Answer to this math question please

Answer:

tan²x + tan x - 12 = 0 (1)

suppose: tan x = t

(1)=> t² + t - 12 = 0

a = 1    b = 1     c = -12

⇒ Δ = b² - 4ac = 1 + 48 = 49 > 0 => has 2 solutions

=> t = [tex]\frac{1+\sqrt{49} }{2}=\frac{8}{2}=4[/tex]

or t = [tex]\frac{1-\sqrt{49} }{2}=\frac{-6}{2}= -3[/tex]

because t = tan x => tan x = 4 or tan x = -3

because x ∈ [0;2pi) => with tan x = 4 => x = arctan(4)  or x = arctan(4) + pi

                                     with tan x = -3 => x = arctan(-3) + pi

Step-by-step explanation:

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

Answer:

5.36/20

0.268 dollars per oz

Step-by-step explanation:

Answer:

22% are undecided

36% plan to vote Republican

42% plan to vote Democratic

Step-by-step explanation:

Take 318 and divide it by 750 to find the democratic vote. Round to the nearest whole number.

318/750 = 0.424

Same for Republican except take 268 and divide by 750.

268/750 = 0.357

Add both percentages together. 36% + 42% = 78%

So there is 22% of the population that either did not answer or are undecided.

The correct answers are:

22% are undecided

36% plan to vote Republican

42% plan to vote Democratic

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Resident = 750

Out of which 318 planned to vote for the Democratic candidate, 268 planned to vote for the Republican candidate.

So, 318/750 = 0.424

                    = 42.4%

and, 268/750 = 0.357

                       = 35.7%

So, the percentage who decided to vote = 36% + 42% = 78%

Hence, there is 22% of the population that either did not answer or are undecided.

Learn more about probability here:

https://brainly.com/question/11234923

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Answer:

To round 3.897 to the nearest tenth consider the hundredths’ value of 3.897, which is 9 and equal or more than 5. Therefore, the tenths value of 3.897 increases by 1 to 9.

3.897 rounded to the nearest tenth = 3.9

the graphing would be easier to use because it demonstrates the numbers that are in the situation

Answer:

reduce 3/6 to lowest terms which would be, 1/2 because 3 goes into 3 once and 3 goes into 6 twice.  

Making your equation simplified to

1/2 + 1/2

which is equal to 1

1/2 + 1/2 = 1

Step-by-step explanation:

Hope this helps! Have a fantastic day and please mark brainliest

Answer:

3/6+1/2

find the lcm of 6&2 = 6

3+3/6= 6/6 = 1

Answer:

width is 33

Step-by-step explanation:

width (b) =?

length(l)=3

perimeter (p)=?

now,

perimeter = 2(l+b)

or,72= 2(3+ b)

or,72/2= 3+b

or,36= 3+b

or,36-3= b

or,33= b

therefore width is 33

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.

Answer:

Step-by-step explanation:

you have a right triangle,

a^2+b^2=c^2

10^2=4^2+b^2

100=16+b^2

100-16=b^2

84=b^2

b=9.16

Answer:

did u mean "what is x + 4 for x = 3"? Cuz if so then it is 7

Step-by-step explanation:

x + 4

Substitute the x with 3 since it was already given

3 + 4

7

Answer:

The population is: all glass recycled

The sample is: the 10 selected glass items.

The parameter is the proportion of: all his glass that is clear

The statistic is the proportion of: the selected glass that is clear

The population of a distribution is the entire group, while the sample is the selected group from the entire group.

From the question, we understand that glasses are recycled and then separated into colors.

This means that, the population is all glass recycled

From the question, we understand that he randomly grabs 10 glass items, and then determine the proportion of clear glasses.

This means that, the sample is the 10 selected glass items.

This is the value that summarizes all the glasses that are being recycled.

So, the parameter is the proportion of all his clear glasses

This is the value that summarizes the selected glasses.

So, the statistic is the proportion of the selected glass that is clear

Read more about samples and population at:

https://brainly.com/question/15683425

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

Answer:

Step-by-step explanation:

Total number marbles Stacia has = 28

The ratio of red to blue marbles = 1 : 6

As the total number of marbles is 28. Thus,

r + b = 28

As the ratio of red to blue marbles is 1 to 6.

It means for each red marble 'r', we have 6 blue 'b' marbles. Thus,

b = 6r

now substituting b = 6r in the equation r + b = 28

r + b = 28

r + 6r = 28

7r = 28

divide both sides by 7

7r/7 = 28/7

r = 4

Thus,

The total number of red marbles ⇒ r = 4

The total number of blue marbles ⇒ b = 6r = 6(4) = 24

Therefore,

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

2.4 or 2 2/5 bottles of water

Answer:

49.298

Step-by-step explanation:

Radio × π²

5×3.14²

5×9.8596

49.298

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer:

im guessing because its a slope were trying to find the slope intercept so y1~mx1+b on desomos or y=mx+b in actual equation form

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  y = 3

Step-by-step explanation:

The line of symmetry is the horizontal line halfway between the top and bottom of the image. The y-value there is 3, so the horizontal line has equation ...

  y = 3

Answer:

D. 1/3

Step-by-step explanation:

Hope this helps!!!

Answer:

first one is 2 Times bigger that the second one so ? = 1.5 i guess

Answer:the answer is c

Step-by-step explanation:

Answer:

x = 16 is the answer

Step-by-step explanation:

Complete question :

Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"

Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.

If a population is 5000

Answer:

blank A: 3450

blank B: 3750

Step-by-step explanation:

Number of inhabitants surveyed = 880

Population size = 5000

Error margin = 3%

Percentage that answered 'yes' = 72%

The confidence interval :

Mean ± Error margin

Lower Bound = 72% - 3% = 69% = 0.69

Upper bound = 72% + 3% = 75% = 0.75

Since the question want us know the overall inhabitants of the kingdom who fall between this interval :

Blank A = lower boundary = 0.69 * 5000 = 3450

Blank B = upper boundary = 0.75 * 5000 = 3750

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation: