1. Ram has 50 apples. He distributed them
to his four siblings in the ratio 5:2:2:2. Find
how many apples will each get?
I

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.

Answer:

x = 50 and y = 10

Step-by-step explanation:

The drawing shows several equal sides.  The triangles are a reflection of each other, so their angles will be the same.

Take the top and bottom angles:

2x + 5 and 3x - 45

They are equal, so:

2x + 5 = 3x - 45

-x = -50

x = 50

The angle y will have the same value as the one below it in the bottom triangle.  Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:

y + (8y-15) + (3x-45) = 180

Rearrange:

y  = 180 - (8y-15) - (3x-45)

y  = 180 - 8y + 15 - 3x + 45

9y = 180 + 15 - 3x + 45

Since x = 50:

9y = 180 + 15 - 3*(50) + 45

9y = 180 + 15 - 150 + 45

9y = 90

y = 10

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

Learn more about probability here:

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[tex](a)\\\\\text{Given that, sin x = cos x }\\\\\text{So,} ~ \tan x = \dfrac{\sin x}{\cos x} = \dfrac{\sin x}{\sin x} = 1\\\\\\(b)\\\\\text{Given that,}\\\\\sin x = \cos x\\\\\implies \dfrac{\sin x}{\cos x} =1\\\\\implies \tan x =1\\\\\implies x = n\pi + \dfrac{\pi} 4 \\\\\text{For interval}~ [0, 2\pi),}\\\\x= \dfrac{\pi}4, \dfrac{5\pi}4~~;[\text{When n = 0,1}]\\\\\text{In degrees,} ~ x= 45^{\circ} , 225^{\circ}[/tex]

[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)

P/s:    [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]

Ok done. Thank to me :>

Answer:

The solution is (3, 5).

Step-by-step explanation:

The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true. On a graph, you can find this solution by searching for the place where the lines intersect.

In this case, it looks like the lines intersect at the point (3, 5), so this is our final answer. Hopefully that's helpful! :)

The solution is (3, 5), this statement describes the solution to the system of equations.

Option B is correct.

Here, we have,

The statement that describes the solution to the system of equations where two lines intersecting at (3, 5) is:

"The point of intersection of the two lines is (3, 5)."

When two lines intersect at a single point, that point is the solution to the system of equations.

In this case, the coordinates (3, 5) represent the x and y values where the two lines cross each other.

This means that both equations are satisfied when x = 3 and y = 5.

The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true.

On a graph, you can find this solution by searching for the place where the lines intersect.

"The point of intersection of the two lines is (3, 5)."

Option B is correct.

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Answer: Neither are functions, so option D

On both tables, one of the inputs has 2 outputs, so no function

Answer: 6%

Step-by-step explanation:

Answer:

you would of read 3 pages

Step-by-step explanation:

Answer:

C.2,134

Step-by-step explanation:

4÷2=2

2÷2=1

6÷2=3

8÷2=4

Answer:

C

Step-by-step explanation:

Had that same question and I just guessed and got it right

Answer:

music test

Step-by-step explanation:

divide each one and find the highest answer.

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

Answer:

3 in 75,341 = the hundreth place.  3 in 293,467 = the thousandth place.

Step-by-step explanation:

Answer:

k translates a function up or down

Step-by-step explanation:

hope this helped :)

2.46

I think.

Because if you multiply 6 and 0.41 you get 2.46.

Answer:

2.46

Step-by-step explanation:

x/6=0.41

Multiply 6 on both sides and you get 2.46

the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)

the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)

Answer:

Rational numbers

Step-by-step explanation:

any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form



hoped that helped

Answer:

Rational numbers

Step-by-step explanation:

These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)

Answer:

sine

Step-by-step explanation:

Answer:

I think it;s 9.8

Step-by-step explanation:

You divide 35 and 28 i think

Answer:

B save your time its the same answer

Step-by-step explanation:

Good Luck!

Answer:

$35

Step-by-step explanation:

if $7 is only 20% of the original price multiply 7×5

-20%×5=100%

same thing as 7×5=35

just switch the percent by its worth

Answer:

the value of ST is 2 of its x is 2

Answer:

1.023,1.032,1.203, and 1.23

Step-by-step explanation:

Answer:

negative

Step-by-step explanation:

The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

Answer:

13

Step-by-step explanation:

Answer:

1 8/11

Step-by-step explanation:

Using a calculator you can determine this information easily. I recommend doing so.

the answer is

1 and 8/11

explanation

Answer:

  6√3 square units

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...

  3(2/√3) = 2√3 . . . . side AB in the attached figure

and

  2·3 = 6 . . . . . . . . . . side AC in the attached figure

Then the area of the triangle is ...

  A = 1/2bh

  A = 1/2(6)(2√3) = 6√3 . . . . square units

The answer:  a° = 180° - 62° = 118°    ,     b° = 62°  ,     c° = (180° - 62°) ÷ 2 = 59°

Ok done. Thank to me :>

Answer:

10

Step-by-step explanation:

if

  a= base 1 (1.5)

  b= base 2 (3.5)

  h= height (4)

[tex]A=\frac{a+b}{2}h=\frac{1.5+3.5}{2} 4[/tex]