USA Today reported that the population mean life span of people who live in Hawaii is 77 years. A random sample of 20 obituary notices gave a sample mean life span of x= 71.4 years and a sample standard deviation s = 20.65 years. Assuming that the life span of people in Hawaii is normally distributed, does this indicate that the population mean life span is less than 77 years? Use a 5% level of significance. a.) What is a? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two tailed test?
α = ____
H_0: µ = _____
H_1: µ = _____
The test is a _______ test.

Answer:

since 4/17 is smaller than 1, multiplying 4/17 with a. fraction smaller than 1 will yield a number still smaller than 4/17. This will still be smaller than 4/16. Hence the correct answer is A.

Step-by-step explanation:

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9514 1404 393

Answer:

  $254,165

Step-by-step explanation:

Assuming payments are made to the account at the end of the month, the balance is the sum of a geometric series with first term 400 and common ratio (1+0.035/12). The sum of 360 payments will be ...

  400((1+0.035/12)^360 -1)/(0.035/12) ≈ $254,165

Ricardo will have about $254,165 in his retirement account after 30 years.

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Answer:

ummmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

12 because it's big and you will find it easily because 3+4=7 and add 5 to reach this number

No solve this you have to multiply the cost per acre by the total are you want to plant:

It'll cost $73.3 to plant 2/3 of the acre.

Answer:

1.1      Factoring:  x2-44  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 44 is not a square !!

Step-by-step explanation:

Answer:

Por tanto, la cantidad de ingredientes necesarios para 6 personas es:

450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.

Step-by-step explanation:

Por lo tanto:

Para queso

4 personas = 300g de queso

6 personas = x

Cruz multiplicar

4x = 6 × 300g

x = 6 × 300 g / 4

x = 450 g de queso

Por 10ml de leche

4 personas = 10 ml de leche

6 personas = x

Cruz multiplicar

4x = 6 × 10 ml

x = 6 × 10 ml / 4

x = 15 ml

Por 100 g de azúcar

4 personas = 100 g de azúcar

6 personas = x

4x = 6 × 100g

x = 6 × 100 g / 4

x = 150 g de azúcar.

Por 100 g de mantequilla

4 personas = 100 g de mantequilla

6 personas = x

4x = 6 × 100g

x = 6 × 100 g / 4

x = 150 g de mantequilla

Por 50 g de harina

4 personas = 50 g de queso

6 personas = x

4x = 6 × 50g

x = 6 × 50 g / 4

x = 75 g de queso.

Por tanto, la cantidad de ingredientes necesarios para 6 personas es:

450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.

So when they say 110% they mean 100% of the original price plus 10% of the original price. Now all we need to do is find 10% of the price and add it to the current price. 2.85 ÷ 100 = 0.0285 → 0.0285 x 10 = 0.285 → 0.285 + 2.85 = 3.14. The answer is $3.14 rounded to the nearest cent.

The standard matrix of a linear transformation T can be found by using the formula A = [T(e1) T(e2) ... T(en)], where A is the standard matrix, e1, e2, ..., en are the columns of the identity matrix, and T(e1), T(e2), ..., T(en) are the images of the identity matrix columns under the transformation T.

1. For the first transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(3,1,3,1) (-5,2,0,0)] = [[3 -5] [1 2] [3 0] [1 0]]. Therefore, the standard matrix of T is [[3 -5] [1 2] [3 0] [1 0]].

2. For the second transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2) T(e3)] = [(1,3) (4,-7) (-5,4)] = [[1 4 -5] [3 -7 4]]. Therefore, the standard matrix of T is [[1 4 -5] [3 -7 4]].

3. For the third transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)], where cos(31/2) and sin(31/2) are the cosine and sine of 31/2 radians, respectively. Therefore, the standard matrix of T is [cos(31/2) -sin(31/2) sin(31/2) cos(31/2)].

4. For the fourth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)], where cos(-1/4) and sin(-1/4) are the cosine and sine of -1/4 radians, respectively. Therefore, the standard matrix of T is [cos(-1/4) -sin(-1/4) sin(-1/4) cos(-1/4)].

5. For the fifth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (2,1)] = [[1 2] [0 1]]. Therefore, the standard matrix of T is [[1 2] [0 1]].

6. For the sixth transformation, the standard matrix of T can be found by using the formula A = [T(e1) T(e2)] = [(1,0) (3,1)] = [[1 3] [0 1]]. Therefore, the standard matrix of T is [[1 3] [0 1]].

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The equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values given, we get:

(x - 3)^2 + (y + 4)^2 = 6^2

Expanding and simplifying, we get the final equation of the circle:

(x - 3)^2 + (y + 4)^2 = 36

Therefore, the equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

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Answer:

A. y= -3x - 1

that's the answer of you substitute the figures in x into where x can be located in A

Answer:

1.35 miles

Step-by-step explanation:

5.4/4 = 1.35 miles per minute

Okay, according with the identities of parallelograms we have: AE=CE and BE=DE.

Replacing we obtain:

AE=CE

2x=x+2

2x-x=2

x=2

BE=DE

y+10=4y−8

10+8=4y-y

18=3y

y=18/3

y=6

And considering that BD=BE+DE, we got:

BD=(y+10)+(4y-8)=(6+10)+(4*6-8)=(16)+(24-8)=16+16=32

So, finally we obtain that the length of BD is 32 units.

Answer:

- 90

Step-by-step explanation:

Evaluate 1*- 5 then the outer one

1*- 5 ( with x = 1 and y = - 5 )

= 1(- 5) + 2(- 5)

= - 5 - 10

= - 15

Then

4*- 15 ( with x = 4 and y = - 15 )

= 4(- 15) + 2(- 15)

= - 60 - 30

= - 90

Part a). If Sylvia fills 7 glasses, then the amount of lemonade she serves is 7/8 of a gallon

Therefore, the amount of lemonade left in the container will be 33/8 gallons.

Part b). If Sylvia fills 20 glasses, then the amount of lemonade she serves is 5/2 gallons

Therefore, the amount of lemonade left in the container will be 5/2 gallons

Part c). If Sylvia fills 32 glasses, then the amount of lemonade she serves is 4 gallons

Now, the amount of lemonade left in the container will be 1 gallon

The option in the question that is equivalent to 3/8 is 2/5.

We can simplify 3/8 and 2/5 so that they have a common denominator:

3/8 = 3*(5/5)/(85/5) = 15/40

2/5 = 2(8/8)/(5*8/8) = 16/40

Since 15/40 and 16/40 have the same denominator, we can compare their numerators to see which is larger:

15/40 < 16/40

Since 16/40 is larger, we can conclude that 2/5 is greater than 3/8.

Therefore, the option that is equivalent to 3/8 is 2/5.

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Answer:

h(2) = 0

Step-by-step explanation:

1) 2 * 2 = 4

2) 4 * 3 = 12

3) 5 * 2 = 10
4) 12 - 10 - 2 = 0

Answer:B

Step-by-step explanation:

The sum of all the internal angle is \($180^{\circ}$\).

The sum of all the internal angle is \($180^{\circ}$\).

\($$\angle A+\angle B+\angle C=180^{\circ}$$\)

1. 34 and 88

\(34+88+\angle C=180 \\\)

\(122+\angle C=180 \\\)

\(\angle C=180-122 \\\)

\(\angle C=58^{\circ}\)

2. 45 and 90

\(45+90+\angle C=180 \\\)

\(135+\angle C=180 \\\)

\(\angle C=180-135 \\\)

\(\angle C=45^{\circ}\)

3. 10 and 102

\(10+102+\angle C=180 \\\)

\(112+\angle C=180\)

\(\angle C=180-112 \\\)

\(\angle C=68^{\circ}\)

4. \($\boldsymbol{x}$\)and 50

\(x+50+\angle C=180 \\\)

\(\angle C=180-50-x \\\)

\(\angle C=(130-x)^{\circ}\)

The complete question is,

Find the measure of the third angle of a triangle given the measures of two angles.

1. 34 and 88

2. 45 and 90

3. 10 and 102

4. x and 50

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According to the statement the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

The distance from the plane to the top of the larger sphere can be found by considering the arrangement of the spheres.

We have three smaller spheres of radius 1 that are mutually tangent to each other and the plane.

On top of them, there is a larger sphere of radius 2.
Let's denote the distance from the plane to the center of the larger sphere as h.

Since the spheres are tangent to each other, the distance from the plane to the top of the larger sphere will be equal to the sum of the radii of the smaller spheres (3 x 1 = 3) plus the radius of the larger sphere (2).
Therefore, the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

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Answer:

Step-by-step explanation:

no

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

A quadratic equation is generally shown in the form of \(ax^{2} +bx + c = 0\)

For example, if you saw the equation  \(7x^{2} + 3x + 20 = 0\)

7 would be \(a\), 3 would be \(b\), and 20 would be \(c\).

To solve the equation above, you would fill in the quadratic formula as such, \(x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}\)

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, \(b^{2} - 4ac\)

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, \(7x^{2} + 3x + 20 = 0\)

We will plug the values into the discriminant.

\(3^{2} - 4(7)(20) = -551\)

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

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The concept of MP Use Structure in relation to solving problems in financial literacy.

MP Use Structure is a problem-solving strategy that involves breaking down a problem into its components, identifying the relevant mathematical structure, and using it to find a solution.

This strategy is particularly useful in financial literacy, where problems often involve various components such as interest rates, taxes, and percentages.

In the context of the given problem, using MP Use Structure could involve identifying the relevant mathematical structure to compare the prices of light bulbs at Hal's Hardware and Sal's Supermarket.

This could involve setting up a system of equations or inequalities to represent the cost per bulb at each store and using algebraic techniques to find a solution.

Overall, using MP Use Structure can help individuals develop their problem-solving skills in financial literacy and make informed decisions when managing their finances.

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Answer:

500

Step-by-step explanation:

g (10) = 20(x+15)

= 20 (10+15)

= 20 (25)

= 500