Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.

Answers

Answer 1

Answer: 6

Step-by-step explanation:

Ok lemme actually format this set

[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]

Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just

[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]

which has cardinality [tex]\boxed{6}[/tex] .


Related Questions

Dimensional analysis

Answers

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]

The regular price of a refrigerator is $877. At a discount store, the price is $523. How much money can
Lena save by buying the refrigerator at the discount store?

Answers

Answer:

$345 is how much Lena can save

Step-by-step explanation:

Select the correct answer.
Solve the following inequality.

-8 < 3x + 1 < 7

A.

B.

C.

D.

Answers

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2

Problem 1
Each scholar in fifth grade participates in one of the three extracurricular activities: sports,
chess, or art.
2/5 of the fifth grade scholars participate in sports
1/4 of the fifth grade scholars participate in chess
What fraction of the fifth grade scholars participate in art?

Answers

Answer:

7/20 participate in art.

Answer:

7/20 hcjauwauhfehhfieafuewaueiwavibiurbviubwibvebaiubj

The bed in the bedroom of Melanie's dollhouse is 4 inches long. The bed in Melanie's real bedroom is 6 feet long.

What is the unit rate that compares the length of the bed in the bedroom to the length of the bed in the dollhouse?

Enter your answer, as a mixed number in simplest form, by filling in the boxes.

Answers

Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

(I am giving branlest) (plz help only if you understand )


Solve five ninths plus four sixths.

sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths

Answers

Answer:

hey mr. one eyed ghoul

Step-by-step explanation:

Identify the figure and denote it by its appropriate symbol
ОА.
Half Line, AB
OB.
Ray
AB
O C. Line, AB
OD
Line Segment AB

Answers

B: ray
Rays are a linear formation that start at a point and continue forever in a direction. The photo shows a point on one end, and an arrow on the other indicating that it starts at the point and continues forever past the arrow.

The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)

Answers

Answer:63

Step-by-step explanation:

Took the test

Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

What is the Line of Best Fit?

The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.

Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.

y = 61 + 2

y = 63

Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

Learn more about line of best fit on:

https://brainly.com/question/17143626

Can someone pls help me out with this the best I can do is 50 points

Answers

All of the questions are filled.



Sorry i cannot help you

Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.

a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?

b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?

c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?

Answers

Using the exponential distribution, it is found that there is a:

a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:  

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = e^{-\mu x}[/tex]

In this problem, the mean is of 3.4 days, hence, the decay parameter is:

[tex]\mu = \frac{1}{3.4}[/tex]

Item a:

[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]

0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

Item b:

[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]

[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]

[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]

0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

Item c:

[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]

0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

A similar problem is given at https://brainly.com/question/17039711

The circumference of a circle is 28.888 centimeters. What is the circle's radius?
Use 3.14 for pi

Answers

Answer:

4.6

Step-by-step explanation:

28.888 / 3.14 = 9.2

9.2 / 2 = 4.6

please answer numbers 1-5 i need them soon

Answers

Answer:

Step-by-step explanation:

1) 1. AB ≅ CD                 Given

 2. AD ≅ CB                  Given

 3 . BD ≅ BD                  Reflexive property

 4. ΔABD ≅ ΔCBD         S S S congruent

2) 1. GH // JK                  Given

   2. ∠HGJ ≅∠KJG        Given

   3. GH ≅ JK                 Given

  4 . GJ ≅ GJ                    Reflexive property

   5. ΔHGJ ≅ ΔKJG         S A S congruent

3) ΔJNK ≅ ΔMNL             SSS congruent

  JK = ML                           CPCT

 JK = 160 ft

4) ΔRPS ≅ ΔTQS                A A S congruent

  RS ≅ TS

RS = 85 m

5)ΔDEF ≅ΔGHJ

 GJ  = DE       {CPCT}

6x - 13 = 3x + 2

6x = 3x + 2 + 13

6x = 3x + 15

6x - 3x = 15

3x = 15

 x = 15/3

x = 5

HJ = 5x = 5*5 = 25

9.2 less than 3 times a number is the same as 21 1/4

Answers

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

10.15

Step-by-step explanation:

I took the K12 test

Describe how the point-slope formula is useful when writing the equation of a trend line

Answers

Step-by-step explanation:

if you observe the graph the y values increase as the x value increase.

so it has a possitive association.

if the value of y increase as the value of the x increase then data has positive association.

Solve for x
(x+16) over 3 = 3x



a. X=-7
b. X=-13
c.x= 8
d. X= 2

Answers

Answer:

X=8

Step-by-step explanation:

8+16=24

and 3(8)=24

Add 1, multiply by 2. 2 First

Answers

Answer:

2+1×2=6

6+1×2=14

14+1×2=30

And so on

Solve for C:
Spam: deiodhwidweiudjegydjwe

Answers

Answer:

[tex]C=\frac{5F-160}{9}[/tex]

Step-by-step explanation:

Let's solve for C.

[tex]F=\frac{9C}{5}[/tex]

Step 1: Flip the equation.

[tex]\frac{9}{5} C+32=F[/tex]

Step 2: Add [tex]-32[/tex] to both sides.

[tex]\frac{9}{5} C+32+-32=F+-32[/tex]

[tex]\frac{9}{5}C=F-32[/tex]

Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].

[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]

[tex]C=\frac{5F-160}{9}[/tex]

Answer:

[tex]C=\frac{F-160}{9}[/tex]

In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?

Answers

Using the concept of place value, the digit 4 is 200 times greater than the digit 2.

Given the number :

4325

The digit 2 is in the tens place = 2 × 10 = 20

The digit 4 is in the thousand place = 4 × 1000 = 4000

The number of times greater can be obtained thus :

4000 / 20 = 200

Hence, the digit 4 is 200 times greater than the digit 2.

Learn more : https://brainly.com/question/14760328

Solve the inequality for u 20>u+8

Answers

Answer:

u < 12

Step-by-step explanation:

20 > u + 8 ( subtract 8 from both sides )

12 > u , then

u < 12

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!

We can solve this equation in one step, which is Algebra, I'll start solving the problem now.

Algebra

We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.

[tex]20>u+8\\12>u[/tex]

As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.

We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.

We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:

[tex]20>11+8?\\20>19[/tex]

We've proven that its correct.

So our final answer is [tex]u<12[/tex].

Cheers!

Becca hikes 9/10 mile in 5/3 hour.

Answers

Answer:

(9/10 mile)/(5/3 hour) = 27/50 miles/hour

Step-by-step explanation:

If you are looking for the speed, then speed = distance/time

speed = (9/10 mile)/(5/3 hour)

speed = 9/10 ÷ 5/3 miles/hour

speed = 9/10 × 3/5 miles/hour

speed = 27/50 miles/hour

Answer:

1. 9/10/3/5

2. 3/2

Step-by-step explanation:

Got it correct on iReady.

Rationalize the denominator and simplify the following expression:

fraction numerator 4 plus square root of 2 over denominator 2 space minus square root of 2 end fraction

Answers

let's recall that the conjugate of say a + b is simply the same thing with a different sign in between, namely a - b, so let's use the conjugate of the denominator and multiply top and bottom by it.

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{4+\sqrt{2}}{2-\sqrt{2}}\cdot \cfrac{2+\sqrt{2}}{2+\sqrt{2}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{\underset{\textit{difference of squares}}{(2-\sqrt{2})(2+\sqrt{2})}}\implies \cfrac{(4+\sqrt{2})(2+\sqrt{2})}{2^2-(\sqrt{2})^2}[/tex]

[tex]\cfrac{8+4\sqrt{2}+2\sqrt{2}+(\sqrt{2})^2}{4-2}\implies \cfrac{8+4\sqrt{2}+2\sqrt{2}+2}{2}\implies \cfrac{10+6\sqrt{2}}{2} \\\\\\ \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(5+3\sqrt{2})}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{5+3\sqrt{2}}[/tex]

which one of the congruency statements are true?

Answers

Answer:

line segment BC=line segment XY

Step-by-step explanation:

The last choice :)

What fraction of an hour is 21 minutes in simplest form

Answers

7/20

Step-by-step explanation:

21 ÷ 3 = 7

21 - 1 = 20

7/20

A company borrows $50,000 for 8 years at a simple interest rate of 13.5%. Find the interest paid on the loan and the total amount paid

The interest paid on the loan is $

The total amount paid is $

Answers

Answer:

13.5%×50000=6750

this is interest paid on loan 6750

50000+6750=56750

The total amount paid

[tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]

PLEASE HELP!!

Answers

d=5.


Hope this helps!! :)

The additive inverse of [tex]a-b[/tex] is:

A. a + b
B. -a + b
C. -a - b
D. [tex]1/a-b[/tex]

Answers

Additive inverse refers to any number that when added to the original number gives the result as zero.

[tex]a-b +AI = 0\\\\\implies AI = b-a = -a+b[/tex]

can someone help me with this please?




Answers

Answer:

Okay, Please copy paste the question. I cannot see.

Step-by-step explanation:

A washer and dryer cost 809. The washer is 59 dollars more than the dryer how much does the dryer cost

Answers

Answer:

The dryer cost $350.

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

809 - 59 = 750

750 / 2 = 375

HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.​​

Answers

Answer:

3.75

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

Hope this helps

Have a great and blessed day :)

Susie catches 15 butterflies and lets 6 butterflies go for three days in a row

Answers

What is she doing with the butterflies she kept…..

Answer:

Sorry don't report pls I need the points

Step-by-step explanation:

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