A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?

Answer:

2

Step-by-step explanation:

1

8x1 = 8

8-2=6

2

8x2=16

16-2=14

On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

here

angle JMP = 3x-6 - 90

3x = 84

x = 28

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The experimental probability of spinning of B or C is 1/3.

In the given question, the spinner is spun 75 times.

We have to find the experimental probability of spinning of B or C.

The given data is:

Outcome          A              B              C              D

Frequency       20             11             14             30

Total frequency = 20 + 11 + 14 + 30

Total frequency = 75

The probability of spinning B = Frequency of B/Total Frequency

The probability of spinning B = 11/75

The probability of spinning C = Frequency of C/Total Frequency

The probability of spinning C = 14/75

Now the experimental probability of spinning of B or C;

P(B or C) = P(B) + P(C)

P(B or C) = 11/75 + 14/75

P(B or C) = (11 + 14)/75

P(B or C) = 25/75

P(B or C) = 1/3

Hence, the experimental probability of spinning of B or C is 1/3.

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Answer:

B)Yes, all four conditions in BINS have been met.

Step-by-step explanation:

Yes, all four conditions in BINS have been met.

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

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Answer:

Step-by-step explanation:

2

Answer:

F, T, T, F

Step-by-step explanation:

1) F because the die is labeled 1 through 8. Because 1 through 3 are included within the die, it is possible to roll a number less than 4.

2) T because the die is from 1 to 8, meaning 5 through 8 - number 4 and greater - are able to be rolled. Rolling a 4, 5, 6, 7, or 8, has a probability of 5/8 chance of being rolled, making it a likely roll (as 5/8 is over a 50% chance).

3) T as numbers are always either even or odd, meaning it is impossible not to roll an even or odd number. In other words, it is certain to roll an even or odd number.

4) F as it is extremely likely to roll a number less than 7 with a whopping 6/8 chance of being rolled. What would be unlikely is rolling a number greater than 7.

Answer: 32x

Step-by-step explanation:

4x (3 + 5)

add 3 and

⇒ 4x (8)

⇒ 32x answer .

hope that helps...

Answer:

yes, the board is long enough

Step-by-step explanation:

5.5 in x 4 walls = 22 inches

The board is 24.5 in, so there is enough.

24.5 > 22, there is an extra 2.5 in left over.

The length of jump by Pythagoras = 25 units

The length of jump by Newton = 29 units

The length of jump by Fermat = 20 units

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the length of the jump by Pythagoras be P

Let the length of the jump by Newton be N

Let the length of the jump by Fermat be F

Now , the equation will be

The total number of steps = 120 steps

The number of jumps by Pythagoras = 5 jumps

The number of steps overshoot by Pythagoras = 5 steps

So , P ( 5 ) - 5 = 120   be equation (1)

On simplifying the equation , we get

Adding 5 on both sides of the equation , we get

5P = 125

Divide by 5 on both sides of the equation , we get

P = 25 units

The number of jumps by Newton = 4 jumps

The number of steps fell short by Newton = 4 steps

So , N ( 4 ) + 4 = 120   be equation (2)

On simplifying the equation , we get

Subtracting 4 on both sides of the equation , we get

4N = 116

Divide by 4 on both sides of the equation , we get

N = 29 units

The number of jumps by Fermat = 6 jumps

So , F ( 6 ) = 120   be equation (2)

On simplifying the equation , we get

Divide by 6 on both sides of the equation , we get

F = 20 units

Therefore , the value of P , N and F are 25 , 29 and 20 units respectively

Hence , the length of each jump is 25 , 29 and 20 units

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9514 1404 393

Answer:

  x = 2

  y = 9

Step-by-step explanation:

Opposite sides of a parallelogram are the same length. This relation is used to make equations with the given side lengths.

Top and Bottom

  4x +20 = x +26

  3x = 6 . . . . . . . . . . . subtract x+20 from both sides

  x = 2 . . . . . . . . . divide by 3

Left and Right

 7y = 6y + 9

  y = 9 . . . . . . . . . subtract 6y from both sides

the ball go after the third bounce is 77 centimeters  when A ball was dropped from a height of 150 cm. The rebound factor of the ball is

0. 8.

In math, height is defined as the vertical distance from the top to the object's base. Occasionally, it is labeled as 'altitude'. The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry

based on the given information

A ball was dropped from a height of 150 cm.

The rebound factor of the ball is 0.8

Evaluate the ball go after the third bounce is given by

150* 0.8 ^3= 77

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Answer:

The measure of angle x is 60°.

[ Because the exterior angle is equal to the sum of intetior opposite angles]

Answer: X= 60º

Step-by-step explanation:

We know that triangle inside adds up to 180º,now:

1.We know that it already shows 40º.So 180 - 40 = 140º Now remember that.

2.The other place (100º) it is on a line, we all now that means it is 180º then what must be the other side? 180º - 100º = 80!

3.Now,we have 140º [ From 1.] then another 80º, 140º - 80 = 60º!

Result: So X is 60º!

Hope you have a great day!

Answer:

C. 288π ft³

Step-by-step explanation:

V(Sphere) = 4/3πr³

V(Sphere) = 4/3π(6)³

V(Sphere) = 4/3π(216)

V(Sphere) = 288π ft³

Answer:

CD = 2 = x

Step-by-step explanation:

Remark

The problem is not in getting x. The answer is 2. The problem is showing y.

Givens

Call the center of the circle O.

BO,AO,CO,DO circle radii

Chords AB and CD

AB = 2

<BOA = <COD

Solution

BO,AO,CO,DO area all equal to each other.               All are radii.

<BOA = <COD = 30                                                        Given

ΔBOA = ΔCOD                                                               SAS

AB = CD                                                                          CPCTC

CPCTC means corresponding parts of Congruent Triangles are congruent.

Note also that AB and CD must be chords.

Answer:

3.14 × 1×1= 3.14 mm^2

..........................

Answer:

33.95m

Step-by-step explanation:

[tex]\frac{33}{sin(60)} = \frac{c}{sin(63)}[/tex]                  *Cross multiply*

[tex]c(sin(60)) = 33(sin(63))[/tex]    *Divide by sin(60)*

[tex]c = \frac{33(sin(63))}{sin(60)}[/tex]                     *Solve*

[tex]c = 33.95m[/tex]

Answer:

d which implies m/3 + 5 = 9

Answer:

<1=75°[corresponding angles are equal]

<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]

<3=<2=105°[Vertically opposite angles are equal]

<4=75°[Alternate angles are equal]

<6=<2=105°[Corresponding angles are equal]

<7=<6=105°[Vertically opposite angles are equal]

<8=75°[Vertically opposite angles are equal]

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"Thickness of two boards = Thickness of first board + Thickness of second board" would be the closely estimated equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

The thickness of the two boards together can be represented by the sum of the thickness of each individual board. Therefore, the equation that most closely estimates the thickness of the two boards stacked together is:

Thickness of two boards = Thickness of first board + Thickness of second board

So in this case, the equation would be:

Thickness of two boards = inch + inch

This equation gives the total thickness of two boards stacked together and it's the closest estimation.

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Across the y-axis, translated 2 units to the right and four units to the left, the new function is now h(x) = -(x + 2)3 - 4

Step (i): The type of transformation change of the function

a) The translated left "c" units are x - c;

b) The translated right "c" units are x + c

Step (ii) The given function is translated "2" units right side, then the new function is

followed by the translated "4" units left sides and reflected across the y-axis.

Now the new function is h(x).

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Answer:

A. Triangular Prism

Step-by-step explanation:

Pyramids have a square base, so it's not that. and it is not rectangular, so it's not that either

The length of PG if PG' is 0.5 units is; 3 units.

The act or action of enlarging, expanding, or widening : the state of being dilated: such as. : the act or process of expanding (such as in extent or volume)

Here, given that,

Dilation is simply defined as the shrinking or enlarging of an object by a scale factor.

Now, we are told that Line HG is dilated to form a shorter line H'G'.

We are told that the scale factor is 1/6.

Point P is the center of dilation and if PG' is 0.5 units, then we can write the relation as follows;

Length of PG'/Length of PG = 1/6

Thus;

0.5/length of PG = 1/6

Length of PG = 0.5/(1/6)

Length of PG = 4 units

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The given triangles are congruent by SAS criteria.

Congruent triangles have both the same shape and the same size.

Given are two right angled triangles as shown in the image.

In the right angled triangles -

Two corresponding sides are equal.

They both have one right angle common.

We can conclude them as congruent by SAS Rule.

Therefore, the given triangles are congruent by SAS criteria.

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Answer:

The answer is 679

Step-by-step explanation:

A significant figure is a number greater than zero so to 3 significant figures just count 3 from the front then round up 9 and it becomes 1 then add it to 8 to become 9 which equals 679

Hope it helps

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Answer:

7/60

Step-by-step explanation:

First, we would need to add up all of the coins and know their values.

1 dime (d) = 10¢

1 nickel (n) = 5¢

1 penny (p) = 1¢

An equation we can use will look something like this:

(d × 7) + (n × 1) + (p × 3) =?

Now just add the numbers and solve.

(10 × 7) + (5 × 1) + (1 × 3) = 78

Therefore, the total amount is 78¢.

Now to figure out how much 78¢ is out of $3, we can use an equation that looks something like this:

3 ÷ 0.78 = 3.84615385 or 7/60

So, this means that with 7 dimes, 1 nickel and 3 pennies it is 7/60 of $3.

Answer:

d or c

Step-by-step explanation: