How do you write 1,680 in a scientific notation

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

The sum of the interior angles of a 17-sided polygon is 2700 °.

Given:

sum of the interior angles of a 17-sided polygon.

we know that:

sum of interior angles = n-2 * 180

n = 17

= (17-2)*180

= 15*180

= 2700 °

Therefore the sum of the interior angles of a 17-sided polygon is 2700 °.

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The width of Julie's garden is 8 feet and the area of her garden is 160 square feet.

Explanation:

We know that the garden is rectangular, so it has two equal lengths and two equal widths. We also know that Julie placed 56 feet of fencing around her garden, so the perimeter of the garden is:

P = 2L + 2W = 56

We are given that the length is 20 feet, so we can substitute that in and solve for W:

2(20) + 2W = 56

40 + 2W = 56

2W = 16

W = 8

So the width of the garden is 8 feet.

To find the area of the garden, we can use the formula:

A = L x W

Substituting the known values, we get:

A = 20 x 8

A = 160

Therefore, the area of Julie's garden is 160 square feet.

Answer:

Tara has 100 combinations to choose from

Step-by-step explanation:

each car has four colours

there are five cars so

5 × 4 = 20

there are 5 seats colors for each car so

20 × 5 = 100

Hope you understand it , I'm bad at English because I'm asian

Answer:

60% Hope this helped! :)

Step-by-step explanation:

Line segments are bounded by two endpoints

The line segment YZ is a median

From the complete question, the point Z is on line segment WX, where:

Segments WZ and XZ have equal measurements

This means that, segment YZ divides segment WX into equal segments

When a segment is divided into equal segment by a line, then the line is a median

Hence, segment YZ is a median

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Answer:

78/5

Step-by-step explanation:

(15 x 5 + 3)/5

78/5

Using the conversion of expanded form, 7 comes tens place, 8 comes in ones place, 6 comes hundredth place after decimal and 3 comes thousandth place after decimal.

In the given question,

We have to check what number is represented by the expanded form.

The given expanded form is

70+8+6/100+3/1000

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in. the quantity.

We have to check in which place what number comes.

Firstly we see the number 70. In the number we can see that 7 is in tens place. So in the chart in place of tens 7 come.

Now we can see that 8 is in ones place. So 8 comes in ones place in chart.

Now we check next number 6/100. As we can see that 6 is divide by 100 so it represent decimal value. Since it is divided by 100 so 6 comes in hundredth place after decimal.

Now we check number 3/1000. As we can see that 3 is divide by 1000 so it represent decimal value. Since it is divided by 1000 so 3 comes in thousandth place after decimal.

The completed chart is below.

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Answer:

No solution

Step-by-step explanation:

x = 2 + x - 2

x - x = 2 - 2

0 = 0

=》x has no solution.

________

Hope it helps ⚜

On solving the provide question, we can say that by quadratic equation  number of corn plants in the row are 52 - 4 = 21

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

number of rows be x.

the number of corn plants = x - 4

So,

\(x(x - 4) = 525\\x^2 - 4x - 525 = 0\\x = 25, x = -21\\\)

number of corn plants in the row are 52 - 4 = 21

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The true statements about the logarithm are the ones in the third and fourth options.

Remember that a logarithm with a base can be written as a quotient between the natural logarithm of the argument and the natural logarithm of the base:

logₐ(b) = ln(b)/ln(a)

Then the given expression:

log₇(59) can be rewritten into:

ln(59)/ln(7)

So the last option is true.

And also, notice that log₇(59) = x means that 7^x = 59

Then if:

7^2 = 49

7^3 = 343

x must be between 2 and 3, so the third statement is also true.

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The point of intersection of the lines is x = 2

The point of intersection of two lines is where the two lines meet

Given: y = 2x - 3 and y = -x + 3

We will combine the two equations by equating them:

2x - 3 = -x + 3

2x + x = 3 + 3

3x = 6

x = 6/3 = 2

Therefore, the two lines have an intersection at point x = 2

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Answer:

-27

Step-by-step explanation:

The number of hours worked by each person is given as follows:

The variables for the system of equations are given as follows:

Daniel worked 6 more hours than Justin, hence:

y = x + 6.

They ironed 360 shirts between them, hence, considering the rates, we have that:

40x + 20y = 360.

From the graph given at the end of the answer, the intersection point of the two equations is given as follows:

(4, 10).

Hence the number of hours worked by each person is given as follows:

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Answer:

-19.8

Step-by-step explanation:

In Fairbanks     ,         at noon    -18

it decreased with 1.2 per hour for the next 7 hours .

so in total  it decreased by  1.2 x 7 =  8.4

so at 7 pm it was   -18-8.4   =    -26.4

In Grand Forks at  7 pm          3/4 of  -26.4   =   -19.8    

The AREA of the parcel of land area is 14382 sq yd nearest square yard

We can see that the parcel of land is an isosceles triangle with two 45-degree angles. Therefore, the triangle is a 45-45-90 triangle, and the length of each leg is equal to x (say).

We know that the longest side (hypotenuse) is approximately 240.42 yards. Using the relationship in a 45-45-90 triangle, we can write:

longest side = x√2

240.42 = x√2

x = 240.42/√2

x ≈ 169.71

Therefore, the length of each leg is approximately 169.71 yards.

To find the area of the triangle, we can use the formula for the area of a triangle:

area = 1/2 * base * height

In a 45-45-90 triangle, the base and height are equal (since the triangle is isosceles), so we can use either leg as the base and height.

Using x = 169.71 as the base and height, we get:

area = 1/2 * 169.71 * 169.71

area ≈ 14382.42

Rounding to the nearest square yard, we get: area ≈ 14382 sq yd.

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Triangle ABD is scalene and obtuse.

The triangle has three sides of unequal length, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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Answer:

The number is 4.

The step describe to solve the problem is: add five and then multiply by

Step-by-step explanation:

Let the number be x.

As per the given condition as:

The difference of twice a number and five is three.

"Twice a number" means

"difference of twice a number and five" means

therefore, the translation of the given word problem to an equation is:

Now, solve the equation :

Addition Property of equality states that you add the same number to both sides of an equation.

Add 5 to both sides of an equation we get;

2x-5+5=3+5

Simplify:

2x = 8

Multiplication property of equality states that you multiply the same number to both sides of an equation.

Multiply by  both sides we get;

Simplify:

x = 4

The steps which describe to solve the problem is: add five and then multiply by

Therefore, the number x = 4

4 the answer is four as 4×2=8 and 8-5=3

Answer:

Hi there!

Your answer is:

Smallest number: 24

Median number: 25

Largest number: 26

Step-by-step explanation:

three consecutive numbers:

n, n+1, n+2

5(n+2)= (n+1+n)3 -17

5n+10= (2n+1)3-17

5n+10= 6n+3 -17

5n+10= 6n-14

-6n

-n+10= -14

-10

-n= -24

/-1

n= 24

This is your number. Now, plug this back into your previous equations

24, 24+1, 24+2

Simplify

Smallest number: 24

Median number: 25

Largest number: 26

Hope this helps

a. The key features of the exponential function y = 1000(2)^(0.3x) is given as follows:

b. The relevant domain and range are given as follows:

The exponential function for this problem is modeled as follows:

y = 1000(2)^(0.3x).

The features are given as follows:

The domain of the function is the set that composes all input values of the function, and as the exponential function does not have any restrictions such as a fraction or an even root, it is composed by all real values.

However, the relevant domain is x ≥ 0, as the number of days does not assume negative values.

The range is the set containing all output values of the exponential function. As the initial value of the exponential function is of 1000 and the function is increasing, the range is y ≥ 1000.

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X and Y are not independent

In order to answer this question, we need to refer back to Exercise 5.1.1, which defines the joint distribution of two random variables X and Y as:

P(X = 1, Y = 1) = 0.1
P(X = 1, Y = 2) = 0.2
P(X = 1.5, Y = 1) = 0.3
P(X = 1.5, Y = 2) = 0.4

a. To determine the conditional probability distribution of Y given that X = 1.5, we need to use the formula:

P(Y = y | X = 1.5) = P(X = 1.5, Y = y) / P(X = 1.5)

Using the joint distribution from Exercise 5.1.1, we can calculate the probabilities as follows:

P(Y = 1 | X = 1.5) = 0.3 / (0.3 + 0.4) = 0.4286
P(Y = 2 | X = 1.5) = 0.4 / (0.3 + 0.4) = 0.5714

Therefore, the conditional probability distribution of Y given that X = 1.5 is:

P(Y = 1 | X = 1.5) = 0.4286
P(Y = 2 | X = 1.5) = 0.5714

b. To determine the conditional probability distribution of X given that Y = 2, we use the same formula as above:

P(X = x | Y = 2) = P(X = x, Y = 2) / P(Y = 2)

Using the joint distribution from Exercise 5.1.1, we can calculate the probabilities as follows:

P(X = 1 | Y = 2) = 0.2 / (0.2 + 0.4) = 0.3333
P(X = 1.5 | Y = 2) = 0.4 / (0.2 + 0.4) = 0.6667

Therefore, the conditional probability distribution of X given that Y = 2 is:

P(X = 1 | Y = 2) = 0.3333
P(X = 1.5 | Y = 2) = 0.6667

c. To calculate E(Y | X = 1.5), we use the formula:

E(Y | X = 1.5) = ∑ y * P(Y = y | X = 1.5)

Using the conditional probability distribution of Y given that X = 1.5 from part a, we can calculate the expected value as follows:

E(Y | X = 1.5) = 1 * 0.4286 + 2 * 0.5714 = 1.714

Therefore, E(Y | X = 1.5) = 1.714.

d. To determine whether X and Y are independent, we need to check whether the joint distribution factors into the product of the marginal distributions:

P(X = x, Y = y) = P(X = x) * P(Y = y)

Using the joint distribution from Exercise 5.1.1, we can see that this condition does not hold, since for example:

P(X = 1.5, Y = 1) = 0.3
P(X = 1.5) * P(Y = 1) = 0.5 * 0.4 = 0.2

Therefore, X and Y are not independent.

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Calculated values are-

μ(z) = -0.26 dollars

variance (z) = 24.93

σ(z) = 4.99 dollars.

Variability is measured by the variance. It is determined by averaging the squared deviations from the mean. The degree of dispersion in your data collection is indicated by variance. The greater the spread of the data, the greater the variance in proportion to the mean.

The variance is a statistical concept that is used to quantify the degree of uncertainty and dispersion in the values of a given data collection.

Low variability is desirable because it simplifies the process to make population-level estimations by only using a limited sample of the information. As a result of the numbers' high unpredictability, forecasts are more difficult to make. When the variance is considerable, the data points are far off from both the mean and one another.

Here, z denotes the players gain $5 wager on red.

Now, total slots = ( 18 + 18 + 2 ) = 38

red slots = 18

black slots = 18

green slots = 2

P (marble lands on red slots) = 18/38

Also, P (marble lands in slots other than red) = P (marble lands in black or green slots) = P (marble lands in black slots) + P (marble lands in green slots)

= 18/38 + 2/38

= 20/38

Now, the probability of distribution of z is given by-

                lose            win

z (in $)       -5                5

p (z)           20/38        18/38

Therefore, the required expected gain or mean for z is:

μ(z) = [(-5) × (20/38)] + [(5) × (18/38)]

μ(z) = -0.26 dollars

next, [σ(z)]² = variance (z) = E(z²) + E²(z)

Also, E(z²) = 13.16 + 11.84

or, E(z²) = 25

now, variance (z) = 25 - (-0.26)²

variance (z) = 24.93

next, σ²(z) = 24.93

so, σ(z) = 4.99 dollars.

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Height of  Ball 1: h₁(t) = −16t² + 16, Ball 2: h₂(t) = −16t² + 64. Ball 1 reaches the ground in 2 sec. Ball 2 reaches the ground in 3 sec. The correct answer is option (c)

To understand why this is the correct answer, let's first understand what the given information represents. Two identical rubber balls are dropped from different heights, and we are asked to find their respective height functions. The height function gives the height of the ball at any given time during its descent.

We know that the height function of a ball dropped from a height h₀ is given by h(t) = −16t² + h₀, where t is the time in seconds since the ball was dropped.

Using this formula, we can find the height functions for the two balls:

For the first ball dropped from a height of 16 feet, the height function is h₁(t) = −16t² + 16.

For the second ball dropped from a height of 64 feet, the height function is h₂(t) = −16t² + 64.

Now, we need to determine when each ball will reach the ground. We can do this by setting h(t) = 0 and solving for t. When h(t) = 0, the ball has hit the ground.

For ball 1: 0 = −16t² + 16, which gives t = 2. Therefore, ball 1 reaches the ground in 2 seconds.

For ball 2: 0 = −16t² + 64, which gives t = 3. Therefore, ball 2 reaches the ground in 3 seconds.

Comparing their graphs, we can see that both balls follow the same shape but start at different heights. Ball 2 starts at a higher point on the y-axis (64 ft) and takes longer to hit the ground. Ball 1 starts at a lower point (16 ft) and hits the ground sooner. This is because the greater the initial height, the longer it takes for the ball to reach the ground.

The correct answer is option (c)

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Answer:

i believe it is c

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

math

(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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Assuming S is the event that the vehicle is an SUV the value of P(S and D) is:0.38.

Number of vehicles=165

Total number of SUV=10+23+52=85

Hence:

The event that vehicle is SUV(S)=85

The event that vehicle is 4WD(D)=23

Value of P(S and D)=85-23/165

Value of P(S and D)=62/165

Value of P(S and D)=0.375

Value of P(S and D)=0.38 (Approximately)

Inconclusion the value of P(S and D) is:0.38.

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Answer:

c) 0.38

Step-by-step explanation:

just answered it

When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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