Please help
What is the area of the triangle?

Using the normal distribution, it is found that:

a) 4.75% of drivers have a reaction time greater than 1.8 seconds.

b) The reaction time is of at least 1.73 seconds.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given by, respectively:

\(\mu = 1.5, \sigma = 0.18\)

Item a:

The proportion is one subtracted by the p-value of Z when X = 1.8, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{1.8 - 1.5}{0.18}\)

\(Z = 1.67\)

\(Z = 1.67\) has a p-value of 0.9525.

1 - 0.9525 = 0.0475 = 4.75%.

4.75% of drivers have a reaction time greater than 1.8 seconds.

Item b:

The reaction time is of at least X seconds, in which X is the 90th percentile, that is, X when Z = 1.28, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 1.5}{0.18}\)

\(X - 1.5 = 1.28(0.18)\)

\(X = 1.73\)

The reaction time is of at least 1.73 seconds.

More can be learned about the normal distribution at https://brainly.com/question/24663213

The balance on the loan after a month is $623389.25.

The following can be deduced from the information given:

Principal = $250000

Time = 25

Rate = 6%

Interest = (Principal × Rate × Time) / 100

Interest = (250000 × 6 × 25) / 100

Interest = $375000

The total amount will be:

= Principal + Interest

= $250000 + $375000

= $625000

The balance of the loan will be:

= Amount - One month payment

= $625000 - $1,610.75

= $623389.25

Learn more about interest on:

brainly.com/question/25793394

#SPJ1

Answer:

-5/8

Step-by-step explanation:

Add 2x, subtract 20, then divide by 8

Answer:

The interpretation is that we are 90% sure that the true average salary of the district is in this interval.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the average salary of the district is  [41500,49750].

This means that we are 90% sure that the true average salary of the district is in this interval.

Answer:

Question 1) Is option C: 2. (Question 2) The correct answer is 1.09 for the K12 program. Question 3) Option A: The value of a motorcycle decreases by 12% each year. (Option C) Every year, the number of online subscribers to a service is 4 times what it was the previous year.

The ratio of outputs for any two inputs that are one value apart is 4 thus option (A) is correct. The ratio of outputs for any two inputs that are two values apart is 1/8. The situation in option (3) represents the exponential function.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given table,

The ratio of outputs for any two inputs that are one value apart = (-1/2)/(-1/8) = 4

The ratio of outputs for any two inputs that are two values apart = (-1/8)/(-1) = 1/8

Every year, the number of online subscribers to a service is 4 times what it was the previous year's exponential function with a 4^x exponent.

Hence "The ratio of outputs for any two inputs that are one value apart is 4. The ratio of outputs for any two inputs that are two values apart is 1/8 and the third statement shows exponential function".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

Answer:

less than

Step-by-step explanation:

Answer:

11/5

Step-by-step explanation:

2 x 5 = 10

10 + 1 = 11

11/5

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

2 \(\frac{2}{9}\) days

Step-by-step explanation:

Let d = the number of days.

\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1

\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1

\(\frac{9}{20}\) d = 1  Multiply both sides by \(\frac{20}{9}\)

(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))

d = \(\frac{20}{9}\)   I can break 20 into 9 + 9 + 2

d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\)           \(\frac{9}{9}\) = 1

d = 1 + 1 + \(\frac{2}{9}\)

d = 2 \(\frac{2}{9}\)

Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

Learn more about sets on:

brainly.com/question/21850160

#SPJ1

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

To learn more about inequalities visit:

https://brainly.com/question/27425770

#SPJ9

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

The equation for the circle is

(x - 1)² + (y + 2)² = 9

Then the radius is 3 units and the center is (1, -2), the graph is on the image at the end.

Remember that for an equation for a circle of radius R and center (a, b), the equation is:

(x - a)² + (y - b)² = R²

Here we have the equation of the circle:

x² + y² - 2x + 4y - 4 = 0

We need to complete squares, we will get:

(x² - 2x) + (y² + 2*2y)  = 4

Now we can add in both sides (-1)² and (2)², then we will get:

(x² - 2x + (-1)²) + (y² + 2*2y +  (2)²)  = 4 +  (2)² + (-1)²

(x - 1)² + (y + 2)² = 4 + 4 + 1

(x - 1)² + (y + 2)² = 9 = 3²

Then we can see that the center is (1, -2), and the radius is 3.

The graph of this circle is on the image at the end.

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ9

Yes, a quadratic equation can have no x-intercept at all. Generally, this happens when the equation is of the \(a^{2}\) + bx + c = 0, where a, b and c are all equal to zero.

The equation that has a graph that is a parabola with a vertex at (2, 0) is: y = - \((x - 2)^2\)

The equation that shows the quadratic formula used correctly to solve 7x2 + 9x for x is: x = [- 9 +/- \(\sqrt{(81 - 28)}\)] / 14

The equation that has the solutions x = -3 is: \(x^2 - 6x + 9 = 0\).

Learn more about how to solve quadratic equations:

brainly.com/question/1214333

#SPJ4

Answer:

yes I just checked it

Step-by-step explanation:

Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

For similar question on negative value.

https://brainly.com/question/26092906  

#SPJ8

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

For such more questions on invest

https://brainly.com/question/29227456

#SPJ8

the correct expression which can also be used to determine the total time needed to cook x batches of boiled cornbread is,

B) 10x + 10x + 20 - 5.

Given that;

The expression 20x + 15 represents the total time needed to cook x batches of boiled cornbread.

We can simplify this expression by factoring out the common factor of 5: = 20x + 15

= 5(4x + 3)

Therefore, the expression that can also be used to determine the total time needed to cook x batches of boiled cornbread must have a factor of 5 in it.

Option A:

18x + 4x + 6 + 7 does not have a factor of 5,

so it cannot be the correct answer.

Option B:

10x + 10x + 20 - 5

= 20x + 15,

which is the same as the original expression.

Therefore, Option B is equivalent to the original expression and can also be used to determine the total time needed to cook x batches of boiled cornbread.

Option C:

6(5x + 5) - 10x + 15 = 30x + 15 - 10x + 15 = 20x + 30,

which does not have a factor of 5.

Therefore, Option C is not correct.

Option D:

3(x + x + x + 3) + 2x + 15 = 9x + 6 + 2x + 15 = 11x + 21,

which does not have a factor of 5.

Therefore, Option D is not correct.

Therefore, the correct answer is,

B) 10x + 10x + 20 - 5.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer: C

Step-by-step explanation: It is C because X is greater than (>) 111, and 119 is greater than 111. Good luck on the test!  

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

For more such questions on income

https://brainly.com/question/28414951

#SPJ8

Answer:

$503.70

Step-by-step explanation:

$28.75 × .6 = $17.25

$17.25 × 40 = $690

$690 × .27 = $186.30

$690 - $186.30 = $503.70

The measure of the angles are 60 degrees each

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

AOB = 138 degrees

Also, we have:

The line OX bisects the angle AOB

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

AOX = AOB/2 = 138/2 = 69

Also, we have

XOB = AOB/2 = 138/2 = 69

Hence, the angles are 69 degrees each

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Answer:

Slope = -1

Step-by-step explanation:

I have assigned 7,3 as x2 and y2

and the other coordinates as x1 and y1

Then,

Use the slope formula

9 - 3 / 1 - 7

This would result in -1

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

For such more questions on Cost of tile and carpet.

https://brainly.com/question/29574063

#SPJ8

Answer:

It is option C.

Step-by-step explanation:

I did the test.

Answer:

it c

Step-by-step explanation:

i did the unit test hope this helps :)

Answer:

e=4

Step-by-step explanation:

Answer:

Before A. 32.7247330577, A. 27.8204757722, B. 32.7247330577, C. 15.4868329805, and D. 32.7247330577

Step-by-step explanation:

Used a calculator. Not that Hard.

Answer:

x = - 7, y = 6

Step-by-step explanation:

7x + 7y = - 7 -----> equation 1

- 10x - 7y = 28 -----> equation 2

Add equations 1 & 2,

7x + 7y = - 7

- 10x - 7y = 28

___________

- 3x + 0 = 21

- 3x = 21

x = 21 / - 3

x = - 7

Substitute x = - 7 in equation 1,

7x + 7y = - 7

7y + 7x = - 7

7y + 7 ( - 7 ) = - 7

7y - 49 = - 7

7y = - 7 + 49

7y = 42

y = 42 / 7

y = 6

Answer:

x = -7

y = 6

Step-by-step explanation:

7x + 7y = -7  ------------------(I)

-10x - 7y = 28 ----------------(II)

Add both the equation and so y will be eliminated and we can find the value of x

(I)           7x + 7y = -7

(II)        -10x - 7y = 28 {Now add}

            -3x         = 21              {Divide both sides by (-3)}

                      x = 21/-3

x = -7

Plugin x = -7 in equation (I)

7*(-7) + 7y = -7

-49   + 7y = -7

           7y = -7 + 49

           7y = 42

             y = 42/7

y = 6