What is 6+4 3/4+(-2.5)= explain your answer

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

To Learn More About Percent

https://brainly.com/question/24877689

SPJ11

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = \(3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}\)

Number of term N = \(3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}\)

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

\(\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}\)

here;

m = 5

n = 9

r = 0.5

Then:

\(\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}\)

\(\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}\)

\(\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}\)

\(\sum \limits ^n_{k=m}ar^k =0.186\)

For the given the geometric series, 3·0.5⁵ + 3·0.5⁶ + 3·0.5⁷ + ...+ 3·(0.5)¹³,

the responses are;

(1) The number of terms are 9

(2) The value of the sum is approximately 0.374

The given geometric series is presented as follows;

3·0.5⁵ + 3·0.5⁶ + 3·0.5⁷ + ...+ 3·(0.5)¹³

(1) The number of terms in the series = 13 - 4 = 9

Therefore;

(2) The value of the sum can be found as follows;

The common ratio, r = 0.5

The sum of the first n terms of a geometric progression is presented as follows;

\(S_n = \mathbf{\dfrac{a \cdot (r^n - 1)}{r - 1}}\)

The sum of the first 4 terms are therefore;

\(S_4 = \dfrac{3 \times (0.5^4 - 1)}{0.5 - 1} = \mathbf{ 5.625}\)

The sum of the first 13 terms is found as follows;

\(S_{13} = \dfrac{3 \times (0.5^{13} - 1)}{0.5 - 1} = \mathbf{ \dfrac{24573}{4096}}\)

Which gives;

The sum of the 5th to the 13th term = S₁₃ - S₄

Therefore;

\(The \ sum \ of \ the \ 5th \ to \ the \ 13th \ term =\dfrac{24573}{4096} - \dfrac{45}{3} = \dfrac{1533}{4096} \approx \mathbf{0.374}\)

Learn more about geometric series here:

https://brainly.com/question/12471913

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

For such more such question on glasses

https://brainly.com/question/11980886

#SPJ8

The simple ratio of 13 km to 3 km as required to be determined in the task content is; 13 : 3.

It follows from the task content that the simple ratio of 13 km to 3 km is to be determined as required.

On this note, we have that;

13 km to 3 km.

which results to;

13 : 3

However, since 13 and 3 have no common factors except 1; it follows that the result as a simple ratio is; 13 : 3.

Read more on simple ratio;

https://brainly.com/question/29272642

#SPJ1

The required number below correctly describes 25 A is 0.025 KA. Option A is correct.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
25 A is the unit of current,
Now,
This unit can be further written as,
25 A = 25 × KA / 1000 = 0.025 KA

The required number below correctly describes 25 A is 0.025 KA. Option A is correct.

Learn more about measurement here:

brainly.com/question/12629581

#SPJ1

Complete question-

which of the numbers below correctly describes 25 A? a) .025 KA, b) .25KA, c) 25,000 uA, d) 2500 mA

Ciro is right

Gerard is wrong

Gunther is also wrong

Equal expression:

1 - 2(40x - 12)

Answer:

72 pounds

Step-by-step explanation:

6/24=18/x

cross multiply

Answer:

5 book because divide weight 24 for 1 and you go multiplication for 2 3 4 5 6

Step-by-step expl.klanation:

The missing angles of the triangles using law of cosines are:

7) x = 52.41°

8) x = 117.82°

The Law of Cosines (also called the Cosine Rule) says that:

c² = a² + b² − 2ab cos(C). It helps us solve some triangles.

7) Using cosine rule, we can find the angle x. Thus:

20² = 18² + 25² - 2(25 * 18) * cos x

400 = 324 + 625 - 900 cos x

900 cos x = 549

cos x = 549/900

cos x = 0.61

x = cos⁻¹(0.61)

x = 52.41°

8) Using cosine rule, we can find the angle x. Thus:

15² = 12² + 5² - 2(12 * 5) * cos x

225 = 169 - 120 cos x

56 = -120 cos x

cos x = -56/120

cos x = -0.4667

x = 117.82°

Read more about Law of cosine at: https://brainly.com/question/4372174

#SPJ1

Answer:

9576

Step-by-step explanation:

Area of the triangle × height

(1/2×28×19)×36

Since g(x) is a transformation of f(x) and the "-3" is outside the f(x) notation, the transformation will effect the y-values of the points on the graph of f(x).

What will subtracting 3 from every y-value of every point on the graph of f(x) do to the graph?

And more specifically, what will that do to the vertex that was at the point (3,5)?

Answer:

(-3, 2)

Step-by-step explanation:

reflect over the y axis, and then shift down 3 units.

Answer:

2/21-1/3=2-7/21=-5/21

Answer:

c

Step-by-step explanation:

Answer:

C. II and III

Step-by-step explanation:

Vertical angles are all start across from each other.

So:

∠3 and ∠6 are across from each other

∠2 and ∠5 are across from each other

∠1 and ∠4 are across from each other

The only option with at least two of the true statements above is C.

The expected value (to the company) per policy sold is $630 and the expected profit is $6,300,000.

a. Expected value of the claim:

Expected value=20,000 (1/200)+30,000(1/200)+60,000(1/500)

Expected value=100+150+120

Expected value=370

Expected value of the company profit:

Expected value=1,000-370

Expected value=630

b. If the company sells 10,000 policies the expected profit is:

Expected profit=10,000×630

Expected profit=$6,300,000

Therefore the expected value (to the company) per policy sold is $630 and the expected profit is $6,300,000.

Learn more about expected value here:https://brainly.com/question/24305645

#SPJ1

The complete question is:

An insurance policy sells for $1000. Based on past data, an average of 1 in 50 policyholders will file a $20,000 claim, an average of 1 in 200 policyholders will file a $30,000 claim, and an average of 1 in 400 policyholders will file a $60,000 claim.

a. Find the expected value (to the company) per policy sold.

b. If the company sells 10,000 policies, what is the expected total profit or loss for the company?

Answer:

4 classes

Step-by-step explanation:

4+3+5+9+3+4=28

28/6=4.6

Given:

The side of a regular octagon = 6.2 cm

The apothem of a regular octagon = 7.5 cm

To find- the area of the octagon.

Explanation-

We know that octagon is divided into 8 small triangles.

The area of one triangle is computed below.

Thus, the area of the octagon will be

The answer is 186cm^2.

According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

Lean more about isosceles triangle in: https://brainly.com/question/2456591
#SPJ1

Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.

Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.

Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):

32 feet - 40 feet = -8 feet

It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level

For more such questions on feet

https://brainly.com/question/30403118

#SPJ8

Answer:

-8 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

We know

\(\boxed{\sf cos(180-\Theta)=-cos\Theta}\)

Now

\(\\ \sf{:}\!\!\implies cos150\)

\(\\ \sf{:}\!\!\implies cos(180-30)\)

\(\\ \sf{:}\!\!\implies -cos30\)

or

\(\\ \sf{:}\!\!\implies cos(-30°)\)

Option C

Answer:

Step-by-step explanation:

84?

8+4 is 12, and 84 is greater than 80, and less than 90

Answer:

84

Step-by-step explanation:

Answer:

A=-2 and B=7

Equation is -2x+7y=3

Step-by-step explanation:

We will have the following:

From the expression:

From this, we can see that:

a. The slope is 3.

b. The coordinates of the y-intercept (0, -7).

Answer:

1. $19,282.025

2.$3698

Step-by-step explanation:

1.

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)

= $19,282.025

2

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PVe^{rt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 2,580e^{0.03*12}\)

= $3,697.99=$3698

Answer:

The answer is point A' (3, -2).

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

circumference of a circle = 2πr

where

radius (r) = 18m

π = 3.14

plugin values into the formula

C = 2 (3.14) 18

C = 113.04 m

Answer: A

Step-by-step explanation:

It is the definition of independent and dependent events

Equations are statements that have equal values, when compared

The true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

The equation is given as:

\(x^2 + 10x = 11\)

Rewrite as:

\(x^2 + 10x - 11 = 0\)

Expand

\(x^2 + 11x - x - 11 = 0\)

Factorize

\(x(x + 11) -1( x + 11) = 0\)

Factor out x + 11

\((x -1)(x + 11) = 0\)

Solve for x

x = 1 or x = -11

Hence, the true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

Read more about equations at:

https://brainly.com/question/1214333