they were safer and shorter working days.

Answer:

There will be no money left over to save

Step-by-step explanation:

1/2 on clothes is 50%

1/3 on books is 30%

and 1/5 on pens is 20%

50%+30%+20%= 100%

there wont be any money left to save

The expression that has the element of A*B*B is Option A - (b,2,3)

Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

The "elements" of a set are the objects that make up the collection. Sets are equal if and only if they have the same elements, therefore a = A denotes that 'a' is one of A's elements. For sets, repetition and order are irrelevant.

Given, A={a.b} and B=[1,2,3]

Since the required expression was supposed to have the element of A*B*B the correct option would be A since it has elements b from A, 2 from B, and 3 from B, fulfilling all the required elements.

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An equation represents the slope-intercept form of the given line is y= 1/2 x+8. Therefore, option D is the correct answer.

Given that, y-intercept = (0, 8) and slope = 1/2.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Substitute m=1/2 and c=8 in y=mx+c, we get

y= 1/2 x+8

Therefore, option D is the correct answer.

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Answer:

Maria: 100%

tessa: -60%

Step-by-step explanation:

maria: (6- 3) : 3 = 1

1 x 100 = 100%

tessa: ( 2 - 5) : 5 = -0.60

-0.60 x 100 = -60 %

Answer:

Step-by-step explanation:

Maria:

Increase = 6 - 3 = 3

Percentage of increase = \(\frac{3}{3}*100\) = 100% increase

Tessa:

Decrease= 5 - 2 = 3

Percentage of decrease = \(\frac{3}{5}*100\) = 3 * 20 = 60%

Difference = (100 - 60)% = 40%

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

5 times

Step-by-step explanation:

Given that,

The area of Canada is approximately 1×10⁷ square kilometers, and the area of Mexico is approximately 2×10⁶ square kilometers.

We need to find the area of Canada is approximately how many times the area of Mexico.

Dividing both areas as follows :

\(\dfrac{A_c}{A_m}=\dfrac{10^7}{2\times 10^6}\\\\\dfrac{A_c}{A_m}=5\\\\A_c=5A_m\)

So, the area of Canada is approximately 5 times the area of Mexico.

Answer:

Let x be the daily fee

0.5(48) +x = 64  is the equation,

Multiply:

24 + x = 64

Subtract:

x=40

The daily fee is $40

The constraint can then be written as: S ≤ 0.07 × T. This equation represents the constraint for the amount of sulfur in the chemical blend of X and can be incorporated into the linear programming model to ensure that the solution meets the given requirement.

The constraint can then be written as: S ≤ 0.07 × T, This equation represents the constraint for the amount of sulfur in the chemical blend of X and can be incorporated into the linear programming model to ensure that the solution meets the given requirement.

We are given that the amount of sulfur relative to the total output produced of chemical X may not exceed 7%. To express this constraint in a linear programming model, we can use the following equation:

Sulfur Content ≤ 0.07 × Total Output

Here, the "Sulfur Content" represents the total amount of sulfur present in the chemical blend, while "Total Output" refers to the total amount of chemical X produced. By setting the constraint to be less than or equal to 7% (0.07) of the total output, we are ensuring that the sulfur content does not exceed the given limit.

In a linear programming model, we usually use variables to represent quantities. Let S represent the Sulfur Content and T represent the Total Output. The constraint can then be written as:

S ≤ 0.07 × T

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Answer:

5/6 or 0.8333333333 (83%)

Step-by-step explanation:

So she landed 15 out of 18 so we are going to divide 15 by 18 (15/18) which gets us 5/6 or 0.8333333333 or 83%

Hopes this help ^-^

Answer:

y = -6x + 42

Step-by-step explanation:

Slope (m) =(y2-y1)/(x2-x2) = -6/1 = -6

b=42

Answer:

-4

Step-by-step explanation:

When looking at the graph look at the y axis and look to see where the line passes through

Answer:

-4 is the y intercept.

Step-by-step explanation:

Brainliest? Have a great day!

The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

Given that, Angle = 60°, v = 8, 6

Consider unit vector a = (x, y)

x² + y² = 1 …. (1)

Now apply the dot product of unit vector with v

a.v = |a||v|cos Ø

a.v = √ (x² + y²) √ (8² + 6²) cos 60º

8x + 6y = 1 × 10 × ½

So we get,

8x + 6y = 5 …. (2)

y = (5 - 8x) / 6

Substituting the value of y in equation (1)

x² + y² = 1

x² + [(5 - 8x)/6]² = 1

x² + 25/36 + 16x²/9 - 20x/9 = 1

25x²/9 - 20x/9 = 11/36

So we get,

4 × (25x² - 20x) = 11

100x² - 80x = 11

100x² - 80x - 11 = 0

Now solve the quadratic equation,

x = { 2/5 ± √5/10}

Substituting the value of x in equation (2)

y = 3/10 ± 2√5/15

Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

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The system of first order differential equation are,

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

To describe the behavior of x1, x2, and x3 (where xi denotes the ounces of salt in each tank) we can use a system of first order differential equations. Let's denote the rate of change of salt in each tank as dx1/dt, dx2/dt, and dx3/dt respectively.

Then, we can write the system of differential equations as:

dx1/dt = -k1*x1 + k2*(x2-x1)
dx2/dt = k1*x1 - (k2+k3)*x2 + k4*(x3-x2)
dx3/dt = k3*x2 - k4*x3

where k1, k2, k3, and k4 are constants that represent the rates of salt transfer between the tanks.

This system of first order differential equations describes how the ounces of salt in each tank change over time.

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Answer:

14cm

Step-by-step explanation:

l is length, h is height, and w is width.

We can construct the following equations:

l = 4h

volume = lwh

Given the length is 16cm, plugging the value into the first equation gives us a height of 4cm.

Based on the second equation, if we plug in the given length and volume values as well as our height value, we get:

896 = 16*4*w

w = 14cm.

Answer: this is the answer please follow to the explanation

Step-by-step explanation:

21x + 14y = 168. X=2y

14y = -21x +168. 2y=x

14 divided by 14 on one side and

-21 + 168 divided by 14 on the other side

You should get...

Y= -3/2x +12

For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).

Well, have a good day

The required 2 x 2 matrix is [1/3 -1/6] [0 0]. To find a 2 x 2 matrix such that [3 0] [ ___ ___] = [1 0] [2 6] [ ___ ___] [0 1], we can use the matrix multiplication property of equality which states that if A = B, then A multiplied by any matrix equals B multiplied by the same matrix. Here, we want to find a matrix X such that: [3 0] [ ___ ___] = [1 0] [2 6] [ ___ ___] [0 1].

From the above equation, we have four unknowns (x, y, z, w) and four equations. We can solve these equations to get the values of x, y, z, w.3x + 2y = 1 => y = (1 - 3x)/2 substituting the value of y in second equationzy + 6w = 0 => z(1 - 3x)/2 + 6w = 0 => z = -(12/1 - 3x)wsimilarly, we can calculate other unknowns:3z + 0w = 0 => z = 0 => x = 1/3, y = -1/6 and z = 0, w = 0.The required 2 x 2 matrix is [1/3 -1/6] [0 0]

The given matrix is [3 0] [x y] [2 6] [z w]Let the matrix X = [x y] [z w]Then, using the matrix multiplication property of equality, we can write: [3 0] [x y] = [1 0] [2 6] [z w] [0 1]Multiplying the matrices, we get: 3x + 2y = 1 zy + 6w = 0 3z + 0w = 0 2z + 6w = 1From the above equation, we have four unknowns (x, y, z, w) and four equations. We can solve these equations to get the values of x, y, z, w.3x + 2y = 1 => y = (1 - 3x)/2 substituting the value of y in second equationzy + 6w = 0 => z(1 - 3x)/2 + 6w = 0 => z = -(12/1 - 3x)wsimilarly, we can calculate other unknowns:3z + 0w = 0 => z = 0 => x = 1/3, y = -1/6 and z = 0, w = 0.The required 2 x 2 matrix is [1/3 -1/6] [0 0]

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Answer:

Nobody ever said having faith would be easy, but it will be worth it and here is why.

He knows better than we do. God knows everything we are going through at this very moment and everything we will go through in the future. ...

All Things Are Possible With God.

He Is Worthy Of Our Trust.

He Knows What He Is Doing.

He is the creator of the universe

he exited before the heavens and earth

He is our father and the father of our ancestors

He has performed many miracles

He is the God who answers all prayers if you believe.

He is the one who stands by you in any situation, in good times and bad

He is a merciful, understandable and dependable God

What he says he'll do, that is what he'll do

Answer:

A

Step-by-step explanation:

Answer:

Mean 140 grams

Standard deviation 22.4 grams

Step-by-step explanation:

What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).

Mean = 5.2 ounces.

First step would be to convert from ounces to grams

1 ounce = 28 grams

5.2 ounces =

5.2 ounces × 28 grams

= 145.6 grams

He underweighs by 0.2 ounces

We convert this too

1 ounce = 28 grams

0.2 ounce =

0.2 ounce × 28 grams

= 5.6 grams.

The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.

Standard Deviation = 0.8 ounces.

Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.

Hence, the standard deviation if the apples in grams =

1 ounce = 28 grams

0.8 ounce =

0.8 ounce × 28 grams

= 22.4 grams

Answer:

151.2

Step-by-step explanation:

7x12=84

84/3=28

28x5.4=151.2

The population mean is greater than 30.To determine the sample mean that would result in a p-value of 0.05, we need to work backwards from the given significance level.

First, we need to find the test statistic. Since the alternative hypothesis is one-sided (μ>30), we will use a one-sample z-test. The test statistic is calculated as:

z = (xbar - μ) / (s / sqrt(n))

where xbar is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

Since we want the p-value to be equal to 0.05, we need to find the z-score that corresponds to a one-tailed area of 0.05. Using a standard normal distribution table or calculator, we find that this z-score is 1.645.

Substituting this value into the formula for the test statistic, we get:

1.645 = (xbar - 30) / (10 / sqrt(70))

Solving for xbar, we get:

xbar = 30 + 1.645 * (10 / sqrt(70))

xbar = 31.77

Therefore, the sample mean that would result in a p-value of 0.05 is 31.77. This means that if we were to obtain a sample mean of 31.77 or higher, we would reject the null hypothesis at a significance level of 0.05 in favor of the alternative hypothesis that the population mean is greater than 30.

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False. As the variance of the difference scores increases, the t statistic does not necessarily get closer to zero.

The t statistic is calculated by dividing the difference in means by the standard error of the difference. The standard error is influenced by both the sample size and the variance of the difference scores.

If the variance of the difference scores increases while the sample size remains the same, the standard error will also increase.

This means that the t statistic will have a larger denominator, resulting in a smaller t value. However, it does not necessarily mean that the t statistic will approach zero. Other factors, such as the magnitude of the mean difference and the significance level chosen, also play a role in determining the t statistic.

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In the equation for the two-sample t-test for independent samples, the difference between sample means is divided by b. standard error of the difference between means.

The correct answer is b. The difference between sample means is divided by the standard error of the difference between means in the equation for the two-sample t-test for independent samples. This is because the standard error of the difference between means takes into account both sample sizes and sample variances, providing a more accurate estimate of the standard deviation of the difference between the two population means.
In the equation for the two-sample t-test for independent samples, the difference between sample means is divided by b. standard error of the difference between means.

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Answer:

C

Step-by-step explanation:

5-10x+25=0

5+25=10x

30=10x

x=3

Herman Hollerith proposed the use of punched cards for counting the census.

The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.

Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.

Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.

In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.

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Answer:

Answer is C, has infinitely many solutions

Step-by-step explanation:

Money Jessica gets for her birthday = $10

Money she will get from her aunt Karin for her next birthday :-

= 20% more than the money she usually gets

= 20% more than 10

\( = 20 \times \frac{1}{10} + 10\)

\( = \frac{20}{10} + 10\)

\( = \frac{2}{1} + \frac{10}{1} \)

\( = 2 + 10\)

\( = $12\)

Therefore , Jessica will get $12 for her next birthday year .