Emma needed a loan of $600 for repairs to her house. The bank loaned her the money at 10% interest for 2 years. What is the total amount of the loan?

Answer:

Statistical tables can be classified under two general categories, namely, general tables and summary tables.

The statistical tables may further be classified into two broad classes namely simple tables and complex tables. ...

The marks secured by a batch of students in a class test are displayed in Table 3.8.

Step-by-step explanation:

Answer:

indirect measurement

The correct answer is d) To avoid a large number of classes with very small frequencies.

Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.

For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.

Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.

Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.

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Answer:

4x^(2) - 20x + 16

Step-by-step explanation:

(2x-8)*2x-2

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

x = 6 , y = 4 , 2 units

Step-by-step explanation:

2y - 6 = y - 2 ⇒ y = 4

3x - 16 = y - 2

3x - 16 = 4 - 2

3x = 18 ⇒ x = 6

Length of sides of square is 2 units

Answer:

Stephen Talked for 138 minutes.

Step-by-step explanation:

(0.10)m + 10.00 = 23.80         Given

              -10.00   -10.00      

            (0.10)m = 13.80          Subtraction Property of Equality

              /0.10       /0.10        

                      m = 138             Division Property of Equality

Answer: Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Stephan talked for ✔ 138 minutes.

To find the probability of getting a sum of eight when two dice are rolled, we need to determine the number of favorable outcomes (sum of eight) and the total number of possible outcomes.

When rolling two dice, the possible outcomes for each die range from 1 to 6. To get a sum of eight, we can have the following combinations:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)

This gives us a total of 5 favorable outcomes.

The total number of possible outcomes when rolling two dice is 6 multiplied by 6, which equals 36.

Therefore, the probability of getting a sum of eight is given by the fraction: favorable outcomes / total outcomes = 5 / 36.

Converting this fraction to a decimal, we get approximately 0.1389 (rounded to four decimal places).

So, the probability of getting a sum of eight when two dice are rolled is approximately 0.1389.

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Answer:

A!

Step-by-step explanation:

Answer:

x = ±6

Step-by-step explanation:

=> \(x^3 = 216\\\)

Taking cube root on both sides

=> x = ±6

The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

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He will earn 2603.16 dollar in one year.

An expression is a collection of terms that have been joined together using the operations +, -, or x, such as 4 x 3 or x 2 - x y + 17.

Two expressions are said to be equal in value by an equation, such as 4 b 2 = 6.

Given:

A copy of the entire query is provided below:

45w+ 155

He will therefore save

=45*6+155

=270+155 =425 dollars

so,  w=6.

Knowing that a year equals 52 weeks

Also,

w=52 and

w²/25+45w+155

Thus,

=52*52/25+45*52+155

=108.1602340+155

= $263.16

Hence, he will make $2603.16 in a year.

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Cara will need 9/16 cups of flour to make 1/4 of the original recipe.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Cara's original recipe requires 1 1/2 cups of flour for the muffins and 3/4 cup of flour for the topping, for a total of 1 1/2 + 3/4 = 2 1/4 cups of flour.

To make 1/4 of the original recipe, Cara needs to multiply each ingredient by 1/4.

1/4 of 1 1/2 cups of flour for the muffins is (1/4) x (3/2) = 3/8 cup of flour.

1/4 of 3/4 cup of flour for the topping is (1/4) x (3/4) = 3/16 cup of flour.

Therefore, the total amount of flour Cara will use to make 1/4 of the original recipe is:

3/8 + 3/16 = 6/16 + 3/16 = 9/16 cup of flour.

Thus, she will need 9/16 cups of flour to make 1/4 of the original recipe.

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We need to print at-least 19 subsets to be sure of having at least 4 identical subsets on the list.

To be sure of having at least 4 identical subsets on the list, we need to consider the worst-case scenario where each subset printed is unique until the 4th identical subset is printed.

In general, the number of subsets of a set with n elements is given by 2^n. Since we are dealing with a 4-element set, the number of subsets is 2^4 = 16.

So, in the worst-case scenario, we need to print at least 16 + 3 = 19 subsets to be sure of having at least 4 identical subsets on the list.

When printing subsets of a 4-element set, the number of subsets we can generate is determined by the number of elements in the power set of the original set. The power set includes all possible subsets, including the empty set.

For a set with n elements, the power set has 2^n subsets. In this case, with a 4-element set, we have 2^4 = 16 subsets.

However, to ensure that we have at least 4 identical subsets, we need to account for the worst-case scenario where all subsets printed are unique until the 4th identical subset is printed. Therefore, we need to print 16 + 3 = 19 subsets.

The additional 3 subsets ensure that even if the first 16 subsets are all unique, the 17th, 18th, and 19th subsets will contain at least 4 identical subsets, satisfying the requirement.

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Term 11=a+10d

Here

a=10

d= 7-10= -3

Term 11;

=10+(10×-3)

=10+(-30)

= -20 is the answer

Thank you Hope it helps dear

Answer: -32

Step-by-step explanation:

a=10, d = 7-10 = -3

First find which term is -62

an = -62

a = (n-1) d= -62

Putting values

10 + (n-1)(-3) = -62

10 + (n(-3) -1 (-3) = -62

10 - 3n + 3 = -62

13 - 3n = -62

-3n = -62-13

n = 75/3 = 25

We need to find out 11th term from the last term ie., 25 - 10 = 15th term

So we need to find a14

an = a +(n-1) d

a15 = 10+ (15-1) (-3)

= 10 + 14 (-3)

= 10 -42

= -32

So the 11th term from the 15th term from the first = -32

Answer:

Step-by-step explanation:

i belive it would be 500 divided by 20m

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer: 242 square ft

Step-by-step explanation:

Divide the polygon into 2 pieces so you have 2 rectangles. Then find the area of both rectangles.

Answer:

see explanation

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = width × length

let width be w then length is 2w + 3 ( 3 more than twice the width ), then

A = w(2w + 3) ← distribute

   = 2w² + 3w

When w = 4 , then

A = 2(4)² + 3(4)

   = 2(16) + 12

    = 32 + 12

     = 44 ft²

Answer:

5B; 7B; 1,024; see answer

Step-by-step explanation:

5.

We can see from the table that

a1 = 5

a2= 5·2 = 10

a3= 5·2·2 = 5·2² = 20

a4 = 5·2·2·2 = 5·2³ = 40

...

\(a_{n} = 5*2^{n-1}\)

7.

Is given that the filter removes 90% of contaminated air

after run 1 :

100% air

90% contamination removed for 100% air

100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%

10% is still contaminated air

after run 2:

10% air

90% contamination removed for 10% air

10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%

1% is still contaminated air

after run 3:

1% air

90% contamination removed for 1% air

1% is .1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%

.1% is still contaminated air

11.

Figure 1 = 1 piece

Figure 2 = 4 pieces

Figure 3 = 4² = 16

...

\(Figure 6 = 4^{(6-1)} = 4^{5} = 1024\)

12.

\((c+d)^{6} \\\)

-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1

-we start with c to the lowest power 0 and d to the highest power 6  and end with  d to the lowest power 0 and c to the highest power 6

\((c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}\)

-we simplify to have the final answer:

\((c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}\)

Answer:

5:45pm

Step-by-step explanation:

Find the LCM of the time it takes each bus to complete its route

Prime factorization:

15=3×5

35=5×7

LCM=3×5×7=105

Therefore they'll be back at the bus depot together after 105minutes

Now 105minutes=1hour45minutes

4pm+1.45hrs=5:45pm

Answer:

7.2

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

A function cannot have an x-value that produces more than y-value.  Examples would be {(2, 2), (2,3)} and {(1,0), (1,5)}.

A - This could be a function because it follows the above rule.

B - This can not be a function because it has an x-value that has two y-values.

C - This could be a function because it follows the rule.

D - This can not be a function because it has an x-value that has two y-values.

E - This could be a function because it follows the rule.

Answer:

see explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

-112

Step-by-step explanation:

Simplified:-40 - 72=-112

Answer:

60

Step-by-step explanation:

30 pages per 6 hours

300/30 = 10

10*6 = 60 hours