19. The average yearly income for 28 married couples living
in city C is $58,219. The standard deviation of the sample is
$56. Find the 95% confidence interval of the true mean.
20. The number of unhealthy days based on the AQI

The effective cost per share for your shares based on the information given will be $24.50.

It should be noted that an effective cost per share simply means the exchange of a common stock equivalent when a share is sold.

In this situation, the stock closed at $24.50 at expiration and the option was assigned. Therefore, the effective cost per share for your shares is $24.50

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The initial value and base value are 12 and 4/3. The function is a growing function. The domain and the range of the function are real numbers.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The exponential function is given below.

f(x) = 12(4/3)ˣ

Then the initial value of the exponential function is 12.

Then the base value of the exponential function is 4/3.

If the base value if greater than 1 then the function is a growing function.

The domain and range of the function are real numbers.

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Answer:

Bag of tulips = $ 7

Step-by-step explanation:

Given  :

12d + 6t = 198

6d + 7t = 127         <====== Multiply this equation by -2

-12d - 14t = -254      <==== now add this one to the top equation ( this will  eliminate 'd' )

   -8t = - 56

   t = 7  dollars

Answer:

2000 kg.

Step-by-step explanation:

Density = mass / volume

-->  mass = density * volume

-->  mass =  40 * 50

-->  mass = 2000 kg.

At first glance, you'll notice that the line is going from left to right which tells us that the slope will be negative therefore the bottom option can be eliminated.

Knowing that the formula for slope is rise over run, you'll notice that the lines rises by -8 and runs by 3 which means that the slope would be -8/3.

This leaves us a final answer of  [tex]y=-\frac{8}{3}x-4[/tex]

Answer:

if angle 1 is 127

then angle 5 is 635

Answer:

[tex]y=3\cos(\frac{8}{7}x)+2[/tex]

Step-by-step explanation:

Recall

We are given that the amplitude is [tex]a=3[/tex] and that the equation of the midline is [tex]d=2[/tex]. Since we know the period to be [tex]\frac{7\pi}{4}[/tex], we need to solve for [tex]b[/tex] by setting up the equation [tex]\frac{7\pi}{4}=\frac{2\pi}{|b|}[/tex]:

[tex]\frac{7\pi}{4}=\frac{2\pi}{|b|}\\\\7\pi b=8\pi\\\\b=\frac{8}{7}[/tex]

Hence, our cosine function will be [tex]y=3\cos(\frac{8}{7}x)+2[/tex]. See the attached graph for a visual.

Answer:

7.5

Step-by-step explanation:

7.5

[tex] \sqrt{30} [/tex]

- 28

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

20

- 20

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

0

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

(Not a square root! I just used it to show how its being divided. And also on the left of the '30' is a 4, so 30 divided by 4 and so on.)

Sorry if the answer looks messy!

Answer:

15/2

Step-by-step explanation:

If you need to simplify it/it can't be a decimal then 15/2 would be your answer.

Work:

30/4 = 7.5 (decimal)

15 times 2 = 30 (15 goes into 30 twice evenly)

15/2 is the simplest you can make it without it being uneven.

15/2

Answer: 20%

Step-by-step explanation:

Answer: x = 6

Step-by-Step Explanation:

=> -9x + 2x + 32 = -10

= -7x + 32 = -10

= -7x = -10 - 32 = -42

=> x = -42/-7 = 42/7 = 6

Therefore, x = 6

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

-9x+2x+32=-10. what is x?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer \& How to solve:-}}}[/tex]

   When solving an equation, we need to make sure all variables are on the

    left-hand side, and all numbers are on the right-hand side.

    There are numbers on both sides, so we need to move all of them to the right.

  [tex]\bold{-9x+2x=-10-32}[/tex]

[tex]\bigstar[/tex] On simplification,

        [tex]\bold{-9x+2x=-42}[/tex]          Next, combine like terms (-9x+2x).

[tex]\bigstar[/tex] On further simplification,

   [tex]\bold{-7x=-42}[/tex]                Next, divide by -7 on both sides.

[tex]\bigstar[/tex] Which results in

[tex]\bold{x=6}[/tex]

It's always a good idea to make sure the solution is correct.

We can check that by substituting the value of x (x=6) in lieu of x (into the original equation) and seeing whether or not we have a true statement:-

[tex]\bold{-9(6)+2(6)+32=-10}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\bold{-54+12+32=-10}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\bold{-42+32=-10}[/tex]

[tex]\dagger[/tex] Which results in

[tex]\bold{-10=-10}[/tex]

LHS=RHS, so our solution is indeed correct.

So we conclude that [tex]\boxed{\bold{x=6}}[/tex].

[tex]\rule{300}{2}[/tex]

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

a. What is the probability of the number being between 2-7?

Step-by-step explanation:

i just have a feeling

The probability of the events are given as 0.6 and 0.2 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

(a) The total number of elements in sample space are 10.

Then, the probability of getting numbers from 2 - 7 is given as,

P(numbers 2-7) =  Number of favorable outcomes ÷ Total outcomes

⇒ 6 ÷ 10 = 0.6

(b) The multiples of 5 are given as 5 and 10

Then, P (Multiple of 5) = Number of favorable outcomes ÷ Total outcomes

⇒  P (Multiple of 5) = 2/10 = 0.2

(c) The complement of selecting one element represents the selection of all remaining elements in the sample space.

Thus, complement of 9 represents selection of all the remaining numbers  from 1 to 10.

(d) For the probability of 3/10, the question can be asked as to find the probability of selecting numbers from 1 to 3.

Hence, the probabilities of the given events can be found by taking the ratio of favorable outcomes to the total outcomes.

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Answer:

  4

Step-by-step explanation:

The number each friend will get is the total number divided by the number of friends:

  (20xy -10x²)/5x = (4y -2x) = 2(2y -x)

__

For x=6 and y=4, the number each friend will get is ...

  2(2×4 -6) = 2(2) = 4

Mary will give 4 sweets to each friend.

Answer:

y = x + 1

Step-by-step explanation:

Multiply the original by -Ax to find the perpendicular, then the point it lines up with on the y-intercept is so because there is a 1 difference between 5 and 6

Answer:

60 peanuts and 24 raisins.

Step-by-step explanation:

First work out the divisor which is  5 + 2 = 7.

84 / 7 = 12.

So  there are 12 * 2= 24 raisins and 5 * 12 = 60 peanuts.

Answer:

If the lines area parallel: x = 69 degrees

Step-by-step explanation:

Answer:

x equals 49°.

outside exterior angle

42 if the base is 6 and the 7 is height, while if the base is 7 and the 2 is height the answer is 12 , then , if the 2 is base and then the 6 is height the answer is 12 again

Step-by-step explanation:

thats all

Answer:

There are 2.5 pints in 1.25 quarts

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

d = 1/2 at^2      sub in d = ?      a =  5      t =  4

d = 1/2 * (5)(4)^2

d = 40 feet

Step-by-step explanation:

when picking (ahem, buying) a soccer ball, there are 75 total possibilities.

the chance to pick a bad one is then

4/75 = 0.053333333...

now we are buying 3 balls out of the 75.

how many possible options do we have ?

picks cannot be repeated, and the sequence does not matter, so we need combinations :

C(75,3) = 75! / (3! × (75-3)!) = 75×74×73/(3×2) = 25×37×73 =

= 67,525 possible groups of 3 balls.

from all these possibilities, how many have 2 good and 1 bad ball ?

as many as options we have to pick 2 balls out of 71 and 1 out of 4 :

C(71,2) × C(4,1) = 71! / (2 × (71-2)!) × 4! / (1 × (4-1)!) =

= 71×70/2 × 4 = 71×70×2 = 9,940 possibilities

so, the total probability to buy 2 good and 1 bad ball is

9940/67525 = 1988/13505 = 0.147204739...

Answer:

3.46 because taking 1.05 minutes is 5.00 and 60 second make one hour

Answer:

The answer would be 0.83 repeated decmal

Step-by-step explanation:

All you got to do is divide the two numbers and it'd give you 0.83 repeated decmal

Answer:

Step-by-step explanation:

22.36067977

Answer:

1 5/6 yards of fabric.

Step-by-step explanation:

4 1/3 = 13/3

2.5 = 5/2

13/3 - 5/2 = [tex]\frac{26-15}{6} = 11/6[/tex]

Answer:

11.1%

Step-by-step explanation:

buy 100 shirts at 2700

each shirt = 2700/100 = $27

sell at $30 each

mark up = (30-27)/27 = 3/27 = 1/9 = 11.1%

Answer:

300 profit

Step-by-step explanation:

Answer:

4 and 5

Step-by-step explanation:

n + 1 > 4

n > 4 - 1

n > 3

For the set { 1, 2 , 3 , 4, 5 }, 4 and 5 are greater than 3.

Hence, 4 and 5 makes the inequality n + 1 > 4 true.