if you finish these both ill give u a cookie

Answer:

Hence for drawing a card from a deck, each outcome has probability 1/52. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.

Step-by-step explanation:

The formula for calculating standard deviation of a sample is expressed as

Standard deviation = √Σ(x - mean)^2/(n - 1)

where

n = the number of samples = 5

Mean = (17 + 20 + 44 + 39 + 40)/5

Mean = 32

Σ(x - mean)^2 = (17 - 32)^2 + (20 - 32)^2 + (44 - 32)^2 + (39 - 32)^2 + (40 - 32)^2 = 626

n - 1 = 5 - 1 = 4

Standard deviation = √(626/4)

Standard deviation = 12.51

Distribute -5 to all terms inside the parenthesis.

-5(4x - 3y - 1)
-5(4x) + -5(-3y) + -5(-1)
-20x + -5(-3y) + -5(-1)
-20x + 15y + -5(-1)
-20x + 15y + 5

The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.

Represent the length and width by L and W.

Then W = L - 4.

The area of the rectangle is 12 units

= Length x width  

=  L x W

=  L(L - 4)

=L^2 - 4L = 12

L^2 -4L - 12 = 0

Now on solving this quadratic equation we get

L^2 -4L - 12 = 0

L^2 - 6L  + 2L -12 = 0

L(L - 6 ) -2(L - 6) = 0

(L-6)(L-2) = 0

This factors easily into

(L - 2)(L - 6) = 0

so L must be 2,6.  

When L = 2

The width of the rectangle is W = L - 4 = 2 - 4 = -2 units.

We ignore the negative values.

when L= 6

The width of the rectangle is W = L - 4 = 6 - 4 = 2 units.

The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.

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When pushing a car using a force of 500 N. The work done is 7500 Joule.

Force is a power that results in the motion of an object. It is calculated by newton. Distance is the measurement of two entities from one side to another side. It is calculated in meters and kilometers.

By multiplying the total force used, and the total distance traveled, the total work done may be calculated.

Given, the force is 500 N

Distance is 15 m

Total work done = force × distance

500 × 15 N = 7500 Joule

Hence, 7500 Joule work is done.

Therefore, the total work done is 7500 Joule.

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The question is incomplete. Your most probably complete question is given below:

Pushing a car 15 m using a force of 500 N. How much work was done?

By solving a system of equations we can see that Alang sold 25 pounds of blueberries and 45 pounds of grapes.

Here we need to define the variables:

g = pounds of grapes bought.

b = pounds of blueberries bought.

We know that:

"Alang sold 20 more pounds of grapes than pounds of blueberries and made $182.50 altogether."

then we can write the system of equations:

g = b + 20

g*3.5 + b*1 = 182.50

To solve this, we can replace the first equation into the second one, so we get:

(b + 20)*3.5 + b*1 = 182.50

b*4.5 + 70 = 182.50

b*4.5 = 182.50 - 70

b*4.5 = 112.50

b = 112.50/4.5 = 25

And we know that:

g = b + 20 = 25 + 20 = 45

So he sold 25 pounds of blueberries and 45 pounds of grapes.

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Answer:

The submarine will be at -50 feet after the descent.

Step-by-step explanation:

A submarine at -20 feet descends 30 feet. What is the submarine's current location after the descent?

If the starting point is -20 feet and it says that the submarine goes down another 30 feet we can write an equation and solve it.

Descending indicates going down or subtraction.

Let x=the current location after the descent.

-20+(-30)=x

-20-30=x

-50=x

The submarine will be at -50 feet after the descent.

Hope this helps :)

The most appropriate choice for Quadratic  equation will be given by -

Third option is correct

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

Here,

[tex]x^2 +2x=24\\x^2+2x-24=0\\x^2+6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]

[tex]x+ 6 = 0[/tex] or [tex]x - 4 = 0[/tex]

x = -6 or x = 4

Third option is correct

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Answer:

slope = 2/7

y-intercept = -16/7

Step-by-step explanation:

We rewrite this equation in slope-intercept form as follows:

[tex] - 2x + 7y = - 16[/tex]

[tex]7y = 2x - 16[/tex]

[tex]y = \frac{2}{7} x - \frac{16}{7} [/tex]

The slope is 2/7, and the y-intercept is -16/7.

we have the function

To find out the instantaneous rate of change without using derivatives, we need two points

For x=0

The first point is (0,0)

For x=-1

The second point is (-1,1/3)

Find out the slope

therefore

Verify the answer with the exact answer (with derivative)

Answer:Never mind I don't want to spread it around

Step-by-step explanation:

lol

The area, in square inches, of the larger triangle is 12.

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If each person eat one quarte (1/4) of the cake, this means that only 4 people can eat from one cake, as:

Each person eats 2 pieces of 1/8 of the cake, as 2*1/8=2/8=1/4.

Answer: 4 people can eat cake.

Answer: 11

Step-by-step explanation:

Use distance formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_2 - y_1)^2\\}[/tex]

5 - 5 = 0

7 - - 4 = 7 + 4 = 11

[tex]\sqrt{11^2} = 11[/tex]

Answer: 240 mins

Step-by-step explanation:

Proportional relationships in real world settings are given as follows:

A direct proportional relationship is modeled as follows:

y = kx.

In which:

One example is the relation between distance, velocity and time, given as follows:

d = st.

In which the velocity is the constant.

This relationship can also be interpreted as proportional between distance and velocity, with time as constant.

Another format of this relationship is:

t = d/s

Which means that time and distance are proportional, which one divided by the velocity as the constant.

Velocity and distance can also be proportional, as follows:

s = d/t.

With one divided by the time as constant.

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The length of side EC of the △ECD is 12 meters if the length of AB of △ABC is 9 meters using the concept of similarity of triangles.

As per the question statement, we are given an image depicted as a lattice bridge where △ABC ∼ △ECD and the ratio of lengths of corresponding sides in △ABC and △ECD is 3:4

Length of AB is 9 meters and we are supposed to find the length of side EC of the △ECD.

As ratio of corresponding sides is 3:4 and △ABC ∼ △ECD (given)

AB : EC = 3 : 4

But AB = 9 meters (given)

9 /EC = 3/4

EC = 4*9/3

EC = 12 meters.

Hence, The length of side EC of the △ECD is 12 meters if the length of AB of △ABC is 9 meters using the concept of similarity of triangles.

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You have the segment EG and point F in it.

Point F separates the segment in two smaller ones EF and FG.

You can say that

EG= EF + FG

You have to replace the name of the segments with their values to get the equation:

Now that you have a one unknown equation you can clear X

The value of x is 3.6

On the graph can see that Tom completes the race in less than 5 hours and Sam in more than 5 hours, so Tom wins.

Tom and sam are running a 40-yard race, so, the first one in run 40 yards wins.

Here we have two graphs, both are lines that relate distance and time. With them we can see that:

Then the one that takes less time to complete the race is Tom, and thus, Tom wins the race.

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    Quadratic applications include: Horizontal Motion Issues For a moving object, one uses the formula h = -16t2 + vt+s. The following is represented by the variables: h is a symbol for the object's height when it is moving.

   h = v 0 y 2 2 g This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

   If v is the starting speed, g is the gravitational acceleration, and H is the highest point that may be reached in meters, then is the initial speed's angle from the horizontal plane (radians or degrees). The equation H = v 0 2 s I n 2 2 g yields the projectile's greatest height

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Answer:

.... the number is (13). 13+4=17 , and 19-2=17

Step-by-step explanation:

Answer:

Quarter of a way through 1 and 2

Step-by-step explanation:

Quarter of a way through 1 and 2

Since the series is an Arithmetic progression, the difference between the consecutive terms is constant,

Therefore,

(2x+8) - (x+4) = 12 - (2x+8)

⇒ 2x + 8 - x - 4 = 12 - 2x - 8

⇒x + 4 = 4 - 2x

⇒ 3x = 0

⇒ x = 0

The value of x is 0,

So, the Arithmetic Progression is 4, 8, 12.......

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The number of hours Hamal works is represented as x.

Since we need to find the amount Hamal is earning per hour (or in an hour), we replace x as 1 (for 1 hour)

Now, we get the equation : y = 10 x 1 + 50.

Since y represents the amount of money he earns, we need to find y when x = 1, or the equation above.
-> y = 60.

Therefore, Hamal earns 60 (dollars?) per hour.

Substitution Property of Equality - (2) You replace one expression with another equivalent expression.

Segment Addition Postulate - (10) Parts of line segment combine to form longer segments.

Triangle Sum Theorem - (4)The measure of three interior angles in a triangle have a sum of 180 degrees.

Reflexive Property - (8) An expression is equal to itself

Angle Addition Postulate - (6)The measure of an angle formed by two adjacent angles is the sum of the measures of the two angles.

Symmetric Property - (9) You switch expressions from one side of the equals symbol to the other.

Angle Congruence Postulate - (1) If two angles are congruent their measures are equal.

Segment Congruence Postulate - (7)Two segments are congruent so they have the same length.

Definition of Right Angle - (5) An angle is a right angle so its measure is 90 degrees.

Transitive Property - (3) a = c because a = b and b = c.

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Answer:

x = -5

Step-by-step explanation:

4x + 2 = -18

or

2 + 4x = -18

(Subtract 2 from both sides) -20 = 4x

(Then you divide by 4) so you get... x = -5

Answer:

2 + 4x = -18

Step-by-step explanation:

Two more than: +2

4 times a number: 4x

is -18: = -18

The number of hours of rain is 34.

The depth of the creek before the rain was 3 feet. There was a flood last month. The depth of the creek rose to 20 feet after the flood. The weather man said that it rained for 0.5 feet every hour.

The rise in the depth of the creek is the difference between the final and initial depths.

D = 20 - 3 = 17 feet

The number of hours for which it rained is the result of the division of the rise in the depth by the rate of rain.

N = 17/0.5

N = 34 hours

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The equation of a circle with its center at the origin and passes through the point (5,0):   x2+y2=25

the equation of a circle of with the center (2,3) and containing the point (3,2): x2+y2=2

Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.

(x-h)^2+(y-k)^2=r2

                          is the equation for a circle with center (h,k) and radius (r).

This yields the more well-known equation

x2+y2=r2

             for a circle centered at the origin.

Since we are aware that the circle's center is at its origin, i.e.

This fact, together with the circle's intersection point (5,0), can be used to determine the radius. The distance formula is used for this.

r=√(x2−x1)^2+(y2−y1)^2

In light of (0,0) and (5,0):

r=√(5−0)^2+(0−0)^2

=√25+0

√25=5

⇒ r=5

Therefore, x^2+y^2=(5)^2

                   x2+y2=25 is the equation for the circle.

(x-h)^2+(y-k)^2=r2 is the equation for a circle with center (h,k) and radius (r).

This yields the more well-known equation x2+y2=r2 for a circle centered at the (2,3).

Since we are aware that the circle's center is at (2,3), i.e.

This fact, together with the circle's intersection point (3,2), can be used to determine the radius. The distance formula is used for this.

r=√(x^2−x1)^2+(y2−y1)^2

In light of (2,3) and (3,2):

r=√(3−2)^2+(2−3)^2

r = √(1)^2+(-1)^2

= √1+1

=√2

⇒ r=√2

Therefore, x2+y2=(√2)^2

                   x2+y2=2 is the equation for the circle.

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So in the first place, the 5:6 ratio of 12 tomato plants would be 2 tomato plants left over making ralph's plant # 840 in the first place.