Which of the following is a false statement?
A
Banks are insured by the government.

B
Money can be stolen or lost if you keep it at home.

C
If your bank goes out of business, you lose your money.

D
Your money can grow if you keep it in a bank account.

If  these data are used for a chi-square test for independence, the expected frequency for registered females is 28

In this question we hvw been given a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote.

From given information we have,

                    registered       non-registered      total

male                   40                      20                  60

female                30                      10                  40

total                     70                      30                100

We need to find the expected frequency for registered females.

We know that the formula for the expected frequency:

expected frequency = (Row Total * Column Total)/N

Here, Row Total = 40

Column Total = 70

and N = 100

The expected frequency for registered females would be:

E = (40 * 70)/100

E = 2800/100

E = 28

Therefore, the expected frequency for registered females is 28

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Answer: 66

Step-by-step explanation:

0 - 12 = -12

54--12 = 66

66 is the difference

Sarah should carefully analyze her expenses, potential earnings, job security, and personal goals before making a decision.

Based on the startup problem, Sarah is considering two job offers. Job A offers a fixed monthly salary of $2,500, while Job B offers a base salary of $1,800 plus a 6% commission on her total sales. To meet her expenses, Sarah feels that she must have a monthly gross pay of at least $3,750.

Given this situation, here is some advice for Sarah:

1. Evaluate Expenses: Sarah should thoroughly evaluate her monthly expenses to understand where her money goes. It's essential to know her fixed expenses (rent, utilities, insurance) as well as variable expenses (groceries, entertainment) to have a clear picture of her financial needs.

2. Consider Job B with Commissions: If Sarah has a strong sales background or believes she can generate significant sales, she should consider Job B with the base salary of $1,800 and a commission of 6% on her total sales. If she can achieve high sales numbers, she might exceed the $3,750 monthly gross pay requirement.

3. Calculate Potential Earnings: Sarah should calculate her potential earnings for Job B based on her sales projections. By estimating the amount of sales she can generate and applying the 6% commission, she can see if she meets or exceeds the minimum gross pay of $3,750.

4. Job Security and Stability: Job A offers a fixed monthly salary of $2,500, which provides a sense of stability and predictability. If Sarah values job security and is uncertain about her sales performance, Job A might be a safer choice.

5. Negotiate: If Sarah is keen on Job B but feels the base salary is too low, she can try negotiating with the employer for a higher base salary or a better commission rate. Negotiation can help align the compensation with her financial needs.

6. Personal Goals: Besides financial considerations, Sarah should also think about her long-term career goals, job satisfaction, and work-life balance when making her decision. A job that aligns with her passion and career goals might be more fulfilling in the long run.

7. Emergency Savings: It's crucial for Sarah to have emergency savings to cover unexpected expenses. If possible, she should aim to dividing an emergency fund equivalent to several months' worth of expenses to provide a financial safety net.

In summary, Sarah should carefully analyze her expenses, potential earnings, job security, and personal goals before making a decision. It's essential to find a balance between financial stability and job satisfaction to ensure long-term success and well-being.

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Answer:

3

Step-by-step explanation:

h(2) we find by looking at what y equals when x is 2

when x is 2 y or h(2) is about 3

hopes this helps please mark brainliest

Answer:

30j - 24

Step-by-step explanation:

–6(4 − 5j)

= -24 + 30j

So, the answer is -24 + 30j

PLEASE GIVE ME BRAINLIEST! :)

Answer:

-24 + 30j

Step-by-step explanation:

To simplify the expression, we need to distribute the -6 across the terms inside the parentheses:

-6(4 - 5j) = (-6 x 4) - (-6 x 5j)

Simplifying this expression, we get:

-6(4 - 5j) = -24 + 30j

Therefore, the simplified expression is -24 + 30j.

The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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After the hole is cut, 248  square feet of blue feet of blue surface remain.

What is the surface area of the given cube?

The formula for surface area is equal to six times of square of the length of the sides of the cube. It is represented by 6a², where a is the side length of the cube. It is basically the total surface area.

We have given,

the cube of side length 6 ft,

the shape of a 2-by-4-by-6-foot rectangular prism is cut out of the cube,

to find: After the hole is cut, how many square feet of blue feet of blue surface remain?

area of an original cube is:

= 8 * 6 * 6

= 288 ft²

the area of the cube, after the hole, is cut.

remaining area = original cube area - 2 * 4 *4

= 288 -  32 ft²

= 248 ft²

Hence, After the hole is cut, 248  square feet of blue feet of blue surface remain.

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The test statistic of 14.45 was found to be greater than the critical value. Therefore, the null hypothesis was rejected.

The college student conducted a study to investigate the claim that students who graduate with a master's degree earn higher salaries, on average, than those who only have a bachelor's degree. They collected data from recent graduates, with 34 individuals holding master's degrees and 42 individuals holding bachelor's degrees.

The mean salary for the master's degree group was $43,000 with a standard deviation of $3,200, while the mean salary for the bachelor's degree group was $32,700 with a standard deviation of $2,300. They conducted a hypothesis test at a significance level of 0.02 to determine if there is enough evidence to support the claim.

To test the claim, the student set up the following hypotheses:

Null Hypothesis (H0): The average salary of recent graduates with a master's degree is the same as the average salary of recent graduates with a bachelor's degree.

Alternative Hypothesis (Ha): The average salary of recent graduates with a master's degree is higher than the average salary of recent graduates with a bachelor's degree.

They used a two-sample t-test to compare the means of the two groups. The test statistic was calculated using the formula:

t = (mean1 - mean2) / \(\sqrt{((s1^2 / n1) + (s2^2 / n2))}\)

where mean1 and mean2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

By plugging in the given values, the test statistic was computed to be 14.45. This value was then compared to the critical value obtained from the t-distribution with degrees of freedom calculated using the formula:

df =\((s1^2 / n1 + s2^2 / n2)^2\) / (\((s1^2 / n1)^2\)/ (n1 - 1) + \((s2^2 / n2)^2\) / (n2 - 1))

If the test statistic is greater than the critical value, the null hypothesis is rejected in favor of the alternative hypothesis.

In this case, the test statistic of 14.45 was found to be greater than the critical value. Therefore, the null hypothesis was rejected, and it was concluded that there is sufficient evidence at the 0.02 level of significance to support the claim that graduates with a master's degree earn higher salaries, on average, than those with a bachelor's degree.

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The height of the building is approximately 167 feet.

The angle of elevation from the tip of a building's shadow to the top of the building is 70° and the distance is 180 feet. We need to find the height of the building to the nearest foot. The height of the building can be determined using the right triangle trigonometry, with the shadow length being the base of the right triangle, the height of the building being the perpendicular to the base, and the distance from the tip of the shadow to the top of the building being the hypotenuse.

Let's start with the given angle of elevation which is 70°.sin 70° = opposite/ hypotenuse cos 70° = adjacent/hypotenuse

Let x be the height of the building. sin 70° = x/180 feetcos 70° = (180 ft + x)/180 feet

Therefore, x = sin 70° × 180 feet ≈ 167 feet (rounded to the nearest foot)

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The absolute value of the percent change in the volume of the cylinder is 20%.


When the radius of a right circular cylinder is decreased by 20%, its new radius becomes 0.8 times the original radius (1 - 0.20 = 0.8).

Likewise, when its height is increased by 25%, its new height becomes 1.25 times the original height (1 + 0.25 = 1.25).

The volume of a right circular cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Let V₁ be the original volume, and V₂ be the new volume after the changes.

V₁ = π(r)²(h) and V₂ = π(0.8r)²(1.25h)

V₂ = π(0.64r²)(1.25h) = 0.8πr²h

Thus, the new volume is 0.8 times the original volume. This represents a 20% decrease in volume (1 - 0.8 = 0.20 or 20%). So, the absolute value of the percent change in the volume of the cylinder is 20%.

In summary, decreasing the radius by 20% and increasing the height by 25% results in a 20% decrease in the volume of the right circular cylinder.

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The interest payment in the monthly payment of $297.02 for a financing of $12,000 at 7% over 5 years is $70. Option b is correct.

The interest payment of the given financing can be calculated by the given parameters as follows:

We are given that the amount financed is $12,000 for a period of 5 years and an annual interest rate of 7%.The monthly payment is given to be $297.02.

Compute the total interest on the loan over the 5-year period using the below formula:

Total Interest = (Amount Financed) x (Annual Interest Rate) x (Number of Years)

Total Interest = $12,000 x 7% x 5 years

Total Interest = $4,200

Compute the total number of monthly payments:

Total number of payments = Number of years x 12

Total number of payments = 5 x 12

Total number of payments = 60

Finally, calculate the interest payment component of the monthly payment using the below formula:

Interest payment = Total interest / Total number of payments

Interest payment = $4,200 / 60

Interest payment = $70

Therefore, the interest payment is $70. Option b is correct.

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Answer:

x = 960

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so

x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )

x = \(\sqrt{921600}\) = 960

As a result of answering the given question, we may state that As a result, a double reflection across the x- and y-axes will preserve the trapezoid's congruency.

A trapezium is a two-dimensional geometric object having four sides, one pair parallel and the other pair non-parallel. In some places, it is also known as a trapezoid. The parallel sides are referred to as bases, whereas the non-parallel sides are referred to as legs. The height or altitude of the trapezoid is the distance between the two bases. A trapezoid's area may be computed as A = 0.5 * (b1 + b2) * h, where b1 and b2 are the lengths of the two bases and h is the height.

The transformation sequence that may have been utilized to change trapezoid ABCD into trapezoid A′′B′′C′′D′′ is:

ABCD was mirrored across the y-axis and then across the x-axis.

This transformation sequence is also known as a "double reflection." Reflecting a figure across the y-axis and then across the x-axis is the same as reflecting the figure across the coordinate plane's origin (0, 0). We know that the corresponding sides and angles are equal in measure since the trapezoid is congruent to its image, and the transformation must preserve these features. As a result, a double reflection across the x- and y-axes will preserve the trapezoid's congruency.

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An inequality is a mathematical expression that shows the relationship between two values, usually with the symbols "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

Expanding the left side of the inequality, we get:

-6x + 30 ≤ -6

Subtracting 30 from both sides, we get:

-6x ≤ -36

Dividing both sides by -6 (and flipping the inequality since we are dividing by a negative number), we get:

x ≥ 6

To check our solution, we can plug in a value of x greater than or equal to 6, such as x = 6. When we do this, we get:

-3(2(6) - 10) = -3(-4) = 12

Since 12 is indeed less than or equal to -6, our solution set of x ≥ 6 is correct.

To graph the solution, we can draw a number line and shade in the values of x that satisfy the inequality, which is all values greater than or equal to 6:

  <-------------------|------------------->

                        6

The shaded region is to the right of 6, including 6 itself.

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Answer:

x=7

Step-by-step explanation:

x= (584-500) ÷ 12

x= \(\frac{584- 500}{12} \\\) ( x=\(\frac{84}{12}\))

x=7

C:

enjoy your holidays!

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer:

it is D

Step-by-step explanation:

By applying the maximum modulus principle, we found that the maximum value of 2i(z²) + 3 on the set of complex numbers whose modulus is less than or equal to 1 is √13.

Let's start by expressing the given function in terms of z. We have:

f(z) = 2i(z²) + 3

Now, let's consider the modulus of f(z):

|f(z)| = |2i(z²) + 3|

According to the maximum modulus principle, the maximum value of |f(z)| occurs on the boundary of the given domain, which is the circle of radius 1 centered at the origin in the complex plane.

In order to find the maximum value, we need to evaluate |f(z)| on the boundary of the circle |z| = 1.

Let's substitute z = 1 into f(z):

f(1) = 2i(1²) + 3

= 2i + 3

Taking the modulus of f(1):

|f(1)| = |2i + 3|

To find the maximum value, we need to determine the magnitude of the complex number 2i + 3. The modulus (or magnitude) of a complex number a + bi, denoted as |a + bi|, is given by:

|a + bi| = √(a² + b²)

For the complex number 2i + 3, we have:

|2i + 3| = √(2² + 3²)

= √(4 + 9)

= √13

Therefore, the maximum value of |f(z)| occurs at |z| = 1 and is equal to √13.

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The system of inequalities represents this situation is:

c + f ≤ 200

5c + 6f ≥ 500

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Let c represent candles arrangements

Let f represent flower arrangements.

The girls estimate that at most they will sell 200 items.

The equation will be:

c + f ≤ 200

They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.

$5 × c + $6 × f ≥ $500

5c + 6f ≥ 500

Therefore, the system of inequalities is given as:

c + f ≤ 200

5c + 6f ≥ 500

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Answer:

2.10?????????????

Answer:

c= 6103515625w/2187x

w= x in (c)/ in (3) + In (6561/ 6103515625)/ in (3)

no clue but I tryed

False. The statement is incorrect. Unlike the z distribution, the t-distribution is not symmetric around 0, and its tails do not approach the horizontal axis and cross it.

The t-distribution is similar to the normal (z) distribution in the sense that it is bell-shaped. However, there are important differences. The t-distribution is not symmetric around 0 but is centered at 0. It has a shape that depends on its degrees of freedom (df). As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution (z-distribution).

The tails of the t-distribution are thicker than the tails of the z-distribution. The t-distribution has more probability in the tails, which means it has more extreme values compared to the z-distribution. As the degrees of freedom increase, the t-distribution approaches the normal distribution, and its tails become closer to the horizontal axis, but they do not cross it.

It's important to note that the shape and characteristics of the t-distribution are determined by the degrees of freedom. As the degrees of freedom increase, the t-distribution becomes more similar to the z-distribution. However, even with large degrees of freedom, the t-distribution will always have slightly thicker tails than the z-distribution.

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The expression 2/3x + 8 can be rewritten as the product of two factors with a coefficient of 1 as:

(x + 12)

To rewrite the expression 2/3x + 8 as a product of two factors with a coefficient of 1, we can factor out the coefficient of x, which is 2/3.

The expression can be written as:

(2/3)x + 8

To factor out the coefficient of x, we divide both terms by 2/3:

[(2/3)x / (2/3)] + (8 / (2/3))

Simplifying further, we get:

x + (8 * 3/2)

Multiplying 8 and 3/2:

x + 24/2

Reducing 24/2 to 12:

x + 12

Therefore, the expression 2/3x + 8 can be rewritten as the product of two factors with a coefficient of 1 as:

(x + 12)

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Answer:

3(3 - 4x + 2y).

Step-by-step explanation:

Notice that 3 is a factor of 9, -12 and 6.  

There's no other "common factor."

Therefore, the GCF is 3 and in factored form the given polynomial is

3(3 - 4x + 2y).

Answer: \(3\left(3-4x+2y\right)\)

Step-by-step explanation:

\(3\cdot \:3+4\cdot \:3x+2\cdot \:3y\)

\(3\left(3-4x+2y\right)\)

Answer:

2 drinks each

Step by step here:

35 x 8 (35 because its the # of cases, and 8 because its the # of drinks)

35 x 8 = 280

280 / 140 (140 = # of students)

280 / 140 = 2

so 2 would be your final answer

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

The sum of the infinite geometric sequences is 15.75.

A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number, called the common ratio. In this case, the common ratio of the given geometric sequence is 0.1.

To find the sum of an infinite geometric sequence, we can use the formula:

Sum = \(\frac{a}{1-r}\)

Where a is the first term of the sequence and r is the common ratio.

Substituting the values into the formula, we get:

Sum =\($\frac{15}{1-0.1}=\frac{15}{0.9}=15\times \frac{1}{0.9}=15\times 1.11111111...=15.75$\)

Therefore, the sum of the infinite geometric sequence is 15.75.

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