Here is a table showing all 52 cards in a standard deck.
Face cards
Color Suit Ace Two Three Four Five Six Seven Elght Nine Ten Jack Queen King
Red Hearts AY 2 3 4 5 6 7 8 9 10 JY Qv Ке
Red Diamonds A. 2. 30 . 5. 6.
8. 9. 10. J. Q.
Black Spades A. 2. 34 4 58 68 7 84 9. 10. JA Q К.
Black Clubs At 21 34 46 54 64
84 94 104 JA Q4 К.
40
K.
ささき
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the
deck.
What is the probability that both of the cards are black?
Do not round your intermediate computations. Round your final answer to four decimal places.
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hD

Answer:

[tex]4x(7y+4)[/tex]

Answer:

A: 7.75 meter square
P: 16m

Step-by-step explanation:

Area: Formula : Take Base x Height then divided by 2
Perimeter: Formula  : Add up all the exterior side of the triangle

Hope it helped
Have a nice day of studying :>

Answer: It is the 2nd one

Step-by-step explanation: 8≤m

The volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters

From the question, we are to determine how many liters of water must Sharon add to 12% soap solution

Using the dilution law formula,

C₁V₁ = C₂V₂

Where C₁ is the initial concentration

V₁ is the initial volume

C₂ is the final concentration

and V₂ is the final volume

From the given information,

C₁ = 36%

V₁ = 5 liters

C₂ = 12%

V₂ = ?

Putting the parameters into the equation, we get

36 × 5 = 12 × V₂

180 = 12V₂

∴ V₂ = 180 / 12

V₂ = 15 liters

This means the final volume of the solution will be 15 liters.

Volume of water that must be added = V₂ - V₁

Volume of water that must be added = 15 liter - 5 liters

Volume of water that must be added = 10 liters

Hence, the volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters.

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Answer:

10 liters

Step-by-step explanation:

hope it helps:3

Answer:

y=3

Step-by-step explanation:

Multiply -2 by 0 to get 0. Now to get y alone, divide 6 by 2 to get the answer y=3.

Answer:

Step-by-step explanation:

I think the answer is 10.48 or 10.3, It was a little difficult because I solved this multiple ways but I do believe 10.48 is more accurate, I apologize however if I am wrong.

Answer:

10.3

Step-by-step explanation:

its right

Answer:

radius: 12

Given the following:

Volume of sphere: 7,240

Formula of volume of sphere:

Volume = 4/3 π (radius)³

Find radius:

change sides

simplify

cube root on both sides

simplify

Answer:

=

Step-by-step explanation:

lcm = 8 so you multiply the numerator of 2 1/2    1 x 4 = 4  4 is your numerator and 8 is your denominator        2 4/8 = 2 4/8 you can simplify to 2 1/2 too

Answer:

2 4/8 = 21/2 Equal To =

Step-by-step explanation:

2 4/8

Also equal to  2 1/2

Since reducing fractions 4/8 simplified is 1/2

2 4/8 = 21/2

Answer:

(4)^5

Step-by-step explanation:

When multiplying expressions with exponents you add the exponents together so in this equation you would get -4^11/-4^6. However since both exponent have the same base (-4) you can simplify it farther. When dividing expression with exponents you subtract the exponents. So, here, you would get 4^5.

Hope that helps! :)

Answer:

0.02< P-value<0.04

Step-by-step explanation:

Since this P-value is less than the usual significance level of 0.05, we would reject the null hypothesis and conclude that there is evidence of a difference between the true population mean and 36 at the 0.05 level of significance.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To find the P-value for Jasper's test, we need to use the t-distribution with degrees of freedom (df) equal to the sample size minus one,

which is 16-1=15 in this case.

Using a t-table or a calculator, we can find that the two-tailed P-value for t=2.4 with df=15 is approximately 0.029.

This means that if the null hypothesis is true (i.e., if the true population mean is 36), the probability of observing a sample mean as extreme as or more extreme than the one obtained by Jasper is 0.029.

Thus,

Since this P-value is less than the usual significance level of 0.05, we would reject the null hypothesis and conclude that there is evidence of a difference between the true population mean and 36 at the 0.05 level of significance.

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The formula in finding the distance between two points is given below:

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: What is the distance between (-2, 0) and (-11, 0)?

From inspection on the given problem:

Substitute the given values into the distance formula and solve for d:

Therefore, the distance between two points is 9 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

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Answer: 1⅗

Step-by-step explanation:

Mora = ⅕ × 8 = 1⅗

Answer:

[tex]B \approx 32.1\°; A \approx 39.0\°[/tex]

Step-by-step explanation:

Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant

[tex]\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c[/tex]

In our case, for the left triangle,

[tex]\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°[/tex]

Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get

[tex]sin\ B \approx 0.53 \rightarrow B \approx 32.1\°[/tex]

Same difference with the right triangle. With the same calculations

[tex]sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°[/tex]

Answer:

The answer is C (0.30) are NOT going to particulate

Step-by-step explanation:

We can find the answer by simply putting all of the results into order, which gives the following for the non-participants:

28: 6's

27: 7's

29: 8's

15: 9's

Now to find the answer, we must know the total amount of results, which I found to be 250. We also need to know the total amount of non-participants there are, which is 99. So if we take 99 and divide it by 250 (99/250); we get 0.396. Although this isn't the exact answer, it is the closest.

To further prove that this should be right, Yuri found 60% of students to participate, which leaves around 40% left to not participate. So this should be right.

Hope this helps! - SC

(Let me know if it's wrong so I can change my answer if needed).

Answer:

The total distance walked to the aquarium is 1/2 miles.

Step-by-step explanation:

What distance did she walk? Distance walked = 2 1/2 - (1/4 + 1 3/4) = 2 1/2 - 2 =1/ 2 miles

Answer:

113.04

Step-by-step explanation:

V of Cylinder = h x r^2 x 3.14 (or pi)

Therefore, V of Cylinder is 9 x 2^2 x 3.14 = 113.04

Answer:

D

Step-by-step explanation:

The first quartile of group A is greater than the first quartile of group B.

Answer:

31.85 square feet

Step-by-step explanation:

Finding the radius :

Substituting in the area formula :

So

Now

Area

The amount in the account after the given time if compounded semiannually is $1104.2

Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:

A = P(1+r/n)^nt

Given

P = $1000

rate r = 0.05

time =3years

n = 2

Substitute

A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2

Hence the amount in the account after the given time if compounded semianually is $1104.2

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Answer:

He can find how much water he has left after watering his plants, and subtract it by how much he started with.

By using a measuring cup. This would help him find the amount of water left in the can, which then the amount of cups would be subtracted from 10.

No we can not make square triangle 3 triangles and 2 squares we can make it by using one square and three triangles.

A square triangle is a diagram made by using the squares and the triangle simontaneously.

Here in the image below you can see we can make the square triangle by using one square and three tringles.

In the image you can see AOC,AOB and BCD are three triangles and ABCD is one square.

Hence we can not square triangle 3 triangles and 2 squares we can make it by using one square and three triangles.

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Answer:

440

Step-by-step explanation:

If we have the information that 154 mocha cupcakes = 35% of the total cupcakes sold on a certain day, then to find the total number of cupcakes old that day, we can set up a simple proportion.

So, with x = the unknown number of total cupcakes

35% = 154 / x

==>

35 / 100 = 154 / x

We can use cross-multiplication to simplify to ==>

35x = 15,400

Now we divide both sides by 35 to isolate our variable ==>

x = 440

So, the total number of cupcakes sold that day (100%) was 440 cupcakes

10x > 1500 + 4x

6x > 1500

x > 250

Since x cannot equal 250, they must sell 251 CD's before they can make a profit.

Proof:

[tex]1500+4(250)=2500[/tex]

[tex]10(250)=2500[/tex]

No net profit

[tex]1500+4(251)=2504[/tex]

[tex]10(251)=2510[/tex]

Net profit of $6

Answer:

u be mumu go ask ur father that one

Answer

[tex]160[/tex]

Explanation

Based on the given conditions, formulate: [tex]115+80-35[/tex]

Calculate the sum or difference: [tex]195-35[/tex]

Calculate the sum or difference: [tex]160[/tex]

get the result: [tex]160[/tex]

Answer: [tex]160[/tex]

Answer:

$ 160

Step-by-step explanation:

80      -35       +115  = 160

Answer:

57

Step-by-step explanation:

This is because, in order to find the range you need to set the order from lowest to highest and subtract the lowest from the highest. So in this case the lowest would be 117 and the highest would be 174. So when you subtract them you get 57.

Answer:

1) Range = 57

2) Range = 12

3) Median = 88, First Quartile = 84,  Third Quartile = 92, Interquartile = 8

4) Median = 81.5, Median of lower half = 67, Median of upper half = 92,

Describe the spead of the data = ______

*We cannot see the drop-down answer choices for this part of the question, so we cannot give an answer. Sorry.

5) a. Range = 172 points, Interquartile Range = 42 points

b. Outlier = 193, Range without the Outlier = 101 points, Interquartile Range without the Outlier = 48.5 points

c. The outlier affected the __________ more.

*We cannot see the drop-down answer choices here, so we cannot answer this part of the question. Sorry.

Good Luck!  I hope this helps!

Step-by-step explanation:

1) Find the range of the data.

133, 117, 152, 127, 168, 146, 174.

First, put the numbers in ascending order:

117, 127, 133, 146, 152, 168, 174

To find the range, subtract the smallest number from the largest number.

174 - 117 = 57

So, the range is 57.

2) Find the range of the data.

26, 21, 27, 33, 24, 29

First, put the numbers in ascending order.

21, 24, 26, 27, 29, 33

To find the range, subtract the smallest number from the largest number.

33 - 21 = 12

So, the range is 12.

3) Find the median, first quartie, third quartile, and interquartile range of the data. 84, 75, 90, 87, 99, 91, 85, 88, 76, 92, 94

First, put the numbers in ascending order.

75, 76, 84, 85, 87, 88, 90, 91, 92, 94, 99

The median is the value in the middle, so in this case, it is 88.

To find the first quartie, third quartile, and interquartile, we must split the numbers into quarters.

75  76      84      85  87       88     90  91      92      94  99

The first quartile is 84.

The third quartile 92.

The interquartile is the first quartile subtracted from the third quartile, so

92 - 84 = 8.

4) Use grid paper to find the median of the data. Then find the median of the lower half and the median of the upper half of the data.

82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85

First, put the numbers in ascending order.

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Find the median which is the middle of the values.

51  56  62  72  79    81  82    85  89  95  97  98

In this case, it is between 81 and 82, so we find 81+82 / 2 = 81.5.

The median is 81.5.

The median of the lower half of the data is the value in the middle of the first 6 of the 12 numbers.  51  56    62  72    79  81

We need to find 62+72 / 2 = 134 /2 = 67, so the median of the lower half of the data is 67.

The median of the upper half of the data is the value in the middle of the last 6 of the 12 numbers.  82  85    89  95    97  98

We need to find 89+95 / 2 = 184 / 2 = 92, so the median of the upper half of the data is 92.

Describe the spread of the data.

The data are ___________ . (We cannot see the drop-down options, so cannot answer this part of the question. Sorry.)

5) The table shows the number of points scored by players on a basketball team.  21  53  74  82  84  93  103  108  116  122  193

a. Find the range and interquartile range of the data.

To find the range, subtract the smallest number from the largest number.

193 - 21 = 172

The range is 172 points.

To find the interquartile range, we must split the numbers into quarters.

21  53      74      82  84      93      103  108      116      122  193

The first quartile is 74. 

The third quartile 116.

The interquartile is the first quartile subtracted from the third quartile, so 

116 - 74 = 42.

The interquartile range is 42 points.

b. Use the interquartile range to identify the outlier(s) in the data set.

Find the range and the interquartile range of the data set without the outlier(s).

21  53  74  82  84  93  103  108  116  122  193

Per Wikipedia, "In statistics, an outlier is a data point that differs significantly from other observations."

Per statology.org, "One popular method is to declare an observation to be an outlier if it has a value 1.5 times greater than the interquartile (IQR) or 1.5 times less than the IQR."  

From statology. org:

(Note: Q1 = first quartile, Q3 = third quartile, IQR = interquartile)

The lower limit is calculated as:

Lower limit = Q1 – 1.5 * IQR = 74 – 1.5 * 42 = 74 - 63 = 9.

The lower limit of outliers is 9 points.

And the upper limited is calculated as:

Upper limit = Q3 + 1.5 * IQR = 116 + 1.5 * 42 = 116 + 63 = 179.

The upper limit of outliers is 179 points.

The outlier is 193 points.

To find the range without the outlier, subtract the smallest number from the largest number.

21  53  74  82  84  93  103  108  116  122

122 - 21 = 101 points

The range without the outlier is 101 points.

To find the interquartile range wthout the outlier, we must split the numbers into quarters.

21      53  74      82      84  93      103      108  116      122

The first quartile is 53+74 / 2 = 127 / 2 = 63.5. 

The third quartile 108+116 / 2 = 224 / 2 = 112.

The interquartile is the first quartile subtracted from the third quartile, so 

112 - 63.5 = 48.5.

The interquartile range without the outlier is 48.5 points.

c. Which measure did the outlier affect more?

The outlier affected __________ more. (We cannot see the drop-down options, so cannot answer this part of the question. Sorry.)

Answer:

200 questions on the final exam.

Step-by-step explanation:

38% = 76 questions, 100% = 2.63157894737 x 76 = 200

(100/38=2.63157894737 hence this is the answer)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4, 9, 0, 1,1, 2, 0, 0, 2, 8, 8, 3, 1.

Arrange in ascending order:

0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 8, 8, 9.

The median = middle value = 2.

Lower quartile = 0.5

Upper quartile = 6.