Does this figure have symmetry?
E
CLEAR
CHECK
Yes, because if you fold it in half, both halves match up.
Yes, because if you rotate it 90 degrees, the figure carries
onto itself.
No, because if you fold it in half, both halves do not match
up
No, because if you rotate it 180 degrees, it does not carry
onto itself.

The binomial distribution is applicable when only two outcomes are possible. The probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given that 18 of the senior DLT members are athletes, therefore, the probability of a DLT member being an athlete is,

[tex]P = \dfrac{18}{30} = \dfrac{6}{10} = 0.6[/tex]

Also, 12 of the senior DLT members are non-athletes, therefore, therefore, the probability of a DLT member being a non-athlete is,

[tex]q = \dfrac{12}{30} = \dfrac{4}{10} = 0.4[/tex]

Now, using the binomial distribution the probability that the newspaper staff receives quotes from exactly 3 athletes can be written as,

[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(8-3)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(5)}\\\\P(x=3) = 0.1238[/tex]

Hence, the probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.

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Answer:

There are 12 possible outcomes.

Step-by-step explanation:

For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.

Step-by-step explanation:

Let the numbers be a, b, c in ascending order.

Mean is 7, i.e. (a+b+c)/3 = 7 or a+b+c=21

Median(middle number) is 5, i.e. b=5

Range is 8, i.e. c-a=8 or c=8+a

Solving the above three equations simultaneously, we have

a+5+8+a=21

a=4, hence c=12

Therefore the three numbers are 4, 5 and 12

Answer:

[tex]\sqrt{52[/tex]

Step-by-step explanation:

hope it helps! im not completely sure but its the best answer!

Answer:

14 :D

Step-by-step explanation:

First we must divide!!

324/54 = 6

Now we add :)

6 + 8 = 14

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

the median is 3 for your question

The equation of the trend line is ŷ = 0.15x - 23.21

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w =>  93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

The regression equation is represented as:

ŷ = bX + a

Where:

b = SP/SSX

b = 7547.11/50569.56

b = 0.14924

a = MY - bMX

a = 75.56 - (0.15*661.78)

a  = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

Hence, the equation of the trend line is ŷ = 0.15x - 23.21

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Answer:

D.) y = 0.15 - 23.21

Step-by-step explanation:

I took the assignment

AS BASICALLY IF I TELL U THE CORRECT ANSWER OF ORANGE RECTANGLE IS16ML2

Answer:

16 mi squared

Step-by-step explanation:

Gray perimeter :16 (5,5,3,3)

Orange perimeter :16 (4,4,4,4)

Area of Gray :15 (5x3)

Area of Orange :16(4x4)

[tex] \: [/tex]

Explanation :

So, here we are to factor the polynomial :

[tex]\\ \longrightarrow \sf \qquad10m^2n+30mn^2+5mn\\ \\[/tex]

[tex] \longrightarrow \sf \qquad5mn(2m+6n + 1)\\ \\[/tex]

Some points to know :

Answer:

[tex]\boxed{5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)}[/tex]

Step-by-step explanation:

[tex]10m ^ { 2n } +30mn ^ { 2 } +5mn[/tex]

Factor out the common factor: 5

[tex]=5\left(2m^{2n}+6mn^{2}+mn\right) [/tex]

[tex]=5\left(6mn^{2}+mn+2\left(m^{n}\right)^{2}\right)[/tex]

=》This expression cannot be further simplified.

___________

Hope it helps ⚜

The equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]

Geometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:

[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

where

From the given sequence

a= 1/3

r = 2/9 * 3 = 2/3

Substitute into the formula

[tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]

Hence the equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]

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Answer:

A

Step-by-step explanation:

edge

Answer:

c) x = 20, angle COD = 70 °

Step-by-step explanation:

(x+50)° + 90° +20° = 180°

x + 160° = 180°

x = 180°- 160°

x = 20

Angle COD = (x+50)° = (20 +50)° = 70°

Hope this helps

Answer:

it equals =204 y=12

$68.15

P=Original price=145

D=Discount=53%

Sales=S

S=P-PD

S=145-(145×53%)

Answer:

84, do 252/3

7.5, do 180/24

0.45, do 9/20

1.4, do 11.2/8

Answer:

-5, 22, 292

Step-by-step explanation:

Subbsittutoin mehtod

(i) n = 1 , 3n - 8

       = 3 x 1 - 8

                 = -5

(ii) n = 10 , 3n - 8

        = 3 x 10 - 8

                    =22

(iii) n = 100 , 3n - 8

         = 3 x 100 - 8

               = 300 - 8

                     = 292

Answer:

A. 7.93 x 104

Step-by-step explanation:

Answer:

the right answer is c(5) . because the last digit of the second number is 2 . every number that its last digit is 2 squared , the last digit of the result will always be 4 . also , in every number that its last digit is five , the result will also always be 5 . so if the last digit of the first number is 5 this equasion is correct (because the last digit of the answer is 9 )(5+4)

hope that helped

Step-by-step explanation:

10.4feet by 7.4feet11.1 feet by 8.1 feet

Answer:

Because the cost price of 30 pens = Rs. 150

So, the cost price of 1 pen = 150/30 =5

so, the cost price of 20 pens =

Rs. 5 x 20 = 100

Cp is Rs. 100

Sp is Rs. 140

So, profit = 140-100 = Rs. 40

Profit % = (Profit x 100)xCp

=(40 x 100)/100

= 4000/100

= 40% profit

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

is the situation could the expression model.

Answer:

1st option

Step-by-step explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

• if a > 0 , the function opens up and has a minimum

• if a < 0 , the function opens down and has a maximum

here a = [tex]\frac{1}{2}[/tex] > 0

then f(x) opens up and has a minimum

Answer:

Option A, open up and have a minimum

Step-by-step explanation:

Step 1:  Determine if it opens up or down

Since the value of a is 1/2 which means that it's positive which also means that it opens up.  When a parabola opens up, that means that it has a minimum.  

The picture attached to this answer shows an example of how a graph would look when using this equation.  If a was -1/2 then the parabola would be facing down and would have a maximum.

Answer:  Option A, open up and have a minimum

Answer:

Step-by-step explanation:

25 76

Step-by-step explanation:

Answer: C ( x ≥ -1 )

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Measuring the height of a tree is usually more difficult than measuring the diameter of the tree, confidence interval for the slope is mathematically given as

C=(0.396, 1.712)

Generally, the equation for the confidence interval  is mathematically given as

[tex]C=\beta-tn-2, \alpha /2 (S.E)[/tex]

Where

[tex]\beta=1.054[/tex]

Therefore

C=(1.054-t29, 0.025*0.322)

C=(0.396, 1.712)

In conclusion, the  95 percent confidence interval is

C=(0.396, 1.712)

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Answer:

[tex]x - 2x - 15 \: divided \: by \: x - 3[/tex]

Answer:

x=6 y=2

Step-by-step explanation:

y=2

so 6x+9(2)=-24

6x+18=-24

6x=42

x=6

Answer:

The answer is B.

Step-by-step explanation:

There isn't much to explain.

3/6 people like chocolate ice cream and x/600 where x is the number of people who like chocolate ice cream.

[tex]\frac{3}{6}=\frac{x}{600} \\[/tex]

Cross multiply to solve for x.

6*x = 3*600

6*x = 1800

x = 300

300 people like chocolate ice cream so about half of people like chocolate ice cream compare to 3/6 the same.