In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was
determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken What is the probability that fewer than 4 are retired people

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

Answer:

This function is an exponential diagram that is not defined in \(x=0\).

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~~`

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Step-by-step explanation: Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Hope this helped you. Brainliest would be nice!

☆_____________❤︎_____________☆

Answer:

232

Step-by-step explanation:

You can make a modal of this:

The blue squares are all the same amount. Therefore, the boys have 2 squares and the girls have 3. You can add these up and get 5 squares in total. Since all these squares have the same value, each of these squares are 580/5=116. Then you multiply this by 2 because there are two boxes for boys, and get  232 as your final answer

Also if you are confused on how I know there are only 5 boxes, there are only boys and girls in the school so the amount of boys + the amount of girls= the total amount of people in the school.

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

Answer:

Brooke and Tony

Step-by-step explanation:

multiply by 4 Brooke got 64 Tony got 68.

The computed mean 51.5 is less than the actual mean of 51.9°.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Here,

Low temperature (°F)    40-44     45-49      50-54      55-59     60-64

Frequency                       3             7             12            6            2

Now, mean = [42(3)+47(7)+52(12)+57(6)+62(2)]/30

= (126+329+624+342+124)/30

= 1545/30

= 51.5°

Therefore, the computed mean 51.5 is less than the actual mean of 51.9°.

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Answer:

28z-12y

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

Yes they will profit $22,000

Step-by-step explanation:

First find total money:

100 customers * $600 premium

= $60,000

add deductibles ($1000) because they are paying for the accident:

=$62,000

Then find the subtractions:

"One of the accidents causes damage to property and the other causes injury or death to one person."

based on the 30/40/10 coverage:

-$30,000 for injury or death to One person

-$10,000 for property damage

62,000 - 40,000 = 22,000

Overall profit : $22,000

I think I did that right...

The company will earn the profit of $22,000.

Profit= $22,000.

The amount you pay for covered health care services before your insurance plan starts to pay.

It is given that:

Most popular premium= $600

According to question there is estimation of 100 person

Total money = 100 customers * $600 premium

                    = $60,000

The deductible amount is $1000 because they are paying for the accident.

So, the deductible amount is= $2000

Total deductible amount =$62,000

As one of the accidents causes damage to property and the other causes injury or death to one person.

So, based on 30/40/10 coverage there will be:

So, the profit will be: 62,000 - 40,000

                                 = $22,000

Overall profit : $22,000

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To express sin O as a fraction in simplest term is 5/6

Using the formula:

Sin O = opposite/ hypotenuse

Where opposite = The side directly opposite the angle

hypotenuse = The longest side of the triangle

Sin O = 5 / 6

Therefore, to express sin O as a fraction in simplest term is 5/6

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9514 1404 393

Answer:

  64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Step-by-step explanation:

The row of Pascal's triangle we need for a 6th power expansion is ...

  1, 6, 15, 20, 15, 6, 1

These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.

Your expansion is ...

  1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...

     15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6

  = 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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

\(\sqrt[4]{a}^3\)

Consider an expression expressed as xⁿ

The expression can be expanded as

xⁿ = x * x * x .... in n places

Using the above as a guide, we have the following:

\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)

Apply the exponent rule of indices

\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)

Apply the power rule of indices

\(\sqrt[4]{a}^3 = a^\frac34\)

Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)

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The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

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Answer: (a) x = -1

Step-by-step explanation:

Given

-2 (x - 1) = 1 - 3x

Expand parentheses and apply the distributive property

(-2) · x - (-2) · 1 = 1 - 3x

-2x + 2 = 1 - 3x

Add 3x on both sides

-2x + 2 + 3x = 1 - 3x + 3x

x + 2 = 1

Subtract 2 on both sides

x + 2 = 1 - 2

\(\boxed{x=-1}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 10/243

Step-by-step explanation:

3^5x = 10

243x = 10

Divide 243 on both sides

10/243

Answer:

19.5%

Step-by-step explanation:

Use the formula I = prt, where I is the interest money, p is the starting amount of money, r is the interest rate, and t is the time that the money was borrowed.

Plug in the values and solve for r:

390 = (1000)(r)(2)

390 = 2000r

0.195 = r

r = 19.5%

Answer:

19.5%

Step-by-step explanation:

Simple Interest = Principal x Time x Rate in % / 100

SI = 1000 x 2 x a / 100

=> SI = 10 x 2 x a

=> SI = 20a

Total Amount = SI + Principal

=> 1390 = 20a + 1000

=> 1390 - 1000 = 20a +1000 - 1000

=> 390 = 20a

=> 390/20 = 20a/20

=> 19.5 = a

Let's recheck

=> 1000 x 2 x 19.5 /100

=> 10 x 2 x 19.5

=> 195 x 2

=> 390

1390 = 390 + 1000

=> 1390 = 1390

So, the interest rate is 19.5 %

Answer:

2470

Step-by-step explanation:

yeah-ya .... right?

Answer:

2,470

Step-by-step explanation:

(2*1000)+(4*100)+(7*10)

2000+400+7

2,470

Answer:

x = 3

y = 17  

or (3,17)

Step-by-step explanation:

y = 4x + 5

y = -1/3x - 8

4x + 5 = -1/3x - 8

4x = -1/3x - 13

12x = -x - 39

13x = -39

x = 3

y = 4(3) + 5

y = 12 + 5

y = 17

Here function f(x) = x-3 when x is less equals to 2 and f(x) = -5x+4 when x is greater than 2. Two piecewise function is graphed below.

A piecewise functiοn is a specific type οf functiοn f(x) which has different values in different ranges οf x. The graph οf a piecewise functiοn has different parts cοrrespοnding tο each οf its defined functiοns. One example οf piecewise functiοn is the absοlute value functiοn.

Here the given piecewise functiοn is

f(x) = x - 3 if x≤2

f(x)= -5x+4 if x>2

Here f(x) = x-3 when x is less equals tο 2 and f(x) = -5x+4 when x is greater than 2.

Hence, twο piecewise functiοn is graphed belοw.

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Answer:

B. 8

Step-by-step explanation:

Start Fraction y minus 5 over 3 End Fraction= 1

This statement above is written Mathematically as:

y - 5/3 = 1

We solve the Equation below

Step 1

y - 5/3 = 1

We cross Multiply

y - 5 = 3 × 1

y - 5 = 3

Step 2

Add 5 to both sides

y - 5 = 3

y - 5 + 5 = 3 + 5

y = 8

Option b is the correct answer

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

hello your question is incomplete attached below is the complete question

answer : The population mean LDL level after six months is same for all four treatments

Step-by-step explanation:

A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments

In order to have a linear equation, you have to write an equation like

\(y=mx+q\)

The sequence has to start with 3, so we must choose \(q=3\), because this guarantees that when \(x=0\) we have

\(y=0\cdot m + 3 =3\)

Now, \(m\) must be even. In fact, if \(m\) is even, \(mx\) will always be even for every possible \(x\), and \(mx+3\) will be odd.

So, for example, you might choose

\(y=2x+3\)

Which will produce the following sequence:

\(\begin{array}{c|c}x&f(x)\\0&3\\1&5\\2&7\\3&9\end{array}\)

and so on

Answer:

he scored about 25 points per game

Step-by-step explanation:

388/15= 25.8666 but since we are talking about gamepoints, there cant be any decimal so we round to the whole number that actually qualifies as a point

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

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To determine if a linear transformation is onto, we need to check if every vector in the range has at least one pre-image in the domain.

Let T be a linear transformation from R^3 to R^2 given by:

T (x, y, z) = (2x - y, x + 3y - 4z)

(a) To check if T is one-to-one, we need to check if for any two distinct vectors (x1, y1, z1) and (x2, y2, z2) in R^3, we have T (x1, y1, z1) ≠ T (x2, y2, z2). Equivalently, we can check if T (x1, y1, z1) - T (x2, y2, z2) ≠ 0 for any two distinct vectors (x1, y1, z1) and (x2, y2, z2) in R^3.

So, let (x1, y1, z1) and (x2, y2, z2) be two distinct vectors in R^3. Then:

T (x1, y1, z1) - T (x2, y2, z2) = (2x1 - y1, x1 + 3y1 - 4z1) - (2x2 - y2, x2 + 3y2 - 4z2)

= (2x1 - y1 - 2x2 + y2, x1 + 3y1 - 4z1 - x2 - 3y2 + 4z2)

= (2(x1 - x2) - (y1 - y2), x1 - x2 + 3(y1 - y2) - 4(z1 - z2))

For T to be one-to-one, the only solution to T (x1, y1, z1) - T (x2, y2, z2) = 0 must be (x1, y1, z1) = (x2, y2, z2). So, we need to solve the equation above and check if the only solution is (x1, y1, z1) = (x2, y2, z2).

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================================================

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

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

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

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

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

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

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.

A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.

Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.

Therefore, options A and D are the correct answer.

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