Hal's business made $500,000 last year. This year, his business made $650,000. What is the percentage difference? [?]%​

Answer:

30

Step-by-step explanation:

The sample size should be 30 for the given confidence interval of 90%.

Sample size is calculated as follows:

Sample size = Z score ^2 * standard deviation * [ 1 - Standard deviation] / margin of error^2

For the given 90% confidence level, the sample size calculated as;

Sample size = 1.645^2 * 2.3 [1 - 2.3] / 0.01^2

sample size = 30.

9514 1404 393

Answer:

Step-by-step explanation:

a) (s+r)(x) = s(x) +r(x) = (x+1) +3x²

  (s+r)(x) = 3x² +x +1

__

b) (s-r)(x) = s(x) -r(x) = (x +1) -(3x²)

  (s-r)(x) = -3x² +x +1

__

c) (s·r)(-3) = s(-3)·r(-3) = (-3+1)·(3(-3)²) = (-2)(27)

  (s·r)(-3) = -54

Answer:

x = 8

y = 1

Step-by-step explanation:

  x + y = 9

- ( x - y = 7)

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

      2y = 2

        y = 2/2

        y = 1

   x + y = 9

x + ( 1 ) = 9

         x = 9 - 1  

         x = 8

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the function is not given. So, I will make an assumption.

A quadratic function is represented as:

[tex]f(x) = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], then the function has a minimum x value

E.g. [tex]f(x) = 4x^2 - 5x + 8[/tex] ------ [tex]4 > 0[/tex]

Else, then the function has a maximum x value

E.g. [tex]f(x)= -4x^2 -5x + 8[/tex] ---- [tex]-4 < 0[/tex]

The maximum or minimum x value is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

For instance, the maximum of [tex]f(x)= -4x^2 -5x + 8[/tex] is:

[tex]x = -\frac{-5}{2*-4}[/tex]

[tex]x = -\frac{5}{8}[/tex]

So, the maximum of the function is:

[tex]f(x)= -4x^2 -5x + 8[/tex]

[tex]f(-\frac{5}{8}) = -4 * (-\frac{5}{8})^2 - 5 *(-\frac{5}{8}) +8[/tex]

[tex]f(-\frac{5}{8}) = 9.5625[/tex]

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are  

Sample size = n = 1200  

x = 850  

Sample proportion is  

[tex]\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083[/tex]  

We have to construct 99% confidence interval for the population proportion.  

Formula Used:  

[tex](\hat{p}-E , \hat{p}+E)[/tex]  

Here E is a margin of error.  

[tex]E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]  

Zc = 2.58  

[tex]E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339[/tex]  

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

                                            = ( 0.6745 , 0.7422).

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

Answer:

Range { 2,3,4,5}

Step-by-step explanation:

The range is the output values

Range { 2,3,4,5}

you have to read the bottom link for the answer key

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

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

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

Step-by-step explanation:

Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.

a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as

[tex]7.2×10^{-11}[/tex]

The exponent of 10 is a negative number because you moved the decimal point to the right.

b) Similarly, you have to move the point 9 times to the right so the answer is

[tex]9.5×10^{-9}[/tex]

Answer:

y = 7x - 140

The slope is 7

The y-intersept is -140

= (7, -140)

Step-by-step explanation:

y + 14 = 7(x - 18)

y + 14 = 7x - 126

y =7x - 126 - 14

y = 7x - 140

Answer: [tex]405.7\ ft[/tex]

Step-by-step explanation:

Given

After 11 sec, diver is 69 feet below sea level

after 28 s , it is 195 feet

rate of traveling

[tex]\Rightarrow u=\dfrac{195-69}{28}\\\\\Rightarrow u=4.53\ ft/s[/tex]

after 1.5 minutes, that is 90 s, diver must have traveled

[tex]\Rightarrow d=4.53\times 90\\\Rightarrow d=407.7\ ft[/tex]

Answer:

7299 feet

Step-by-step explanation:

At 11 second the depth is 69 feet

At 28 seconds the depth is 195 feet  

Let the initial velocity at the time t = 0 is u.

Use second equation of motion

[tex]s = u t +0.5 at^2\\\\69 =11 u + 0.5 a\times 11\times 11\\\\69 = 11 u + 60.5 a..... (1)\\\\195 = u (28 -11) +0.5 a\times (28-11)^2\\\\195 = 17 u + 144.5 a .....(2)[/tex]

By soling (1) and (2)

a = 1.73 m/s^2, u = 3.25 m/s

So, the distance in 1.5 minutes is

h = 3.25 x 1.5 x 60 + 0.5 x 1.73 x 1.5 x 1.5 x 60 x 60

h = 292.5 + 7006.5 = 7299 ft

Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

Answer:

81 pi cm^2

or approximately 254.34 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (9)^2

A = 81 pi

Using 3.14 as an approximation for pi

A = 81 (3.14)

A =254.34 cm^2

Answer:

81pi cm^2

Step-by-step explanation:

formula : pi*r^2

pi*9^2

pi*81

Answer:

hope it helps you.......

Answer:

The unidentified length is 13

Step-by-step explanation:

To solve this we have to use the Pythagorean Theorem

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c[/tex]

Answer:

B 3360

Step-by-step explanation:

Area of Rectangle = Length X Width

120 X 28

= 3360 cm

Answered by Gauthmath

Answer:

a. The free throw percentage for the Lions is of 62.5%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

g. Lions

Step-by-step explanation:

a. What is the free throw percentage for the Lions?

10 out of 16, so:

10*100%/16 = 62.5%.

The free throw percentage for the Lions is of 62.5%.

b. What is the free throw percentage for the Eagles?

10 out of 27, so:

10*100%/27 = 37.04%

The free throw percentage for the Eagles was of 37.04%.

c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?

25 + 12 = 37 out of 50 + 16 = 66. So

37*100%/66 = 56.01%.

The field goal percentage for the Lions was of 56.01%.

d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?

9 + 12 = 21 out of 44 + 17 = 61. So

21*100%/61 = 34.43%

The field goal percentage for the Eagles was of 34.43%.

e. How many points did the Lions score?

10 free throws, 25 two's and 12 three's. So

[tex]10 + 25*2 + 12*3 = 96[/tex]

The Lions scored 96 points.

f. How many points did the Eagles score?

10 free throws, 9 two's and 12 three's. So

[tex]10 + 9*2 + 12*3 = 64[/tex]

The Eagles scored 64 points.

g. Which team won the basketball game?

The Lions scored more points, so they won.

Answer:

avaavavavavav

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

50: 2

9.2: x

therefore x = 50*9.2 /2 = 230

i think

Answer:

6x^2-23x+20

Step-by-step explanation:

i think the expanded form of that equation is equal to it.

(3x-4)(2x-5)

3x(2x-5)-4(2x-5)

6x^2-15x-8x+20

6x^2-23x+20

I hope this helps and sorry if it's wrong

Answer:

Amount of members = 9

then we multiply the different probabilities of the trustess which is 4, so we do 9 x 4= 36

Step-by-step explanation:

So there are 36 different ways

answer: 36 different ways

Answer:

Pls be specific with your question

Answer:

0.81 = 81% probability that at most 1 watch in the sample is defective.

Step-by-step explanation:

For each watch, there are only two possible outcomes. Either it is defective, or it is not. The probability of a watch being defective is independent of any other watch, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

4% of watches produced at a particular factory are defective.

This means that [tex]p = 0.04[/tex]

20 watches made at this factory are randomly selected

This means that [tex]n = 20[/tex]

What is the probability that at most 1 watch in the same sample is found to be defective?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.04)^{0}.(0.96)^{20} = 0.442[/tex]

[tex]P(X = 1) = C_{20,1}.(0.04)^{1}.(0.96)^{19} = 0.368[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.442 + 0.368 = 0.81[/tex]

0.81 = 81% probability that at most 1 watch in the sample is defective.

9514 1404 393

Answer:

  192 cm²

Step-by-step explanation:

The total surface area is the sum of the two triangular base areas and the three rectangular lateral face areas.

  SA = 2(1/2)(6 cm)(8 cm) + (6 cm +8 cm +10 cm)(6 cm) = 192 cm²

The surface area of the figure is 192 square centimeters.

Step-by-step explanation:

you're going to have to set up two expressions since it's an absolute value problem

Answer:

SAS

Step-by-step explanation:

AB=DC which is one side

angles ABC and DCB are both right angles so they are equal

BC=BC because they are the same line segment

and since the congruent angles are between the congruent sides, its SAS

Answer:  [tex]6 \frac{1}{2}[/tex]

This is the same as writing 6 & 1/2 or 6  1/2

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

Explanation:

Notice that 13/2 = 6.5

So we can have 6 full vials, plus a bit left over. The leftover bit is 0.5 which converts to 1/2

So 6.5 in decimal form converts to the mixed number [tex]6 \frac{1}{2}[/tex]

This mixed number does not mean 6 times 1/2. It means 6 whole vials plus another 1/2 a vial. The notation is probably a bit confusing. It might be easier to say [tex]6 + \frac{1}{2}[/tex], but the drawback is now things are a bit clunky.

On a keyboard, we could write [tex]6 \frac{1}{2}[/tex] as 6 & 1/2 or as 6  1/2. The spacing is important to separate out the whole and fractional parts.

To be perfectly honest, I don't like the notation 6  1/2 because to me it seems too vague, and it might be mistaken for 61/2. I prefer the 6 & 1/2 notation more since it's more descriptive and we wouldn't have a mix-up. But be sure to type in the answer in the format your teacher wants.

Answer:

39

Step-by-step explanation:

1. (2(4)-5)(2(4)+5)

2.(3)(13)

3.39

Answer:

Step-by-step explanation:

This is a difference of squares question. You should 64 = 25 = 39 Let's see if that happens.

Difference of squares

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

4(4)^2 - (5)^2

64 - 25 = 39

Now do the question exactly as it is written.

(2*4 - -5)(2*4 + -5)

(8 +5)(8 - 5)

3 * 13

39

They really do give the same answer.

Answer:

V =192 m^3

Step-by-step explanation:

The volume of a cuboid is

V = l*w*h  where l is length w is width and h is height

V = 4*6*8

V =192 m^3