On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval

Answer:

x^4 • x^-2 = x^6

Step-by-step explanation:

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

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Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

Answer:

Not quite sure, but I think its the mean?

Answer:

B, 3 8/9

Step-by-step explanation:

It all comes down to equivalent fractions.

2 1/3 as an improper fraction is 7/3.

1 5/9 as an improper fraction is 14/9. 1/3 = 3/9.

With that being said 7 x 3 = 21 resulting in 21/9.

14/9 + 21/9 = 35/9.

35/9 as a mixed fraction is 3 8/9.

Answer:

1. 42

2. 21

3. 63

Step-by-step explanation:

Hope this helps have a nice day!

Answer:

1) 42

2) 21

3) 63

Step-by-step explanation:

1)

50% = 0.5

84(0.5) = 42

2)

25% = 0.25

84(0.25) = 21

3)

75% = 0.75

84(0.75) = 63

Answer: 0.1 ft longer

4/5 = 0.8

0.8 - 0.7 = 0.1

Answer:

12

Step-by-step explanation:

66 = A+B+C

A = 5+B

C= B-2

66= 5+B+B+B-2

66=3+3B

63=3B

B=7

A=5+B = 5+7 =12

Answer:

the first answer maybe?

Step-by-step explanation:

Answer:

Plot these points

(-3,0)

(-5,0)

(-4,1)

(-2,-3)

(-6,-3)

Step-by-step explanation:

Let find the zeros of the equation.

We can factor this equation.

Factor out the -1.

[tex] - 1( {x}^{2} + 8x + 15)[/tex]

Factor using AC method

[tex] - 1(x + 3)(x + 5)[/tex]

Set all the terms equal to zero.

[tex]x + 3 = 0[/tex]

[tex]x + 5 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x = - 5[/tex]

So our x intercepts are -3,0 and -5,0.

To find our vertex, apply the -b/2a.

[tex] \frac{8}{ - 2} = - 4[/tex]

Then

Substitute-4 for x.

[tex]y = - {4}^{2} - 8( - 4) - 15 = 1[/tex]

So our vertex is at (-4,1).

Find some other points like -2 and -6.

To find -2, substitute-2 into the quadratic.

[tex]y = - ( { - 2}^{2}) - 8( - 2) - 15 = - 3[/tex]

So -2,-3.

Since y=-4 is the axis of symmetry

-6,-3

The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is

( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = −x² − 8x − 15

On simplifying the equation , we get

y = -1 ( x² + 8x + 15 )

On factorizing the equation , we get

y = -1 ( ( x + 5 ) ( x + 3 )

So , the 2 values for x is -5 , -3

So , the two points are ( -5 , 0 ) and ( -3 , 0 )

The vertex will be -b/2a

Substituting the values in the equation , we get

The vertex = -8/2 = -4

So , when x = -4

y =  -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 1 x -1 )

y = 1

So , the vertex is at the point ( 4 , 1 )

Now , when x = -1

y = -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 4 x 2 )

y = -8

So , the point is ( -1 , -8 )

Now , when x = -2

y = -1 ( ( x + 5 ) ( x + 3 )

y = -1 ( 3 x 1 )

y = -3

So , the point is ( -2 , -3 )

Hence ,

The 5 points which satisfies the quadratic equation y = −x² − 8x − 15 is

( -5 , 0 ) ( -1 , -8 ) , ( -2 , -3 ) , ( 4 , 1 ) , ( -3 , 0 ) and the vertex point is ( 4 , 1 )

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Answer:

the answer is x=2.

Step-by-step explanation:

study

Answer:

the answer is x=2. Hope this helps!!!

Step-by-step explanation:

Answer:

<ONP and <MNP

Step-by-step explanation:

Answer:

triangular prism

Step-by-step explanation:

Answer:

Perimeter = 4(√2 + √5) units

Step-by-step explanation:

Given:

Quadrant of 4 points;

A(3, 5) B(1, 3) C(3, -1) D(5, 3)

Find:

Perimeter

Computation:

Distance = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(3 - 1)² + (5 - 3)²

Distance between AB = √4 + 4

Distance between AB = 2√2 units

Distance between BC = √(1 - 3)² + (3 + 1)²

Distance between BC = √4 + 16

Distance between BC = 2√5 units

Distance between CD = √(3 - 5)² + (-1 - 3)²

Distance between CD = √4 + 16

Distance between CD = 2√5 units

Distance between DA = √(5 - 3)² + (3 - 5)²

Distance between DA = √4 + 4

Distance between DA = 2√2 units

Perimeter = sum of all sides

Perimeter = 2√2 + 2√5 + 2√2 + 2√5

Perimeter = 4√2 + 4√5

Perimeter = 4(√2 + √5) units

Answer:

-8,-5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

Answer:

-10

Step-by-step explanation:

g(5) for g(x)= -2x

we put 5 to x

g(5) =  -2.5

       =-10

Answer: Yes, because there are at least two claims

Step-by-step explanation:

Ur welcome 3>

Answer:

(-11, -7)

Step-by-step explanation:

The original point is (-9,-2)

The transformation you have to do is (x-2 , y-5)

This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)

So, your final answer would be (-9-2,-2-5) which is (-11,-7)

Answer:

Jenny spent $11 on each dvd she bought.

Step-by-step explanation:

First and foremost, add 55 and 22 since her account balance is now at -$22 since that shows she spent even more.

55+22= 77

Next step divide 7 into 77 since that's how many dvds jenny bought.

77÷7= 11

The answer is $11. Jenny spent $11 on each dvd she bought.

Hope this helps

Answer:

144x=8.64

This way you can divide by 144 to find how much each individual pencil costs

Answer:

Step-by-step explanation:

10/4= 2 r 2

Answer: it’s 2.5, with a remainder it’s 2 r2

Step-by-step explanation:

Answer:

There is nothing attached

Step-by-step explanation:

Where is the picture?

Answer:

8 ( 3 − 1 )

Step-by-step explanation:

Step-by-step explanation:

490.87 square inches

3.4088 square feet

0.37876 square yards

3,166.9 square centimeters

0.31669 square meters

Answer:$9.8

Step-by-step explanation:

I divided 63.70 by 6.5 and got 9.8 I checked my workers by multiplying 9.8 and 6.5 to get me with 63.70

Answer:

2) 20 students

4) 28 students

Question 2 is 25% - but it's asking how many. If you know the total number of students multiply that times .25 and that number is your answer. So .25 x 80 = 20

Question 4 is 35% also multiplied times the total number of students. So it would be the total number of students multiplied times .35.

So .35 x 80 = 28

Both of these questions want the number of students, not the percent.

Answer:

iii. priceof a house in Saratoga, N.Y.

Step-by-step explanation:

In this question, we take a sample from house prices of 1728 houses in Saratoga, New York.

Since only houses from Saratoga are part of the sample, the response variable will be related only to Saratoga.

In this question:

Sample to find house prices in Saratoga, which is the variable of interest. The correct answer is given by option iii.

Answer:

B

Step-by-step explanation:

Answer:

d) 72/100

Step-by-step explanation:

the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !

Answer:

72/100

Step-by-step explanation:

There is 40 whole and 30 whole which equals 70. Plus 2 which is 72 so the answer is 72/100