What is the cardinal number of the set containing all negative integers greater than −8?

Answers

Answer 1

Answer: positive 7

Step-by-step explanation:

Answer 2

Cardinal number of the set containing all negative integers greater than −8 is 7.

What are cardinal number?

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

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Related Questions

7th grade math help me pleasee

Answers

Answer:

death valley<tallahassee | Death valley<westmooreland

Step-by-step explanation:

sorry if this is wrong i dont understand

Answer:

death valley<talahasse.

the negative value of death valley is less than talahasse.

Step-by-step explanation:

a negative number is way lower than a positive number.

find all missing angles in the diagram below
please help ‼️​

Answers

85° is the answer you need

tan theta equals 8 / 15 find sine theta + cos theta / cos theta (1 - cos theta)​

Answers

I guess you have to find

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}[/tex]

given that [tex]\tan\theta=\frac8{15}[/tex].

We can immediately solve for [tex]\sec\theta[/tex]:

[tex]\sec^2\theta=1+\tan^2\theta\implies\sec\theta=\pm\dfrac{17}{15}[/tex]

(without knowing anything else about [tex]\theta[/tex], we cannot determine the sign)

Then we get [tex]\cos\theta[/tex] for free:

[tex]\cos\theta=\dfrac1{\sec\theta}=\pm\dfrac{15}{17}[/tex]

and we can now solve for [tex]\sin\theta[/tex]:

[tex]\sin^2\theta+\cos^2\theta=1\implies \sin\theta=\pm\dfrac8{17}[/tex]

Notice that we have 2*2 = 4 possible choices of sign for either sin or cos.

• If both are positive, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{90}[/tex]

• If both are negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{480}[/tex]

• If sin is positive and cos is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{480}[/tex]

• If cos is positive and sin is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{30}[/tex]

Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5

Answers

Answer:  -6, 7, -8

Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}

Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.

That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}

Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.

You find 1/6 of a case of
batteries. You to divide this
equally between 6 people. How
much of a case does each person
receive?

Answers

Each person receives 1/36th of a case.

A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 7 students' scores on the exam after completing the course: 37,12,12,17,13,32,23 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to one decimal place.

Answers

Answer:

The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Step-by-step explanation:

The net change in 7 students' scores on the exam after completing the course are:

S = {37 ,12 ,12 ,17 ,13 ,32 ,23}

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]

As the population standard deviation is not known, a t-interval will be formed.

Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]

*Use a t-table.

Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]

     [tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]

Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

what type of number is 18.62?

Answers

that is a rational number.

What is the solution to the equation? 13+x=74

x=-6 1/4

x=-6 1/4

x =20

x=21​

Answers

you subtract 13 from both sides, leaving us with:
x = 74 - 13
x = 61. this answer has not been listed, but it is correct.

maybe you made a typo when writing the actual problem down? if not, 61 is the answer.

How do I solve for x?

Answers

Answer:

We will use the thales's theorem to solve for x

Let ? be x

then, the other segment on the same line as x will be 20 - x since the line is 20 units long

According to thales's theorem:

"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"

Hence, we can write that,

9 / 3 = 20-x / x

3x = 20 -  x

4x = 20

x = 5 units

Hence, the length of the line segment marked as '?' is 5 units

Supposed y varies directly as x and y =21 when x=3

Answers

Hey men Is the number 7

Is perpendicular to the line y = 2x + 1
and through the point (-1,5)

Answers

Answer:

-2x+3

Step-by-step explanation:

Using y=mx+b

To make the line perpendicular, you just need to make the slope (m=2) negative. To make it go through (-1, 5), you just need to adjust the b value to raise the graph to a point where it will pass through the point.

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0

Answers

Answer:

Step-by-step explanation:

7. Order the following integers from least to greatest: 0,5,18,100,22

Answers

Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

-4 1/2-(-2 2/3) worked out pls help if someone dosen`t answer i might fail pls

Answers

Answer:

The answer is -11/6

Step-by-step explanation:

Bradley sold at least 127 juices and coffees. He sold nine more juices than coffee ‘s. What is the minimum amount of coffees Bradley could have sold? And do your answer in the box

Please help

Answers

Answer:

59

Step-by-step explanation:

c=coffee, j=juice

c + j >=127

j = c +9

c + c + 9 >=127

2c >=127-9

2c>=118

c>= 59

check by 59+59+9=127

Kyle is drawing a rectangle on the coordinate plane. Which coordinate pair could be Point M, the missing vertex of the rectangle?

Answers

Answer:

Step-by-step explanation:

5,2


Three times a number, increased by one, is between negative eleven and seven. Find all the numbers

Answers

Answer:

7 <  3N+1 < 11

6 < 3n < 10

2 < n < 10/3

Step-by-step explanation:

The required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.


Given that,
Three times a number, increased by one, is between negative eleven and seven. the number is to be determined.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Accoding to the condition let the number be x,
and
-11 < 3x + 1 < 7
-12 < 3x < 6
-4 < x < 2
So the number are -3, -2, -1, 0, anb 1

Thus, the required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

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Please help ❤️ What percent of 24 is 15?

Answers

Answer:

62.5

Step-by-step explanation:

There ya gooo :)

Answer:

62.5%

Here You go

Step-by-step explanation:

Raoul make shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. Raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?

Answers

Answer: The percent markup for a shell necklace = 200%

Step-by-step explanation:

Given: Cost price per necklace = $3.75

Selling price per necklace =  $11.25

Mark up = (Selling price -  Cost price )

= $ (11.25 -3.75 )

=$ 7.5

The percent markup for a shell necklace = [tex]\dfrac{\text{Mark up}}{\text{cost price}}\times100\%[/tex]

[tex]=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%[/tex]

Hence, The percent markup for a shell necklace = 200%

The percent markup for a shell necklace is 200%.

Definition of markup

Markup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.

Calculation of percentage markup

Percentage markup = (profit / cost price) x 100

Profit = $11.25 - $3.75 = $7.50

Percentage markup = ($7.50 / $3.75) x 100 = 200%

To learn more about percentages, please check: https://brainly.com/question/25764815

Complete the statement with <, >, or =.



Answers

Answer:

>

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

-_/18 = -4.24 which is less than -4

R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?

Answers

(x+1)+(3x-5)=180
4x-4=180
4x=184
x=46

3(46)-5
138-5
133

mZ133*

Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=

Answers

Answer:

(a) 0.5282

(b) 0.4718

Step-by-step explanation:

It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .

It is also provided that the box selected has 6 defective keyboards.

So, the probability of selecting a defective keyboard is, p = 6/20.

Let X = number of defective keyboards.

The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.

(a)

Compute the probability that this shipment will be accepted as follows:

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

               [tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]

Thus, the probability that this shipment will be accepted is 0.5282.

(b)

Compute the probability that this shipment will not be accepted as follows:

P (shipment not accepted) = 1 - P(shipment accepted)

                                          = 1 - 0.5282

                                          = 0.4718

Thus, the probability that this shipment will not be accepted is 0.4718.

Therese is throwing a party and wants to make goodie bags. She has 26 lollipops and 14 tootsie rolls. What is the greatest amount of goodie bags can she make? How many lollipops will be in each? How many tootsie rolls?

Answers

She can make 2 goodie bags.

13 lollipops

17 tootsie rolls

The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.

If you divide both the numbers (26,14) by 2, you get 13 and 17.

Please mark branliest if this helped

What is the difference between 65 and -25?

Answers

Answer:

40?

Step-by-step explanation:

it literally tells you?

Answer:

90 because 65 plus 25 is 90.

Step-by-step explanation:

65 plus 25 is 90 and

PLZ HELP WILL GIVE BRAINLIST

A. A number less than 2
B. A number greater than 1
C. An odd number
D. A multiple of 2

Answers

Answer:

Option A

Step-by-step explanation:

The answer is option A "A number less than 2." That is because we check off each of the following given options. It won't be option C because they're 4 odd numbers a equal amount of multiplies of two (option D) which means they both have a equal (4 out of 8) chance. It won't be option B because they're 7 out of 8 numbers that are greater then on which means you have a greater chance of getting a number greater then one but the question is asking for the most unlikely.....therefore the answer is option A because you have a 1 out of 8 chance of getting a number less then two.

Hope this helps.

find the coordinates of the point 3/10 of the way from A to B

Answers

Answer:

the coordinates of b is (9,7)  

the coordinates of a is (-4,-6)

Step-by-step explanation:

9,7

-4,-6

Hope it helps



Solve for y

1/3y+2=1/7y

Answers

Answer:

y=2

y=0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7*y-1-(3*y^2+y-1)=0

(7y - 1) -  ((3y2 +  y) -  1)  = 0  3.1     Pull out like factors :

  6y - 3y2  =   -3y • (y - 2)

Answer:

y = -21/2

Step-by-step explanation:

multiply both sides of the equation by 21 so it would be

7y+42=3y

move the terms

7y-3y=-42

collect like terms

4y=-42

divide both sides by four

y= -21/2

what statement makes the open sentences 12+3x= 30 true hurry!!!!

Answers

x = 6
because 30 - 12 = 18
18/3 = 6

Answer: X=6

you would do 30 - 12 witch equals 18

than you would do 18 divided by 3 witch is 6 so it is x = 6

My Cours
Course H
Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected at random.
A: Their birthday is in the fall.
B: Their birthday is in October.
Homewo

Answers

Answer: not mutually exclusive

Step-by-step explanation:

Find the equation of the line in
slope Intercept form if the
line passes through the
points (-5, -1) and (-4, -1)

Answers

Answer:

y=0x-1

Step-by-step explanation:

Slope-int form: y=mx+b

Both points have the same y value and different x values, so the slope (m) is 0.

Since the y-intercept is (0, -1), b=-1

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