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The probability of getting an odd number or number less than three is 5 / 6.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

The samples are given below:-

S = { 1, 2 , 3 , 4 , 5 , 6 }

Favourable outcome = Odd numbers = { 1 , 3 , 5 } = 3

Less than three = { 1 , 2 } = 2

The probability will be calculated as:-

Probability = ( 3 / 6 )  + ( 2 / 6 )

Probability = ( 1 / 2 )  + ( 1 / 3 )

Probability = ( 3 + 2 ) / 6

Probability = 5 / 6

Therefore, the probability will be 5 / 6.

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Answer:

the first option is correct:  t(n) = 125(\(\frac{1}{5}\))ⁿ

Step-by-step explanation:

Answer:

Jardon will walk 92 yards more to reach work via his friend's house.

Step-by-step explanation:

Distance between Jardon's home and his friend's home = 240 yards

Distance between friend's house and work = 120 yards

To measure the distance between Jardan's home and work directly we will use the Pythagoras theorem,

Distance from Jardon's home to work directly = \(\sqrt{(240)^2+(120)^2}\)

                                                                             = 120√5

                                                                             = 268.33 yards

Distance between Jardon's house via his friend's house = 240 + 120

                                                                                              = 360 yards

Difference between both the ways to reach the work = 360 - 268.33

                                                                                         = 91.67

                                                                                         ≈ 92 yards

Therefore, Jardon will walk 92 yards more to reach work via his friend's house.

Answer:

15÷5 as a fraction is 15/5 (if you need it the answer to 15÷5 is 3)

Step-by-step explanation:

All of the above.

A critical point is a point on the curve where the derivative (slope) of the function is either zero, undefined, or changes from positive to negative (or vice versa).

A critical point is a point on a curve where one or more of the following conditions are met:

The slope (derivative) of the function is zero.

The slope (derivative) of the function is undefined.

The slope (derivative) of the function changes from positive to negative or vice versa.

These conditions capture different scenarios where the behavior of the function changes significantly. A critical point is an important point to analyze because it can indicate maximum or minimum values, points of inflection, or other significant features of the curve. Therefore, all of the statements mentioned in the options are true about critical points.

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Answer:

12

Step-by-step explanation:

just find the HCF, which will be

2² × 3 = 12

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer: 38 3/4 or 38.75

Step-by-step explanation:

multiply 3 1/2 * 5 = 17 1/2

multiply 4 1/4 * 5 = 21 1/4

add the 2

=38 3/4

Answer:

i need help my self keep trying

Step-by-step explanation:

Answer:

a=(0,0)

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Step-by-step explanation:

the general equation of a parabola is

y = f(x) = a(x - h)² + k

with (h, k) being the vertex.

compare it to the given function :

f(x) = (x + 3)² - 1

clearly,

k = -1

h = -3

so, the vertex is (-3, -1).

if a > 0, then the parabola opens up.

if a < 0, then the parabola opens down.

in our case, a = 1, so it opens up.

and that means the vertex is a minimum (as all other points will be "above" it, meaning their y- or f(x)-value will be larger).

Answer:

1. Coordinates of the vertex of the graph: (-3, -1)

2. The graph opens up.

2. The graph has a minimum.

Step-by-step explanation:

Currently, f(x) = (x + 3)^2 - 1 is in the vertex form of a quadratic equation.  The general equation of the vertex form is given by:

f(x) = a(x - h)^2 + k, where

1.  When dealing with the vertex form, the h coordinate becomes the opposite of what it is inside the parentheses.  Thus, h is -3 and k is -1.  Therefore, the coordinates of the vertex are (-3, -1).

2. Question #1:  We can imagine that there's an imaginary 1 in front of (x + 3)^2 and thus a = 1.

Since a = 1 and a > 0, the parabola opens up.

2. Question #2:  All parabolas that open up will by definition have a minimum.  Thus, the graph of the function f has a minimum.

Answer:

x - intercept -> Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground

increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters

Step-by-step explanation:

x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.

increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..

Given that each roll is independent and that the odds of rolling a 2 are 1/6, the probability of receiving three 2s in a row is 1/216.

a. We can apply the multiplication principle to determine how many outcomes there are overall in the sample space.

There are 666 = 216 possible outcomes in the sample space because there are six outcomes for each die roll and we are rolling the die three times.

b. As each die roll is independent of the others, there is a 1/6 chance that any particular roll will result in a 2.

Therefore, the probability of getting three 2's in a row is (1/6)(1/6)(1/6) = 1/216.

So the probability of all three rolls being 2 is 1/216.

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Answer:

y = 21

Step-by-step explanation:

Lovely ratios can figure out what the missing side is.

You can either have x as the numerator or denominator, but keep it consistent, otherwise...wrong answer.

\(\frac{6}{7} = \frac{18}{y}\)

Now to figure out what y is, we need to isolate y.

\(\frac{6}{7} = \frac{18}{y}\\y*\frac{6}{7} = \frac{18}{y}*y\\\frac{6}{7}y = 18\\\frac{6}{7}y / \frac{6}{7} = 18 / \frac{6}{7}\\y = 21\)

y is 21 when x is 18.

Answer:

41 degrees

Step-by-step explanation:

82/2 = 41

Answer:

x<3

Step-by-step explanation:

3x+5<14

Your first step is to simplify the inequality.

To do this, always look to see if you can subtract any numbers from both sides to isolate a variable.

You can subtract 5 from both sides to isolate the 3x on one side.

After that, you will get 3x<9

Next, you must divide both sides by 3 to try and get x by itself, completing the inequality.

9/3 = 3

Your are left with: x<3

Done!

Answer:

x < 3

Step-by-step explanation:

3x + 5 < 14  subtract 5 from both sides

3x + 5 - 5 < 14 - 5

3x < 9  Divide both sides by 3

\(\frac{3x}{3}\) < \(\frac{9}{3}\)

x < 3

The equation representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The function y = x³, and we need to b it vertically by a factor of 4. So, this can be simply done by multiplying the function (x³) by 4.

Therefore, the b representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

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The equation y = x³ with a vertical stretched by a factor of 4 is y = x³ + 4.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = x³

Vertically stretched by a factor of 4 means,

y = x³ + 4

Thus,

y = x³ + 4 is the equation.

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Answer:

A.

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

-4/9=x/108

you must multiply both sides

108*-4/9 = x*108

=-9/4

Answer:

Step-by-step explanation:

And we have:

Also we have:

or substitute as above given:

Answer:

ST+TU=SU

ST=TU

SU/2=ST=TU

5x-2=3x-4

2x=-2

x=-1

ST=5x-2=5(-1)-2=-5-2=-7 --->|ST|=7

TU=3x-4=3(-1)-4=-3-4=-7 --->|TU|=7

ST+TU=SU ---> 7+7=14

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The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:  $ 126.65

Step-by-step explanation:

149/100)*15 =

(149*15)/100 =

2235/100 = 22.35

15% of $149 is 22.35

so ,

   real price-15% of real price= sale preice

  $149-$22.35=$126.65

Answer:

$ 126.65

Step-by-step explanation:

$ 149 multiply 15 % which is 0.15

Which is $ 22.35

Take $ 149 - $22.35 = $126.65

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

By carefully observing the figure shown:

<MSR is vertically opposite to <NST

Vertically opposite angles are equal

m<NST  =  (17x  +  15)

<NST is alternative to <PTS

Alternative angles are equal

Therefore, m<NST  =  m<PTS

m<NST = 17x + 15

m<PTS  =  19x + 5

17x  +  15   =  19x  +  5

19x  -  17x =  15  -  5

2x   =  10

x   =  10/2

x   =  5

m<NST  =  17x + 15

m<NST  =  17(5)  +  15

m<NST  =  100°

Since m<MSR  =  m<NST

m<MSR   =  100°

m<PTS  =  19x + 5

m<PTS  =  19(5)  +  5

m<PTS  =  100°

m<PTS  +  m<STQ  =  180° (Sum of angles on a straight line)

100   +  m<STQ   =  180

m<STQ   =  180 - 100

m<STQ   =  80°

From the figure shown where MN is parallel to PQ:

m<MSR   =  100°

m<STQ   =  80°

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Answer:

the correct answer is d

Step-by-step explanation:

The leading coefficient is negative, so the graph rises on the left and falls on the right.

Therefore as x approaches infinity, y will be approaching negative infinity.

Answer: 24

Step-by-step explanation:

Factors of 96:  1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 , 120

Highest number between the two sets of factors which is common is 24

If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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The graph of this function opens up and all the y-values range from -3 to infinity, so therefore the range is all x≥-3

The range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The graph of this function opens up and all the y-values range from -3 to infinity, therefore, the range is all x≥-3. The graph is attached with the answer below.

Therefore, the range of the function f(x) = |x| – 3 is {f(x) ∈ ℝ | f(x) ≥ –3}. The correct option is A.

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Answer:

option D. 10

Step-by-step explanation:

\(\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10\)

Answer:

x = 10

Step-by-step explanation:

\( \dfrac{34}{85} = \dfrac{4}{x} \)

Cross multiply.

34x = 4 × 85

34x = 340

Divide both sides by 34.

x = 10

The value of given summation is 2∑[d :3 _ 6](d² - d) = 136

In this question we have been given an expression 2∑[d:3 _ 6](d² - d)

We need to evaluate given summation.

2∑[d : 3 _ 6](d² - d)

For d = 3,

d² - d = 3² - 3

d² - d = 9 - 3

d² - d = 6

For d = 4,

d² - d = 4² - 4

d² - d = 16 - 4

d² - d = 12

For d = 5,

d² - d = 5² - 5

d² - d = 25 - 5

d² - d = 20

For d = 6,

d² - d = 6² - 6

d² - d = 36 - 6

d² - d = 30

So, given expression of summation would be,

2∑[d : 3 _ 6](d² - d)

= 2 × [(3³ - 3) + (4² - 4) + (5² - 5) + (6² - 6)]

= 2 × (6 + 12 + 20 + 30)

= 2 × ( 68)

= 136

Therefore, the value of given summation is 2∑[d :3 _ 6](d² - d) = 136

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15 feet hope this helps UwU