A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling the number 4.

Answer:

1

Step-by-step explanation:

sec⁴x-tan⁴x÷sec²x + tan²X

= sec⁴x-tan⁴x/sec²x + tan²X

= (sec²x)²-(tan²x)²/sec²x + tan²X

Using the difference of two square

a² - b² = (a+b)(a-b)

(sec²x)²-(tan²x)² = (sec²x + tan²X)(sec²x - tan²X)

= (sec²x)²-(tan²x)²/sec²x + tan²X

= (sec²x + tan²X)(sec²x - tan²X)/sec²x + tan²X

= sec²x - tan²X

Also sec²X = 1 + tan²X

Substitute

=  1 + tan²X- tan²X

= 1

Hence the value of the expression is 1

Answer:

You need to provide an image or some sort of attachment, since there is no context to this question or any data one could answer off of.

Step-by-step explanation:

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Answer:

Are you asking, given b = 3, write an equation that passes through the point (3,1)?

Answer:

[tex]\displaystyle \frac{8}{x - 11}, x \neq 2, 11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{8x - 16}{x^2 - 13x + 22}[/tex]

Step 2: Simplify

We know that x cannot equal 11, because that would give us a divide by 0 error and we know that x cannot equal 2 because it was canceled out when simplifying.

Answer:

The perimeter of the enlarged rectangle is 36 inches.

Step-by-step explanation:

Perimeter of an enlarged figure:

To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.

In this question:

Perimeter of the original rectangle: 12 inches

Scale factor: 3

Perimeter of the enlarged rectange:

12*3 = 36 inches

Answer:

Step-by-step explanation:

80x(1+0.15)=80x1.15

                 =92

Answer:

964 = 4

204 = 4

459 = 400

468 = 400

Answer:

The perimeter of the rhombus is approximately 19.999.

Step-by-step explanation:

First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:

Segment AC

[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]

[tex]AC \approx 9.899[/tex]

Segment BD

[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]

[tex]BD \approx 1.414[/tex]

The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:

[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]

[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]

[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]

[tex]p \approx 19.999[/tex]

The perimeter of the rhombus is approximately 19.999.

Answer: Down Below

Step-by-step explanation:

Surface Area(rectangular prism) = 192 cm^2

Area(square) = 16cm^2

Area(square) = LW or S^2

Area = 16cm^2

Answer:

area would be 98.35

Step-by-step explanation:

the area is 98.35 units squared

Answer:

d) -4

Step-by-step explanation:

-9.4 - 2.4b = 0.2

-2.4b = 9.6

b = -4

good luck, i hope this helps :)

Answer:Portion put up on Wednesday =1/12

Step-by-step explanation:

Since we are dealing with fraction

Let the total fence = 1 whole

such that fence put up on Monday = 3/4

and fence he put p on Tuesday = 1/6

Since he put up the rest on Wednesday, To find the portion put up we have that

Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)

=1- ( 3/4 + 1/6)

= 1-  18+ 4/ 24

=1- 22/24

= 2/24

Portion put up on Wednesday =1/12

Answer:

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

13*5=65

Answer:

13

Step-by-step explanation:

the other ones if you multiplyed they would go over the number

Answer:

T=62

U=33

V=85

Step-by-step explanation:

Answer:

a.) [tex]\frac{1}{6}[/tex]

b.) [tex]\frac{3}{15}[/tex]

c.) [tex]\frac{27}{36}[/tex]

Step-by-step explanation:

Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability

             of it landing on any number between [1-6] is equi- probable

             (i.e., [tex]\frac{1}{6}[/tex]).

To find - (a) Find the probability that doubles are rolled.

               (b) Given that the roll results in a sum of 6 or less, and  

                    the conditional probability that doubles are rolled.

               (c) Find the probability that the larger of the two die's outcomes

                    is at least 4.

Proof -

As given , two fair 6-sided dice is rolled.

The sample space is as follows :

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

        (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

        (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

        (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

        (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

        (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)  }

Total number of outcomes = 36

a.)

Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }

Total number of possible outcomes = 6

So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]

b.)

Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

Now,

Total outcomes = 15

Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )

So, Probability = [tex]\frac{3}{15}[/tex]

c.)

Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

Total possible outcomes = 27

So, Probability = [tex]\frac{27}{36}[/tex]

Answer:

hi

Step-by-step explanation:

Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.

Answer:

0.2 = 20% probability that a student takes Spanish and engineering

Step-by-step explanation:

We solve this question treating the probabilities as Venn sets.

I am going to say that:

Event A: Student takes Spanish

Event B: Student takes Engineering.

35% of students take spainsh or engineering.

This means that [tex]P(A \cup B) = 0.35[/tex]

30% of students take Spanish.

This means that [tex]P(A) = 0.3[/tex]

25% of students take engineering.

This means that [tex]P(B) = 0.25[/tex]

What is the probability that a student takes Spanish and engineering?

This is [tex]P(A \cap B)[/tex].

These probabilities are related by the following formula:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Replacing the values

[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]

0.2 = 20% probability that a student takes Spanish and engineering

Answer:

a) 3 hrs 35 mins

b) 2 hrs 45 mins

c) 4 hrs 30 mins

d) 4 hrs 5 mins

Step-by-step explanation:

The difference, in hours and minutes, between these times are;

a) 3 hrs 35 mins

b) 2 hrs 45 mins

c) 4 hrs 30 mins

d) 4 hrs 5 mins

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The difference, in hours and minutes, between these times can be calculated as;

a) 13 40 and 17 15

13 :40 - 17 : 15

= 3 hrs 35 mins

b) 11 :25 and 14: 10

11 :25 - 14: 10

= 2 hrs 45 mins

c) 2:50 am and 7:20 am

2:50 am - 7:20 am

=  4 hrs 30 mins

d) 10:35 am and 2:40 pm

10:35 am - 2:40 pm

= 4 hrs 5 mins

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

bam

Step-by-step explanation:

bam

Answer:

$28.80 I hope that helps if not I'm sorry if it's wrong

Step-by-step explanation:

we write "dollars per cubic yard" as "dollars/yd^3" so that the units "yd^3" will cancel when multiplying by "1.2 yd^3", leaving an answer in units of dollars

24 dollars / yd^3 * 1.2 yd^3 = 28.80

the cost would be $28.80

Answer:

Kindly check explanation

Step-by-step explanation:

Dr. Jones conclusion was based on probability which measures the degree of likelihood of an occurrence or event. In his experiment, the result could be interpreted using point estimate to mean that ; 78/100 = 0.78 or 78% of those who drank while pregnant has problem with attention while only 29/100 = 0.29 or 29% of those who did not drink.

This conclusion means that pregnant women who drink have a higher likelihood of giving birth to a child with attention problem than pregnant women who do not drink. Hence, the fact that someone who drank gave birth to a perfectly healthy child does not discredit or annull Dr. Jones study.

Answer:

Step-by-step explanation:

[tex]tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m[/tex]

9514 1404 393

Answer:

  999 meters

Step-by-step explanation:

The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

We want to find the hypotenuse, so we use the rearranged form ...

  hypotenuse = (mountain height)/sin(33°)

  lift length = (544 m)/sin(33°) ≈ 998.83 m

The length of the lift from bottom to top is about 999 meters.

Answer:

5000inches

Step-by-step explanation:

i think is that!

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

Check the attachment(s) for the graphs pertaining to the question

No. 1) Check graph [first attachment]

No. 2) y = (x - 2)^2 - 3, y = 1

           (x - 2)^2 - 3 = 1,

           (x - 2)^2 = 4

            x - 2 = √4, x - 2 = - √4

            x = 4, x = 0

Substitute back to determine the respectively y-value:

y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1

Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1

So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.

Answer:

20

Step-by-step explanation:

Answer:

5g-4/4your answer right answer

Step-by-step explanation:

we have to find value of g ????