A population of unknown shape has a mean of
4,500
and a standard deviation of
300.
a.
Find the minimum proportion of observations in the population
that are in the range
3,900
to
5,100.
b.
D

Answer:

34 1/2

Step-by-step explanation:

The number of terms in the algebraic expressions are:

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

6y + 14 and 3x³ + 7x² + x - 5

Consider an expression given as

ax + b

The number of terms in the expression is 2 and the terms are ax and b

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

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Complete question

Identify the number of terms and then the resend themselves for each algebraic expression

6y + 14 and 3x³ + 7x² + x - 5

Answer:

B

Step-by-step explanation:

There are many ways to solve this, but the easiest is by noting the first and last points on the plot. These represent the minimum and maximum of the data set, respectively. This means the lowest point is 2, and the highest is 13. So, to find the correct set, just find the corresponding points. In this case, the only set that fits is the second one.

Answer:

:D

Step-by-step explanation:

The problem represents a linear equation.

What is linear equation?

A linear equation is a particular type of equation in which the highest power of the variable is always 1(linear). This type of equation is also known as a one-degree equation.

Larry is paid $10 per hour he receives a $1 per hour raise each year.

Let he works for x hours.

In 1 hour he receives $10 so for x hours he will receive $10x

$1 per hour raise.

So there will be a linear equation

The linear equation will be if we take total income as $y then,

y= 10x+1

which is of the linear equation form y=m x+ b where m is the slope.

Hence, the problem represents a linear equation.

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Answer:

Check Explanation

Step-by-step explanation:

The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.

Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.

These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.

Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.

The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.

Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.

In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.

Hope this Helps!!!

Answer:

Step-by-step explanation:

#1

so 1st integer=35 and 1st integer=31

x=4+y

x+y=66

4+2y=66

2y=62

y=31

x=4+31

x=35

#2

1st integer = x 2nd integer = x - 8

(x) + (x - 8) = 50

x + x - 8 = 50

2x - 8 = 50

2x = 58

x= 29

so 1st integer = x = 29

and 2nd integer = x - 8 = 29 - 8 = 21

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Answer:

a= 55.5

b= 45

hope it is helpful for u

The measure of the angle the minute hand traces in 49 minutes on a clock is 4.084 radians A radian is an angle measure defined by the ratio of an arc length to a radius.

A radian is a measure of angle equal to the radius of a circle, and is defined as the amount of angle subtended by an arc that is equal in length to the radius of the circle. The radian measure of an angle is defined as the ratio of the length of the arc s to the radius r of the arc s of a circle:\(θ = s/r\)

Where,θ is the measure of the angle in radians.s is the arc length. r is the radius of the circle.

One revolution of the clock is equal to 2π radians.

The minute hand of the clock makes one full revolution in 60 minutes. Therefore, in 49 minutes, the minute hand of the clock moves through an angle equal to:

θ = 49/60 × 2π

= 4.084 radians

Thus, the measure of the angle the minute hand traces in 49 minutes is 4.084 radians.

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Answer:

shade all of the squares with two capital Ns (NN) red. Shade all the squares with one capital N and one Lowercase n with green. Leave the rest (nn) unshaded.

Step-by-step explanation:

Answer:

x = 4/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4x + 3(2x - 4) = x

Step 2: Solve for x

Answer:

x = 1.33

Step-by-step explanation:

4x + 3(2x-4) = x

-4x                 -4x

3(2x-4) = -3x

Distribute 3 to (2x-4)

6x - 12 = -3x

-6x           -6x

-12 = -9x

/-9     /-9

1.33 = x

Answer:

11

Step-by-step explanation:

The median in a given number set is the middle term within the set.  In this case, there are 9 terms in the set, making the 5th term the median:

7 , 8 , 9 , 9 , 11 , 11 , 12 , 15 , 19

11 would therefore be your answer.

~

Note that if the given number set has a even amount of numbers, then you will find the mean between the two middle numbers. For example, if 20 was added to the given number set, making it 10 terms a set:

7 , 8 , 9 , 9 , 11 , 11 , 12 , 15 , 19 , 20

Then you will add the two middle numbers (11 & 11), and divide by 2:

\(\frac{(11 + 11)}{2} = \frac{22}{2} = 11\)

~

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The bond yields an effective annual interest rate of 3.5875% and has a modified convexity equal to 17.47% when the annual interest rate is 3.5038%.

To calculate the effective annual interest rate, we need to use the following formula:

Effective Annual Interest Rate = (1 + Yield to Maturity / Number of Coupon Payments per Year) ^ Number of Coupon Payments per Year - 1

Let's assume that the bond pays coupons semi-annually, so there are a total of 8 coupon payments over the life of the bond. The yield to maturity can be calculated using a financial calculator or spreadsheet software, but for this example, let's assume it is 3.5%.

Using the formula above, we get:

Effective Annual Interest Rate = (1 + 0.035 / 2) ^ 2 - 1

Effective Annual Interest Rate = 0.035875 or 3.5875%

Now, let's use the modified convexity formula to solve for i:

Modified Convexity = [(1 + i)^(-2) * (1 + i / 2) * ((1 + i / 2)^4 + (1 + i / 2)^3 + (1 + i / 2)^2 + (1 + i / 2))] / (1 + i / 2)^4 * 10000

Plugging in the given values, we get:

17.47 = [(1 + i)^(-2) * (1 + i / 2) * ((1 + i / 2)^4 + (1 + i / 2)^3 + (1 + i / 2)^2 + (1 + i / 2))] / (1 + i / 2)^4 * 10000

Simplifying this equation and solving for i, we get:

i = 0.035038 or 3.5038%

Therefore, the bond yields an effective annual interest rate of 3.5875% and has a modified convexity equal to 17.47% when the annual interest rate is 3.5038%.

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Answer:

The sentence "Eight more than the quotient of a number and 4 equals 5" can be translated into the following equation:

(b / 4) + 8 = 5

Where b is the unknown number, and 4 is the divisor.

Answer:

b = - 12

Step-by-step explanation:

let the number be b

the quotient ( division ) of b and 4 is \(\frac{b}{4}\) , then

\(\frac{b}{4}\) + 8 = 5 ← equation

to solve for b

subtract 8 from both sides

\(\frac{b}{4}\) = - 3 ( multiply both sides by 4 to clear the fraction )

b = - 12 ← value of b

Answer:

hypotenuse = 6.3

Step-by-step explanation:

here 6 and 2 are the legs of the triangle . we are asked to find hypotenuse (longest side)

using pythagoras theorem

a^2 + b^2 = c^2

6^2 + 2^2 = c^2

36 + 4 = c^2

40 = c^2

\(\sqrt{40}\) = c

6.32 = c

6.3 = c

Answer:

angle 1: 120

Step-by-step explanation:

angle 1:

5x-5

5(25)-5 =120

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

The solution of the differential equation is is \(\[\large y=\frac{1}{t^2} \left(-\frac{t^3}{4} \cos 2t + \frac{3t^2}{4} \sin 2t + \frac{3t}{8} \cos 2t - \frac{3}{16} \sin 2t + C_1 t^2 \right)\]\).

The given differential equation is :\(t y^{\prime}-2 y=t^{5} \sin (2 t)-t^{3}+4 t^{4} \]\)

To solve this differential equation using integrating factor, we have

Multiplying the both sides of the equation by the integrating factor of \(\[\large e^{\int -\frac{2}{t}dt}\] \[ e^{-2 \ln t}t y^{\prime}-2e^{-2 \ln t} y= e^{-2 \ln t}t^{5} \sin (2 t)-e^{-2 \ln t}t^{3}+4 e^{-2 \ln t}t^{4} \]\)

Simplifying this, we get,\(\[ \frac{d}{d t}\left(e^{-2 \ln t}y \right)=t^3 \sin 2t\]\)

Integrating both sides with respect to t, we get,

\(\[\begin{aligned}\int \frac{d}{d t}\left(e^{-2 \ln t}y \right) dt &=\int t^3 \sin 2t dt \\ e^{-2 \ln t}y &= \int t^3 \sin 2t dt \\ e^{-2 \ln t}y &= \frac{t^3}{2} (-\frac{1}{2}) \cos 2t + \frac{3t^2}{4} \sin 2t + \frac{3t}{8} \cos 2t - \frac{3}{16} \sin 2t + C_1\end{aligned}\]\)

Here, \(\[C_1\]\)is the arbitrary constant. Now, solving for y, we get,

\(\[\begin{aligned}e^{2 \ln t} y &= \frac{t^3}{2} (-\frac{1}{2}) \cos 2t + \frac{3t^2}{4} \sin 2t + \frac{3t}{8} \cos 2t - \frac{3}{16} \sin 2t + C_1 \\ y&=\frac{1}{t^2} \left(-\frac{t^3}{4} \cos 2t + \frac{3t^2}{4} \sin 2t + \frac{3t}{8} \cos 2t - \frac{3}{16} \sin 2t + C_1 t^2 \right)\end{aligned}\]\)

Hence, the solution of the given differential equation is \(\[\large y=\frac{1}{t^2} \left(-\frac{t^3}{4} \cos 2t + \frac{3t^2}{4} \sin 2t + \frac{3t}{8} \cos 2t - \frac{3}{16} \sin 2t + C_1 t^2 \right)\]\).

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Based on the values of x and y for the company and its school desks, the equation that best models the situation is D. y = 34x² - 334x + 1,075.

The best equation would be the one that gives the closest value of y to the value of the actual value of y on the table.

The first two equations can be ruled out because the table shows that this is not a linear model as there is no constant rate of change.

Test the other two equations:

x=1:

y = -34(1)² + 334(1) + 1,075

= 1,075

This is too high.

Other equation:

y = 34(1)² - 334(1) + 1,075

= 775

This is close to 800 so this is the best equation.

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Answer:

9.8 carats.

Step-by-step explanation:

5.1 + 0.7 + 1.4 + 2.6

= 9.8

Answer:

The answer is B.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4

Answer: 6 inches

Step 1: Subtract 12 because 12 iches is the base.

24 - 12 = 2

Step 2: Divide 12 by 2 because triangles have two equal sides.

12 ÷ 2 = 6

Answer = 6

Answer:

D

bc to figure out if it is a graph or not, you would see if a horizontal line could pass through the line only once and since the line is horizontal, that is not the case.

To measure the discrepancies using simulations from the posterior predictive distributions for each of the Poisson models in Exercise 2.13, follow these steps briefly explained below;

A more detailed explanation of the answer.

Step 1: Obtain the data and the four different Poisson models.
Get the counts of airline fatalities for each year from 1976-1985 and the four Poisson models that were fitted to the data in Exercise 2.13.

Step 2: Generate posterior predictive distributions.
For each of the four Poisson models, generate samples from the posterior predictive distribution. This is done by:
a) Sampling the model parameters from their posterior distributions.
b) Using the sampled parameters to generate data from the Poisson distribution for each year in the dataset.

Step 3: Calculate the discrepancies.
For each simulated dataset, calculate a discrepancy measure that compares the simulated data to the actual airline fatality data. A common discrepancy measure is the mean squared error (MSE), which is calculated as the mean of the squared differences between the observed and simulated data points.

Step 4: Display the results.
Create a table or graph to display the discrepancy measures for each of the four Poisson models. This will allow you to compare the models and determine which one best fits the data.

Remember that a lower discrepancy measure indicates a better fit to the data, so choose the model with the lowest discrepancy measure as the best-fitting model.

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After you depart jblm you will be the closest to mt. rainier after 4 minutes 35.5 seconds

The distance from JBLM to Mt. Rainier is found using the Pythagorean theorem:

 d = √((56 km)² +(40 km)²) = 8√74 km

The bearing from JBLM to Mt. Rainier is ...

 arctan(40/56) ≈ 35.538°  . . . . .  south of east

The heading of the airplane to its destination is ...

 arctan(289/218) ≈ 8.393°  . . . . .  south of east

Then the difference between these angles is ...

8.393° - 35.538° ≈ -27.145°

and the distance to the point of closest approach is ...

 8√74×cos(-27.145°) ≈ 61.238 . . . . km

The relation between time, speed, and distance is ...

 time = distance / speed

Then the time from JBLM to the point of closest approach is ...

 time = (61.238 km)/(800 km/h) ≈ 0.07654819 h ≈ 4.5928 minutes

≈ 4 minutes 35.5 seconds

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37.5

temperature during day = 29.8

temperature during night = -7.5

difference = 29.8-(-7.5)

=29.8+7.5

=37.5

Answer:

-7°C

Step-by-step explanation:

Adding a small positive to a large negative most like leads to a negative so result so if you were to add 5 to -12 you'd get -7, and that's how I got my answer

Answer:

C) -7

Step-by-step explanation:

12 - 5 = 7 so = -12°C + 5°C = -7°C

Hope this helps!

Byeeee, have a nice day!

Answer:

2.1

Step-by-step explanation:

Just do 3/1 times 7/10 then you get 21/10 which means divide then you finally get 2.1

2.1

Step-by-step explanation:

multiply 3 by 0.7

or 3 times 7 is 21

just move a decimal to the tenths place