Find the next two numbers in the pattern.

−12,60,−300,1500

Part a: To find the probability that no kings, queens, or jacks appear before the first ace, there are 4 aces in a standard deck of 52 cards.

The probability of getting an ace in the first draw is 4/52.

\(Therefore, the probability of not getting an ace in the first draw is 1 - 4/52 = 48/52.\)

Then, for the second draw, there are 51 cards remaining, but one of them is an ace.

The probability of getting an ace in the second draw is 3/51.

Therefore, the probability of not getting an ace in the second draw is\(48/51\). For the third draw, there are 50 cards remaining, but two of them are aces.

\(The probability of getting an ace in the third draw is 2/50.\)

Therefore, the probability of not getting an ace in the third draw is 48/50. For the fourth draw, there are 49 cards remaining, but three of them are aces.

The probability of getting an ace in the fourth draw is 1/49.

Therefore, the probability of not getting an ace in the fourth draw is 48/49.

Hence, the probability that no kings, queens, or jacks appear before the first ace is\((48/52) x (48/51) x (48/50) x (48/49) = 0.228 or 22.8%.\)

Part b: To find the probability that exactly one king, exactly one queen, and exactly one jack appear (in any order) before the first ace, there are 4 kings, 4 queens, and 4 jacks in a standard deck of 52 cards.

The probability of getting a king, queen, or jack in the first draw is \((4 + 4 + 4)/52 = 12/52 = 3/13.\)

Therefore, the probability of not getting a king, queen, or jack in the first draw is\(1 - 3/13 = 10/13.\)

Then, for the second draw, there are 51 cards remaining, but two of them are kings, queens, or jacks.

The probability of getting a king, queen, or jack in the second draw is \(3/50.\)

Therefore, the probability of not getting a king, queen, or jack in the second draw is\(47/50.\)

For the third draw, there are 49 cards remaining, but three of them are kings, queens, or jacks.

The probability of getting a king, queen, or jack in the third draw is\(2/49\). Therefore, the probability of not getting a king, queen, or jack in the third draw is \(47/49.\)

For the fourth draw, there are 48 cards remaining, but four of them are kings, queens, or jacks.

The probability of getting a king, queen, or jack in the fourth draw is 1/48.

Therefore, the probability of not getting a king, queen, or jack in the fourth draw is 47/48. Then, the probability that the first ace appears in the fifth draw is (4/47).

Finally, we can get the required probability by multiplying the probabilities for each draw, which is(10/13) x (3/50) x (47/49) x (47/48) x (4/47) = 0.000541 or 0.0541%.

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Solution of the equation 3x - 14 =  4 will be x=6

What are Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

3x - 14 =  4

⇒3x = 4 +14 (adding 14 on both side)

⇒x = 18 / 3 (dividing 3 from both sides)

⇒x = 6

Hence, Solution to the equation 3x - 14 =  4 will be x=6

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When the researcher reports an independent-measures t statistic with df = 30 and the two samples are the same size (n1 = n2), each sample contains 16 individuals. The correct answer is (b) n = 16.

To determine the number of individuals in each sample when the researcher reports an independent-measures t statistic with df = 30 and the two samples are the same size (n1 = n2), we need to calculate the sample size.

For independent-measures t-tests, the degrees of freedom (df) can be calculated using the formula:

df = n1 + n2 - 2

Given that n1 = n2 (the two samples are the same size), we can rewrite the formula as:

df = 2n - 2

Rearranging the formula to solve for n:

n = (df + 2) / 2

Substituting df = 30 into the formula:

n = (30 + 2) / 2

n = 32 / 2

n = 16

Therefore, when the researcher reports an independent-measures t statistic with df = 30 and the two samples are the same size (n1 = n2), each sample contains 16 individuals.

The correct answer is (b) n = 16.

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I hope this help you

The size of width of each lumber piece will be 3.875 inches.

Logic is the arrangement of all those concepts, whereas algebra is the study of abstract concepts.

Making something a little less complicated while both making it easier to attain or understand is the concept of clarity.

Mrs. Harris intends to divide the breadth of a piece of timber that is 11 ⁵/₈ inches broad into three equal pieces.

Convert the mixed fraction number to a decimal number. Then we have

11 ⁵/₈ = 11 + ⁵/₈

11 ⁵/₈ = 11.625 inches

The width of each lumber piece is given as,

⇒ 11.625 / 3

⇒ 3.875 inches

The size of width of each lumber piece will be 3.875 inches.

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Hence, according to the question given, we have Jenny got 21 large buttons.

A ratio is a mathematical relationship between two values that are usually expressed as the quotient of one value divided by the other. In order to compare or explain the relative sizes of two or more quantities, ratios can be used.

A particular kind of ratio called a proportional relationship is one in which the ratio between the two quantities is constant. To put it another way, if you increase one amount by a specific factor, the other amount will also be multiplied by that same factor.

Jenny purchased a bag of mixed buttons containing 30 total buttons,70% were large.

We can use the following method to determine how many large buttons she received:

number of large buttons = percentage of large buttons x total number of buttons

By substituting the provided values, we get the following:

number of large buttons = 70% x 30 buttons

                                         = 0.7 x 30 buttons

                                         = 21 buttons

Therefore, Jenny got 21 large buttons in the bag of mixed buttons.

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The derivative of the given function is \(-12x^{2}(u^2 - 1)u(du/dx)/(u^2 + 1)^3\)under the condition the given function is g(x) = S3x 2x (u²-1)/(u²+1)du.

The derivative of the given function

g(x) = S3x 2x (u²-1)/(u²+1)du is

\(g'(x) = 3x * 2x * (u^2 - 1)/(u^{2}+ 1) * d/dx(S(u^{2} + 1)^{-1})\)

Applying the chain rule, then

\(d/dx(S(u^2 + 1)^-1) = -2u(du/dx)/(u^2 + 1)^2\)

Staging this  into prime original equation

\(g'(x) = -12x^2(u^2 - 1)u(du/dx)/(u^2 + 1)^3\)

The derivative of the given function is \(-12x^2(u^2 - 1)u(du/dx)/(u^2 + 1)^3\)

Function refers to the law which determines the relationship between one variable and other.

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Answer:

1) 6

2) 5

3) 3

Step-by-step explanation:

36 ÷ 6 = 6

25 ÷ 5 = 5

9 ÷ 3 = 3

The 3rd gardener was fastest it took him 3 minutes per bush

Answer:

Time taken per bush for the first gardener:36/6=6minutes

Time taken per bush for the second gardener:25/5=5minutes

Time taken per bush for the third gardener:9/3=3minutes

Third gardener trimmed bushes fastest.

The correct symbol used for a column alias containing spaces is C. " " (quotation marks).

In SQL, when we want to assign a column alias containing spaces, we enclose the alias within double quotation marks. This is done to differentiate the alias from other SQL keywords or to handle cases where the alias includes special characters, spaces, or is case-sensitive.

For example, consider the following SQL query:

SELECT column_name AS "Column Alias"

FROM table_name;

In this query, we are selecting a column named "column_name" from the table "table_name" and assigning it the alias "Column Alias" containing spaces. By enclosing the alias within double quotation marks, we indicate to the database that it should treat the entire string as a single identifier or alias.

Using other symbols such as '', ||, or // will not achieve the desired result of creating an alias with spaces. These symbols have different meanings in SQL.

'' (two single quotation marks) typically represents an empty string or a string literal in SQL.

|| (double vertical bars) is the concatenation operator in some SQL dialects, used to combine strings or values.

// (double forward slashes) is commonly used for comments in various programming languages and does not have any special meaning for column aliases in SQL.

Therefore, the correct symbol to use for a column alias containing spaces is C. " " (quotation marks).

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Answer: the unit rate is 2.5

Step-by-step explanation:

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

Answer:

132

Step-by-step explanation:

the ratio for saly is 4 out of 14. so 4/14 is 0.28571429. and if you multiply that by the total collected shirts which is 462, you get 132 :)))

Answer:

162

Step-by-step explanation:

54x3

Answer:

they want more attention than they already have,or they think its funny

Step-by-step explanation:

Answer:

It seems like most people joke about depression for attention.

Step-by-step explanation:

The salesman used 460 order forms in total, when he used three types of order forms: a, b, c.

Given that,

A salesman used three types of order forms: a, b, c. he used 50 of form a. of form b he used four times as many as form a plus 1/2 as many as form c. he used as many of form c as form a plus 1/2 as many as form b

A = 50

B = 4A + 0.5C = 200+ 0.5C  .......... (i)

C =  A +  0.5B =  50 + 0.5 B  .......... (ii)

multiply (ii) with 2

B = 2C -50              .......... (iii)

B = 0.5C + 160        ...........(i)

subtract (i) from (iii)

0 = 1.5C -210

C = 420/3 = 140

put in (i)

B = 200 + 0.5(140) = 270

Total forms = A+B+C = 50 + 270 + 140 = 460

Therefore, he used 460 forms altogether.

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Answer:

C

Step-by-step explanation:

The value of the equation  36 = (x +9) when x=3 is 12. option C is correct.

To evaluate the expression 36 = (x + 9) when x = 3.

we substitute the value of x into the expression:

36 = (3 + 9)

We know that the value of three plus nine is twelve.

Now, we simplify the expression inside the parentheses:

36 = 12

Hence, the value of the equation is 12.

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The expression  x²-6x+9 is equal to the expression (x-3)², option A is correct.

The given expression is x²-6x+9

x is the variable in the expression

Plus and minus are the operators

We have to factor the expression

x²-6x+9

x²-3x-3x+9

x(x-3)-3(x-3)

(x-3)(x-3)

x²-6x+9 is equal to (x-3)²

(x-3)²

Hence, the expression  x²-6x+9 is equal to the expression (x-3)², option A is correct.

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We know that

• Gemma's dinner cost $5 more than her cousin's.

• Their combined bill was under $25.

Based on the given information, we express the following

Where G is Gemma and C is her Cousin.

Hence, the inequality that represents this situation is

The percentage of the sheets with no air bubbles is given as follows:

13.53%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following mass probability function:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are listed and explained as follows:

The mean for this problem is given as follows:

\(\mu = 2\)

The proportion of these sheets with no air bubbles is P(X = 0), hence it is given as follows:

P(X = 0) = e^-2 = 0.1353 = 13.53%.

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Answer: y=K/5z

Step-by-step explanation:

To solve for y, you need to use algebraic properties to isolate y.

K=5yz            [divide both sides by 5z]

K/5z=y

y=K/5z

Answer:

7. Dr. Agoncillo completed a total of 14 years of post-secondary education. (4 years undergrad + 4 years medical school + 5 years residency + 1 year fellowship = 14 years)

8. Dan consumed a total of 124 fluid ounces. (2 x 20 + 3 x 16 + 1 x 32 = 40 + 48 + 32 = 120 fluid ounces)

9. There are 175 ACE wraps in stock at this physical therapy clinic. (27 x 2 + 43 x 1 + 93 x 1 + 12 x 1 = 54 + 43 + 93 + 12 = 175 ACE wraps)

10. Karen consumed a total of 67 grams of sugar, 19 grams of fat, and 5 grams of protein in this snack. (Snickers: 20g sugar + 11g fat + 3g protein = 34g total; Doritos: 1g sugar + 8g fat + 2g protein = 11g total; Mt. Dew: 46g sugar + 0g fat + 0g protein = 46g total; 34g + 11g + 46g = 91g total sugar; 11g + 0g + 0g = 11g total fat; 3g + 2g + 0g = 5g total protein)

Step-by-step explanation:

Mark Brainliest!!

The percentage of sand in Team D recipe is greater than the percentage of team A and less than the percentages of Teams B and C.

A percentage is calculated applying proportions, as it is a fraction of a total amount, obtained as the division of the number of desired outcomes by the number of total outcomes and multiplied by 100%.

Hence the percentage of sand in this problem are given as follows:

Percentage of sand = Cups of Sand/Total cups x 100%.

Then, for each team, the percentages of sand in the recipe are given as follows:

The amounts for the other teams are given by the image at the end of the answer.

The question is:

Team D used a recipe that consists of 20 cups of sand, 2 cups of flour, and 3 cups of water. How does the percent of sand in Team D’s recipe compare to that of the other teams?

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Answer:

someone answer please ive been waiting for 2 hours :skull:

Step-by-step explanation:  please answer yall

Answer:

y=50

Step-by-step explanation:

25(0)+15y=750

0+15y=750

15y=750

y=50

Answer:

36 days

Step-by-step explanation:

The answer is the lcm of (9,12)=36 days

We have to find LCM of 9 and 12

2 | 9,12

2 | 9,6

3 | 9,3

3 | 3,1

LCM=2×2×3×3=4×9=36

Today is 36 th day

The correct answer to your question is: the p-value of a significance test is the probability, assuming the null hypothesis is true, that the sample would produce a result at least as extreme (meaning, as far away from expected) as was actually observed.

This means that the p-value represents the strength of evidence against the null hypothesis, with lower values indicating stronger evidence against the null hypothesis. It is important to note that the p-value does not tell us the probability that the null hypothesis is true or false, but rather the likelihood of observing a result as extreme as the one observed in the sample data, assuming the null hypothesis is true.
The p-value of a significance test is: the probability, assuming the null hypothesis is true, that the sample would produce a result at least as extreme (meaning, as far away from expected) as was actually observed.

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Since x lies in the third quadrant, sec x is negative.Therefore, sin x = √2 / 2, tan x = -1, and sec x = -√2, in simplest form.

Question 12: Part A: Determine the reference angle of x. (4 points)The reference angle of x is that angle in the range [0, 90°) that is formed by the terminal side of x when x is in standard position. It can be found by subtracting the multiple of 360° that brings the angle into the range [0, 360°) from the given angle, then taking the absolute value of the result.θr = |θ - 360°n|, where n is an integer that makes θr a positive angle, and θ is the given angleIn this case, the given angle x = -135° is in the third quadrant, and it lies 45° short of the fourth quadrant.

Therefore, we will add 360° to x and take the absolute value of the result to find the reference angle:θr = |(-135°) + 360°| = 225°Therefore, the reference angle of x is 225°.Part B: Find the exact values of sin x, tan x, and sec x in simplest form. (6 points)We have x = -135°, and we need to find the values of sin x, tan x, and sec x.Sin x = sin(-135°) = -√2 / 2. Since x lies in the third quadrant, sin x is negative, and we can find its value using the reference angle 225°:sin x = -sin(225°) = -(-√2 / 2) = √2 / 2.Tan x = tan(-135°) = -1. Since x lies in the third quadrant, tan x is negative.Sec x = sec(-135°) = -√2.

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Answer:

Percentage of people with IQ greater than 120 is 84.134%

Step-by-step explanation:

First thing we do here is to calculate the

z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 120, mean = 100 while SD = standard deviation = 20

z-score = (120-100)/20 = 20/20 = 1

The probability we want to calculate is;

P(x > 120) or P(z >1)

we proceed to use the standard score table to get this;

From the standard score table ;

P(z >1) = 0.84134

which is in percentage = 84.134%