we get:

x²= 5

a = 1, b = 0, c = -5

Discriminant = 0² - 4(1)(-5) = 20

The equation has two real solutions.

Hence, 2x² - 6x = -7 equation has imaginary solutions

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

60 but im to surw

Step-by-step explanation:

All i remember is that you have to do A=lwh so it would have to be 4x2x7.5=60

An inequality that matches this graph include the following: B} x ≥ -5.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Since the closed circle is at point -5 and increases to the right, an inequality that matches this graph is x ≥ -5.

Read more on number line here: brainly.com/question/22515080

#SPJ1

Answer:

y = -\(\frac{2}{8}\) + 5

Step-by-step explanation:

You have all that you need

(y = mx+b, m= rise/run which is the change in y/change in x, b = y-intercept.)

so now we just need to put it to use!

      Let's take y = mx + b and break it into two parts. We need the b and the m. The b is easier, because we can conclude by looking at the graph it is equal too 5. Here is our equation so far:

y = mx + 5

Now we need to solve for m:

\(\frac{rise}{run} = \frac{2}{8}\)

The line is going dowards, so the slope (m) is negative.

Here is our final answer:

y = -\(\frac{2}{8}\) + 5

Answer:

158.76 square centimeters

Step-by-step explanation:

The quadrilateral is made up of 2 right triangles if you divide the quadrilateral using line segment BD.

The triangle on the bottom has an area of 11.7*15.6/2, which is 91.26.

The triangle on the top has an area of 7.5*18/2, which is 67.5.

If you add up the area of these 2 triangles, you get 67.5 + 91.26 = 158.76

Therefore, the answer is 158.76 square centimeters.

I hope this helped you.

Answer:

It would be 158.76 square centimeters

Step-by-step explanation:

The standard deviation of the sample, using the sample standard deviation (ox), is approximately 1.98.

Based on the provided calculator output, we have the following information for a sample:

x = 6.25 (mean)

Ex = 50 (sum of all data points)

Ex² = 344 (sum of the squares of all data points)

Sx = 2.121320344 (standard deviation)

ox = 1.984313483 (sample standard deviation)

n = 8 (sample size)

To calculate the mean, we divide the sum of all data points (Ex) by the sample size (n):

Mean = Ex / n = 50 / 8 = 6.25

Therefore, the mean of the sample is 6.25.

To calculate the standard deviation, we have two options: Sx or ox. Both represent measures of dispersion.

Sx is the population standard deviation, while ox is the sample standard deviation.

If we use the sample standard deviation (ox), then the standard deviation is:

Standard Deviation = ox = 1.984313483 (rounded to the nearest hundredth)

Therefore, the standard deviation of the sample, using the sample standard deviation (ox), is approximately 1.98.

It's important to note that the values provided are rounded to the nearest hundredth as specified in the instructions.

For similar question on standard deviation.

https://brainly.com/question/12402189  

#SPJ8

Answer:

\(\huge\boxed{x+y=-2}\)

Step-by-step explanation:

The standard form of an equation of a line:

\(Ax+By=C\)

The point-slope form of an equation of a line:

\(y-y_1=m(x-x_1)\)

where

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

We have two points (-2, 0) and (1, -3).

Substitute:

\(x_1=-2;\ y_1=0;\ x_2=1;\ y_2=-3\)

\(m=\dfrac{-3-0}{1-(-2)}=\dfrac{-3}{1+2}=\dfrac{-3}{3}=-1\\\\y-0=-1(x-(-2))\\\\y=-(x+2)\)

\(y=-x-2\)         add x to both sides

\(x+y=-2\)

Answer:

you will get back 167$

Step-by-step explanation:

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

The NBA draft is an important event for teams to improve their roster and build for the future.

The NBA draft is an annual event where the teams in the National Basketball Association (NBA) select new players to join their team.

The order in which the teams select players is determined by a lottery, with the worst-performing teams from the previous season having a higher chance of getting a higher draft pick.

The draft consists of two rounds, with each team having one pick per round.

Teams can also trade their draft picks with other teams before or during the draft. The selected players are then signed to a contract and can begin playing for their new team in the upcoming NBA season.

Read more about NBA at

https://brainly.com/question/29514790

#SPJ1

Answer:

Step-by-step explanation:

Answer:

2 plants in sf goes to unit rate.

6 plants in 1 sy goes to rate.

8 seeds per sf goes unit rate and the rest goes to rate.

Step-by-step explanation:

Answer:

rate

a square yard for every 100 grass seeds

25 trees per 25 square yards

4 acres for 800 plants

unit rate

2 plants in a square foot

8 seeds per square foot

6 plants in 1 square foot

Step-by-step explanation: trust me I did the test! it's right!

Answer:

A

Step-by-step explanation:

because box is filled with four out of six and the second is filled with three out of six. So, you subtract the second one from the first one. I HOPE IT HELPS

Answer:

x=98

Step-by-step explanation:

Lets reduce then multiply

\(7 \times \frac{x}{7} = 7 \times 14 \\ \\ x = 7 \times 14 \\ x = 98\)

corresponding angles are equal

The angles are corresponding same side interior angles so they must be equal

\(\\ \tt{:}\longrightarrow 2x+5=135\)

\(\\ \tt{:}\longrightarrow 2x=130\)

\(\\ \tt{:}\longrightarrow x=65\)