What is the value of x?

Answer:

The probability that the pitcher throws exactly 8 strikes out of 15 pitches is approximately 0.199

Step-by-step explanation:

The given probability that the pitcher throws a strike, p = 0.507

The number of pitches thrown by the pitcher = 15 pitches

The probability that the pitcher does not throw a strike, q = 1 - P

∴  q = 1 - 0.507 = 0.493

By binomial theorem, we have;

[tex]P(X = r) = \dbinom{n}{r}p^{r} \cdot q^{n-r}= \dbinom{n}{r}p^{r} \cdot \left (1-p \right )^{n-r}[/tex]

When X = r =  8, and n = 15, we get;

The probability that the pitcher throws exactly 8 strikes out of 15 pitches, P(8), is given as follows

P(8) = ₁₅C₈ × 0.507⁸ × (1 - 0.507)⁽¹⁵ ⁻ ⁸⁾ = 6,435 × 0.507⁸ × 0.493⁷ ≈ 0.199

Answer:

(x + 3) (x - 3)

Step-by-step explanation:

[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3

x^2 - 3^2 =

x^2 - 9 =

(x + 3)

(x - 3)

Answer:

Step-by-step explanation:

x²-9=x²-3²

Answer:

Option 3 is correct

tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Step-by-step explanation:

1.[tex]\frac{1 in}{2.54 cm}=\frac{7 in}{17.68 cm}[/tex]

1 in=2.54 cm

[tex]7 in=2.54\times 7=17.78 cm[/tex]

[tex]\frac{1 in}{2.54 cm}=\frac{1 in}{1 in}=1[/tex]

[tex]\frac{1 in}{2.54 cm}\neq \frac{7 in}{17.68 cm}[/tex]

Hence, it is not correct.

2.[tex]\frac{1 ft}{12 in}=\frac{7ft}{74 in}[/tex]

1 foot=1 2in

[tex] 7ft=7\times 12=84 foot[/tex]

[tex]\frac{1 ft}{12 in}=1[/tex]

[tex]\frac{7ft}{74 in}\neq 1[/tex]

[tex]\implies \frac{1 ft}{12 in}\neq \frac{7ft}{74 in}[/tex]

Hence, it is not correct.

3.[tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

1 yd=36 in

[tex]\frac{1yd}{36 in}=\frac{36}{36}=1[/tex]

[tex]7yd=7\times 36=252 in[/tex]

[tex]\frac{7yd}{252 in}=\frac{252 in}{252 in}=1[/tex]

[tex]\implies \frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Hence, it is correct.

4.[tex]\frac{1 m}{3.28ft}=\frac{7m}{22.86ft}[/tex]

1 m=3.28 ft

[tex]\frac{1 m}{3.28ft}=\frac{3.28}{3.28}=1[/tex]

[tex]7m=7\times 3.28=22.96 ft[/tex]

[tex]\frac{7m}{22.86ft}\neq 1[/tex]

[tex]\frac{1 m}{3.28ft}\neq \frac{7m}{22.86ft}[/tex]

Hence, option is not correct.

Answer:

.....how when the dimensions are not even clear lol

Answer:

48 cm³

Step-by-step explanation:

the volume of a rectangular prism= length × breadth × height

= 8× 3 × 2

= 48 cm³

Answer:

The value of x is 18°

Step-by-step explanation:

Sum of the angles are 180°

3x+126=180

3x=180-126

3x=54

x=18

Answered by GAUTHMATH

Answer:

hope it helps

Answer:

[tex]\frac{125}{999}[/tex]

Step-by-step explanation:

Process of Elimination,  the decimal is 0.125 repeating

[tex]\frac{1}{8}[/tex] as a decimal is 0.125

[tex]\frac{1}{4}[/tex] as a decimal is 0.25

(Those two should've been easy to eliminate)

[tex]\frac{125}{1000}[/tex] as a decimal is 0.125  (since there are three zeros in the denominator, you move the decimal three spots to the left.)

This leaves us with:

[tex]\frac{125}{999}[/tex] If you divide 125 ÷ 999 you get 0.125125125...

Hope this helps Stay safe:)

Answer:

A,C,D.

Step-by-step explanation:

Answer:

Part A

Group A is a cluster of points with similar property or relationship.

Point B is an outlier. This is the point outside of the common relationship.

Part B

There is a negative tendency. As number of hours spent on computer games increase, the test scores decrease.

Step-by-step explanation:

so basically A, and B

Answer:

8 more players

Step-by-step explanation:

There are already 4 players including Jeff, so in order to have more players, they need from 1-8 more players.

Have a good day!!!!

Answer: ~15.05267 (im not sure though i just used a calculator)

Answer:

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ¯ツ

Answer:

6) [tex]x^2 -4x+1[/tex]

7)   26x-1y +4z

Step-by-step explanation:

long division

      ____[tex]x^{2}[/tex]__-4x__+1____

x-2 | [tex]x^3-6x^2+9x-2[/tex]

  -    [tex]x^3-2x^2[/tex]

       -----------

             [tex]-4x^2+9x[/tex]

             [tex]-4x^2+8x[/tex]

        ----------------

                x-2

                x-2  

Answer:

0.7

Step-by-step explanation:

.

Answer:  b) 0.7

Just copy that into mathswatch :>

Answer:

Step-by-step explanation:

The standard vertex form of a quadratic (which is what your graphs are) is

[tex]y=(x-h)^2+k[/tex] where h and  are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:

[tex]y=(x-(-4))^2+1[/tex] which simplifies down to

[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

The point is inside. I used Desmos and it showed this.

aand (-4,2) can be placed inside the circle.

Step-by-step explanation:

Answer:

number 1 is C number 2 is A and number 3 is D

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

Answer: i need the formula to help i promise i will but i need the formula for the slanted f

Step-by-step explanation:

Answer:

is 34

Step-by-step explanation:

^<- this is the square sing

f(1)+f(-2) for f(x)=4x^2+7

f(1)=4(1)^2+7

=4+7

f(1) =11

f(-2)=4(-2)^2+7

if you square -2 there will not be no -

-2 the whole square is 4

=4(4)+7

f(-2)=23

f(1)+f(-2)=11+23=34

:. The answer is 34

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.

[tex]\displaystyle\ 60^2 =36(36+x)\\\\1296+36x=3600\\\\36x=2304\\\\\boxed{x=64}[/tex]

Step By Step Explanation:

Calculate 60 to the power of 2 and get 3600.

Use the distributive property to multiply 36 by 36 + ×.

Swap sides so the all variable terms are on the left hand side.

Subtract 1296 from both sides.

Subtract 1296 from 3600 to get 2304.

Divide both side by 36.

Divide 2304 by 36 to get 64

My Answer is

Answer:

(x,y) right arrow (negative x , y)

Step-by-step explanation:

Mathematically, when we reflect a point over the x-axis; we have a result

The result is that the x- coordinate of the point reflected takes up a negative value

so what we have here is that;

(x,y) becomes (-x,y) once reflected over the y-axis

So, traditionally, we add the arrow

So our answer is thus;

(x,y) right arrow (negative x , y)

Answer:

A.

Step-by-step explanation:

ANSWER:

10 units

EXPLAINATION:

The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.

Answer:

Number of terms: 2

Degree: 1

Step-by-step explanation:

✔️A term can either be a coefficient with a variable, a variable, or a constant.

In the polynomial given, 10y + 2, there are two terms:

First term is a coefficient with a variable = 10y

Second term is a constant = 2

The two terms are: 10y and 2

✔️Degree of a polynomial is the highest exponents possessed by any of its term.

10y has an exponent of 1.

The degree of the polynomial therefore will be 1

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)

Answer:

(8.7×100)cm=870cm

870cm/20cm=43.5

so 43 20cm can be cut

Answer:

2

Step-by-step explanation:

=> x + 3 = 5

=> x = 5-3

=> x = 2

Answer:

x=2

Step-by-step explanation:

x=5-3

x=2

value of x is 2

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]

Then the total surface area for 200 cylinders will be:

[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

[tex]\displaystyle V=\pi r^2h[/tex]

Since r = 1.2 and h = 6.4:

[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]

Thus, approximately 4895 containers can be filled.

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

y = 6x + 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 1 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes, then

y = 6x + c ← is the partial equation

To find c substitute (- 3, 4 ) into the partial equation

4 = - 18 + c ⇒ c = 4 + 18 = 22

y = 6x + 22 ← equation of parallel line

Hello,

Why "Multiply the polynomial by distribution"  ?

It's s t u p i d, you compliquate the equation.

In order to find the roots of P(a)=(a-3)(a²+2a-6)=0

a²+2a-6

=(a²+2a+1)-7

=(a+1)²-7

=(a-√7)(a+√7)

P(a)=(a-3)(a-√7)(a+√7)

Roots are 3,√7 and -√7

(If i have well understood the question , sorry if not)

Answer:

c

Step-by-step explanation:

just took it

Answer:

D. 1

Step-by-step explanation:

CA = 17

ZA = 16

CZ + ZA = CA

CZ + 16 = 17

CZ = 1

D. 1