Decimal point strategy question please help and fill in the blanks.

Given:

A bowl contains 25 chips numbered 1 to 25.

A chip is drawn randomly from the bowl.

To find:

The probability that it is

a. 9 or 10?

b. even or divisible by 3?

c. divisible by 5 and divisible by 10?

Solution:

a. We have,

Number of total chips = 25

Favorable out comes are either 9 or 10. So,

Number of favorable outcomes = 2

The probability that the selected chip is either 9 or 10 is:

[tex]\text{Probability}=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{2}{25}[/tex]

Therefore, the probability that the selected chip is either 9 or 10 is [tex]\dfrac{2}{25}[/tex].

b. The numbers that are even from 1 to 25 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.

The numbers from 1 to 25 that are divisible by 3 are 3, 6, 9, 12, 15, 18, 21, 24.

The numbers that are either even or divisible by 3 are 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24.

Number of favorable outcomes = 16

The probability that the selected chip is either even or divisible by 3 is:

[tex]\text{Probability}=\dfrac{16}{25}[/tex]

Therefore, the probability that the selected chip is either even or divisible by 3 is [tex]\dfrac{16}{25}[/tex].

c. The numbers from 1 to 25 that are divisible by 5 are 5, 10, 15, 20, 25.

The numbers from 1 to 25 that are divisible by 10 are 10, 20.

The numbers that are divisible by both 5 and 10 are 10 and 20.

Number of favorable outcomes = 2

The probability that the selected chip is divisible by 5 and divisible by 10 is:

[tex]\text{Probability}=\dfrac{2}{25}[/tex]

Therefore, the probability that the selected chip is divisible by 5 and divisible by 10 is [tex]\dfrac{2}{25}[/tex].

Given:

[tex]m\angle ACD=45^\circ[/tex]

Point B is the center of the base.

Each side of the base = 10 cm

To find:

The height of the pyramid.

Solution:

It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

Putting [tex]a=10[/tex] in the above formula, we get

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

It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,

[tex]BC=\dfrac{d}{2}[/tex]

[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]

[tex]BC=5\sqrt{2}[/tex]

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]

[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]

[tex]5\sqrt{2}=h[/tex]

[tex]7.0710678=h[/tex]

Round the value to the nearest integer.

[tex]h\approx 7[/tex]

The height of the pyramid is about 7 cm. Therefore, the correct option is A.

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

Answer:

No

Step-by-step explanation:

Answer:

The slope should be -3.

Step-by-step explanation:

:)

The graph A , graph C, could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Given four graphs of different nature as options.

We are required to find the graph that is not continuous variable.

Continuous lines are those lines which when decreases, decreases with continuity and when increases,increases with continuity.

When we observe the graph A,graph C. In these graphs the value of function keeps increasing and decreasing a lot and not in continuity.

Hence graph A, graph C could not possibly be density curves for a continuous random variable is they were provided with the right scale.

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Answer:

The answer is A, D, and E.

Step-by-step explanation:

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

Answer:

Step-by-step explanation:

sin A = opposite/hypotenuse

=5/13

cos A =adjacent/hypotenuse

=12/13

tan A =opposite/adjacent

=5/12

cosec A = hypotenuse/opposite

=13/5

sec A = hypotenuse/adjacent

=12/5

cot A = adjacent/opposite

=12/5

Answer:

axis of symmetry , x = 0

Step-by-step explanation:

For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],

the axis of symmetry is the straight line  [tex]x =- \frac{b}{2a}[/tex]

( i)  Given equation y = ax² + 0x + 0

     b = 0, therefore axis of symmetry is x = 0

( ii ) Second equation y = ax² + 0x + c

    b = 0, therefore axis of symmetry is x = 0

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

Answer:

284 u^3

Step-by-step explanation:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

Answer:

the answer is D

BECAUSE it satisfied the conditions

Answer:

[tex]a. \: \: x = {60}^{o} [/tex]

[tex]b. \: \: x = {24}^{o} [/tex]

Step-by-step explanation:

Sum of angles = 180°

[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]

[tex] {x}^{o} = {60}^{o} [/tex]

[tex]b. \: 96+(x+12)+2x=180[/tex]

[tex]x+108+2x=180[/tex]

[tex]3x+108=180[/tex]

[tex]3x=180−108[/tex]

[tex]3x=72[/tex]

[tex]x = 24[/tex]

Answer:

hello u so cool i admire you <3

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

Answer: 910

Step-by-step explanation: Did the review and got it right

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

Answer:

8

Step-by-step explanation:

32 ÷ 4 = 8

32 ÷ 8 = 4 :D

4x8 = 32

32 divided by 4 is 8. 8 is your answer.

Answer:

The area of the bigger lid is approximately 29.2 square inches

Step-by-step explanation:

The given data are;

The volume held by one of the cans of paint, V₁ = 64 oz

The volume held by the other cans of paint, V₂ = 125 oz

The area of the smaller lid = 18 in²

Therefore,

The 64 Oz = The smaller can of paint

The 125 oz = The larger can of paint

The diameter of the smaller lid, d₁ = √(18 × 4/π) ≈ 4.787

The ratio of can volumes = (The ratio of can diameters)³

V₁/V₂ = (d₁/d₂)³

V₁/V₂ = 64/125

d₁/d₂ ≈ 4.787/d₂

64/125 = (4.787/d₂)³

4.787/d₂ = ∛(64/125) = 4/5

d₂ ≈ 4.878×5/4 = 6.0975

The area of the bigger lid, A₂ = π·d₂²/4

∴ A₂ = π × 6.0975²/4 ≈ 29.2

The area of the bigger lid, A₂ ≈ 29.2 in.²

Answer

The answer is EH= 50

Answer:

Step-by-step explanation:

sin x = 6.2/8

sin x = 0.775

x = 50. 8

Bye , have a nice day ! :-)

Applying the sine ratio, sin ∅ = opposite/hypotenuse, the value of x, to the nearest tenth of a degree, is: 50.8°.

When solving a right triangle involving the opposite side and hypotenuse, the sine ratio can be used which is, sin ∅ = opposite/hypotenuse.

Apply the sine ratio to find x

sin x = opp/hyp = 6.2/8

x = sin^(-1)(6.2/8)

x = 50.8°

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Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

Answer:

[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]

Step-by-step explanation:

Given two one-to-one functions f(x)f(x) and g(x)g(x) if

(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x

then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and

denote it by

g(x)=f−1(x)g(x)=f−1(x)

Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by

f(x)=g−1(x)

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

Replace every xx with a yy and replace every yy with an xx.

Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.

Explanation:

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is,

f−1(x)=2xx−1

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is, it is the inverse of function f(x).

That is,

f−1(x)=2xx−1

as required.

Answer:

3 miles

Step-by-step explanation:

  1.7      carry a one because 3+7 is 10

+ 1.3      

--------

 3.0

Answer:

3 miles

Step-by-step explanation:

Kelsey first walked to the park which took 1.7 miles. Then she walked an additional 1.3 miles to get to the cafe.

If we are only counting the amount of miles that she walked without going back home then we can do this simply by doing

1.7+1.3

0.7+0.3 = 1.0 so we carry the one and in total we get 1.0+1.0+1.0 to get 3.0 miles or in other words 3 miles!

Answer:

[tex]5x + 7y = 14[/tex]

Step-by-step explanation:

1: Formulate equations/expressions:

[tex]based \: on \: the \: given \: conditions \: formulate \\ b = 2[/tex]

2: Write the equations:

[tex]write \: the \: equation \: of \: linear \: function \\ y = mx + b[/tex]

3: Substitute:

[tex]y = mx + b \\ b = 2 \: (7 \: - 3) \\ - 3 = m \: . \: 7 + 2[/tex]

4: Solve the equation:

[tex] - 3 = m \: . \: 7 + 2 \\ multiply \: the \: monomials \\ - 3 = 7m + 2 \\ rearrange \: unknown \: terms \: to \: the \: left \: of \: the \: equation \\ - 7m = 2 + 3 \\ calculate \: the \: sum \: or \: differences \\ - 7m = 5 \\ divide \: both \: sides \: of \: the \: equations \: by \: the \: coefficient \: variable \\ m = 5 \div ( - 7) \\ calculate \\ m = - \frac{5}{7} [/tex]

5: Substitute:

[tex]y = mx + b \\ b = 2 \: m = - \frac{5}{7} \\ y = - \frac{5}{7} x + 2[/tex]

6: Rewrite the equations:

[tex]y = - \frac{5}{7} x + 2 \\ standard \: forms \\ find \: the \: required \: form \\ 5x + 7y = 14[/tex]

Answer:

Option (1)

Step-by-step explanation:

Slope of a line is defined by the rule,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, Rise and Run of the line are positive.

Therefore, sign of the slope of the line will be positive.

Option (1) will be the correct option.

Answer:

Blurry po

Step-by-step explanation:

Pwede kunan nyu ulit