A card is picked at random from a pack of 52 playing cards. The probability that it is a 6

Answer:

its A. 5

Step-by-step explanation:

5/10 is also known as 1/2 so 5/10 is equal to 1/2

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

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Answer:

(3) [tex]y=-3[/tex]

Step-by-step explanation:

The two points have the same y coordinates so the slope is zero and because both points have an y of -3 the y coordinate will always be -3.

Answer:

Length of arc AC = 10.6 ft

Length of arc ADC = 73.4 ft

Step-by-step explanation:

θ = 45°

Circumference = 85 ft

✔️First, find the radius:

Circumference of a circle = 2πr

Thus:

85 = 2πr

Solve for r

Use 3.14 as π

Divide both sides by 2π

85/2π = r

85/2*3.14 = r

85/6.28 = r

r = 13.5350318 ≈ 13.5 ft (nearest tenth)

✔️Find length of arc ADC:

Length of arc = θ/360 × Circumference of the circle

θ = 360 - 45° = 315°

Circumference = 85 ft

Plug in the values

Length of arc ADC = 315/360 × 85

= 74.375 ≈ 73.4 ft (nearest tenth)

✔️Find length of arc AD:

Length of arc = θ/360 × Circumference of the circle

θ = 45°

Circumference = 85 ft

Plug in the values

Length of arc AC = 45/360 × 85

= 10.625 ≈ 10.6 ft (nearest tenth)

Answer:

a

Step-by-step explanation:

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]

([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Answer:

The answer would be 'B. perimeter'.

Answer:

1,-4

Step-by-step explanation:

formula for rotation of 270 is (x,y) to (y,-x)

"200" (and any subsequent words) was ignored because we limit queries to 32 words

Kate is reading 40 pages per hour.

The whole book takes 12.5 hour to complete.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the data we have (5, 200) and (5,0)

then slope= (200-0) / 5

                = 40

So, Kate is reading 40 pages per hour.

Now, to read the whole book i.e., 500 pages it takes

= 500/40

= 12.5 hours

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Answer:

Apples: 23 , bananas = 9

Step-by-step explanation:

Apples = 18 x 6 = 108p = 1,08£

5-1,08 = 3,92£

£3,92 = 392p

Bananas = 392 : 40 = 9,8= 9

40x9 = 360p = 3,60£

change = 3,92 -3,60 = 32p

apples = 32 : 6 = 5,33 = 5

total apples = 23

Answer: 4.2

Step-by-step explanation:

hb=2A

b=2·21

10=4.2ft

Answer:

r = 16 cm ; l = 34 cm ; LA = 544π cm^2 ; SA = 800π cm^2

Step-by-step explanation:

The volume of the cone can be find with this formula

V = (base area x height)/3

thanks to this formula we can find the base surface

base surface = (V x 3)/height

base surface = (2560π x 3)/30 = 256π cm^2

the formula of the base surface is

base surface = radius^2 x π

so we can find the radius in this way:

radius = √base surface/π

radius = √256π/π = 16 cm

slant height = [tex]\sqrt{radius^2 + height^2}[/tex]

[tex]\sqrt{16^2 + 30^2} =\sqrt{256 + 900} = \sqrt{1156} = 34[/tex] cm

lateral surface = radius x slant height x π = 16 x 34 x π = 544π cm^2

surface area = base area + lateral surface = 256π + 544π =800π cm^2

Answer:

C

Step-by-step explanation:

The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.

Answer:

Hence, the data provides convincing evidence that a linear relationship exists between hours of sleep observed and academic performance as measured by GPA.

Step-by-step explanation:

Given the data:

Sleep (hrs) 9 8.5 9 7 7.56 7 5.5 6 8.5 6.5 8

GPA 3.8 3.3 3.5 3.6 3.4 3.3 3.2 3.2 3.2 3.4 3.6 3.1 3.4 3.7

The scatter plot shows a positive linear trend. With the correlation Coefficient depicting a R value of 0.56. The residual plot also depicts a a randomly scattered values of the residual values. Similarly, a plot of the normal values of  residuals

The data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data of the 14 seniors shown in the table.

To solve this question we will calculate the correlation coefficient 'r'

The formula for correlation coefficient :

[tex]\rm r =\frac{n\sum xy-\sum x \sum y}{\sqrt{[n\sum x^2-(\sum x)^2]}[n\sum y^2-(\sum y)^2]} }[/tex]

From the table the value of n = 14

[tex]\rm \sum x = 104.5[/tex] , [tex]\rm \sum y =47.7[/tex] , [tex]\rm \sum xy =357.8[/tex] , [tex]\rm \sum x^2 =797.25[/tex] , [tex]\rm \sum y^2 =163.09[/tex]

Put all the values in the above formula we get:

[tex]\rm r =\frac{14\times357.8-104.5 \times47.7}{\sqrt{[14\times 797.25-104.5^2][14\times163.09-47.7^2]} }[/tex]

[tex]\rm r = \frac{5009.2-4984.65}{\sqrt{(241.25)(7.97)} }[/tex]

[tex]\rm r = \frac{24.55}{43.849}[/tex]

r = 0.559 ≈ 0.56

The value of the correlation coefficient is 0.56 which is between the values 0.5 to 0.7 shows that the variables are moderately correlated.

Thus, the data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

Learn more about the correlation here:

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Step-by-step explanation:

Just telling you, if your grades are bad,

you should listen to the teacher more in class time,

take notes, and more.

Btw, the equation is...

I hope this will help you.

I cannot give answers for everything.

I hope this helps!

Answer:

x = 33.8°

Step-by-step explanation:

The resulting diagram we have is a right triangle. To find x, apply trigonometric function.

Reference angle = x

Opposite = 116

Adjacent = 173

Apply TOA:

Tan x = Opp/Adj

[tex] tan (x) = \frac{116}{173} [/tex]

[tex] x = tan^{-1}(\frac{116}{173}) [/tex]

[tex] x = tan^{-1}(\frac{116}{173}) [/tex]

x = 33.8° (nearest tenth)

Answer:

Point, Line, Plane

Step-by-step explanation: They are undefined terms because its is easier to define them using examples rather than word for word

Answer: 60

Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.

You didnt give us the numbers but it should be 4 and -4

Answer:

2(8a+5)

Step-by-step explanation:

To factor means to find a number that can divide all the terms in the expression and leave whole number quotients. The factor is written outside the bracket while the quotients are written inside the bracket. In the question, 2 can divide both 16a and 10 giving 8a and 5. This is how the answer was obtained.

Answer:

step 4

Step-by-step explanation:

she's at 6 then goes up 3 which would mean she's at step 9. then she goes does 4 so subtract 9-4=5. She would be on step 5 but she decides to go up 2 so add. 5+2=7. then she goes down 3 steps so subtract. 7-3=4. she ends up at step 4.

Answer:

(a)317 and 3/5 (b) jimmy

Step-by-step explanation:

(a) 317 and 3/5 because i plus there chord both (b) no explanation cause jimmy has mire chord than james

Answer:

A.317 3/5

B.jimmy

Step-by-step explanation:

sana Po makatulong

Answer:

duuuuuuude if its easy then why do you need help huh answer me

Step-by-step explanation:

Answer:

square with (-2,4) and (3,-1) vertices

Answer: 162

Step-by-step explanation:

6(12+15) Following the order of operations, (P.E.M.D.A.S), you should do parentheses first. So you add 12 and 15 to get 27. Were left with 6(27). So we multiply 6 and 27. The final answer is 162.

4

 27

x  6

--------

162

Answer:

15

Step-by-step explanation:

Just substitute x in the equation

so x=3

so

3^2=9, 5x3=15, -9

equals 15