Solve for x.
11x – 32 = 31 + 8x
x = [?]

Answer:

15 choose 2 = 105

[tex]=\frac{15!}{2!\left(15-2\right)!}[/tex]

Step-by-step explanation:

You want to find Pr[-2 < Z < -1].

The table tells you that

• Pr[Z < 0] = 0.5000

• Pr[Z < 1.00] = 0.8412

• Pr[Z < 2.00] = 0.9772

• Pr[Z < 3.00] = 0.9987

We have

Pr[-2 < Z < -1] = Pr[Z < -1] - Pr[Z < -2]

(because the distribution of Z is continuous)

… = Pr[Z > 1] - Pr[Z > 2]

(by symmetry of the distribution about its mean)

… = (1 - Pr[Z < 1]) - (1 - Pr[Z < 2])

(by definition of complement)

… = Pr[Z < 2] - Pr[Z < 1]

… = 0.9772 - 0.8412

… = 0.1360 ≈ 0.14 … … … (B)

Answer:

it's B aka 0.10.14

Step-by-step explanation:

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

Complete question is;

A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.

Find the time at which the soccer ball hits the ground.

Answer:

s = 5 seconds.

Step-by-step explanation:

We are given the function;

h(s) = −3s² +75

Where;

h(s) is height at time s

s is the time taken

Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.

Thus;

−3s² +75 = 0

−3s² = -75

s² = 75/3

s² = 25

s = √25

s = 5 seconds.

Answer:

(-2,1) (-2,2) (-1,1) (-1,2)

Step-by-step explanation:

Answer:

9 (or 18)

9 (or 18)

18 (or 36)

Step-by-step explanation:

If B is midpoint if AC, then AB = BC

AB = 3x

BC = 5x - 6

So...

3x = 5x - 6

==> 2x = 6

==> x = 3

AB = BC = 3×3 = 5×3 - 6 = 9

And...

AC is AB + BC (since B is midpoint)

==> AC = 9 + 9 = 18

((Answer may be twice this. Picture is unclear if "3x" and "5x - 6" are values of AB and BC (resp.) or if they are midpoint values of AB and BC, in which case everything would just be doubled (except for x, the 2's would cancel out).))

Answer:

the sin of 28 degree is 28

Step-by-step explanation:

it's the same degree in radians I hope this help

Answer:

TV = 6

Step-by-step explanation:

The distance from the vertex to the centroid is twise the distance from the centroid to the midpoint, then

JV = [tex]\frac{1}{2}[/tex] TJ = [tex]\frac{1}{2}[/tex] × 4 = 2

Then

TV = TJ + JV = 4 + 2 = 6

Answer:

The perimeter 9+9+15+4+3+4pi=52.56 units.

The area is 25.12+135 which is 160.12 unit squared.

Step-by-step explanation:

Perimeter of this shape = perimeter of half circle + perimeter of the rectangle

Diameter of circle = 15-4-3 = 8

Radius of circle = 8/2 = 4

Perimeter of the shape = (2 x pi x 4)/2 + 15 + 9 + 9 + 4 + 3

   = 4pi + 40 = 52.56 units     (substitute pi = 3.14)

Area of shape = area of half circle + area of rectangle

= (pi x 4 x 4)/2  + (9 x 15)

= 25.12 + 135 = 160.12 unit squared

Step-by-step explanation:

I think we are missing some information (angle F or B or a side length would be great).

but just the right angles are not enough to calculate specific numbers. they would depend on the angle F or e.g. the side length of AB.

without any further information F and AB can be freely changed without changing the known facts, but it changes also C, B, G

so, all I can say is C = 180 - B.

and that G = B.

Answer:

ok

Step-by-step explanation:

Consider we need to find the dimensions and volume of the box.

Given:

The shape of the lamp is a rectangular prism.

It measures 14 high, 9 wide, and 3 long.

There is 1 all around the lamp for bubble wrap

To find:

The dimensions and volume of the box.

Solution:

Length of the box is:

[tex]3+2=5[/tex]

Width of the box is:

[tex]9+2=11[/tex]

Height of the box is:

[tex]14+2=16[/tex]

Therefore, the dimensions of the box are 5 by 11 by 16 units.

The volume of the box is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=5, w=11, h=16[/tex], we get

[tex]V=5\times 11\times 16[/tex]

[tex]V=880[/tex]

Therefore, the volume of the box is 880 cubic units.

Answer:

Step-by-step explanation:

Use this formula:

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:

[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:

[tex]520=P(1+.0025)^{36[/tex] and a bit more:

[tex]520=P(1.0025)^{36[/tex] and even  bit more:

520 = P(1.094551401) and divide to get

P = $475.30

Answer:

hypotenuse ≈ 44 inches

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )

Answer:

The correct answer is 2043 km².

Step-by-step explanation:

Given:

Starting area,

A = 2300 km²

Rate of decreasing,

r = 5.75%

Time,

t = 12 years

As we know,

⇒ [tex]y = A(1-r)^t[/tex]

By substituting the values, we get

      [tex]=2300(1-0.0575 )^{12}[/tex]

      [tex]=2300(0.9425)^{12}[/tex]

      [tex]=2300\times 0.8883[/tex]

      [tex]=2043 \ km^2[/tex]

Answer:

14

Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

Step-by-step explanation:

V=1/3 × πr²h

since H=6, R=4

V= π×(4)²×(6)/3

V=96π/3

V=32π

Note: ( we are not given the pie (π) value )

Answer:

Step-by-step explanation:

r = 4

h = 6

pi = 3.14

Formula

V = 1/3 pi r^2 h

V = 1/3 3.14 * 4^2 * 6

V = 1/3 * 3.14 * 16 * 6

V = 100.48

Answer:

17

Step-by-step explanation:

The diagonal forms a triangle.

Use the Pythagorean theorem

Diagonal = sqrt(8^2 + 15^2)

Diagonal = sqrt(64 + 225)

Diagonal = sqrt( 289)

Diagonal = 17

Answer: 17 inches

Answer:

seats in each bus

Step-by-step explanation:

total no.of seats = 64

so, the no.of seats in each bus = 64/2 =32

therefore ,  b denotes the no.of seats in each bus

PLEASE MARK ME AS BRAINLIEST .

Answer:

because they are both in the circle

Step-by-step explanation:

Answer:

b₂ = 5

Step-by-step explanation:

Substitute the given values into the formula

16 = [tex]\frac{1}{2}[/tex] × 4 × (3 + b₂)

16 = 2(3 + b₂) ( divide both sides by 2 )

8 = 3 + b₂ ( subtract 3 from both sides )

5 = b₂

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer: [tex]8d-7[/tex]

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]

Answer:

Distribute -4 to get -8x + 4 > 5 - 3x.

Step-by-step explanation:

Order of operations

Answer:

Distribute -4 to get -8x + 4 > 5 - 3x

Step-by-step explanation:

-4(2x - 1) > 5 - 3x, distribute -4 over (2x-1)

(-4)(2x) +(- 1)(-4) > 5 - 3x

-8x +4 > 5 -3x

Answer:

$1417.50+$4500= 5917.50

Answer:

He made 125% of the required minimum.

Step-by-step explanation:

Percentage:

The percentage that a number b is of a is given by:

[tex]P = \frac{100b}{a}[/tex]

In this question:

Minimum of 48, made 60. The percentage 60 is of 48 is:

[tex]P = \frac{100(60)}{(48)} = 100(1.25) = 125[/tex]

He made 125% of the required minimum.