Consider the given probability histogram of a binomial
random variable.



What are the center and shape of the distribution?
0.4
A. Center: 2
Shape: symmetric

B. Center: 2.5
Shape: symmetric

C. Center: 2.5
Shape: slightly skewed

D. Center: 3
Shape: uniform

Solution:

Your problem → x + 45 = 97x

x+45=97x

⇒-96x+45=0

⇒96x=45

⇒x=45/96

⇒x=15/32

Answer:

13√2

Step-by-step explanation:

The square root of 338 is expressed as √338 in the radical form and as (338)½ or (338)0.5 in the exponent form. The square root of 338 rounded up to 5 decimal places is 18.38478. It is the positive solution of the equation x2 = 338. We can express the square root of 338 in its lowest radical form as 13 √2.

√338 = √13^2x2 = V13^2 x √2 = 13√2

13√2 = 13 x 239/169 = 239/13 = 18.385

Answer: The answer is 120

Step-by-step explanation:

5x4x3=60   6x4x5+120 divided by 2= 60

                               60+60= 120

Answer:

A. (2, 0)

Step-by-step explanation:

The function crosses the x-axis at point (2,0). Therefore, that is the x-intercept.

hope this helps :)

Answer:

  k = -1/2 or 2

Step-by-step explanation:

For equations ...

  ax +by +c = 0

  dx +ey +g = 0

Cramer's Rule tells you the solutions are ...

  x = (-ce +gb)/(ae -db)

  y = (-ga +dc)/(ae -db)

In order for these equations to be consistent, the solution for any pair of them must be the same. It is sufficient for us to find 'k' such that the values of x are the same.

__

first and third equations

  x = (-1·7 +1·(k+1))/(1·7 -3·(k+1)) = (k -6)/(4-3k)

second and third equations

  x = (3·7 +1·5)/(2k·7 -3·5) = 26/(14k -15)

__

For these values to be the same, we must have ...

  (k -6)/(4-3k) = x = 26/(14k -15)

  (k -6)(14k -15) = (4 -3k)(26) . . . . . cross multiply

  14k² -99k +90 = -78k +104 . . . . . simplify

  14k² -21k -14 = 0 . . . . . . . . . . . . . put in standard form

  7(2k +1)(k -2) = 0 . . . . . . . . factor

The solutions are the values of k that make the factors zero: k=2, k=-1/2.

These equations will be consistent if k = -1/2 or k = 2.

_____

Additional comment

Using our above expression for x, we can find the value of x for the solution x = -1/2 to be ...

  x = 26/(14(-1/2) -15) = 26/(-22) = -13/11

The first equation tells us the corresponding value of y will be ...

  x +(-1/2 +1)y +1 = 0

  y = -2(x+1) = -2(-13/11 +11/11) = 4/11

For k = -1/2, (x, y) = (-13/11, 4/11).

The attached graph shows the solution for k=2.

For k = 2, (x, y) = (2, -1).

The ladder makes an angle 30 degrees with the ground

Data;

Length of the ladder (hypothenuse) = 30 ft

height of the wall (opposite) = 15 ft

When the ladder reclines on the wall, it forms a right-angle triangle and we can solve it.

Using SOHCAHTOA,

We have the value of hypothenuse and opposite and we can use the sine angle of this triangle.

The ladder makes an angle 30 degrees with the ground.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

Step-by-step explanation:

Answer:

I think that it is the one on the bottom left

Step-by-step explanation:

I am so sorry if it is wrong he he

Answer:

5 feet long and 1 foot long and vise versa.

Step-by-step explanation:

Answer:

√41

Step-by-step explanation:

Pythagorean Theorem:

a^2+b^2=c^2

4^2+5^2=c^2

16+25=c^2

41=c^2

√41=c

6 x 13^2=1,014

A=1,014 in

The surface area of the cube is 1,014 square in

Answer:

7,24,20

Step-by-step explanation:

The perimeter is simply the lengths of the sides, added up
n+4n-4+4n-8=9n-12=51 cm
9n=51+12
9n=63
n=7

plug in 7 for n to get:
7,4*7-4,4*7-8
or
7,24,20

Answer:

Different

Step-by-step explanation:

Diversity is a noun that means the state or fact of being diverse; difference; unlikeliness. Variety; multiformity. A state of difference.

Answer:

discount: 30% sale price: $98

Step-by-step explanation:

Simply multiply 140 by 70%(0.7) to get 98

Answer:

2.8x - 7.56

Step-by-step explanation:

1.8(x-4.2) + x

= 1.8x - 1.8(4.2) + x

= 2.8x - 7.56

hope this helps!

Answer:

[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]

The Undefined term is csc(3pi) and  sec(-pi/2) .

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.

Thus, csc(3pi) is undefined

and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.

Thus, sec(-pi/2) is also undefined.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

6 & 4

8 & 3

12 & 2

1 & 24

Step-by-step explanation:

Any pair of numbers whose product is 24

The number 24 multiplied by 10 results in 240

Hope this helps

Answer:

x = 6.40

Step-by-step explanation:

The formula to find the area of the rectangle is :

Area = Length × Width

Given that,

Area ⇒ 50

Length ⇒ ( 2x - 5 )

Width ⇒ x

So now we can write an expression like this.

Area = Length × Width

50  = x ( 2x - 5 )

And now we can solve for x.

Let us solve now by using the completing square method.

x ( 2x - 5 ) = 50

2x² - 5x = 50

First divide the whole equation by 2.

x² - 2.5 = 25

x² - 2.5 + 1.5625 = 25 + 1.5625

( x - 1.25 )² = 26.5625

x - 1.25 = ±√26.5625

x  - 1.25 = ±5.1538

So,

x = + 5.1538 + 1.25                           or        x = - 5.1538 + 1.25

x = 6.40                                                       x = -3.90

As we cannot get a negative number as a value for length,

x = 6.40

Answer:

300

Step-by-step explanation:

Let y = unknown number

30% of y = 90

⇒ 0.3 × y = 90

⇒ y = 90 ÷ 0.3

⇒ y = 300

Answer:

7.8 rounding up to 8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Use the formula:

The slope equation using the equation of line is given as, y = mx + b, here, m is the slope and b is the y-intercept.

choose any 2 rows and plot them into the formula.

(-2)-1/(-2)-(-1) = 3

Answer: 3 or C

Step-by-step explanation:

Answer:

A. $1 less

Step-by-step explanation:

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

Answer: 936

Step-by-step explanation:

36 x 4 = 144

$144 = 1 hour of work

so for 6 hours of work, you'd do 144 x 6 = 864

Since 30 minutes is 2 outta 4 quarters, then you'd do 36 x 2 which is 72

so 72 + 864 = 963

So 6 hours and 30 minutes would be $936

Hope this helps.

Answer:

  y = e·x

Step-by-step explanation:

The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.

__

  y = (e^x)(x^2 -2x +2

  y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x

  y' = (e^x)x^2 . . . . . simplify

For x=1, the slope is ...

  y' = (e^1)(1^2) = e

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)

  y = e·x -e +e . . . . . add e

  y = e·x . . . . . . . . . . equation of the tangent line

__

Additional comment

It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.

Answer:

A fully functioning forest has a great capacity to regenerate. But exhaustive hunting of tropical rainforest wildlifecan reduce those species necessary to forest continuance and regeneration. For example, in Central Africa, theloss of species like gorillas, chimps, and elephants undercuts the seed dispersal and slows the recovery.

Step-by-step explanation:

Answer:

[tex]408cmx^{2}[/tex]

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·6+24·6+24·2)= 408cm²

length= 6

width= 2

height= 24

the area if the box.

[tex]a = lwh[/tex]

[tex]a = 2(wl + hl + hw)[/tex]

[tex]a = 2 \times (2.6 + 24.6 \times + 24.2)[/tex]

[tex]a = 408 {cm}^{2} [/tex]

therefore, the area of the box is 408 square centimeters.

Answer:

? = 13. 35

Step-by-step explanation:

By using Pythagorean Theorem

H² = P² + B ²

=> 17² = P² + 10²

=> 289 = P² + 100

=> 289 - 100 = P²

=> 189 = P²

=> √189 = P

or P = 13.75

Answer: B. hours

Step-by-step explanation:

    Let us closely look at the varible t it gives, the one we are looking at units for. "t stands for the amount of time the workers have left to clean the windows"

         "t stands for the amount of time ..."

    The only unit they give that represents time is hours, meaning the answer to your question is:

     B. hours

Answer:

[tex]60 \%[/tex]

Step-by-step explanation:

Among the 15 cars ,only 9 cars with a fuel efficiency less than 32 mpg :

27,22,18,23 , 30 , 19,16,28,21

[tex]\text{the percentage} =\frac{9}{15} \times 100=60 \%[/tex]

Answer:

X=37.56

Step-by-step explanation: