At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?
A) 0.08
B) 0.11
C) 0.33
D) 0.55

By algebra properties, the x-value such that expression 0.5 · x - 3 = - 4.

In this problem we must determine the value of x such that the following expression is satisfied:

0.5 · x - 3 = - 4

This can be solved by means of algebra properties. First, write the entire expression:

0.5 · x - 3 = - 4

Second, clear the variable x by algebra properties:

0.5 · x = 3 - 4

0.5 · x = - 1

x = - 2

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Answer:

√27

Step-by-step explanation:

3×√3 = 5.196

√27 = 5.196

Answer:

27

Step-by-step explanation:

StartRoot 27 EndRoot cm

explain better or brainliest cant do that

Answer: after 2 monthly price reductions

Step-by-step explanation:

Given that :

Wholesale cost = $20 each

Markup = 50%

Selling price = $20 + (50% * 20) = $30

After each month selling price reduces by 20%;

Dip in price per month for which item didn't sell ;

Let m = Number of months

$30 - 0.2(30)m = $30 - 6m

After how many monthly price reductions did the price dip below the wholesale cost?

$30 - 6m < $20

-6m < $20 - $30

-6m < - $10

m > 10/6

m > 1.667

m = 2

After 2 monthly price reduction

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

9cm<x<17cm

Step-by-step explanation:

your welcome

The range of the possible lengths for the third side is 9 cm < x < 17 cm.

A triangle is a geometrical shape which has three vertices, three edges and three angles. In other words, in Euclidean geometry, a triangle is defined as a two dimensional shape which is three non-collinear points lying on a unique plane.

The sum of the interior angles of a triangle is 180 degrees.

Here we have lengths of two sides of a triangle which are 4 cm and 13 cm.

If the length of two sides of a triangle are given, then the length of third side will lie in the range between the difference of the other two sides and the sum of the other two sides.

Let x represents the third side of the triangle.

So, here the third side lies between 13 cm - 4 cm and 13 cm + 4 cm.

13 - 4 < x < 13 + 4

9 < x < 17

Hence the range of possible lengths for the third side of the triangle is in between 9 cm < x < 17 cm.

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Answer:

-3

Step-by-step explanation:

To find the slope of a line, you need to calculate their [tex]\frac{rise}{run}[/tex] for two points. I will be using the points (-2, 3) and (-1, 0).

[tex]\frac{rise}{run}[/tex] = [tex]\frac{0-3}{-1-(-2)}[/tex]

     = [tex]\frac{-3}{1}[/tex]

     = -3

Angle D and angle B are equal.

Answer:

=(sec2A-1) (cosec2A-1)

Answer:

13

Step-by-step explanation:

5x = 65

x = 65/5

x = 13

Answer:

y=mx+c

Step-by-step explanation:

noice

Answer:

6

Step-by-step explanation:

Answer:

Volume = 100cm³

surface area=

The volume of Triangular Prism is 120 [tex]cm^{3}[/tex] and the surface area of  triangular prism is 184  [tex]cm^{2}[/tex]

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

The volume of a triangular prism is the product of its triangular base area and the length of the prism.

Volume of Triangular Prism = ½ × b × h × l,

where b is the base length of the triangle, h is the height of the triangle, and l is the length of the prism.

The surface area of a triangular prism is the area that is occupied by its surface. It is the sum of the areas of all the faces of the prism.

Surface area = (Perimeter of the base × Length) + (2 × Base Area)

According to the question

Length of the prism. = 10cm

Base length of the triangle = 6 cm

Height of the triangle = 4 cm

1> Volume of Triangular Prism = ½ × b × h × l

                                                =   ½ × 6 × 4 × 10

                                                =  120 [tex]cm^{3}[/tex]

As, Base area  in Triangular Prism base is always triangular part

i.e Base area = 1/2 * 4 * 6

                       =  12 [tex]cm^{2}[/tex]

Perimeter of the base = 5 + 5 + 6

                                     = 16 cm

Length of the prism = 10 cm

Surface area = (Perimeter of the base × Length) + (2 × Base Area)

substituting the value

Surface area = (16 * 10 ) + (2 * 12 )      

                      =  184  [tex]cm^{2}[/tex]

Hence, The volume of Triangular Prism is 120 [tex]cm^{3}[/tex] and the surface area of  triangular prism is 184  [tex]cm^{2}[/tex]

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Answer:

Its the soulable one, i just did it

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]1) : {a}^{5} {b}^{4} {c}^{3} \div {a}^{2} {b}^{3} c \\ \\ = {a}^{5 - 2} {b}^{4 - 3} {c}^{3 - 1} \\ \\ = {a}^{3} {b}^{1} {c}^{2} \\ \\ = {a}^{3} {b} {c}^{2} \\ \\ \\

2)\: (x^2 y^3)^3\\\\

= x^{2\times 3}y^{3\times 3}\\\|

= x^{6}y^{9}\\\\\\

3)\:5 {a}^{4} \div ( {a}^{2} \times 3a) \\ \\ = 5 {a}^{4} \div (3 {a}^{2 + 1} ) \\ \\ = 5 {a}^{4} \div (3 {a}^{3} ) \\ \\ = \frac{5}{3} {a}^{4 - 3} \\ \\ = \frac{5}{3} {a} \\ \\ \\

4)\: \frac{14 {a}^{5} }{2 {a}^{3} \times 7 {a}^{4} } \\ \\ = \frac{14 {a}^{5} }{2 \times 7 {a}^{3 + 4} } \\ \\ = \frac{ \cancel{14} {a}^{5} }{ \cancel{14}{a}^{3 + 4} } \\ \\ = \frac{ {a}^{5} }{ {a}^{7} } \\ \\ = {a}^{5 - 7} \\ \\ = {a}^{ - 2} \\ \\ = \frac{1}{{a}^{2} } \\ \\ [/tex]

Answer:

1.    [tex]a^{5} b^{4}c^{3}:a^{2}b^{3}c=a^{3}bc^{2}[/tex]

2.   [tex](x^{2}y^{3})^{3} =(x^{2} )^{3}(y^{3})^{3}=x^{6}y^{9}[/tex]

3.    [tex]5a^{4}:(a^{2}*3a)=\frac{5a^{4} }{a^{2}*3a } =\frac{5a^{2} }{3a} =\frac{5a}{3}[/tex]

4.    [tex]\frac{14a^{5}} {2a^{3}*7a^{4}} =\frac{2a}{2a^{3} }=\frac{1}{a^{2} }[/tex]

Answer:

The mistake is in step 2

Step-by-step explanation:

We are given h(x)=4-x

Note: Considering h(x)=4-x as in question given there is some issue. If value of h(x) is different the answer would be different.

and g(x)=2x+10

We need to find h(g(x))

h(g(x)) can be found by putting the value of g(x) in h(x)

Steps used by Mario are:

Step 1: h(g(x)) = 4 - x

Step 2: h(g(x)) = 4 - x + 10

Step 3: h(g(x)) = 14 - X

She did mistake in step 2:

The step 2 should be:

h(g(x))=4-(2x+10)

h(g(x))= 4-2x-10

h(g(x))=-6-2x

So, the mistake is in step 2

Answer:

she is correct

Step-by-step explanation:

Answer:

~0.02% chance

Step-by-step explanation:

coin: 1/2 chance

dice: 3/6 chance

cards: 4/52 chance

1/2x3/6x4/52 = 0.02% percent chance

Answer: 64 i believe

Hope this helps :)

Answer:

18x+30=12x-6

Step-by-step explanation:

all you do is distribute

Answer:

The first blank you would need to put "12", for the second one put a minus (-) sign, and for the third box put a "6".

Answer:

value of x is for values that are excludedor or left out

Answer:

what?

Step-by-step explanation:

Answer:

wherw are yiu coms on email kingrizvi218

Answer: It will be an even number.

Step-by-step explanation: ........

Answer:

2.39

Step-by-step explanation:

Answer:

2.3910000000

Step-by-step explanation:

Answer:

23.4x10+913

Step-by-step explanation:

Answer:

1147 okayyyyyyyyyyyyyyyyyyhhhhyhhhhhhyyyyyyyy