Please help me asap!!!

Answer:

(i) False

(ii) Selecting a 5 or a spade are not independent.

Step-by-step explanation:

(i)

Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.

If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]

Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.

Then for events A and B: [tex]P(A\cap B)=0[/tex]

Thus, the statement is False.

(ii)

In a standard deck of 52 cards there are:

Spades = 13

Diamond = 13

Heart = 13

Clubs = 13

And each of these 13 cards are:

K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A

If a card labelled as 5 is selected then it could also be a Spade.

And if a spade is selected then the card could be labelled as 5.

So, selecting a 5 or a spade are not independent.

Answer: C

Step-by-step explanation:

[tex]2x+4y<16\\=4y<-2x+16\\=y<-\frac{1}{2} x+4[/tex]

Since we are not dividing by a negative at any point during the simplification, the inequality sign won't change.

"<" means that the line will be dashed and shaded below.

Hope this helps!

The description of the inequality is (c) dashed line, shaded below

The inequality is given as:

2x + 4y < 16

The inequality is represented as less than (<)

When the less than sign is used in an inequality, the graph of the inequality would be a dashed line shaded below

Hence, the true statement is (c) dashed line, shaded below

Read more about inequalities at:

https://brainly.com/question/11234618

Answer:

C. y = 0.5x + 5

Hope that helps.

Answer:

For the second figure

X=10

Y=30

Step-by-step explanation:

3x=(5x-20).... Alternative interior angles

3x=5x-20

20=5x-3x

20=2x

x=10

2y+4y= 180

6y=180

Y=30

cos (x - π/3) = cos (π/2)

Then we need x - π/3 = π/2

Solving the equation:

x - π/3 = π/2

x = π/2 + π/3

x = 5π/6

Answer:

5

Step-by-step explanation:

Given

[tex]\frac{30b}{6b}[/tex]

Cancel the b on the numerator/ denominator.

Also the 30 and 6 can both be cancelled by 6 , thus

[tex]\frac{30b}{6b}[/tex] = [tex]\frac{30}{6}[/tex] = 5

Answer:

[tex]\boxed{5}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{30b}{6b}[/tex]

[tex]\sf Simplify[/tex]

[tex]\displaystyle \frac{30}{6} \times \frac{b}{b}[/tex]

[tex]5 \times 1[/tex]

[tex]=5[/tex]

Answer: B

Step-by-step explanation:

The domain of a function is every x-value, and the range is every y-value.

Hope it helps <3

Answer:

B

Domain: (-∞,∞)

Range: (-∞,5]

Step-by-step explanation:

The domain is (-∞,∞) because the graph as you can see, is continuously going outwards forever.

The range is (-∞,5] because the graph as you can see, is always going down forever and the top point is at 5. The 5 is in a bracket because it is a defined number while ∞ is undefined!

Hope this helped and good luck :)

Answer:

D

Step-by-step explanation:

To be a function each value of x must correspond to only one, unique value of y.

In the given ordered pairs

Each x- value corresponds to exactly one y- value

Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Step-by-step explanation:

There are three measures of the center: 1) Mean   2) Median  3) Mode

Mean : Average value of the data

Mode = The most repeated value.

Median is the middlemost value in a well-ordered data.

It measures the center of the data.

Hence, the completed statement would be:

The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Answer:

First ____ is median

Second ____ is center

Step-by-step explanation:

The median is the middle value of a set of numbers, and is found in the center.

Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

Answer:

[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]

Step-by-step explanation:

Apply these rules to solve:

• Angles on a straight line add up to 180 degrees.

• Angles in a triangle add up to 180 degrees.

• Opposite angles in a parallelogram are equal.

• Angles in a quadrilateral add up to 360 degrees.

Answer:

b

Step-by-step explanation:

trust me

Answer:

A

Step-by-step explanation:

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

Answer:

The linear system shown on the graph is consistent and independent

Step-by-step explanation:

The linear system shown on the graph is consistent because it has at least one solution which satisfy both linear graphs. The solution is at the point of interception of the two line graphs.

The linear system shown on the graph is independent because the two line graphs are distinct and not parallel or dependent on one another.

Therefore, The linear system shown on the graph is consistent and independent

Answer:

b=3a/8

a=8b/3

Step-by-step explanation:

b/a=k ( k is the constant proportional)

3/8=9/24=15/40

b/a=3/8

b=3a/8

a=8b/3

I hope this is right answer

Step-by-step explanation:

At t = 20 min, V = 45,000 L.

At t = 70 min, V = 0 L.

a) The rate is the slope:

m = ΔV/Δt

m = (0 L − 45,000 L) / (70 min − 20 min)

m = -900 L/min

b) Using the slope to find V when t = 0 min:

m = ΔV/Δt

-900 L/min = (V − 0 L) / (0 min − 70 min)

V = 63,000 L

c) Use slope-intercept form to find the equation.

V = -900t + 63,000

d) At t = 62 min:

V = -900(62) + 63,000

V = 7200

Answer:

a. -900 L/min

b. Vo = 63,000 Liters

c. V ( t ) = 63,000 - 900*t

d. 7,200 Liters

Step-by-step explanation:

Solution:-

We have a swimming pool which is drained at a constant linear rate. Certain readings were taken for the volume of water remaining in the pool ( V ) at different instances time ( t ) as follows.

                t = 20 mins ,   V = 45,000 Liters

                t = 70 mins , V = 0 Liters

To determine the rate ( m ) at which water drains from the pool. We can use the linear rate formulation as follows:

                             [tex]m = \frac{V_2 - V_1}{t_2 - t_1} \\\\m = \frac{0 - 45000}{70 - 20} \\\\m = \frac{-45,000}{50} = - 900 \frac{L}{min}[/tex]

We can form a linear relationship between the volume ( V ) remaining in the swimming pool at time ( t ), using slope-intercept form of linear equation as follows:

                              [tex]V = m*t + V_o[/tex]

Where,

                  m: the rate at which water drains

                  Vo: the initial volume in the pool at time t = 0.

We can use either of the data point given to determine the initial amount of volume ( Vo ) in the pool.

                           [tex]0 = -900*( 70 ) + V_o\\\\V_o = 63,000 L[/tex]

We can now completely express the relationship between the amount of volume ( V ) remaining in the pool at time ( t ) as follows:

                             [tex]V ( t ) = 63,000 - 900*t[/tex]

We can use the above relation to determine the amount of volume left after t = 62 minutes as follows:

                           [tex]V ( 62 ) = 63,000 - 900*(62 )\\\\V ( 62 ) = 63,000 - 55,800\\\\V ( 62 ) = 7,200 L[/tex]

Answer:

  [tex]\dfrac{3(6)-1}{2(6)+1}[/tex]

Step-by-step explanation:

For ...

The expression (r/s)(6) is ...

  [tex]\left(\dfrac{r}{s}\right)(6) = \left.\dfrac{3x-1}{2x+1}\right|_{x=6}=\boxed{\dfrac{3(6)-1}{2(6)+1}}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

2.4 bags

Step-by-step explanation:

Uh you can keep your brains.

Using the data table, we get:

1, 2, 2, 3, 4 as our data.

Finding the mean:

(1+2+2+3+4)÷5=

12÷5=

2.4 bags

[tex]A = 1500(1.00167)^{12t}[/tex]

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

Explanation:

You could use the formula

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.

Answer:

55°

Step-by-step explanation:

The following data were obtained from the diagram given above:

Adjacent = 4

Hypothenus = 7

Angle A =?

The value of angle A can be obtained as follow:

Cos A = Adjacent / Hypothenus

Cos A = 4/7

Take the inverse of Cos.

A = Cos¯¹(4/7)

A = 55.1° ≈ 55°

Therefore, the value of angle A is approximately 55°.

Answer:

If I'm not mistaken your graph is supposed to be like this

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

           Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

                    [tex]\boxed{x = 7}[/tex]

Move 1 to the left side of the equation by subtracting it from both sides.

[tex]\sqrt{2x -5 - 2 - 1 = 0 }[/tex]

Subtract 1 from -2.

[tex]\sqrt{2x -5 - 3 = 0 }[/tex]

Add 3 to both sides of the equation.

[tex]\sqrt{2x - 5 = 3}[/tex]

To remove the radical on the left side of the equation, square both sides of the equation.

[tex]\sqrt{2x - 5^3 = 3^2}[/tex]

Simplify each side of the equation.

Multiply the exponents in [tex](( 2x - 5) ^\frac{1}{2})^2[/tex] .

Apply the power rule and multiply exponents, [tex](a^m)^n = a^mn[/tex]

[tex](2x -5)^\frac{1}{2}.2 = 3^2[/tex]

Cancel the common factor of 2.

[tex](2x - 5)^1 = 3^2[/tex]

Simplify.

[tex]2x - 5 = 3^2[/tex]

Raise 3 to the power of 2.

[tex]2x - 5 = 9[/tex]

Solve for x

Move all terms not containing x to the right side of the equation.

Add 5  to both sides of the equation.

[tex]2x = 9 + 5[/tex]

Add 9 and 5.

[tex]2x = 14[/tex]

Divide each term by 2  and simplify.

Divide each term in 2x = 14 by 2.

[tex]\frac{2x}{2} = \frac{14}{2}[/tex]

Cancel the common factor of 2.

[tex]x = \frac{14}{2}[/tex]

Divide 14 by 2.

[tex]x = 7[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

root of f(x) =  -0.7419124700395855 to about 16 figures

Step-by-step explanation:

given

f(x) = 2x^5-x^2+1 = 0

The polynomial is prime, so cannot solve by factoring.

Since it is a 5th degree polynomial, it has at least one real root.

Graphing helps locate where roots are, if more than one.

(refer to first graph)

So there is a real root between -1 and 0.

We will use numerical methods to find the root to a good degree of accuracy.  The technique applies to any univariable function which is differentiable and continuous near the roots.  This requirement is true for all polynomials.

However, we must know approximately where the root is, usually found by graphing.

The formula used is a recursive one, which gives a better approximation (x1) from the initial (x0) one , and can be repeated until the required accuracy is reached.

Here, we see that the slope of the function at the root is quite steep, so convergence will be rapid.

The formula is

x1 = x0 - f(x0) / f'(x0), where

x1 = new approximation

x0 = initial (or previous) approximation

f(x0) = value of function when x=x0

f'(x0) = value of derivative of function when x=x0

For the given function

f(x) = 2x^5-x^2+1 = 0

f'(x) = 10x^4-2x = 2x(5x^3-1)

From the graph of f(x), we can take an initial approximation as

x0 = -1

x1 = -1 - (-2)/12 = -5/6

Repeat using x0=-5/6

x1 = -5/6 - ( 2(-5/6)^5 - (-5/6)^2 + 1 ) / (2(-5/6(5(-5/6)^3-1))

= 0.7565596512088784

Repeat again, multiple times

x1 = -0.7423377914518363

x1 = -0.7419128371988212

x1 = -0.7419124700398593

x1 = -0.7419124700395855

x1 = -0.7419124700395855

So we see that the root of f(x) = x1 = -0.7419124700395855 to about 16 figures

Note that the accuracy of the iterations approximately doubles every time.

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

  90° + 58° + x - 7° = 180°

    141° + x = 180°

        x = 39°

Answer:

Yes

Step-by-step explanation:

Well to figure out if 210879 is divisible by 3 we do,

210879 / 3

= 70 293.

Thus,

210879 is divisible by 3.

Hope this helps :)

Answer: Yes

Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.

Image is provided below.

The divisibility rules tell us that if the sum of the digits is divisible by 3,

then the number is also divisible by 3.

So since 27 is divisible by 3, 210,879 must also divisible by 3.

So our answer is yes, 210,879 is divisible by 3.

Answer:

Line y = −x + 4 intersects the line y = 3x + 3.

Step-by-step explanation:

Please Help! Which description best describes the solution to the following system of equations?

y = −x + 4

y = 3x + 3

Line y = −x + 4 intersects the line y = 3x + 3.

This is the response because the solution to a system of two equations is represented by the intersection of the equations of the two lines/curves.

Lines y = −x + 4 and y = 3x + 3 intersect the x-axis.

Lines y = −x + 4 and y = 3x + 3 intersect the y-axis.

Line y = −x + 4 intersects the origin.

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

Answer:

346.38022

Step-by-step explanation:

Using Law of Sines, we know that v=50

[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]

Area = ab·sin(C) /2

[34x50xsin(24)]/2

=346.38022

Answer:

i think he/she is right

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

30.6

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 23°

Opposite = 13

Adjacent = y

The value of y can be obtained by using the following trig ratio:

Tan θ = Opposite /Adjacent

Tan 23° = 13/y

Cross multiply

y × Tan 23° = 13

Divide both side by Tan 23°

y = 13/Tan 23°

y = 30.6

Therefore, the value of y in the diagram above is 30.6