What is the decimal equivalent of each rational number? a. ___9/11 b. __4/5 c. ___-17/5 d. __5/9

Answer:

Its

Step-by-step explanation:

slope: 2.5

y intercept: 3

A point that is part of the intersection of planes ACD and MHG is: Point B.

A plane has at least three points that lie on it. When two planes intersect, they do so at some certain points. This means that two intersecting planes share some points in common alone the line of their intersection.

In the diagram given, plane ACD and plane MHG intersect along line BA. This means that both planes share points A and B in common.

Therefore, we can state that a point that is part of the intersection of planes ACD and MHG is: Point B.

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Answer: Option C

l = (P - 2b)/2

Step-by-step explanation:

From P = 2(l + b)

Divide both sides by 2;

P/2 = 2(l + b)/2

P/2 = l + b

l + b = P/2

Make l the subject of formula;

l = (P/2) - b

l = (P - 2b)/2

The linear equation that fits the data for tree y = 0.3X + 18.3

Given that data :

x = year.

y = trunk diameter, in inches

Year trunk diameter

1-18.6, 3-19.2, 5-19.8, 7-20.4, 9-21.0, 11-21.6, 13-22.2

As per the question, we have the points:

(x₁,y₁)=(1,18.6)

(x₂,y₂)=(3,19.2)

First, we calculate the slope (m):

m=y₂-y₁/x₂-x₁

So, we have:

m=19.2-18.6/3-1

m=0.6/2

m=0.3

The equation is then calculated as:

y=m(x-x₁)+y₁

So, we have:

y=0.3(x-1)+18.6

y=0.3x-0.3+18.6

y=0.3x+18.3.

So, the linear equation that fits the data for tree 1 is y=0.3x+18.3.

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The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Answer:

3

Step-by-step explanation:

I think

Answer:

less than or equal to 3

Step-by-step explanation:

Answer:

5:6

Step-by-step explanation:

The entire class is 11/11.

Girls: 5/11 of the class.

Boys: 11/11 - 5/11 = 6/11

Ratio of girls to boys:
5/11 / 6/11 = 5/11 × 11/6 = 5/6

Answer: 5:6

The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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Answer:

\(H = 53.30\)

Step-by-step explanation:

Given

\(Side\ 1 = 7x + 41\)

\(Side\ 2 = 5x\)

Required

Determine side x

The hypotenuse (H) is calculated using:

\(H^2 = Side\ 1^2 + Side\ 2^2\)

\(H^2 = (7x + 41)^2 + (5x)^2\)

Substitute 9 for x:

\(H^2 = (7*9 + 41)^2 + (5*9)^2\)

\(H^2 = 10816 + 2025\)

\(H^2 = 12841\)

So:

\(H = \sqrt {2841\)

\(H = 53.30\)

Answer:

20°

Step-by-step explanation:

Let x be the larger angle and y be the smaller angle.

Since they are complementary,

x+y = 90 => x=90-y

x+4y = 150

90-y+4y = 150

90 + 3y = 150

3y = 150-90

3y = 60

y = 20°

The measure of the smaller angles is 30° .

In geometry, complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles.

Now it is given that, Two angles are complementary.

Let x and y be the two angles.

∴  x + y = 90° .....(i)

and, The sum of the larger angle and 4 times the smaller is 150°.

Let x be the larger angle.

∴ x  + 4y = 150°   ....(ii)

Subtracting equation (ii) by (i) we get,

3y = 60°

or, y = 30°

which is the smaller angle.

Thus, The measure of the smaller angles is 30° .

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Answer:

First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.

Using the standard equation of a straight line, y=mx+b, we know that m=-2.

Thus, so far we know that y=-2x+b.

Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.

I will use the first point, (0,7), to get 7=(-2)(0)+b.

Solving for b, we see that b=7.

Therefore, the equation of the straight line is y=-2x+7.

It is a good idea to check your answer on a graphing calculator.

The ratio of diameter to height that minimizes the surface area of a cylindrical can while holding a specific volume is: diameter/height = 2r/h

= 2(√(V/2π))/(2√(V/2π)) = 1

What is area ?

Area is a measure of the size of a two-dimensional surface or shape. It is the amount of space inside a closed boundary, such as a square, rectangle, circle, or any other shape.

A = 2πrh + 2πr²

where r is the radius of the can, h is the height of the can, and π is a constant (approximately equal to 3.14).

The volume of the can is given by:

V = πr²h

We want to find the ratio of diameter to height that minimizes the surface area of the can while holding a specific volume. We can use the volume formula to solve for one variable in terms of the other:

h = V/πr²

Substituting this expression for h into the surface area formula, we get:

A = 2πr(V/πr²) + 2πr²

Simplifying, we get:

A = 2V/r + 2πr²

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero:

dA/dr = -2V/r² + 4πr

Setting this equal to zero, we get:

-2V/r² + 4πr = 0

Solving for r, we get:

r = √(V/2π)

Substituting this value of r back into the expression for h, we get:

h = 2√(V/2π)

Therefore, the ratio of diameter to height that minimizes the surface area of a cylindrical can while holding a specific volume is: diameter/height = 2r/h = 2(√(V/2π))/(2√(V/2π)) = 1

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Answer:

The second choice.

Step-by-step explanation:

Answer:

2nd graph down

Step-by-step explanation:

3a+11 > 5

Subtract 11 from each side

3a+11-11 > 5-11

3a > -6

Divide each side by 3

3a/3 > -6/3

a >-2

Open circle at 02

line going to the right

Answer:

5/52 for getting a 5

7/52 for getting a 7

Answer:

Step-by-step explanation:

52 cards in a standard deck. Four 5's and four 7's.

4/52 = 5

4/52 = 7

4/52+4/52= 2/13

2/13 as a percent is 15.384615384615%

that simplified is 15.4%

or just 15%

:) Hope that helped.

Answer:

Step-by-step explanation:

-25/4(x)= -25/8

x= -(25/8) X (4/-25)= 1/2

Answer:

A

Step-by-step explanation:

Because |x| would be absolute value.

Absolute value is always positive so If you had

|-7| it would equal 7.

The number line in option A is the only one that shows it.

Answer: option A

Step-by-step explanation:

Remember, the number line that is option A has absolute value.

So, it would mean this number line is the answer.

Hope it helps!

Answer:

The answer is n = -3. :)

Step-by-step explanation:

-3

Answer:

a = 8, b = 2

Step-by-step explanation:

\(\sqrt[3]{x^{10} }\) ( substitute x = - 2

= \(\sqrt[3]{(-2)^{10} }\)

= \(\sqrt[3]{1024}\)

= \(\sqrt[3]{2^{10} }\)

= \(\sqrt[3]{2^{9 (2)} }\)

= 2³ \(\sqrt[3]{2}\)

= 8\(\sqrt[3]{2}\) ← in the form a\(\sqrt[3]{b}\)

with a = 8 and b = 2

a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

Answer:

Each package will contain 1/2 pound of meat.

Step-by-step explanation:

To divide 8 1/2 pounds of hamburger meat into 17 equal packages using fractions, you need to divide the total weight by the number of packages:

First, convert the mixed number 8 1/2 to an improper fraction:

(8 * 2) + 1 = 16 + 1 = 17

So, 8 1/2 = 17/2

Now, divide 17/2 pounds by 17 packages. Since division is the same as multiplying by the reciprocal, we'll multiply by the reciprocal of 17, which is 1/17:

(17/2) * (1/17)

Multiply the numerators together (17 * 1 = 17) and the denominators together (2 * 17 = 34):

17/34

Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (17):

17 ÷ 17 = 1

34 ÷ 17 = 2

So, the simplified fraction is 1/2.

Step-by-step explanation:

y=5

hence the gradient of the equation is 0

so gradient of perpendicular line

m1m2=-1

0=-1 hence the question is not correct

The likelihood that it will land on red is the same as the likelihood that probability it will land on yellow. In this case, 52.

What exactly is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 generally denoting impossibility and 1 roughly denoting certainty.

based on the available facts;

Given, color likelihood Green Brown Yellow Red

P(R) + P(a) + P(B) + P(Y) = 1

2P(CR) + 0-74=1

P(R) 0.26/2

= 0.13 P(Y)

As it is span 400 times -

No. of times green= 0.2 off 400

                              =1/5 *(400)

                              =80

No. of times Brown= 0.54*100

                                =216

No. of times Red= 0.13× 400

                            = 52= No. of times yellow

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