Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?

Answer:

81

Step-by-step explanation:

Answer: (0.4016, 0.4984).

Step-by-step explanation:

Let p be the proportion of voters will vote for Candidate A for president.

Formula for confidence interval for proportion:

[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

, here [tex]\hat{p}[/tex]= sample proportion

n= sample size.

z* =two-tailed critical z- value.

As per given, we have

n= 700

[tex]\hat{p}[/tex] = 0.45

Critical two-tailed z-value for 99% confidence interval = 2.576

Then, the required 99% confidence interval for p would be:

[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]

Hence, the required confidence interval (0.4016, 0.4984).

Answer:

9

Step-by-step explanation:

You could divide this into several smaller shapes, such as triangles and trapezoids.  But with this one, it might be simpler to count the full squares, half squares, and partial squares.

Full square - 4

Half squares - 3 ( for an area of 1.5)

Two squares divided in half - 2

Three squares divided in half - 1 (for an area of 1.5)

4+1.5+2+1.5=9

Answer:

9

Step-by-step explanation:

A simpler way of doing this is using pick's theorem.

Pick's theorem is:

i + b/2 - 1 which translates to: interior points + boundary points/2 - 1

Interior points: There is 5 interior points

Boundary points: There is 10 boundary points

 ---> 5 + 10/2 - 1

               = 9

Answer:

72cm2 (2 means squared)

Step-by-step explanation:

you add all the sides once you get the are for each side. To do that you multiply l(w)

Answer:

The surface area of the rectangular prism is [tex]136cm^{2}[/tex]

Step-by-step explanation:

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

What is rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.

Given, length l= 7cm

          breadth b=6cm

          height h=2cm

The surface area of the cuboid is,

=2(lb+bh+lh)

=2(7*6+6*2+2*7)

=2(42+12+14)

=2*68

=136 [tex]cm^{2}[/tex]

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Answer: I don't really know exactly what you are asking for but does this help? 8x4y-6

Step-by-step explanation:

Distribute the 1/2 to each of the factors. If you need me to explain further please let me know :)

Answer:  8x⁸y - 6

Step-by-step explanation:

[tex](16x^8y - 12) \times \bigg(\dfrac{1}{2}\bigg)\\\\\\=\dfrac{16x^8y}{2}-\dfrac{12}{2}\\\\\\=8x^8y-6[/tex]

Answer:

Step-by-step explanation:

[tex](4x + 2)(5 {x}^{2} + 10x + 3)[/tex]

Multiply the second parentheses by each term from the first parentheses

[tex]4x( {5x}^{2} + 10 x + 3) + 2(5 {x}^{2} + 10x + 3) [/tex]

Distribute 4x through the parentheses

[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 2(5 {x}^{2} + 10x + 3)[/tex]

Distribute 2 through the parentheses

[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 10 {x}^{2} + 20x + 6[/tex]

Collect like terms

[tex]20 {x}^{3} + 50 {x}^{2} + 32x + 6[/tex]

Hope this helps...

Best regards!!

Answer:

15/32

Step-by-step explanation:

5/8 ÷ 1 1/3

Change to an improper fraction

5/8 ÷ ( 3*1+1)/3

5/8 ÷ 4/3

Copy dot flip

5/8 * 3/4

15/32

Answer:

1296 males

Step-by-step explanation:

Males in Weston: 4320*0.45 = 1944

Married Males in Weston: 1944*2/3 = 1296

Answer:

Answer is 1296 (For me if I add commas it would mark my answer wrong)

Step-by-step explanation:

Answer:

Eric will win if Nita chooses 7 and he chooses and number that is less than 17 (ex. n<17).

Nita will win if Eric chooses 17 and she chooses a number less than 8 (ex. n<8).

Answer:

I dont quite understand the inequalities, I think it might be the way is shows up, bit the first graph represents x equals all numbers less than 6. The second graph is all numbers greater than 6. Third graph is all numbers less than 7. forth graph is all numbers greater than 7.

Step-by-step explanation:

If you want to give me a better representation of the inequalities, I would be more than happy to help you more!! :)

Hope this helps!!

Answer:

arccsc(x)=1/cos(x)

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

Answer:

it's too late it's been 2years

Answer:

[see below]

Step-by-step explanation:

Using 'd' as per drink, and 't' as the total cost:

Golden Corral charges 11 dollars for the buffet.  ( + 11 )

They also charge 1 dollar for each drink This could be represented by ' 1d' or 'd'.

So, the Golden Corral deal can be represented by:

t = d + 11

The Western Sizzlin restaurants charge 9 dollars for a buffet. ( + 9 )

They also charge 2 dollars for the drinks. This is represented by '2d'.

The Western Sizzlin deal can be represented by:

t = 2d + 9

Graphing the equations together, Golden Corral's line is less steeper then Western Sizzlin's line.

Therefore, Golden Corral is cheaper and should be the best deal compared to Western Sizziln'.

Answer:

a. 0.2061*2000 apples = 412.20 or about 412 apples.

b. 0.2389*2000 apples = 477.8 or about 478 apples.

Step-by-step explanation:

We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).

The parameters for this normal distribution are (without using units):

The mean, [tex] \\ \mu = 8.2[/tex].

The standard deviation, [tex] \\ \sigma=2.8[/tex]

We need to use z-scores, given by:

[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]

For a diameter smaller than 5.9cm, we have:

[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]

The value for z:

[tex] \\ z = -0.82142 \approx -0.82[/tex]

Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).

Then, P(z<-0.82) = 0.2061

How many apples would have a diameter: a) smaller than 5.9cm?

The answer is 0.2061*2000 apples = 412.20 or about 412 apples.

How many apples would have a diameter: b) larger than 10.2cm?

We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.

[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]

[tex] \\ z = 0.71428 \approx 0.71[/tex]

Then, P(z<0.71) = 0.7611

But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):

P(z>0.71) = 1 - P(z<0.71)

P(z>0.71) = 1 - 0.7611

P(z>0.71) = 0.2389

The answer is 0.2389*2000 apples = 477.8 or about 478 apples.

Answer:

Number of students van can carry = 11

Number of students bus can carry = 41

Step-by-step explanation:

Given the following :

HIGH SCHOOL A:

Number of students = 184

Number of vans(v) = 13

Number of buses(b) = 1

Mathematically,

13v + 1b = 184 - - - - (1)

HIGH SCHOOL B:

Number of students = 520

Number of vans(v) = 10

Number of buses(b) = 10

Mathematically,

10v + 10b = 520 - - - - (2)

Multiply (1) by 10 and (2) by 1

130v + 10b = 1840 - - - (3)

10v + 10b = 520 - - - (4)

Subtract (4) from (3)

120v = 1320

v = 11

Substitute v = 11 into (1)

13(11) + 1b = 184

143 + b = 184

b = 184 - 143

b = 41

Number of students van can carry = 11

Number of students bus can carry = 41

Answer:

c=8

Step-by-step explanation:

do find c, we do 64/8=8. We can check our work by doing 8*8 which is in fact 64

Answer:

Step-by-step explanation:

Let the numbers be x and y

Sum = x + y

Sum = one number + 20

[tex]x + y = x + 20[/tex]

Cancel equal terms on both sides of the equation.

[tex]y = 20[/tex]

Again,

Finding another number

Sum = other number + 18

[tex]x + y = y + 18[/tex]

Cancel equal terms on both sides of the equation

[tex]x = 18[/tex]

Hence, The two numbers are 18 and 20.

Hope this helps..

Best regards!

Answer:

a horse running around a race track and

a person running down a field to score a touchdown

DONT HAVE ENOUGH INFORMATION

the two graphs are proportional to time and

a dog jumping at a constant speed for 20min and

a truck passing through 4 cities at a constant speed are not proportional to time because they are constant

Step-by-step explanation:

Answer:

1)2/7

2) 500

3) 1,000

hope you like this answer

stay at home stay safe

keep rocking

Answer:

What's the question?

Step-by-step explanation:

Answer:

f(x) = 16 * ( 3/4) ^x

Step-by-step explanation:

y = a ( b) ^x

where a is the initial value and b is the growth rate

We know when x =0 y = 16

and when x = 1 y = 12

16 = a * b^0

16 = a * 1

a = 16

So the initial value is 16

12 = 16 * b^ 1

Divide each side by 16

12/16 = b^1

3/4 = b

y = 16 * ( 3/4) ^x

Greetings from Brasil...

In the statement are given 2 moments:

X = 0 ⇒ F(0) = 16

and

X = 1 ⇒ F(1) = 12

F(X) = a . bˣ

F(0) = a . b⁰

16 = a . 1

a = 16

F(X) = a . bˣ

F(1) = a . b¹         a=16  calculated above

12 = 16 . b

b = 12/16

b = 3/4 = 0,75

so,

Answer:

No solution.

Step-by-step explanation:

[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]

There is no solution to the equation.

[tex]\text{Molly used the addition property of equality}\\\\\text{In the equation shown in the question, you can see that Molly is trying}\\\text{to find the value of "d"}\\\\\text{In order to do this, she must get the "d" variable by itself}\\\\\text{To do this, she adds "3d" to both sides to get the "d" variable on one side}\\\\[/tex]

Answer:

[tex]\boxed{66.67\%}[/tex]

Step-by-step explanation:

[tex]\frac{60}{90}[/tex]

[tex]=\frac{2}{3}[/tex]

[tex]\approx 66.67\%[/tex]

60 is 66.67 percent of 90.

66,(6) %

90 ............... 100%

60 ....................X%

X = 60×100/90 = 600/9 = 66,(6) %

Answer:

24 feet cubed

Step-by-step explanation:

When comparing the volume formula for a cone and the volume formula for a cylinder, a cone is 1/3 of a cylinder. Therefore, divide 72 by 3 to get the volume of a cone with the same base and height. It would not be 24 pi feet cubed because 72 feet cubed is already multiplied by the pi.

Answer:

24 feet cubed

Step-by-step explanation:

Volume formula:

The ratio:

Plugging in the value of cylinder to find the value of cone:

24 feet cubed is the best estimate

Answer:

The bearing from Atlanta to Canada is 220 degrees

Step-by-step explanation:

Given

Represent Canada with C and Atlanta with A

Bearing from C to A = 040

Required

Determine the bearing from A to C

This concept is referred to as Back Bearing and it's calculated as follows.

Because the front bearing is less 180 (040, to be precise), we have to add it to 180 to get the back bearing;

Hence,

[tex]A\ to\ C\ =\ 180\ + C\ to\ A[/tex]

Substitute 040 for C to A

[tex]A\ to\ C\ =\ 180\ + 040[/tex]

[tex]A\ to\ C\ =\ 220[/tex]

Hence, the bearing from Atlanta to Canada is 220 degrees

Answer:

$3.50

Step-by-step explanation:

23.6÷4=5.90   5.90-2.40=3.50

Answer:

$3.50

Step-by-step explanation:

cost of beads - $2.40

cost of pendant - x

2.40(4) + 4x = $23.60

9.60 + 4x = $23.60

4x = $14

x = $3.50

Each pendant costs $3.50.

Hope this helps.

Answer:

7/13

Step-by-step explanation:

add all outcomes: 8 + 6 + 5 + 7 = 26

landing yellow or orange: 8 + 6 = 14

14/26 simplified 7/13

The Experimental probability of the spinner landing on yellow or orange is 7/13.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Yellow= 8

Orange = 6

Red= 5

Blue = 7

Total = 8+6+5+7= 26

So, the Experimental probability of the spinner landing on yellow or orange.

= 8/26 + 6/16

= 14/16

= 7/13

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The angle ABC is best described as inscribed angle.

Chord of a circle is defined as the line segment that is formed by joining two points which are on the circle.

Diameter is the largest chord.

Given is a circle.

There are two chords which are defined on the circle as AB and BC.

The angle between the two chords is marked as 44°.

Obtuse angle is the angle which is greater than 90°.

Central angle is the angle formed at the center of the circle.

Vertical angle is formed vertically to another angle.

Inscribed angles are those which are formed inside the circle when two chords intersect on the circle.

So ∠ABC is an inscribed angle.

Hence the angle ABC is an inscribed angle.

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Answer:

-3

Step-by-step explanation:

To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.

Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.

I hope this helped.