out of 100 people surveyed, 52 owned cats,44 owned dogs, and 4 owned guinea pig.what percent of the people surveyed owned either a cat or a dog?

The esteem of the annuity is roughly $21,713.22.

The intrigued (interest) earned on the annuity is roughly $14,513.22.

A. To discover the esteem of the annuity, we are able utilize the equation:

PV = C * ((1 - (1 + r)^(-n)) / r)

where PV is the display esteem of the annuity, C is the intermittent store, r is the intrigued rate per period, and n is the entire number of periods.

In this case, C = $120, r = 4.5%/2 = 0.0225 (since the intrigued is compounded semiannually), and n = 2 * 30 = 60 (since there are 2 periods per year for 30 a long time).

Stepping in these values, we get:

PV = $120 * ((1 - (1 + 0.0225)^(-60)) / 0.0225) ≈ $21,713.22

In this manner, the esteem of the annuity is roughly $21,713.22.

B. The intrigued earned on the annuity would be the overall esteem of the annuity short the entire sum stored over the 30-year period. The full sum kept would be:

Add up to Stores = $120 * 2 * 30 = $7,200

So the intrigued earned would be:

Intrigued = $21,713.22 - $7,200 = $14,513.22

In this manner, the intrigued earned on the annuity is roughly $14,513.22.

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Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

\(\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\)

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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If a business has 50 employees, who each earn more than $7000 per year in wages, the business's yearly FUTA tax payment, without considering the FUTA credit is $21,000.

If we consider the FUTA credit on the assumption that the business pays into a state unemployment insurance program, the FUTA payment is $2,100.

FUTA means the Federal Unemployment Tax Act, which levies 6% on the first $7,000 earned by employees on the employer.

However, employers who pay into their State Unemployment Tax Act (SUTA) are eligible for a FUTA credit of 5.4%, making the effective rate to be 0.6%.

Federal Unemployment Tax Act (FUTA) rate = 6%

FUTA tax credit = 5.4%

Effective FUTA rate after paying SUTA = 0.6%

The number of employees in the business = 50

The FUTA Wage Base = $7,000

The total FUTa wage base = $350,000 ($7,000 x 50)

FUTA tax payment without the credit = $21,000 ($350,000 x 6%)

FUTA tax payment with the FUTA credit = $2,100 ($350,000 x 0.6%)

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Answer:

35

Step-by-step explanation:

70÷2= 35

Answer:35

Step-by-step explanation:

35+35= 70

Answer:

The first answer

Step-by-step explanation:

Area of a rectangle

a = l x w

Area of a circle

a = \(\pi r^{2}\)

Set them each to each other and substitute 8 for w and for r

l x 8 = \(\pi 8^{2}\)  We can divide both sides by 8

l = \(\pi\)8

Answer:

$31.60

Step-by-step explanation:

9.10+7.50+7.50+7.50=31.60

Answer:

£1.44

Step-by-step explanation:

N1 = £0.12

N12 = 12 × N1 = 12 × £0.12 = £1.44

The new expression of the form ax²+bx+c is The new expression of the form ax²+bx+c is

8x²-2x-21

Generally, the equation for is expression  mathematically given as

(2x+3) (4x-7)

Expand (2x+3) (4x-7) using the FOIL Method.

2x (4x)+2x-7+ 3(4x) + 3. -7

Simplify and combine like terms.

8x²-2x-21

In conclusion, The new expression of the form ax²+bx+c is

8x²-2x-21

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Answer:

line s

Step-by-step explanation:

Answer:

your answer will be line r

Step-by-step explanation:

hope it help

The area of the shaded portion of the composite figure could be easily 25*25 - 1/2*13*10 that is 625 - 65 = 560 feet

When referring to a two-dimensional space or points, in mathematics, the term "area" is used. It refers to a region's or a flat object's size, such a square or rectangle. The area of a form is determined in geometry by dividing the length by the breadth. For example, the area of a square with a side length of 4 units is 4 x 4 = 16 square units. Square units, such as square inches, square feet, or square meters, are used to measure area. Triangles (1/2 x base x height), circles ( x radius squared), and trapezoids (1/2 x (base 1 + base 2) x height) are other basic geometric forms with associated area calculations.

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a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

As no table mentioned it can't be told which city accurately but you can find it by below precedence.

Find the city having temperature 10°F , that's the answer

Answer:

a

Step-by-step explanation:

Answer:

f(-4a) = -16a + 8

Step-by-step explanation:

Substitute -4a into the equation

4x(-4a) + 8 = -16a +8

Answer:

The graph is in the pic

Step-by-step explanation:

Answer:

The median for the first plot is 3

The median for the second plot is 7

The largest value for the first plot is 6

So the difference for the first plot is 6 - 3 = 3

The largest value for the second plot is 10

So the difference for the second plot is 10 - 7 = 3

This means the variation quadrial  is bigger for the red plot, but the difference beetween the points is equal.

Answer:

not 75 points

Step-by-step explanation:

Answer:

(-∞,1)∪(1,∞)

Step-by-step explanation:

Domain stretches to positive and negative infinity with an asymptote at 1.0. Different places use different ways to denoting domains, but this should be it!

Samples simply refer to a dataset that represents the overall population.

The term used to describe the type of survey is that, it is a voluntary response sample.

From the question, we understand that the survey question was posted online to internet users.

This means that:

However, users that choose to respond do so at their own will (voluntarily).

Hence, the type of survey is (a) a voluntary response sample

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The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

let's convert the mixed fractions to improper fractions and the subtract.

\(\stackrel{mixed}{5\frac{3}{8}}\implies \cfrac{5\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{43}{8}} ~\hfill \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{43}{8}~~ - ~~\cfrac{15}{4}\implies \cfrac{(1)43~~ - ~~(2)15}{\underset{\textit{using this as the LCD}}{8}}\implies \cfrac{43-30}{8}\implies \cfrac{13}{8}\implies {\Large \begin{array}{llll} 1\frac{5}{8} \end{array}}\)

Answer:

probably yuki

Step-by-step explanation:

real fact

Answer:

The answer is B.

Step-by-step explanation:

Given that the total angle in a triangle is 180°. So in order to find x, you have to subatract 95° and 57° from 180°

\(x + 95 + 57 = 180\)

\(x = 180 - 95 - 57\)

\(x = 28\)

Answer:

a

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

b

\(F_{critical} = 1.8608\)

c

\(F = 2.9085\)

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  \(n_1 = 30\)

 The sample variance for elementary school is  \(s^2_1 = 8324\)

 The second sample size is  \(n_2 = 30\)

  The sample variance for the secondary school is  \(s^2_2 = 2862\)

   The significance level is  \(\alpha = 0.05\)

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

Generally from the F statistics table  the critical value of \(\alpha = 0.05\) at first and  second degree of freedom \(df_1 = n_1 - 1 = 30 - 1 = 29\) and  \(df_2 = n_2 - 1 = 30 - 1 = 29\) is  

         \(F_{critical} = 1.8608\)

Generally the test statistics is mathematically represented as

       \(F = \frac{s_1^2 }{s_2^2}\)

=>   \(F = \frac{8324 }{2862}\)

=>   \(F = 2.9085\)

Generally from the value obtained we see that  \(F > F_{critical }\) Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

Answer:

The second is the answer

y= 1/2x+1

Step-by-step explanation: