A standard​ 52-card deck has four​ 13-card suits:​ diamonds, hearts,​ clubs, and spades. the diamonds and hearts are​ red, and the clubs and spades are black. each​ 13-card suit contains cards numbered from 2 to​ 10, a​ jack, a​ queen, a​ king, and an ace. an experiment consists of drawing 1 card from the standard deck. find the probability of drawing a black king of heartsblack king of hearts.

Answers

Answer 1
Answer:

The probability of getting a black king of hearts is 1/52

From the question, we have:

The number of cards in a standard deck, n = 52

Black king of heart, r = 1

The probability of getting a black king of hearts is the quotient of the number of black king of heart and the total number of cards in the deck.

So, we have:

p = 1/52

Hence, the probability of getting a black king of hearts is 1/52

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Answer 2
Answer: 1 our of 52 because there are 52 cards and 1 black king of hearts

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Insert < or > to form a true statement -17/18,3/5
ASAPP PLEASEESolve the following equation algebraically: x2 = 20 a.4.47 b. -3.97, 3.97 c. -10, 10 d. -4.47, 4.47
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If the absolute value of the correlation is approximately one, then the points lie close to a line that slopes upward or downward?

Answers

Answer:

if it is positive then it goes upward and if negative it goes downward..so if it is approximately 1 then it will be constant or straight...

Given the equation: 3x − 4y = 8,a) write an equation of a line parallel that passes through the point (-16, 4).

b) write an equation of a line perpendicular that passes through the point (9, -7).

Answers

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope  M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16  answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign.  so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b

Solve the equation: b/5 + 15 =45
is answer 150

Answers

Answer: The answer is 150.

Step-by-step explanation:

First of all, we need to use inverse operations to solve this arithmetical equation.

First, multiply both sides by 5.

5(B/5 + 15) = 5(45).

B + 75 = 225.

Now we need to use the inverse operation of addition to get B by itself.

The inverse operation of addition is subtraction. And so we must subtract each side by 75.

B + 75 - 75 = 225 - 75.

B = 150.

So it looks like you are correct. 150 is the answer.

What are the solutions of this quadratic equation?
x2 − 10x = -34

Answers

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

x = ( -b \pm √(b^2 -4ac))/(2a)

Here a = 1

b = -10

c =  34

The roots of the equation are

x = ( 10 \pm √((-10)^2 -4*34))/(2)

\rm x = ( 10 \pm √(-36))/(2)\n\n\nx = 5 \pm 6i

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Here it is, step by step:

x^2 - 10x = -34
x^2 - 10x + 34 = 0
We cannot easily factor anything, so we resort to the quadratic equation. The work is attached as an image.

A statistic is a characteristic of a sample while a parameter is usually an unknown population parameter?True

False

Answers

This should be Correct-

Answer:

True

Explanation:

A statistic is a characteristic of a sample, a portion of the target population. A parameter is a fixed, unknown numerical value, while the statistic is a known number and a variable which depends on the portion of the population.

Parameter Definition: a quantity or statistical measure that, for a given population, is fixed and that is used as the value of a variable in some general distribution or frequency function to make it descriptive of that.

Population: The mean and variance of a population are population parameters.

Statistic Definiton: A statistic or sample statistic is any quantity computed from values in a sample that is used for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average of sample values is a statistic.

The answer is: true

Hope this helps! Happy holidays;)

im giving my friends 9 cupcakes thats 60 percent of my order how many more cupcakes do i need to get my order to 100 percent

Answers

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 morecupcakes are needed.

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Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.