Find the equation of a line parallel to 4x + 4y = -28 that passes
through the point (−4, –4).
Oy-4=x-4
Oy+4= x +4
○y-4=− (x − 4)
Oy+4= (x+4)
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After 2.68 hours the price of both stocks be the same.

A stock denotes an investment to the public company. The term stock is used to confirm the certificate of all shareholders who invested for a large company.

The word stock price refers the current value or market price. price can be dropped or extended or remain the same.

Given, The price of stock A at 9AM =$14.62

since then, this price start increasing $0.13 per hour

At noon the price of Stock B =$15.37

since then, this price start decreasing $0.15 per hour

let, it takes x hours that the prices of both stocks become equal.

after x hour the stock A become $14.62+$0.13x

after x hours the stock B become $15.37-$0.15x

as per given statement, 14.62+0.13x = 15.37-0.15x

   solving equation, we get x=2.68

hence, after 2.68 hours the price of both stocks be the same.

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Answer:

  1 2/7 hours (after noon)

Step-by-step explanation:

You want to know how long after noon two stocks will have the same price if A was $14.62 at 9 a.m. and increasing $0.13 per hour, while B was $15.37 at noon and decreasing $0.15 per hour.

If x represents hours after midnight, the price of stock A can be described by ...

  A = 14.62 +0.13(x -9)

and the price of stock B can be described by ...

  B = 15.37 -0.15(x -12)

The two prices will be the same when ...

  A = B

  14.62 +0.13(x -9) = 15.37 -0.15x -12 . . . . . substitute for A and B

  0.13x +13.45 = -0.15x +17.17

  0.28x = 3.72 . . . . . . . . . add 0.15x-13.45

  x = 3.72/0.28 = 13 2/7 . . . . . . hours after midnight

To find the number of hours after noon, we need to subtract 12 from this number. 13 2/7 -12 = 1 2/7

The two stocks will be the same price after 1 2/7 hours.

__

Additional comment

That's about 1:17 p.m.

The wording "in how many hours" is a bit ambiguous, since there are two different time references given in the problem. We assume we want hours after the later time reference, noon.

To find [tex]\frac{2}{3}[/tex] of a whole number, you can divide the number by 3 and then multiply the result by 2.

For example, if you want to find [tex]\frac{2}{3}[/tex] of the number 15, you can perform the following calculation:

[tex]\frac{2}{3}[/tex] × 15 = 10

This means that [tex]\frac{2}{3}[/tex] of the number 15 is equal to 10.

You can also find [tex]\frac{2}{3}[/tex] of a whole number by dividing the number by 3 and then multiplying the result by 2.

For example:

[tex]\frac{15}{3}[/tex] = 5

2 × 5 = 10

So, [tex]\frac{2}{3}[/tex] of the number 15 is also equal to 10.

Alternatively, you can find [tex]\frac{2}{3}[/tex] of a number by expressing it as a decimal. [tex]\frac{2}{3}[/tex] can be expressed as 0.6666666667, so you can multiply the whole number by 0.6666666667 to find [tex]\frac{2}{3}[/tex] of it. For example:

0.6666666667 × 15 = 10

So [tex]\frac{2}{3}[/tex] of the number 15 is equal to 10.

A whole number is a positive integer that is greater than 0, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, etc. Whole numbers do not include fractions, decimals, or negatives.

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If at a store 4% of the eggs are cracked and you buy a dozen, then the probability that at least 1 is cracked is 0.916

The probability that the egg is cracked = 4%

= 0.04

The probability that the egg is not cracked = 1 - 0.04

= 0.96

Total number of eggs = 12 eggs

The probability that the one egg is cracked = 12 × 0.04 × (0.96)^11

= 0.306

The probability that 0 eggs are cracked = 1 × 0.04^0 × 0.96^12

= 0.61

The probability that at least 1 egg is cracked = 0.306 + 0.61

= 0.916

Therefore, the probability that at least 1 egg is cracked is 0.916

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Answer:

I'm pretty sure its 3500

Answer:

3,500 meters above the ground.

Step-by-step explanation:

The working is in the picture I attached to this response.

⭐ if this response helped you, please mark it the "brainliest"!⭐

Answer:

There is around 30 meter in 100 feet

Step-by-step explantion I did it mentally.

The mean number of people with the genetic mutation in these groups is 80 as this follows a Binomial Distribution.

It is given that 10% of the population has a genetic mutation. We have a sample of 800 here.

Let X be the random variable that defines the number of people with the mutation in the sample.

Since every person can or can't have the mutation, this is a Binomial distribution.

Here,

n = 800

p = 0.1

According to the formula for a Binomial Distribution,

the mean = np

Therefore, the mean for the above distribution will be

800 X 0.1

= 80.

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The correct answer is 64

Demoivre's theorem states that for all complex numbers z and all positive integers n:

z^n = (r^n) × (cos(n∅) + isin(n×∅))

where r is the magnitude of z and theta is the argument of z.

To use Demoivre's theorem to simplify (1−i)^12, we can first write (1−i) in polar form as r × cis(∅). where r is the magnitude and cis(∅) is the size complex number. is 1, the argument ∅. In this case the size of (1−i) is √(1^2 + (-1)^2) = √(2) and the argument of (1−i) can be found using the arctangent function.

∅ = arctan(-1÷1) = -45 degrees.

So (1−i) can be written as sqrt(2) × cis(-45 degrees). Applying this to Demoivre's theorem, we get:

(1−i)^12 = (√(2)^12) × (cos(-540°) + i×sin(-540°))

We can simplify this to:

(1−i)^12 = 2^6 × cis(-180°)

This can be further simplified as follows.

(1−i)^12 = 64 × (-1)

the final answer is -64.

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Any method of sampling in which every individual is equally likely to be selected.

What does "simple random sampling" mean?

Simple random sampling is a sort of probability sampling in which a subset of participants from a population is randomly chosen by the researcher.

                      There is an equal opportunity for selection for every person in the population. Then, data are gathered from as many of the individuals in this chosen subset as is feasible.

A simple random sampling is a method of sampling where each potential participant has an equal chance of being chosen. In other words, the likelihood that any given person will be chosen is 1/n if there are n people.

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The slope of each pair point is listed below:

Case A: m = - 4

Case B: m = 6 / 7

Case C: m = - 3

Case D: m = 4

Case E: m = - 5 / 2

In this problem we find five cases of two points that are part of a line, whose slope (m) can be calculated by means of secant line formula:

m = (y₂ - y₁) / (x₂ - x₁)

Where:

Now we determine the slope for each case:

Case A:

m = (10 - 2) / (7 - 9)

m = 8 / (- 2)

m = - 4

Case B:

m = [- 5 - (- 11)] / [- 1 - (- 8)]

m = 6 / 7

Case C:

m = [3 - (- 6)] / (2 - 5)

m = 9 / (- 3)

m = - 3

Case D:

m = (- 1 - 3) / (5 - 6)

m = - 4 / (- 1)

m = 4

Case E:

m = (2 - 7) / (6 - 4)

m = - 5 / 2

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The answer is:

- 2x/(1+x^2)^2

The value of kinetic energy will be 37.5 Jules.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A ball of mass of 6kg rolls with a velocity of 10m/s and creates 300 Jules of kinetic energy.

Now,

Since, A ball of mass of 6kg rolls with a velocity of 10m/s and creates 300 Jules of kinetic energy.

Hence, The value of kinetic energy with a mass of 3kg and a velocity of 5m/s create will be;

⇒ Kinetic energy = 1/2 mv²

⇒ Kinetic energy = 1/2 × 3 × 5²

                           = 1/2 × 3 × 25

                           = 37.5 Jules

Thus, The value of kinetic energy will be 37.5 Jules.

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Answer:

height = 5 m

Step-by-step explanation:

the volume (V) of a cuboid ( shape of room ) is calculated as

V = A h ( A is the area of the base and h the height )

here V = 235 and A = 47 , then

47h = 235 ( divide both sides by 47 )

h = 5 m

Answer:

volume= height * length * breadth = 235

area= length * breadth = 47

Step-by-step explanation:

47*height= 235

height=5sq

The test statistic is less than - 1.796

Hypothesisi test

H0: μ = 46

Ha: μ < 46

This is a lower tailed test

mean = 42

standard deviation = 11.9

sample size n = 12

The level of significance α = 0.05

degree of freedom df = n - 1 = 12 - 1 = 11

Test statistic = (x - mean)/(standard deviation / √n) = (42 - 46)/(11.9 / √12) = - 1.164

Test statistic = - 1.164

Using t- table, we can observe that the p - value is between 0.10 and 0.15

Using excel we find p - value = P(t < - 1.796)

p value = 0.1344

H0: μ < 46, rejection rule is

Reject H0 if test statistic < - 1. 796

Therefore, we reject the hypothesis as the test statistic is less than - 1.796

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Step-by-step explanation:

when you look at that right-angled triangle that is created by the plank as Hypotenuse (the side opposite of the 90° angle), and the distance on the ground from the wall and the height on the wall (from ground to the plank) as the legs, we know that the Hypotenuse (the plank) is the radius of the trigonometric circle we can draw there, and the 15 m ground distance from the wall is

cos(our angle) × radius

15×sqrt(3) × cos(our angle) = 15

cos(our angle) = 1/ sqrt(3) = 0.577350269...

our angle = 54.73561032...°

The length of DB, AD and AC are 24 m, 32 m, 42 m respectively. The measurement of ∠C = 67.38°.

What is a right angle triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given that, in △BCD

BD = 24 m

DC = 10 m

BC = 26 m

△BCD is a right angle triangle.

The trigonometry ratio of sine is ratio of height to hypothenuse.

With respect to C, the height of △BCD is 24m and hypothenuse is 26m.

sin C = height/hypothenuse

sin C = 24/26

C = 67.38°

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The 33rd percentile is 75.4.

Percentile is defined as the value below which a given percentage falls under. The percentile formula is used when we need to compare the exact values or numbers over the other numbers from the given data i.e. the accuracy of the number.

To find the percentile, here are a few steps to use the percentile formula. If q is any number between zero and hundred, the qth percentile is a value that divides the data into two parts i.e the lowest part contains the q percent of the data and the rest of the data is the upper part.

We find the rank.

Rank = Percentile ÷ 100

Rank = 33 ÷ 100 = 0.33

So, the rank is 0.33.

Using the percentile formula,

Percentile = Rank × Total number of the data set

Percentile = 0.33 × 117

Percentile = 38.61 ≅ 39

Now, counting 39 values from left to right we reach 75.4, and we can say that all the values below 75.4 will come under the 33rd percentile. In other words, 33% of the values are below 75.4.

Therefore, the 33rd percentile is 75.4.

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Therefore the probability that  she buys at least one of the previous items is 0.1333

The area of mathematics known as probability deals with numerical descriptions of the likelihood that an event will occur or that a statement is true .A number between 0 and 1 is the likelihood of an event, where, broadly speaking, 0 signifies the event's impossibility and 1 denotes its certainty.

Given:

event A: she buys  red dress.

event B: she buys a blue dress.

event C: she buys a necklace.

the probability she will buy a red dress is 0.2,

the probability she will buy a blue dress is 0.4

there is 10% chance  she will buy a necklace =0.10

The probability she wants to buy at most one dress,

P(A or B or C) =0.2 +0.4 +0.1 -(0.08 -0.04 -0.02 +0.08)

P(A or B or C) =0.568

the probability she buys at least one of the previous items is

[tex]\frac{P(A or B or C)}{P(AorB andC)}[/tex] = [tex]\frac{0.2 * 0.1 * 0.4}{(0.2 * 0.1)+(0.1 *0.4)}[/tex]

 [tex]\frac{P(A or B or C)}{P(AorB andC)}[/tex]= 2/15 =0.133

Therefore the probability that  she buys at least one of the previous items is 0.1333

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A linear relationship is a distribution of scores where a straight line can be visualized in the middle of a maze of cases running from one corner to another.

What does the term "linear relationship " mean?

A statistical word used to express a straight-line relationship between two variables is a linear relationship (or linear association).

                         Graphs and mathematical equations of the form y = mx + b can both be used to represent linear relationships.

Why are relationships linear and nonlinear?

Plotting a linear relationship on a graph results in a straight line, whereas plotting a nonlinear relationship results in a curve.

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Answer:

33

Step-by-step explanation:

                                              Difference from

Day     Number of apples      previous day              

1           1                                   -

2          2                                  1

3          3                                  1  

4          5                                 2

5          7                                 2

6          9                                 2

7           12                               3

8           15                               3

9           18                               3

10          22                             4

11           26                             4

12         30                              4

13          35                             5

14          40                             5

15          45                             5

16          51                              6

17           57                            6

18           63                            6

19           70                            7

20          77                             7

21           84                            7

The differences between consecutive days started at 1, then 2, then 3, etc. The last day of any specific difference is a multiple of 3.

For example, day 3 was the last day of a difference of 1.

Day 6 was the last day of a difference of 2.

Day 9 was the last day of a difference of 3.

Day 12 was the last day of a difference of 4.

In each case, 6/2 = 3; 9/9 = 3; 12/4 = 3.

99 is a multiple of 3, so it will be the last day with a difference of 99/3 = 33

Answer: 33

The measure of an exterior angle supplementary to one of the base angles of this isosceles triangle is 2 * (4x + 5)° = 8x + 10°.

What is an isosceles triangle?

An isosceles triangle, therefore, has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg)

In an isosceles triangle, the two base angles are equal. Therefore, the measure of each base angle is (4x + 5)°.

An exterior angle of a triangle is supplementary to one of the base angles if it forms a straight line with the base angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two base angles.

Therefore, the measure of an exterior angle supplementary to one of the base angles of this isosceles triangle is 2 * (4x + 5)° = 8x + 10°.

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Answer:

y - 2 = - [tex]\frac{3}{4}[/tex] (x + 8)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{3}{4}[/tex] and (a, b ) = (- 8, 2 ) , then

y - 2 = - [tex]\frac{3}{4}[/tex] (x - (- 8) ) , that is

y - 2 = - [tex]\frac{3}{4}[/tex] (x + 8)

There is enough evidence to conclude that the doctor's claim is true.

We have given that,

population mean μ = 11 pounds

sample size n = 25

sample mean x = 12 ponds

standard deviation σ = 4 pounds

so the null hypothesis is H₀ : μ = 11 pounds

and the alternative hypothesis is Hₐ : μ > 11 pounds

now we will calculate test statistics,

t = (x-μ)/(σ/√n)

 = (12 - 11)/(4/√25)

 = 1/(4/5)

t = 1.25

p-value from the z-table is 0.10565

the result is non significant at p < 0.01.

Hence the null hypothesis rejected .

Therefore there is enough evidence to conclude that the doctor's claim is true.

The level of significance is the measurement of the statistical significance. It defines whether the null hypothesis is assumed to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected.

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Answer:

y = x + 2

Step-by-step explanation:

Use the slope-intercept form:

y=mx+b

M represents the slope of the line

B represents the y-intercept

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3(x-5)=12

Use distributive property on with the 3 and parenthesis (3 times x and 3 times -5)

3x-15=12

Add fifteen to both sides (15 on the left side cancels out)

3x=27

Divide both sides by 3 (3 on the left side cancels out)

x=9

The length of the YZ for the two similar triangles will be 9 inches.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Given that triangle, ABC is similar to triangle XYZ. The value of the side YZ will be calculated by the similarity property,

YZ / BC = XZ / AC

x / 3 = 15 / 5

x = ( 15 x 3 ) / 5

x = 3 x 3

x = 9 inch

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The value of angle x that extends from the given polygon is 61°.

How to find the value of x?

The angle of straight line will be 180°

119° + x = 180°

x = 180° - 119°

x = 61°

Hence, the value of x that extends from the given polygon is 61°.

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The parabola's vertex has the equation y = x² - 8x + 12 is (4, -4).

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line. A plane curve created by a point moving so that its distance from a fixed point equals its distance from a fixed line is known as a parabola. A normal parabola's standard equation is y 2 = 4 an x, where an is the distance from the vertex to the focus.

Given,

Function,

y = x² - 8x + 12

The supplied equation's vertex must be located.

The equation is a parabolic equation when we look at it.

We are aware that a parabolic equation's generic form is

y = x² - 8x + 12

where the parabola's vertex's x and y coordinates are denoted by h and k.

We can determine the following by comparing the aforementioned equation with the parabola's general form:

x = 4, y = 4 and h = -8

The parabola's vertex has the equation y = x² - 8x + 12 is (4, -4).

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The capgemini iot industry 4.0 case provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

The new era of digitization, known as smart industry, includes industry 4.0 but expands well beyond it. Disruptive technologies and data enable use cases that were not previously possible, such as multi-physics modelling, remote operations, digitization of products and processes, driver less cars, linked products, reinvented consumer experiences, and novel as-a-service business models.

We work with customers to uncover new business model options, address industry obstacles, and navigate complicated ecosystems so they can gain and maintain a competitive edge. Using our expertise in engineering, technology, IT, data, and consulting, we inject intelligence into our operations, products, and services. To provide an entire end-to-end transformation, we encourage human-centered design and ground-breaking innovation.

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The equation in standard form for the circle will be;

⇒ (x + 2)² + (y - 9)² = 1

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle that has a diameter with endpoints (-2,10) and (-2,8).

Now,

Since, The circle that has a diameter with endpoints (-2,10) and (-2,8).

Hence, The radius of circle is the half of the distance between two points of the diameter.

So, Radius = 1/2 (√ (8 - 10)² + (- 2 - (-2))²

                 = 1/2 √4

                = 1/2 × 2

                 = 1

Thus, Radius (r) of circle = 1

And, The center of circle is midpoint of the endpoints of the diameter.

Hence, Centre = (- 2 + (-2))/2, (10 + 8)/2

                       = - 4/2 , 18/2

                       = (- 2, 9)

Hence, The equation of circle with center (-2, 9) and radius 1 is;

⇒ (x - (-2))² + (y - 9) = 1²

⇒ (x + 2)² + (y - 9)² = 1

Thus, The equation in standard form for the circle will be;

⇒ (x + 2)² + (y - 9)² = 1

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