A brokerage survey reports that 28% of all individual investors have used a discount broker (one that does not charge the full commission). If a random sample of 105 individual investors is taken, approximate the probability that at least 30 have used a discount broker. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.

The ways in which we can shade the shape to get the total is: Shape 1: 3/5 shaded. Shape 2: 2/5 shaded. Shape 3: 2/5 shaded. To decompose g we use 7/5 = 4/5 + 3/5.

To express a quantity that is a portion of a whole, use fractions. They are made up of a denominator and a numerator, two integers separated by a horizontal line. The denominator is the total number of equally sized components that make up the whole, while the numerator is the portion of the whole that is being taken into account.

Because they are different ways of expressing the same quantity, decimals and percentages have a relationship to fractions. With a base of 10, decimals can be used to express fractions, with each digit standing for a different power of 10.

Given that, the total shaded area must be 7/5.

The ways in which we can shade the shape to get the total is:

Shape 1: 3/5 shaded

Shape 2: 2/5 shaded

Shape 3: 2/5 shaded

Now, for two shapes we can use the addition of two fractions as follows:

7/5 = 4/5 + 3/5

The example of the form is:

7/5 = 4/5 + 3/5

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AB,BC, CD, AD, AC, BD.

Answer is 6.

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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Answer:

208

Step-by-step explanation:

There are 5 weekdays in a week and 2 weekend days. Since there are 4 weeks, multiply 5 times 4 to get 20 weekdays/month, and 2 times 4 to get 8 weekend days/month. 20 times 8 (the hours she sleeps) is 160 hours, and 8 times 6 is 48 hours. Put together, you get 208 total hours.

We have 16% (8 out of 50) students from a random sample of 50 students from a population report having no student debt, we conclude from the sampling distribution suggests that it is highly likely to obtain a sample in which the proportion of students reporting no debt falls within the range of 4% to 28%.

Sampling Distribution- In statistics, the sampling distribution is the probability distribution of a particular statistic (such as the mean) for a particular sample size. To put it another way, it is the distribution of the statistic for all possible samples of a given sample size from the population.

The sampling distribution is defined as the probability distribution of a statistic for a random sample taken from a population. The sampling distribution is an essential concept in statistics because it enables researchers to analyze and make inferences about a population without examining every member of the population.

A sample is a subset of the population, and when we analyze a sample, we use sampling distributions to help us make inferences about the population. In the above scenario, the sampling distribution concludes that there is a high probability of selecting a sample where the percentage of students with no debt is between 4% and 28%.

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Answer:

77

Step-by-step explanation:

(6 + 3)² is same as (a +  b)²

Since (a +  b)² = a² + 2ab + b²

Therefore,

(6 + 3)² - 4

= (36 + 36 + 9) - 4

= 81 - 4

= 77  

Hi there! Hopefully this helps!

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Since PEMDAS exists, we will do parentheses "(6+3)" first to get 9.

Then we do the exponent which is:

\(9^{2}\) = 81.

Then we subtract.

81 - 4 = 77.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

More broken down explanation:

\((6+3)^{2} -4\)

Add 6 and 3 to get 9.

\(9^{2} - 4\) ≈ \(77\)

Calculate 9 to the power of 2 and get 81.

\(81-4\) = \(77\)

Answer: \(y-1=\dfrac32(x+3)\)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \(\dfrac{d-b}{c-a}\)

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\(\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}\)

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

\((y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)\)

Required equation: \(y-1=\dfrac32(x+3)\)

Answer:

1. x = 10  2. x = 7  3. x = 1  4. x = 6

Explanation:

1. -2x + 81 = 61 (Subtract 81 from 61)

  -2x = -20 (Divide)

   x = 10

2. 9x - 58 = 5 (Add 58 to 5)

   9x  = 63 (Divide)

   x = 7

3. 21 +10x = 3x + 28 (Rearrange expression)

   21 - 28 = 3x - 10x (Combine like terms)

   -7 = -7x (Divide)

    x = 1

4. 9x - 42 = 2x (Rearrange)

   9x - 2x = 42 (Combine like terms)

   7x = 42 (Divide)

   x = 6

The answer is shown in the picture

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Solution

Step 1

Find the weight of one ball

From the question, each hundredth block represents a whole, therefore ken will shade

3 col

Name of the shape:

Surface Area of Right Triangular Prism:

⇒ Base x Height + Length(perimeter of the base)

There surface area of this shape is 144 cm²

#a

#b

If sides be L,B,H

Then

#c

Now

Answer:

120ft.

Step-by-step explanation:

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.

The perimeter of the rhombus is P = 120 feet

A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.

When the two diagonals of a rhombus are known,

The perimeter = 2√p² + q²

where 'p' and 'q' are the diagonals.

Given data ,

Let the rhombus be represented as ABCD

Let the side length of the rhombus be AB = 30 feet

And , perimeter = 2√p² + q²

And , P = AB + BC + CD + AD

Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.

In ΔAOD,

(Perpendicular/hypotenuse) = sin 30°

or, 1/2 = 15/AD

otherwise, AD = 15 x 2 = 30 ft

So, AD equals 30 feet.

Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.

On simplifying , we get

P = 4 ( 30 feet )

So , P = 120 feet

Hence , the perimeter is 120 feet

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there are 6+9+10=25 equal parts, so Ben has 9/25 of the total.

We can use the incenter to find the best location, because the point that is equidistant to all sides of a triangle is called the incenter.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

The incenter is equidistant from the sides of the triangle and the point that is equidistant to all sides of a triangle.

Hence, We can use the incenter to find the best location, to place a streetlight so it was equidistant from three sidewalks.

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Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

Answer:

x = 2

Step-by-step explanation:

x + 5(x + 3) = 27 ← distribute parenthesis and simplify left side

x + 5x + 15 = 27

6x + 15 = 27 ( subtract 15 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

Step-by-step explanation:

Solve the equation for x, and enter your answer below.

x+ 5(x + 3) = 27​

x + 5x + 15 = 27

6x + 15 = 27

6x = 27 - 15

6x = 12

x = 12 : 6

x = 2

-----------------------

check

2 +5(2 + 3) = 27

2 + 10 + 15 = 27

27 = 27

the answer is good

Based on the given information:

d = {x | x is a whole number}

e = {x | x is a perfect square < 36}

f = {x | x is an even number between 20 and 30}

We can evaluate the statements:

1. 9 ∈ d: True. 9 is a whole number.

2. 4 ∈ e: True. 4 is a perfect square less than 36.

3. 35 ∈ f: False. 35 is not an even number between 20 and 30.

4. 13 ∉ d: True. 13 is not a whole number.

5. 16 ∈ e: True. 16 is a perfect square less than 36.

6. 24 ∈ f: True. 24 is an even number between 20 and 30.

7. 49 ∈ e: False. 49 is not a perfect square less than 36.

8. 25 ∉ f: True. 25 is not an even number between 20 and 30.

Therefore, the true statements based on the given information are:

1, 2, 4, 5, 6, 8.

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The inequality and number line that shows the solution is x>-7.

Given,

-4x <28

(-4x) (-1) > 28 (-1)

Simplify

4 x>-28

Divide both sides by 4

\(\frac{4 x}{4} > \frac{-28}{4}\)

Simplify

x>-7

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Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!

Answer:

20 - 15 • 125

Step-by-step explanation:

The expression 12 - 7 × 125 is equivalent to the expression negative 863.

The equivalent is the expression that is in different forms but is equal to the same value.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 12 - 7 × 125

Simplify the expression, then the value of the expression will be

⇒ 12 - 875

⇒ -863

The expression 12 - 7 × 125 is equivalent to the expression negative 863.

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The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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Answer:

Step-by-step explanation:

7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis

7x -14 -3x -9 = 5x -15 +x , isolate like terms

7x -3x -5x -x = 14 +9 -15, combine like terms

-2x = 8, divide both sides by -2

x= -4

Answer:

1.x=9 Nd 2.x=3/4....... .........

Step-by-step explanation:

Jack mows 1 lawn in 3 hours

= 1/3 lawn in 1 hour

Marilyn mows 1 lawn in 6 hours

= 1/6 lawn in 1 hour

Together, they can mow 1/3 + 1/6

= 1/2 lawn in 1 hour.

Hence they will need 2 hours to mow the lawn.

71 kg is equal to 156.53 pounds.

To convert kilograms (kg) to pounds (lbs), you can use the conversion factor 1 kg = 2.205 lbs. To convert 71 kg to lbs, you would multiply 71 by 2.205, which gives you 156.53 pounds.

It's important to note that the pound is a unit of weight in the Imperial system of measurement, while the kilogram is a unit of weight in the Metric system of measurement. These two systems are not directly comparable, so it's essential to use a conversion factor when switching between them.

In addition, it's good to know that the pound is commonly used in the United States, while the kilogram is more commonly used in other countries around the world.

It's worth mentioning that the conversion factor is exact, but due to rounding errors when converting large numbers of kilograms to pounds, there might be a slight discrepancy in the result.

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Answer:

65

Step-by-step explanation:

remember a TRIANGLE always have a 180 degrees total angle,

so 45+70=115

180-115=65