Please help I'll mark you as brainiest

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

Answer:

2,1,0 is the sequence of its terms

Answer:

0.03703703703

Step-by-step explanation:

Look it up

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

Answer:

A

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

circumference = [tex]2\pi r[/tex]

[tex]r^{2} = 4\\\sqrt{r^{2}} =\sqrt{4} \\r = 2[/tex]

[tex]2\pi (2) = 4\pi[/tex] [tex]yd[/tex]

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

Answer:

0.125 = 12.5% probability that they are a great match now.

Step-by-step explanation:

To solve this question, we need the probability of a person being a great match, which i will use 0.1.

This question is solved using conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Is kind to animals.

Event B: Is a great match.

Probability of being kind to animals:

0.9 of 0.1(Is a great match).

0.7 of 1 - 0.1 = 0.9(is not a great match). So

[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]

Probability of being kind to animals and a great match:

0.9 of 0.1. So

[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]

What is the probability that they are a great match now?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

0.125 = 12.5% probability that they are a great match now.

Step-by-step explanation:

work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

Answer:

m∠Q is 56°.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.

In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.

So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.

Therefore, m∠Q is 56°.

Answer:

1.

mean= 84.6

median=84

mode=84

2.

mean=10.14

median=9

mode=9

3.

mean=22.3

median=21

mode=phi

Step-by-step explanation:

mean: the sum of of the quantities by their number

median: the median value after rearranging the values

mode: the value that occurs most frequently

in the second question

mean = (8+9+9+9+9+10+11+15)/8

median(even number) =(9+9)/2=9

mode=9

Answer:

for data set 1

1.mean-84.6

2.median-(84+84)/2 = 84

3.mode-84

for data set 2

1.mean-9.25

2.median-(9+9)/2 = 9

3.mode-9

for data set 3

1.mean-22.3

2.median-21

3.mode-no mode with this data set

hope this helped!!

Answer:

-9

Step-by-step explanation:

Answer:

144cm

Step-by-step explanation:

Just search it up lol

Answer:C

Step-by-step explanation: goobaldy gock

Answer:

the answer is B not C you're welcome

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

I believe that the answer is 11/4. I hope this helps!

By using the definition of rational numbers, we can get:

Remember that a rational number is a number of the form:

N = a/b

Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.

a) First, we want to find 3 rational numbers between 1/4 and 0.252525...

We can rewrite:

1/4 = 0.25

Then we want to find 3 rationals between 0.25 and 0.2525...

For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...

Another two examples will be 0.2502 and 0.2503

b) Now we have 1/3 = 0.333... and 0.3434...

3 rational numbers between these two are:

0.333... < 0.334 < 0.3434...

0.333... < 0.335 < 0.3434...

0.333... < 0.336 < 0.3434...

If you want to learn more about rational numbers, you can read:

https://brainly.com/question/12088221

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Answer:

Ha: μ < 24

The test statistic is z = -1.75.

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Step-by-step explanation:

A recent survey reported that small businesses spend 24 hours a week marketing their business.

This means that the null hypothesis is:

[tex]H_0: \mu = 24[/tex]

A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.

This means that the alternate hypothesis is:

[tex]H_a: \mu < 24[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

24 is tested at the null hypothesis:

This means that [tex]\mu = 24[/tex]

The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.

This means that [tex]n = 93, X = 23[/tex]

The population standard deviation is 5.5 hours

This means that [tex]\sigma = 5.5[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]

[tex]z = -1.75[/tex]

The test statistic is z = -1.75.

Do we reject the null hypothesis? Is there sufficient or insufficient evidence?

The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.

Looking at the z table, z = -1.75 has a pvalue of 0.0401

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

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Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

Learn more about Ratio here:

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Answer:

18

Step-by-step explanation:

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

Explanation:

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

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

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.