the table gives information about the number of points scored by each of 16 students in a game.

number of points - frequency
0 - 1
1 - 3
2 - 5
3 - 4
4 - 3

tina worked out the median of the number of points scored to be 5.

a) explain why it is not possible for the median to be 5?

The equation for hyperbola with given foci is [tex]\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1[/tex]

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

[tex]\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1[/tex]

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is [tex](\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)[/tex]

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

[tex]\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1[/tex]

[tex]\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1[/tex]

Learn more about hyperbola from the given link

https://brainly.com/question/16454195

#SPJ1

Answer:

B

Step-by-step explanation:

Answer:

option a is correct

Step-by-step explanation:

any square is also a rhombus

Answer:

C. 7.203

Step-by-step explanation:

I calculated it logically

The solution is, :  the missing value for the exponential function represented by the table below is 7.203.

Option c.,  7.203

Here, we have,

Exponential sequence is given as

21, 14.7, 10.29, ____, 5.0421

Explicit formula of the function is given by

a_n = a* r^(n-1)

when, we have,

a = first term = 21

r = common ratio

  = 14.7/21

  = 0.7

So the sequence will be

a_n = 21* 0.7^(n-1)

We have to find the forth term of the sequence

  a₄ = 21(0.7)³

      = 7.203

so, we get,

a₄ = 7.203

Option C. 7.203 is the answer.

To learn more on exponent function click:

brainly.com/question/19467739

#SPJ7

Answer:

6

Step-by-step explanation:

2x is x * 2

-2 * 2 = -4

2y is y * 2

5 * 2 = 10

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

-2 times 2 = -4

2 times 5 = 10

10-4 = 6

2x and 2y are Both Different terms.

The first equation will be multiplied by 3 and that of the second by 4.

An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.

Given that are two equations to be solved by using elimination method,

-4x+4y = 32.....(i)

3x-y = 12......(ii)

To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4

-12x+12y = 96.....(iii)

12x-4y = 48....(iv)

Solving the equations, we get,

8y = 144

y = 18

Put y = 18 in eq (ii)

3x-18 = 12

3x = 30

x = 10

Hence, the first equation will be multiplied by 3 and that of the second by 4.

Learn more about elimination method, click;

https://brainly.com/question/12090959

#SPJ1

Graph A is defined by the function y=(x + 2)(x+7) as the graph at y=0 where the function crosses those two points .

The study of mathematics comprises the study of quantities and their variations, equations and associated structures, shapes and their positions, and locations where they can be found. A combination of inputs and corresponding outputs are referred to as a "function," which describes the relationship between them. The term "function" refers to an association between inputs and outputs where each input produces a single, unique result. There are two domains, or scopes, assigned to each function. Usually, the symbol f is used to signify functions (x). input is an x. There are four basic categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

The function's zeros are

0=x+2 x=-2

and

0=x+7 x=-7

Consequently, the graph at y=0 where the function crosses those two points .

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

Step-by-step explanation:

LHS = tanθ/secθ - 1 + tanθ/secθ + 1

Cross multiplication,

tanθ(1 - secθ) - tanθ(1 + secθ)/1 + sec^2θ

= tanθ(1 - secθ - 1 - secθ)/-tan^2θ

= -2secθ/-tanθ

= 2 x 1/cosθ / sinθ/cosθ

= 2cosecθ = RHS

Hence proved.

Given:

A right angle triangle with angles 45, 45, 90 degrees.

Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm

Base of the triangle = t

To find:

The value of t.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio in the given triangle, we get

[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]

[tex]7=t[/tex]

Therefore, the value of t is 7 millimetres.

Answer:

(number of days)/7

Step-by-step explanation:

1 week = 7 days

Divide the number of days by 7 to find the number of weeks.

Yes, 13 is the remainder.

See dat pic for full solution.

Answer:

B: 4 lb shrimp and 8 lb flounder

Step-by-step explanation:

if the price of shrimp is twice the price for flounder, you will have twice as much flounder as you have shrimp, so in terms the only answer that applies to this is B.

Answer:

First Row:

75/100

0.75

75%

Second Row:

10/100 (or 1/10)

0.10

10%

Step-by-step explanation:

Count the squares that are shaded in out of the 100.

Just divide the fraction together for the decimal.

Move the decimal two places to the right to get the percentage

Answer:

4

Step-by-step explanation:

m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4

The transformation in the graph is 1 units vertically downwards.

The correct option is A: The graph of g(x) is the graph of f(x) shifted down 1 unit.

Let the function f(x) and g(x) are two real functions.

And  g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given:

The function f(x) = eˣ,

and the function g(x):

g(x) = f(x)-1= eˣ-1.

The graph of both the functions are given in the attached images.

For the base function f (x) and a constant k, the function given by

The transformations in the graph is defined by:

g (x) = f (x) + k, where k is real numbers.

Function can be sketched by shifting f (x), k units vertically.

The value of k determines the direction of the shift. Specifically,

if k > 0, the base graph shifts k units upward, and

if k < 0, the base graph shifts k units downward.

Here, k = -1

And the graph of g(x) is the graph of f(x) is shifted down 1 unit.

Therefore, the f(x) is shifted to 1 unit downward.

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ1

Answer:

95.25 or 95

Step-by-step explanation:

[tex]C=2\pi r[/tex]

C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95

Hope I helped you my dear friend.

Answer:

A(tomatos)

Step-by-step explanation:

So to sovle these, we have to look at the percentage chart, and take the percentage of each thing.

We know that divide these numbers by 100 gets us the amount we can multiply the total by, which gives us our answer.

So tomato is .3, cucumber is .15, peas are .45, and onion is .1.

Now, lets mutiply these nubmers by the 60 and see what we get:

.1*60

=

6

That seems correcdt for the onion

.45 * 60

=

27. That looks correct for peas.

.15 * 60

=

9 That looks correct for cucumber

.3*60

=

18. Thats not 20! So that must be the answer!

Hope this helps!

9514 1404 393

Answer:

  D

Step-by-step explanation:

Your calculator* can tell you the answer to this. Each expression is evaluated according to the order of operations.

A: 6 + 4/3·3 = 6 +(4/3)·3 = 6 +4 = 10

B: (6 +4/2) -1·3 = 6+2-3 = 5

C: 6 +(4/2) +1·3 = 6 +2 +3 = 11

D: (6 +4)/2 -1·3 = 10/2 -3 = 5 -3 = 2

_____

* If your calculator doesn't properly use the Order of Operations, you should get one that does. The calculator behind the Go.ogle search box reliably uses the order of operations, so you can use it if your own doesn't work properly.

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25[tex]b^{2}[/tex] + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25[tex]b^{2}[/tex]  = -(5)(5) * [tex]b^{2}[/tex]

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * [tex]b^{2}[/tex] +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

Answer:

it's -4 i don't know what you mean by regrouping, sorry

Step-by-step explanation:

Answer:

45-49

=-4 ans!

this is the answer

Answer:

Your answer is B

Step-by-step explanation:

edge = V^1/3

edge = 216^1/3

Answer:

Step-by-step explanation:

Okay, let's do 88/9 = 9 R 7

The R7 will go in the small box, so 7 is your answer

Hope that helps! :)

-Aphrodite

8.96848786347

i think this should be right i did it with my 5th grade math skills and dont wory i have an a+