Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate

\(4c \: + 18 = 74\)

\( \implies \: 4c = 74 - 18\)

\( \implies \: 4c = 56\)

\( \implies \: c = \cancel \dfrac{56}{4} \)

\( \implies \: c = 14\)

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

The parent function for the set of functions f(x), g(x) and h(x) is:

p(x) = x.

The parent function is given by:

p(x) = x.

Because everyone of these functions is a transformation of the function p(x), as follows:

All these transformations are from the base function p(x) = x, which is the parent function for all these other functions.

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To determine whether the number of customers, which is expected to be 15 each day, follows a uniform distribution, a chi-square test for goodness of fit should be performed with a specified significance level (alpha).

The chi-square test for goodness of fit is used to determine if observed data follows an expected distribution. In this case, we want to test whether the number of customers each day, which is expected to be 15, follows a uniform distribution.

To perform the test, we need to collect data on the number of customers over a period of time and compare it to the expected uniform distribution. The observed frequencies for each category (e.g., the number of days with 0 customers, 1 customer, 2 customers, etc.) would be obtained.

Then, the chi-square test statistic can be calculated based on the observed and expected frequencies. The test statistic measures the discrepancy between the observed and expected distributions.

To interpret the test results, we compare the calculated chi-square value to the critical chi-square value at the chosen significance level (alpha). If the calculated chi-square value exceeds the critical value, we reject the null hypothesis and conclude that the number of customers does not follow a uniform distribution. Conversely, if the calculated chi-square value does not exceed the critical value, we fail to reject the null hypothesis, indicating that the number of customers can be considered to follow a uniform distribution.

Please note that the specific calculations and decision-making process require additional data and the use of statistical software or tables to obtain the critical chi-square value.

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If "coffee-shop" is 5 blocks East of Amber's house and park is 3 blocks West of Amber's house, then the distance in blocks between "coffee-shop" to park is 8 blocks.

The distance between the "coffee-shop" and "Amber's house" is 5 blocks to the East, and the distance between the "park" and "Amber's house" is 3 blocks to the West.

To find the distance between the "coffee-shop" and the park, we can add the distances from the coffee shop to Amber's house and from Amber's house to the park:

On adding both the distance ,

We get,

⇒ 5 + 3 = 8,

Therefore, the distance between the coffee shop and the park is 8 blocks.

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The frequently used strategic approach to setting a company apart from rivals and achieving a sustainable competitive advantage which is not included among the options is: simply trying to mimic the successful strategies of rivals.An effective strategy is needed for companies to achieve their goals, which includes setting themselves apart from their rivals and achieving a competitive edge. There are different strategic approaches that companies use in order to achieve this.

Some of the strategic approaches are;Outcompeting rivals on the basis of such differentiating features as higher quality, wider product selection, added performance, better service, or more attractive styling.Focusing on a narrow market niche and winning a competitive edge by doing a better job than rivals of satisfying the needs and tastes of buyers comprising the niche.Aiming for a cost-based competitive advantage.

However, one of the strategic approaches to setting a company apart from rivals and achieving a sustainable competitive advantage that is not frequently used is simply trying to mimic the successful strategies of rivals.Therefore, option B is the correct answer to the question.Meanwhile, a company's strategy evolves over time due to some basic reasons which include:the need to respond to the actions and competitive moves of rival firms,the proactive efforts of company managers to improve the company's financial performance and secure a competitive advantage,an ongoing need to abandon those strategy features that are no longer working well.

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Answer:

1rst one

Step-by-step explanation:

Answer:

There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix. Example 3: A Row matrix of the order 1 x 3, is: A = [ 1 3 8 ] 1 × 3. In the above example, there are three elements in the matrix arranged in a single row and three columns.

Step-by-step explanation:

HOPE IT HELPS U BTW HAVE A GOOD DAY :D

Means and Variances of Linear Combinations:


(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22 + 4σ122



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22 + 4σ122



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22



In the case that X1 and X2 are independent, then σ122 = 0, so:

(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22

For any other value of a, the vectors −→v = ha 2 , 6i and −→w = h4a, 2i are not parallel.

What is vector?

A vector is a mathematical object that has both magnitude and direction. In physics and engineering, vectors are often used to represent physical quantities such as velocity, force, and acceleration.

Two vectors are parallel if they are scalar multiples of each other, i.e., if one vector is a multiple of the other.

To check if the vectors −→v = ha 2 , 6i and −→w = h4a, 2i are parallel, we can find the scalar k such that:

−→w = k −→v

Using the component form of the vectors, we get:

h4a, 2i = k h a 2 , 6i

This gives us the following system of equations:

4a = ka

2 = 6k

Solving for k in the second equation, we get:

k = 2/6 = 1/3

Substituting k = 1/3 in the first equation, we get:

4a = (1/3) a

Multiplying both sides by 3, we get:

12a = a

Simplifying, we get:

11a = 0

Therefore, the only solution is a = 0.

Thus, for any other value of a, the vectors −→v = ha 2 , 6i and −→w = h4a, 2i are not parallel.

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Answer:

64ft

Step-by-step explanation:

The angle of intersection at each point is 42.3 degrees.

Angle is the space between the line or the surface that meets.  And the angle is measured in degrees. For complete 1 rotation, the angle is 360 degrees.

The helix r(t) = (cos(πt/2), sin(πt/2), t) intersect the sphere z = x² + y²+ z² = 2.

The coordinate (x, y, z) of the helix satisfies the equation of the sphere.

Then we have;

cos² (πt/2) + sin² (πt/2) = 1

So, the helix intersects the sphere when t = 1. This is the point

(cosπ/2, sinπ/2, 1) = (0, 1, 1)

The angle of intersection between the helix and the sphere is the angle between the tangent vector to the curve and the tangent plane to the paraboloid.

The tangent vector to the helix in t = 1

r'(t) when t = 1

r (t) = (cosπt/2, sinπt/2, 1)

r' (t) = (- sin (πt/2) π/2, cos (πt/2) π/2, 0)

At t = 1;

r' (t) = (- π/2, 0, 0)

A normal vector to the tangent plane of the surface

n = x² + y² + z²

at the point (0, 1, 1) is given by

\((\dfrac{df}{dx} (0,1,1), \dfrac{df}{dy} (0,1,1), \dfrac{df}{dz} (0,1,1))\)

Here, we have;

\(\dfrac{df}{dx}= 2x\\\dfrac{df}{dx} (0,1,1) = 0\)

\(\dfrac{df}{dy}= 2y\\\dfrac{df}{dy} (0,1,1) = 2\)

\(\dfrac{df}{dz}= 2z\\\dfrac{df}{dz} (0,1,1) = 2\)

So, a normal vector to the tangent plane is (0, 2, 2)

The angle between the tangent vector and the normal vector can be found using the dot product:

\(\theta = \dfrac{arccos((r'(t) \triangledown (x^2 + y^2 + z^2))}{(||r'(t)|| \times ||∇(x^2 + y^2 + z^2)||)) }\)

After substituting the values,

\(\theta = arccos \frac{2}{\sqrt{(\dfrac{\pi^2}{4} + 5)}}\)

\(\theta = 42.3^{\circ}\)

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The number of red chips in the bag is 4

From the question, we have the following parameters that can be used in our computation:

Number of chips = 10

Colours of chips = Blue and red

When 1 blue chip is removed, we have the following probability value

P(Blue) = 3/5

Express the denominator as 10

So, we have the following representation

P(Blue) = 6/10

This means that

Blue : Total = 6 : 10

This also means that

Blue : Blue + Red = 6 : 10

So, we have

Blue + Red = 10

Blue = 6

Substitute the known values in the above equation, so, we have the following representation

6 + Red = 10

Evaluate

Red = 4

Hence, the number of red chips is 4

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Complete question

a bag contains only red and blue plastic chips. there were 10 chips in the bag and 1 blue chip was removed. the probability of drawing a blue chip was then 3/5. how many red chips were in the bag?

Answer:

BE = (× + 4), ED = (× + 7),

THAT IS ALL I CAN HELP

The point estimate of the mean for the data set is 90 and the standard deviation is  approximately 5.59 .

The value of the parameter in the sample is used to determine the point estimate of a population parameter.

a) In this issue, the mean is the parameter whose estimate we seek.

Sample numbers for this issue are 94, 85, 85, 94, and 92.

(Amount of units sold monthly).

The sample mean is calculated as follows: Since the sample mean is calculated as the sum of all observations in the sample divided by the total number of observations:

Mean = (94 + 85 + 85 + 94 + 92)/5 = 90.

b) The data set for the number of units sold are  94 80 85 94 92

Standard deviation is calculated using the formula: \({\displaystyle s_{N}={\sqrt {{\frac {1}{N}}\sum _{i=1}^{N}\left(x_{i}-{\bar {x}}\right)^{2}}},}\)

here n= 5

x = 90

Substituting the values we get

Sₙ = 5.585..

Sₙ ≈ 5.59

Therefore the mean is a) 90 and the standard deviation is approximately 5.59 .

The standard deviation in statistics is a measure of variation or dispersion (which relates to the degree to which a distribution is stretched or compressed) between values in a set of data. It is typically represented by the symbol.

The tendency is that the lower the standard deviation, the closer the data points will be to the mean (or expected value). On the other side, a higher standard deviation indicates a wider range of values

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Answer:

97/100 meters

Step-by-step explanation:

here's the link

=> the measure of first board = 47/100 meters

=> the measure of second board = 5/10 meters

=> total length = 47/100 + 5/10

=> length = (47+50)/100

=> length = 97/100 meters

hope it helps

Answer:

3 x 3 x 3 or 3 to the 3rd power :)

Step-by-step explanation:

Lets solve! :)

3 x 3 x 3

9 x 3

27

The volume of the tank would be 27s :)

Have an amazing day!!

Please rate and mark brainliest!

Answer:

75

Step-by-step explanation:

100/2=50   he spent $50 on video games

then 50/2 = 25  he spent $25 on the music store

50 + 25 = 75

i cant give you a answer because there is no other problems

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

The probability distribution of x can be calculated as follows:

Given that 6% of all cars produced at a large auto company are lemons. This means that out of every 100 cars manufactured at the company, 6 of them are lemons.Let x denote the number of lemons in this sample. Then, x can take the values 0, 1, or 2. To find the probability of each value of x, we use the binomial probability formula, which is:

P(x) = (nCx) * p^x * (1-p)^(n-x)

where n is the sample size, p is the probability of success, and x is the number of successes.

The sample size is 2 because we are selecting two cars at random from the production line. The probability of success (getting a lemon) is 0.06. Using the binomial probability formula, we get:

P(0) = (2C0) * 0.06^0 * (1-0.06)^(2-0) = 0.8836

P(1) = (2C1) * 0.06^1 * (1-0.06)^(2-1) = 0.1060

P(2) = (2C2) * 0.06^2 * (1-0.06)^(2-2) = 0.0564

Therefore, the probability distribution of x is:X P(x) 0. 0.8836 1. 0.1060 2. 0.0564

In conclusion, the probability of getting 0 lemons in the sample is 0.8836, the probability of getting 1 lemon in the sample is 0.1060, and the probability of getting 2 lemons in the sample is 0.0564.

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Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

\(m_1*m_2=-1\)

\(m_1\) in this instance would be 1/0, so we can substitute it into the equation:

\(\frac{1}{0} *m_2=-1\)

Multiply both sides by 0

\(m_2=0\)

So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

y=0x+b

Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

11=0(-8)+b

Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

Answer:

Step-by-step explanation:

u take 2(64)-600-94 then u get 120

Answer:

240

Step-by-step explanation:

i had a stroke reading the one above me but i took the test:)

Answer:

210

Step-by-step explanation:

so the formula for the area of a triangle is base × height ÷ 2

so you do 60 × 7 = 420 then divide by 2 = 210

Answer:

I Think D.

Step-by-step explanation:

\( {m}^{2} + 5m + 7 \\ \\ put \: m = - 2 \\ \\ = {( - 2)}^{2} + 5 \times ( - 2) + 7 \\ = 4 - 10 + 7 \\ = 11 - 10 \\ = 1\)

\(\huge \boxed{\sf 1}\\\\\\\sf Evaluate\ for\ m=-2\\\\(-2)^2+5(-2)+7\\\\4+(-10)+7\\\\=1\)

Answer:

x-intercept:8

y-intercept:16

Step-by-step explanation:

This is the equation of a straight line. When the line crosses the x-axis that is the x- intercept, the corresponding y-coordinate will be zero. Substituting y = 0 into the equation and solving for x gives the x-intercept.

8x-(4×0)=-64

         -8x=-64

             x=8   <=  the x-intercept.

Similarly, when the line crosses the y-axis the corresponding x- coordinate will be zero. Let x = 0 and solve for y.

(8×0)-4y=-64

        -4y=-64

           y=16    <=  the y-intercept .

Answer:

x = 1/2

y = -8

Step-by-step explanation:

Let's solve for x.

8x−4y=−64

Step 1: Add 4y to both sides.

8x−4y+4y=−64+4y

8x=4y−64

Step 2: Divide both sides by 8.

8x/8 = 4y−64 / 8

x= 1/2 y−8

The estimated height of the child at delivery is represented by the y-intercept, which is 72.66.

We may use linear regression to construct an equation that represents the link between this child's height and age. The line of best fit for the supplied data is determined by linear regression, which can be written as:

Age (years) + b * m * Height (cm)

where m denotes the line's slope and b its y-intercept.

The equation that most closely matches the above data can be determined using a calculator or spreadsheet software as follows:

Age (years) + 72.66 Height (cm) = 6.087

Thus, the height of the youngster increases by roughly 6.087 centimetres for every year that their age rises. The estimated height of the infant at delivery is represented by the y-intercept, which is 72.66.

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The length of the red side is 9.9 units. The length of the blue side is 4.5 units. Using the Pythagorean Theorem, the length of the black side is 9.0 units (rounded to the nearest tenth).

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Length refers to the measurement of something from one end to the other. It is usually expressed in units such as meters, centimeters, inches, or feet.

According to the given information:

To find the length of the black side using the Pythagorean theorem, we need to first find the lengths of the red and blue sides.

Let's label the coordinates:

A = (4.5, 2)

B = (-4, -2)

C = (4.5, -2)

The length of the red side, AB, is given by the distance formula:

AB = √((4.5 - (-4))² + (2 - (-2))²) = √(8.5² + 4²) = √(85.25) ≈ 9.2

The length of the blue side, BC, is also given by the distance formula:

BC = √((4.5 - 4.5)² + ((-2) - (-2))²) = √(0 + 0) = 0

Now we can use the Pythagorean theorem to find the length of the black side, AC:

AC² = AB² + BC²

AC² = 85.25 + 0

AC² = 85.25

AC ≈ 9.2

Therefore, the length of the black side is approximately 9.2 units.

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True, the SDLC's planning phase yields a general overview of the company and its objectives. During this initial stage, the project's purpose, scope, and requirements are defined.

True. The planning phase of the Software Development Life Cycle (SDLC) is crucial in determining the direction and scope of the project. During this phase, the project team analyzes the company's goals, objectives, and requirements. This includes identifying the company's strengths, weaknesses, opportunities, and threats (SWOT analysis). The team also determines the feasibility of the project, identifies potential risks, and creates a plan for project execution. The planning phase yields a general overview of the company and its objectives, providing a solid foundation for the rest of the SDLC stages. It is essential to have a well-defined plan during this phase to ensure that the project aligns with the company's objectives and meets the expectations of the stakeholders.

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Simple interest formula (not compound interest formula) is used here, as much as i know.

the formula is:

f = p * (1 + r * n).

f is the future value

p is the present value

r is the interest rate per time period

n is the number of time periods

Given

Therefore, we have

Hence, the answer is