Can you help me solve this

Answer:

volume =

\( {7}^{2} \times 3.14 \times 2 \times 4\)

Step-by-step explanation:

volume =area of the base circle × height

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

\(p = 0.88*0.7 + 0.2*0.3 = 0.676\)

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that \(P(A) = 0.676\)

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

\(P(A \cap B) = 0.88*0.7 = 0.616\)

Then

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112\)

0.9112 = 91.12% probability that he/she attended classes on Fridays

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

We will have the following:

*First. We determine a new point that can be used to complete the rigth triangle; we are given the points:

So, a point we could use to form a rigth triangle could be:

And we would have the following triangle:

*Second: We determine the distances:

**Distance on the horizontal axis would be 9 units.

**Distance on the vertical axis would be 8 units.

*Third: We determine the distance betweem the two original points:

So, the distance between the two original points is approximately 12 units.

Answer:

Step-by-step explanation:

To determine the cost of goods manufactured, we need to add up the total manufacturing costs incurred during the month and subtract the cost of work in process inventory on March 1, then add the cost of work in process inventory on March 31:

Total Manufacturing Costs = Cost of Direct Materials Used + Direct Labor + Factory Overhead

Total Manufacturing Costs = $18,435 + $26,510 + $37,267

Total Manufacturing Costs = $82,212

Cost of Goods Manufactured = Total Manufacturing Costs - Work in Process Inventory, March 1 + Work in Process Inventory, March 31

Cost of Goods Manufactured = $82,212 - $15,183 + $21,746

Cost of Goods Manufactured = $88,775

Therefore, the cost of goods manufactured for the month of March is $88,775.

To determine the cost of goods sold, we need to calculate the cost of goods available for sale, which is the sum of the cost of goods manufactured and the cost of finished goods inventory on March 1, and then subtract the cost of finished goods inventory on March 31:

Cost of Goods Available for Sale = Cost of Goods Manufactured + Finished Goods Inventory, March 1

Cost of Goods Available for Sale = $88,775 + $21,407

Cost of Goods Available for Sale = $110,182

Cost of Goods Sold = Cost of Goods Available for Sale - Finished Goods Inventory, March 31

Cost of Goods Sold = $110,182 - $26,154

Cost of Goods Sold = $84,028

Therefore, the cost of goods sold for the month of March is $84,028.

Answer:

y= 2x -6

Step-by-step explanation:

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

To find the equation of a line, two information are needed:

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

Additional:

For a similar question on slope-intercept form, do check out the following!

Answer:

It's written as

\(2.6 \times {10}^{ - 3} \)

Hope this helps you

Answer:

2.6 × 10⁻³

Step-by-step explanation:

To write a number in scientific notation, move the decimal to the right or left until you reach a number that is 1 or higher.

In the decimal 0.0026, the first number that is 1 or higher is 2.

0.0026 ⇒ 2.6

When trying to figure out the exponent, here are some things to keep in mind:

- when you move the decimal to the right, the exponent is negative

- when you move the decimal to the left, the exponent is positive

You moved the decimal to the right three places. So the exponent will be -3.

The result is 2.6 × 10⁻³.

Hope this helps. :)

Answer:

12 + 12x + 6y

Step-by-step explanation:

6(2 + x + x + y)

= 6( 2 + 2x + y)

= 12 + 12x + 6y

Hope it will help :)❤

The rate of the first athlete is greater than the rate of the second athlete.

To determine if the rate of the first athlete is greater than, less than, or equal to the rate of the second athlete, we need to compare their average speeds.

The average speed of an athlete is calculated by dividing the distance traveled by the time taken.

For the first athlete who runs 3 miles in 24 minutes, the average speed can be calculated as:

Speed1 = Distance1 / Time1 = 3 miles / 24 minutes = 1/8 miles per minute.

For the second athlete who runs 4 miles in 33 minutes, the average speed can be calculated as:

Speed2 = Distance2 / Time2 = 4 miles / 33 minutes.

To make a comparison, we need to convert both rates to a common unit. Let's convert both rates to miles per minute:

Speed2 =\((4 miles / 33 minutes) * (24 minutes / 24 minutes)\) = (96 miles / 792 minutes) ≈ 0.1212 miles per minute.

Comparing the two rates, we see that Speed1 (1/8 miles per minute) is greater than Speed2 (0.1212 miles per minute). The rate of the first athlete is greater than the rate of the second athlete.

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To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:

Total number of months = 8 years x 12 months/year = 96 months

Next, we can calculate the interest for half a month:

Interest = Principal x Rate x Time

Where:

- Principal = $90,900.00

- Rate = 8.25% (annual interest rate)

- Time = 0.5/12 years (half a month, expressed in years)

Rate needs to be converted to a monthly rate, so we divide it by 12:

Rate = 8.25% / 12 = 0.6875% (monthly interest rate)

Time needs to be expressed in years, so we divide it by 12:

Time = 0.5/12 years

Now we can calculate the interest:

Interest = $90,900.00 x 0.006875 x 0.0416667

Interest = $25.08 (rounded to the nearest cent)

Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.

Answer:

The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64

Step-by-step explanation:

Make a plan:

Draw the conclusion:

Hope this helps!

Answer:

10:21

Step-by-step explanation:

Answer:eita moçaa

Stedssfsdsvbg´xclmvb´zdmfbhd

da

Answer:

K=-3/5

Step-by-step explanation:

y= -3x/5 - 11/5

INn FOUR hours Jennifer will travel 12 m/h x4 = 48 miles

it will take Thomas 48 miles / 4 m/hr = 12 hours to reach the bike in the meantime Jennifer has EIGHT hours of walking 3 m/hr x 8 = 24 miles form the bike Thomas now sets out at 10 m/h this is 10 - 3 = 7 m/h faster than Jennifer is walking he will close the 24 miles and catch Jennifer in 7 m/hr *x = 24 m

24/7hours

So Thomas walks for 12 hours then bikes for 24/7 hr = 15 3/7 hrs = ~ 15 hr 26 min

We can rewrite the circle equation as:

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

Then the correct option is the first one, the radius is 3 units and the center is (2, -4)

The equation for a circle of radius R and center (a, b) is written as:

(x - a)^2 + (y - b)^2 = R^2

Here the equation is:

x^2 + y^2 - 4x + 8y + 11 = 0

We need to complete squares, we can rewrite:

(x^2 - 4x) + (y^2 + 8y) + 11 = 0

(x^2 - 2*2x) + (y^2 + 2*4y) +11 = 0

Now we can add and subtract 2^2 and 4^2 in each parenthesis, so we get:

(x^2 - 2*2x + 2^2) - 2^2 + (y^2 + 2*4y + 4^2) - 4^2 + 11 = 0

(x - 2)^2 + (y + 4)^2 - 4 - 16 + 11 = 0

(x - 2)^2 + (y + 4)^2 = 9 = 3^2

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

So, the radius of the circle is 3 units, and the center of the circle is the point (2,  -4)

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Answer:

two of them are possible which one is the correct

Answer: The angle is in the second quandrant

Step-by-step explanation:

If sin of theta is greater than 0, the angle theta has to be in either the first or second quandrant. If tangent of theta is less than 0, it cannot be in the first or third quandrant. Therefore, we know the angle is in the second quandrant.

The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:

5.4 liters ÷ 10 teams = 0.54 liters per team

However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.

The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:

0.54 liters per team × 920 grams per liter = 497.28 grams per team

Therefore, each team will receive 497.28 grams of olive oil as per the work.

Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.

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Answer:

Europeans were so afraid of the Vikings because they raided/ took over parts of their land in Western Europe.

Because they raided in all of their continents and settled there, and also destroyed all of their belongings.

(don't put this part but also because they were swedish)

have a good day/night <3

good luck <3

-Dan

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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The binary connective of implication ⇒ is defined as (A ⇒ B) ⇔ ((¬ A) ∨ B). It can be read « A implies B », « A is a sufficient condition for B », or « B is a necessary condition for A ».

What is connective?

Connective is function, or the symbol representing a function, which corresponds to English conjunctions such as "and," "or," "not," etc. that takes one or more truth values as input and returns a single truth value as output.

What is logical connective?

A Logical Connective is a symbol which is used to connect two or more propositional or predicate logics in such a manner that resultant logic depends only on the input logics and the meaning of the connective used.

Generally there are five connectives which are −

OR (∨)

AND (∧)

Negation/ NOT (¬)

Implication / if-then (→)

If and only if (⇔).

connective of implication ⇒ is defined as (A ⇒ B) ⇔ ((¬ A) ∨ B).

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Solution:

Given the average score model;

On the original exam;

His average score on the original exam is 85

(b) After one year;

His average score after one year is 78

(c)

Answer:

train A=38mph train B=44mph

Step-by-step explanation:

Setting up a table:

         s            t           d

A     x            190/x    190

B    x+6      220/x+6  220

Train A was 6mph slower as shown in the table, so to make it easier, train a is identified as x, train b would be x+6

Their distances are put in their respective column.

You find time from distance divided by speed.

So time would be written as such.

Since you know they take the same amount of time, for the equation, you connect them with an equal sign. Cross multiply to something like:

190(x+6)=220x

190x+1140=220x

1140=30x

x=38

You plug this in and get the speed for train A as 38, and train B as 44.

Hope this helps ^^

To write the expressions in standard notation we need to follow this rule:

• When we multiply by a power of 10 we will move the decimal point to the right if the exponent of the 10 is a positive number and to the left, if the exponent of the 10 is a negative number.

We start with the first expression:

Since the exponent of 10 is negative, we will move the decimal point to the left. And we move it the number of times that the exponent indicates: 4

The following image shows the result after moving the decimal place:

As you can see we have moved the decimal point 4 places to the left and it is important to fill the spaces with 0.

Thus:

Now we solve the second expression:

Again the exponent of 10 is negative so we will move the decimal point to the left the number of times the exponent indicates: 3 times.

The following image shows the result after moving the decimal point:

Thus:

Finally, we solve the third expression:

We will move the decimal point 5 times to the left:

And again we have filled the blank spaces with 0.

The result is:

Answer:

Answer:

25 + 9^3

Step-by-step explanation:

Answer:

=65

Step-by-step explanation:

Step 1 ) Convert 5% to a decimal : 0.05

Step 2) Multiply that by amount ( 0.05 × 65 = 3.25)

Step 3) Subtract from amount ( 65 - 3.25 ) = $61.75

Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation: