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In which triangle is the value of x equal to cos−1(StartFraction 4.3 Over 6.7 EndFraction)?

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A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle between the 2 sides is x.
A right triangle is shown. The length of the hypotenuse is 6.7 and the length of another side is 4.3. The angle opposite to side with length 4.3 is x.
A right triangle is shown. The length of the hypotenuse is 4.3 and the length of another side is 6.7. The angle between 2 sides is x.
A right triangle is shown. The length of the 2 sides are 6.7 and 4.3. The angle opposite to side with length 4.3 is x.

Answer:

Step-by-step explanation:

Given

61% of all statistics classes require a statistical calculator.

29% require the use of a computer that has statistical software.

of the classes that require a statistical calculator 16% also require the use of a computer.

if statistics course is selected at random find probability of statistical calculator.

Events

A = calculator

O = computer

P(A) = 0.61

P(O) = 0.29

P(A and O) = 0.16*0.61 = 0.0976

if statistics course is selected at random find probability of statistical calculator.

Answer is part of information given  : P(A) = 0.61

P(calculator | computer)

= P(A & O)/P(O)

= 0.0976/0.29

= 976/2900

= 244/725

(=0.33655 approx.)

p(computer given calculator)

P(O|A) = P(A & O)/P(A)

= 0.0976/0.61

= 976/6100

= 0.16  (as per given information)

Are they mutually exclusive (they means P(calculator | computer) and p(computer given calculator)  ??)

They are not mutually exclusive.  

They are referring to the same thing: classes that use both, BUT using a different sample space.

are they independent

They are not independent.  If they are, the conditional probabilities would be both zero.

Answer:

a. Quantitative

b. Qualitative

c. Qualitative

d. Quantitative

e. Qualitative

f. Quantitative

Step-by-step explanation:

Qualitative measures:

Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.

Quantitative measures:

Answers are numbers in which comparisons are made, or possible operations.

a. The yearly salaries of the employees at a school district.(2pts)

Salaries are numbers, in which comparisons can be made(more or less), so quantitative.

b. The employee numbers of the employees at an accounting firm.(2pts)

Number, but comparisons aren't made with these numbers, so qualitative.

c. The area codes of a sample of 350 residents of nursing homes.(2pts)

Number, but comparisons aren't made with these numbers, so also qualitative.

d. The ages of a sample of 350 residents of nursing home. (2pts)

Number, comparisons made, you can rank by age for example, so quantitative.

e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)

Labels, so qualitative.

f. The IQ index of the students in a statistics class.(2pts)

Students can be ranked by IQ, so quantitative.

2 divided by 32 is 16 so im gonna say 16

16 is ur answer

Answer:

less than 17 minutes

Step-by-step explanation:

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)

Answer:

Answer is 90,000

Step-by-step explanation:

Hope this helps!

Answer:

Its going to be C!

Step-by-step explanation:

the equation is a line in slope form essentially. You can use the equation to get many answers and solutions

Answer:

Up 2 to the right 1

Step-by-step explanation:

that would be i think

Answer:

The length is 8 cm. Since its a square, so the length of both its sides are equal.

l^2=64

where l=length of side

square root both sides

then, l=8

Answer:

8cm is the length of its side.

Step-by-step explanation:

Answer:

7,13,

Step-by-step explanation:

that's just what I think

Answer:i believe the answer is infinite.

Step-by-step explanation:

As we are free to decide what A is then all that has to be done is add the remaining answer to achieve the difference. Example i pick .25 as A which leaves 0.75 to equal 1. Then i use 0.75 and add 1.25 to equal 2. Then again 1.25 plus 2.75 to get 4. A is .25 and D is 2.75 equals 3.

=============================================================

Explanation:

The "given that he is male" stated at the end means we only focus on the male column. This is because we know 100% that the person selected is male. Either we're told this by someone else, or we can determine this another way.

There are 39 males that got the flu shot out of 51 males total. The probability we're after is 39/51 = (3*13)/(3*17) = 13/17

It's effectively saying: out of every 17 males, 13 of them got the flu shot.

Answer:

Step-by-step explanation:

1 to find AB

in triangle ADB

here 4 and 2[tex]\sqrt{6}[/tex]  are the legs of the right triangle so let them be a and b respectively.

AB is the hypotenuse (longest side ) and let it be x

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = AB^2

16 + 4*6 = AB^2

16 + 24 = AB^2

40 = AB^2

[tex]\sqrt{40}[/tex] = AB

[tex]2\sqrt{10}[/tex] = AB

therefore AB =v[tex]2\sqrt{10}[/tex] .Hence proved .

In triangle ADC

here 6 and [tex]2\sqrt{6}[/tex] are the legs of the right angle so let them be a and b respectively. AC is the hypotenuse (longest side) so let it be c

usinfg pythagoras theorem

a^2 + b^2 = c^2

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

36 + 4*6 = AC^2

36 + 24 = AC^2

60 = AC^2

[tex]\sqrt{60}[/tex] = AC

[tex]2\sqrt{15}[/tex] = AC

To prove triangle ABC is a right angled triangle

AD and BD are the legs and AB is hypotenuse

according to pythagoras theorem to be the right angle triangle the sum of square of two smaller sides of a triangle must equal to the square of hypotenuse(longest side)

let two smaller sides be a and b respectively and c be hypotenuse

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = [tex](2\sqrt{10} )^2[/tex]

16 +2^2*6 = 2^2*10

16 + 4*6 = 4*10

16 + 24 = 40

40 = 40

since both sides are equal it is proved that the triangle ABC is a right angled triangle.

Hope this helps u !!

Answer:

2 square root 10

Step-by-step explanation:

firstly you must find the hipotenus using the hipotenus formula AB is the hipotenus

(4)*2 + (2 square root 10)*2 = 40 juat press a calculator if you dont know

and then you press square root of 40 then you will get 2 square root 10 so you already prove that AB is 2 square root 10

9514 1404 393

Answer:

  3.6 cm²

Step-by-step explanation:

Heron's formula is usually used for calculating triangle area from side lengths.

The semiperimeter is ...

  s = (7.2 +1.2 +6.6)/2 = 7.5

Then the area is ...

  A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575

  A ≈ 3.57176 cm²

The area of ΔFGH is about 3.6 square centimeters.

Answer:

Step-by-step explanation:

tis permutation - 6P6 = 6!/0! = 720/1=720

ans is C

There are total 720 ways that Canesha and her friend sit in these six seats.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Here, we have,

For the first seat, Canesha and 5 of her friends can all sit in. So there are a possible of 6 different persons.

For the second seat, because one has already sat down, there are a possible of 5 different persons sitting in the second seat.

Continuing on, the total number of different ways Canesha and her friends can sit in those 6 seats are:

= 6*5*4*3*2*1

= 720

Hence, There are total 720 ways that Canesha and her friend sit in these six seats.

To learn more about combinations from the given link

brainly.com/question/11732255

#SPJ3

Step-by-step explanation:

a.

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

Answer:

is there something missing in this question. i cant understand

Step-by-step explanation:

please tell me if there is more to this

Answer:

No

Step-by-step explanation:

To check if (2,3) is a solution to the system of equations, we simply have to plug the coordinate points into the two equations and see if it is valid.

[tex]2*2+5*3=\\4+15=\\19\\\\19=19[/tex]

(2,3) belongs in the first equation.

[tex]2+16*3=\\2+48=\\50\\\\50\neq 5[/tex]

(2,3) does not belong in the second equation.

Therefore, (2,3) is not a solution to this system of equations.

I hope this helps! Let me know if you have any questions :)

Answer:

6x+10mm=p is the answer

brainlest plz

Step-by-step explanation:

[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]

There are total 108 coins belonging to Asian countries.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.

Let the total number of coins be x,

Establishing the equation, we get,

x/3+x/2+36 = x

Multiplying the equation by 6, we get,

2x+3x+216 = 6x

6x-5x = 216

x = 216

Therefore, the total numbers of coins are 216,

Since, there are 1/2 of total coins are Asian coins,

Therefore, number of Asian coins = 216 / 2 = 108

Hence, There are total 108 coins belonging to Asian countries.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

Answer:

-6,-3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1:2

is your answer

Step-by-step explanation:

Answer:

6/11 you could pull one of the three blues first or one of the three blues second

At least that's my best guess

Answer:

48/121

Step-by-step explanation:

In symbols:

(P blue ∩ P non blue) ∪ (P non blue ∩ P blue)

∩ = *

∪ = +

Since the marble is replaced, the total probability is always the same

(3/11 * 8/11) + (8/11 * 3/11)

24/121 + 24/121 = 48/121

Answer:

-2x³+10x²+6x

Step-by-step explanation:

-2x³+11x²+0x+7

0x³ -  x²+ 6x-7

_____________

-2x³+10x²+6x+0

_____________

Answer:

The Answer is G

Step-by-step explanation:

it looking for the y in the (x,y) x is domain and y is range

Answer:

Choose (D)

y-y1=m(x-x1)

y-2=1/2(x+6)

Answer:

The answer is C

Hope this helped!

Answer:

a) The difference is of 3.222 lbs.

b) 1.64 standard deviations.

c) Z = 1.64

d) Not significant, as the z-score of 1.64 is between -2 and 2.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of all of the weights is x=2.088 ​lb, and the standard deviation of the weights is s=1.968 lb.

This means that [tex]\mu = 2.088, \sigma = 1.968[/tex]

a. What is the difference between the weight of 5.31 lb and the mean of the​ weights?

This is [tex]X - \mu = 5.31 - 2.088 = 3.222[/tex]

The difference is of 3.222 lbs.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

This is the z-score. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.31 - 2.088}{1.968}[/tex]

[tex]Z = 1.64[/tex]

1.64 standard deviations.

c. Convert the weight of 5.31 lb to a z score.

Z = 1.64, as found above.

d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the weight of 5.31 lb​ significant?

Not significant, as the z-score of 1.64 is between -2 and 2.