A card is drawn from a standard deck of 52 playing cards. What is the probability of drawing a club or a red king?

The Probability of a chain defect will be 3%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let B  be the event that brake defect .

Let C be the event that chain defect.

Since we have given that

Probability of a brake defect P(B) = 4%

Probability of both chain and brake defect P(B∩C) = 1%

Probability of either brake or chain defect P(E∪C) = 6%

So, we need to find the probability of a chain defect.

As we know the rule of probability.

P ( B U C )  =  P(A) + P (B) - P ( B [tex]\cap[/tex] C)

6   =   4   +  P (C)  - 1

P (C) = 3

Hence, Probability of a chain defect is 3%.

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Dilation centred at origin

So new coordinates are same like previous

Now scale factor is 3

So P':-

Option D

Answer:

D)   (−6, −12)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

When the center of dilation is the origin (0, 0), simply multiply the coordinates of the points of the pre-image by the scale factor to determine the points of the image after dilation.

Given:

Therefore:

⇒ P' = (-2 × 3, -4 × 3)

⇒ P' = (-6, -12)

Answer: No

Step-by-step explanation:

Answer:

1. False

2. True

3. False (Not sure about this one)

4. True

5. False

Answer:

a. 0.444444

b. 0.87

Step-by-step explanation:

a. (-2).(-4.5)

= -2 / -4.5

= 0.44444

u will do the same to the second question

Answer:

5.1m

Step-by-step explanation:

Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Applying Distance Formula :

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

Additional comment

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.

a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29

b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-

The data from the graph will be

1,0,6,2,0,2

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]

Hence standard deviation is 1.29

b)The standard deviation of the scores of the monthly home run totals in this season

The data from the graph will be

4,6,4,8,7,13

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]

Hence standard deviation is 2.738

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Answer:

The opposite sides of a rectangle are equal in length ⇒ perimeter = 2(3x +1) +2(x + 1) Also the perimeter = 28.

Answer:

P=2(L+W)

Step-by-step explanation:

p=2(L+W)

    2(2x+1)+2(3x-2)

    4x+2+6x-4

    10x-2

Answer:

6.62cm

Step-by-step explanation:

tan = opp/adj

opp = adj(tan)

opp = 13(tan(27))

opp = 6.62cm

Answer:

See below

Step-by-step explanation:

66 out of (84+66)   = 66/150 = 11/25 experimental chance of heads

   this is 6%  LOWER than the theoretical chance of getting heads (which is 1/2).

Answer:

10.6

Step-by-step explanation:

It forms a right angle traingle so use

16^2-12^2=112

and

root of 112=10.5830052443

Answer:

10.6cm  is the radius

Step-by-step explanation:

1)First You square the lateral height (12cm)

                   =144

2)Then you square the height (16cm)

                   =256

3)Then you subtract height squared from lateral height squared

                   256-144=112

4)Then Find the square root from the result of step 3

                   112 squared is 10.58 (round to the nearest tenth)

                                            10.6 is your answer!

Hope this helps BRAINLIEST PLEASE

Answer:

501

Step-by-step explanation:

Odd numbers between 500 and 510 are 501,503,505,507,509. Out of them the number has its one place the smallest 1 digit number is 501

Answer:

Angle a = 114 Angle b = 114 Angle c = 66 Angle d = 66

Step-by-step explanation:

180 - 48 = 132

132/2= 66

180 - 66 = 114

Answer:

16

Step-by-step explanation:

Answer:

767

Step-by-step explanation:

Answer:

0.0000045

[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]

When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.

Answer:

[tex]0.0000045[/tex]

Step-by-step explanation:

Rewrite it as a fraction:

[tex] \frac{0.45}{ {10}^{5} } [/tex]

Calculate it:

[tex] \frac{0.45}{100000} [/tex]

Rewrite the fraction:

[tex] \frac{45}{10000000} [/tex]

Simply:

[tex] \frac{9}{2000000} [/tex]

Turn it into a decimal:

[tex]0.0000045[/tex]

Answer:

D

Step-by-step explanation:

Given :

Solving :

Hence :

Answer:

D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]

Step-by-step explanation:

By taking the product between density and volume we will see that the mass is 284.2 kg

Remember that density is the quotient between mass and volume, then:

mass = density*volume.

Here we know that:

Taking the product of these two we get:

mass = (1,592 m³)*(0.1785 kg/m³) = 284.2 kg

So the correct option is the second one.

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Answer:

284.2 kg my good sir

Step-by-step explanation:

Big brain

Answer:

1×3=3 and 1×8=8 this is the answe right? and if you add these it will come 11

Answer:

3 and 8

Step-by-step explanation:

Answer:

   45. 20

   46. 30

   47. 60

Step-by-step explanation:

Let :

Solving

Solution

Answer:

Badia made 20 nails

Charli made 30 nails

Siva made 60 nails

Step-by-step explanation:

Let b = number of nails Badia made

Let c = number of nails Charli made

Let s = number of nails Siva made

Given:

⇒ Equation 1:    c = 1.5b

Given:

⇒ Equation 2:    s = 2c

Given:

⇒ Equation 3:    b + c + s = 110

Substitute Equation 1 into Equation 2:

⇒ s = 2(1.5b) = 3b

Substitute s = 3b and Equation 1 into Equation 3 and solve for b:

⇒ b + c + s = 110

⇒ b + 1.5b + 3b = 110

⇒ 5.5b = 110

⇒ b = 20

Substitute found value of b into Equation 1 and solve for c:

⇒ c = 1.5b

⇒ c = 1.5(20)

⇒ c = 30

Substitute found value of c into Equation 2 and solve for s:

⇒ s = 2c

⇒ s = 2(30)

⇒ s = 60

Therefore:

Answer:

hope this will help you (•‿•)

Step-by-step explanation:

[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

Answer & Step-by-step explanations:

I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.

P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.

26 + 13 out of 52 cards.

39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down

39/52 has a common factor of 13, divide both numbers by 13

P(Black or heart) = 3/4

P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.

26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%

P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down

28/52 has a common factor of 4, divide both numbers by 4

P(Red or 10) = 7/13

Answer

60%

Step-by-step explanation:

Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%

Answer:

a = 16    b = 4    c = 8     d = 16

e = 12    f = 36   g = 64

Step-by-step explanation:

a.

Equation =   [tex]y_x = 4x^{2} \\x = 1\\y_1 = 4(1)^{2} \\y_1 = 4^{2} \\y_1 = 16 \\[/tex]

b.

Equation:      [tex]y_x = 4^{x} \\x = 1\\y_1 = 4^{1}\\y_1 = 4[/tex]

c.

Equation:      [tex]y_x = 4x\\x = 2\\y_2 = 4(2)\\y_2 = 8[/tex]

d.

Equation:      [tex]y_x = 4^{x}\\x = 2\\y_2 = 4^{2}\\y_2 = 16[/tex]

e.

Equation:      [tex]y_x = 4x\\x = 3\\y_3 = 4(3)\\y_3 = 12[/tex]

f.

Equation:      [tex]y_x = 4x^{2} \\x = 3\\y_3 = 4(3)^{2} \\y_3 = 4(9)\\y_3 = 36[/tex]

g.

Equation:      [tex]y_x = 4^{x}\\x = 3\\y_3 = 4^{3}\\y_3 = 64[/tex]

The missing values for the function are

a= 4

b=4

c=8

d=16

e=12

f= 36

g=64

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

We have the table for three function.

Now, to find the following we have find the rate of change.

Function 1 : y= 4x

At x = 2 ; y= 8

At x= 3; y= 12

Function 2: y= 4x²

At x =1 ; y= 4

At x= 3; y= 36

Function 3 : y= [tex]4^x[/tex]

At x =1 ; y= 4

At x = 2 ; y= 16

At x= 3; y= 64

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