70 Points. Find the value of z. Then find the value of the interior angles.

From the given information, the probability that either event will occur is 0.7.

From the given Venn diagram,

Number of A = 4

Number of B = 24

Number of others  = 12

Total number = A + B + others = 4 + 24 + 12 = 40

Probability of event A occurring = number of A / Total number = 4/40 = 1/10 = 0.1

Probability of event B occuring = number of B / Total number = 24/40 = 3/5 = 0.6

Now, the probability of either event will occur = P(A or B) = P(A) + P(B)

P(A or B)  = 0.1 +0.6 = 0.7

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

0.03030

Step-by-step explanation:

10/330=0.03030303

Answer:

33

Step-by-step explanation:

the elevator can travel 330 feet in 10 second 330/ 10

Answer:

work is shown and pictured

Answer:

Step-by-step explanation:

25 + 14 / (5-3)

25 + 14 / 2

25 + 7

32

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

The value of \(\(r\)\) is \(\(r = -2\)\), according to the given cartesian points.

To find the value of \(\(r\)\), we can use the slope-intercept form of a linear equation, \(\(y = mx + b\)\), where \(\(m\)\) represents the slope of the line. Given that the line has a slope of \(\(-10\)\) and passes through the cartesian points \(\((4, 8)\)\)and \\(((5, r)\)\), we can calculate the slope as follows:

\(\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{r - 8}}{{5 - 4}} = r - 8\]\)

Since the slope is \(\(-10\)\), we can equate it to the calculated slope and solve for \(\(r\)\):

\(\[-10 = r - 8\]\)

Simplifying the equation, we have:

\(\[r - 8 = -10\]\)

Adding \(\(8\)\) to both sides, we get:

\(\[r = -10 + 8\]\)

Therefore, the value of \(\(r\)\) is \(\(r = -2\)\).

In conclusion, the value of \(\(r\)\) in the line with a slope of \(-10\) passing through the points \((4, 8)\) and \((5, \(r\))\) is \(\(r = -2\)\). This satisfies the equation and represents the y-coordinate of the second point. This value of \(r\) indicates that the second point lies on the line with a slope of -\(10\) passing through (\(4,8\)).

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Answer:

I just explained the verticle line test

Step-by-step explanation:

the verticle line test is if you draw a line at x=(insert x-value in question) and it hits more than two points from that equation then that does not pass the verticle line test. In the picture I attached, the green funtion(circle) does not pass the verticle line test because it hits x=1(black line) in more than one place while the red function(exponential function) passes the verticle line test because it hits x=1 at only one point.

Answer:

22.5 i think

Step-by-step explanation:

-3x + 8 + 5x = - 35

add like terms

2x + 8 = -35

subtract 8 on both sides

2x  = 43

divide by 2

22.5

Answer:

22.5

Step-by-step explanation:

add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help

Step-by-step explanation:

Given

13 sin θ = 5

sin θ = 5/13 = p/h

p = 5 , h = 13 and b = ?

By using Pythagoras theorem

b = √ h² - p²

= √ 13² - 5²

= √144

b = 12

Now

tan θ

= p / b

= 5 / 12

Hope it will help :)

If the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.

Given that the required reserve ratio is 30 percent and all figures are in billions, the following table shows the total reserves, excess reserves, and required reserves:

Required reserve ratio 30% Checkable deposits $140Billion Reserves required (30% of checkable deposits)$42Billion Reserves held $51Billion Excess reserves held $9Billion Loans outstanding $109Billion Total Securities $100Billion Total Property $10Billion Total Assets $260Billion Stock shares $130Billion Total liabilities $130Billion Net worth (total assets - total liabilities) $130Billion.

Therefore, the total reserves held is $51 billion, and the reserves required is 30% of $140 billion, which is $42 billion.

This implies that the excess reserves are $9 billion.The maximum amount the commercial banking system can lend out is $51 billion minus $42 billion, which is $9 billion.

This indicates that if the commercial banking system actually lends out the maximum amount it is able to lend, the excess reserves will be reduced to zero. This is because there will be no excess reserves held by the commercial banking system after lending out $9 billion.

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Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Sum = -3

First no. = -15/7

Second no. = (-3) - (-15/7)

= -3 + 15/7

= -21/7 + 15/7

= (-21 + 15)/7

= -6/7

The second no. is -6/7.

Answer:

\(\frac{-6}{7}\)

Step-by-step explanation:

Let the other number be 'x'

\(x + \frac{-15}{7} = -3\)

         x = \(-3 + \frac{15}{7}\)

           \(= \frac{-3*7}{1*7} +\frac{15}{7}\\\\=\frac{-21}{7}+\frac{15}{7}\\\\= \frac{-21+15}{7}\\\\= \frac{-6}{7}\)

The mean length (rounded to 2 DP) of these 15 people's index finger is 12.15 cm.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that:

The mean length of 4 children's index fingers is 8.7cm.

The mean length of 11 adults' index fingers is 13.4cm.

The mean of 15 people = [8.7x4 + 13.4x11]/15

The mean of 15 people = [34.8 + 147.4]/15

= 182.2/15

= 12.1466 cm

= 12.15 cm

Thus, the mean length (rounded to 2 DP) of these 15 people's index fingers is 12.15 cm.

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The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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Answer:

z=40 degrees

x=90 degrees

y=40 degrees

Step-by-step explanation:

To solve z you know that 50+90+z= 180 degrees. So z equals 40. To solve x you subtract 90 from 180 to get 90 degrees. To solve you add 50+x+y. You know that x= 90. You would add the angles together to get 180 degrees. 50+90=140 and 180-140 equals 40. Sorry if i'm wrong.

Answer:
a) Provider B would be cheaper
b) \(10m^3\)

Step-by-step explanation:
a) Input 6 into both equations and solve. For Provider A, it would go like this: \(y = 6 + 15\). For Provider B, it would be this: \(y = 2(6) + 5\). The first provider adds up to £21 Pounds ($25.56 USD). The second provider adds up to £17 Pounds ($20.69 USD).

b) All you really need to do is just plug in numbers until both equations contain the same answer. The way I did it was: \(x + 15 = 2x + 5\). If your teacher asks how you got the answer, follow these steps:

\(x+15=2x+5\\x-5=2x-5\\x+10=2x\)

The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The odds against winning a prize in the raffle are 13:1

This means 13 to 1 odds for winning:

The probability of winning a prize:

Winning = 13/(13+1) = 0.929 or

=92.8571%

Losing = 1 - 0.9286 = (0.0714) or

=7.14%

Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

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Answer:

0.071

Step-by-step explanation:

If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.

Answer:

Two equal sides: 15 centimeters, Third side: 21 centimeters

Step-by-step explanation:

Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)

Using it's concept, it is found that the absolute deviation of 30 in the data set is of 2.

The absolute deviation of a measure is given by the absolute value of the differente between the measure and the mean.

The mean is the sum of all observations divided by the number of observations. In this data-set, it is given by:

M = (26 + 35 + 27 + 30 + 22)/5 = 28

30 - 28 = 2, hence, the absolute deviation of 30 in the data set is of 2.

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Answer:

The answer is 2

Step-by-step explanation:

I took the test

Answer:

The third answer is correct.

Step-by-step explanation:

1. It is the subset of a group  - Group sample.

2. It equally favors all members of a group sample   - Random sample.

3. It collects data on members of a group  -  Survey.

4. It does not equally favor all members of a group - Biased sample.

5. It includes all members of a group   -  Population.

6. It analyzes data collected from a group - Mean.

I have matched all concepts in accordance with statistical use, hope it helps.

Answer:

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

Step-by-step explanation:

Given:

DeAndre calculated the volume of the cuboid in three ways:

V= 12.5

V= 15.4

V=20.3

To find: what the 12 and the 5 represent in the figure

Solution:

Volume of cuboid is equal to length × breadth × height

or Area of the base of cuboid × height

Length = 4 units

Breadth = 3 units

So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units

Height of cuboid = 5 units

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

The possible price for the items if the store sells $600 is (c) $40

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

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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\(\huge \bf༆ Answer ༄\)

Let's use slope - point form of a line to find the equation ~

use the coordinates of point (-1 , 3)

therefore ~ C is the Correct choice !

Answer:

Real, rational

Step-by-step explanation:

Natural: No, because it is not an integer.

Whole: No, because it is not an integer.

Integer: No, because its fractional part is non-zero.

Rational: Yes, because it is a terminating decimal.

Irrational: No, because it is a terminating decimal.

Real: Yes, because it is rational.

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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Answer:

-b

Step-by-step explanation:

❖ Step 1: Apply distributive property.

❖ Step 2: Combine like terms.

Therefore, the answer is -b.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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The man's daily wage is given as follows:

$42.

The wages are obtained applying the proportions in the context of the problem.

The woman receives $24 for 8 hours of work, hence her hourly wage is given as follows:

24/8 = $3 per hour.

(Hourly wage = Total wages/total hours).

Their wages per hour are in the ratio 7:5, hence the man's hourly wage is obtained multiplying the woman's hourly wage by 7/5, hence:

7/5 x 3 = 21/5 = $4.2 per hour.

The man works 10 hours a day, hence the daily wage is given as follows, multiplying the hourly wage by 10:

10 x 4.2 = $42.

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