What is 4/q as a decimal

A sequence is (recursively) defined as a1 = 0, a2 = 1, n>2, \(a_n = a_{n-1} - 3a_{n-2}\). The first seven terms are 0, 1, 1, -2, -5, 1, 16.

A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given.

a1 = 0

a2 = 1

\(a_n = a_{n-1} - 3a_{n-2}\)

a3 = a2 - 3*a1 = 1 - 0 = 1

a4 = a3 - 3*a2 = 1 - 3 = -2

a5 = a4 - 3*a3 = -2 - 3 = -5

a6 = a5 - 3*a4 = -5 + 6 = 1

a7 = a6 - 3*a5 = 1 +15 = 16

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Answer:

£280

Step-by-step explanation:

The surface area of the box is 2[(50)(50)+(50)(10)+(50)(10)]=7000\) square centimeters.

So, it costs \(7000(0.04)=280\) pounds.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.

In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.

To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.

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The cost of each message sent is 0.14.

According to the statement

we have to find that the how much money spent on the each text message.

So, For this purpose,

From given information:

here for find the cost of each message sent. We use a division rule.

So, For this purpose,

Total money spent on messages = 23.10

Total messages sent = 165

Cost of each message sent = 23.10/165

Cost of each message sent = 0.14.

So, The cost of each message sent is 0.14.

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Answer:

x > 2/3

Step-by-step explanation:

2x -x - 2 > 0  

add 2x and x (It becomes 3x)

3x -2 >0

subtract 0 from both sides

3x> 2

divide 3 on both sides

And the answer is

X> 2/3

Answer:

To calculate how many packages Marcella has wrapped, you need to first calculate how many packages each roll of wrapping paper can be used for. Since Marcella uses 1/2 of a roll of wrapping paper for every 3 packages, it follows that she can wrap 3 packages for every 1/2 roll of wrapping paper. Therefore, 2 1/2 rolls of wrapping paper can be used to wrap 15 packages.

Answer:

20 kids

Step-by-step explanation:

so that totals to 11 (parents and kids)

55/11=5

4x5=20

20 kids

Answer:

1 True

2 c>−4

3 x<  3/2

Step-by-step explanation:

Answer:

1. e ≥ -2

2. c ≤ 4

3. x < 1.5 or 1 5/10

Step-by-step explanation:

1.  -3e-10 ≤ -4  => first add 10 to both sides

     +10    +10

-3e ≤ 6 => Then divide negative three on both sides.

/-3    /-3

e ≥ -2 => Since, we divided by a negative the sign switches.

2.  8c+4 ≤ 4(c-3) => First, Distribute the 4.

8c+4 ≤ 4c -12 => Next, Subtract 4 on both sides.

8c ≤ 4c -16 => then, subtract 4c on both sides.

-4c   4c

4c ≤ 16 => Finally, you divided 4 on both sides.

/4    /4

c ≤ 4

3. 5(x-1) < 3x +10 -8x => First, you add like terms.

5(x -1) < -5x +10 => Next, you distribute the 5.

5x -5 < -5x +10 => Then, you add five in both sides.

    +5      +5

5x < -5x +15 => After that you add -5x in both sides.

+5x   +5x

10x < 15 => Finally, you divide 10 in both sides.

/10     /10

x < 1.5 or 1 5/10

The best point estimate for the population's standard deviation is 1697.

The term "standard deviation" (or σ) refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Sample standard deviation = 41.2.

So, the standard deviation

S² = (41. 2)²

S² = 1697.44

S² = 1697 ( by rounding off)

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Answer:

the slope is = -1

Step-by-step explanation:

Option D. Doing inferential statistics. Inferential statistics is the process of using sample statistics to draw conclusions about population parameters.

This involves making inferences about a population based on data collected from a sample, and using statistical methods to estimate the true values of population parameters, such as the mean or proportion.

Descriptive statistics, on the other hand, involves summarizing and describing the characteristics of a sample or population, without making any inferences about the larger population.

Calculating the confidence level and finding the significance level are important components of inferential statistics, as they help to assess the accuracy and reliability of the estimates made based on the sample data. However, these are not the primary processes involved in using sample statistics to draw conclusions about population parameters.

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The process of using sample statistics to draw conclusions about population parameters is called: group of answer choices

A. Calculating the confidence level.

B. Calculating descriptive statistics.

C. Finding the significance level.

D. Doing inferential statistics.

The equivalent expression of \(\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}\) is \(\frac {2(y - 2x)}{ 3y-5x}\)

The complete question is in the attached image

We have:

\(\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}\)

Take the LCM

\(\frac{\frac {2y - 4x}{xy}}{\frac{-5x + 3y}{xy}}\)

Divide through by xy

\(\frac {2y - 4x}{-5x + 3y}\)

Rewrite as:

\(\frac {2y - 4x}{ 3y-5x}\)

Factor out 2

\(\frac {2(y - 2x)}{ 3y-5x}\)

Hence, the equivalent expression of \(\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}\) is \(\frac {2(y - 2x)}{ 3y-5x}\)

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Answer:

In step 2

Step-by-step explanation:

you were suppose to subtract them

Answer:

1,8,-3,-15

Step-by-step explanation:

1) The total production of A and B must be at least 100 units: A + B ≥ 100.

2) Y ≥ 2/5 * Z. 3) x1 / x2 ≤ 13/23. 4) M ≥ 1/4 * (P + Q). 5) D ≤ 2C + 6.

1) The total production of A and B must be at least 100 units:

A + B ≥ 100.

2) The quantity of Y must be at least two times as large as one-fifth the quantity of Z:

Y ≥ 2/5 * Z.

3) The ratio of x1 to x2 can be no more than the ratio of 13 to 23:

x1 / x2 ≤ 13/23.

4) The quantity of M must be at least one-fourth as large as the sum of P and Q:

M ≥ 1/4 * (P + Q).

5) The production of D must be no more than 6 more than twice the production of C:

D ≤ 2C + 6.

In summary:

1) A + B ≥ 100.

2) Y ≥ 2/5 * Z.

3) x1 / x2 ≤ 13/23.

4) M ≥ 1/4 * (P + Q).

5) D ≤ 2C + 6.

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Answer:

46 1/2 *5.00

232.5 = $232.50

Step-by-step explanation:

The man's basic wage for the week is A = $ 192.50

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The man's basic wage for a 40 hour week is $160.00. This means that his hourly rate is:

$160.00 / 40 hours = $4.00 per hour

For the overtime hours, he is paid $5.00 per hour. So, for the 6 1/2 hours of overtime, he will earn:

6.5 hours x $5.00/hour = $32.50

On simplifying the equation , we get

To find his total wage for the week, we need to add his basic wage to his overtime pay:

Total wage = Basic wage + Overtime pay

Total wage = $ 160.00 + $ 32.50

Total wage = $ 192.50

Therefore, the man's wage for that week is $ 192.50

Hence , the equation is A = $ 192.50

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Annual Medical cost = 1269.86

monthly premium cost to Ronald for the Blue Shield plan = $48.48.

For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.

The annual deductible cost = $630.

Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.

He also spent $71 and $95 on two prescriptions during the year.

= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)

= (48.48 x 12) + 630 + (0.35 x 166)

= 1269.86

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To find the total amount paid for the 15-year mortgage, we will multiply the payments by the number of payments. They would have to pay 12 payments per year for 15 years.

We will do the same for the 30-year mortgage

If we subtract the two amounts, we will get

Therefore, they would be able to save $ 54 178.20 if they chose the 15-year mortgage.

The correct answer is: C. 50%. According to the findings of the Kepler spacecraft, approximately 50% of stars in the Milky Way have at least one planet of any size.

The Kepler spacecraft was a NASA mission designed to survey a specific region of our galaxy, the Milky Way, in search of exoplanets (planets outside our solar system). It used the transit method, which detects planets by measuring the slight dimming of a star's brightness when a planet passes in front of it.

Over the course of its mission, the Kepler spacecraft observed a large number of stars in the Milky Way and detected the presence of numerous exoplanets. Based on the data collected by Kepler, scientists were able to estimate the occurrence rate of planets around stars.

Studies analyzing the Kepler data have found that roughly half of the stars in the Milky Way have at least one planet. This implies that around 50% of stars in our galaxy are host to planets of various sizes, ranging from small rocky planets to gas giants.

Therefore, based on the findings of the Kepler spacecraft, the percentage of stars in the Milky Way with at least one planet of any size is approximately 50%.

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Answer:

Biotic factors of a marine ecosystem typically include algae, plankton, bacteria, seaweed, corals, fish, sharks, seals, whales, penguins and jellyfish.

Step-by-step explanation:

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The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

4$ for one hotdog

Step-by-step explanation:

60/15 =

4.

One hotdog equal 4$

brainliest?

The rate of one hot dog is $4.

We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.

By the unitary method,

Amount of rate for one hot dog = is $60/15=$4

Hence one hot dog cost $4.

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\(\sqrt[4]{567x^9 y^{11}} ~~ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad ~~ ~ 3^4\cdot 7\\ x^9=x^{4+4+1}\\ \qquad ~x^4\cdot x^4\cdot x\\ y^{11}=y^{4+4+3}\\ \qquad ~~ y^4\cdot y^4\cdot y^3 \end{cases}\implies \sqrt[4]{3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3}\)

\(\left( 3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3\right)^{\frac{1}{4}}\implies 3^{\frac{4}{4}}\cdot 7^{\frac{1}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{1}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{3}{4}}\)

\(3\cdot 7^{\frac{1}{4}}\cdot x\cdot x\cdot x^{\frac{1}{4}}\cdot y\cdot y\cdot y^{\frac{3}{4}}\implies 3x^2y^2\cdot 7^{\frac{1}{4}}x^{\frac{1}{4}} y^{\frac{3}{4}} \implies 3x^2y^2(7xy^3)^{\frac{1}{4}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2y^2\sqrt[4]{7xy^3} \end{array}}~\hfill\)

Answer:

Length = 9

Step-by-step explanation:

Answer:

left to right

Step-by-step explanation:

Answer:

the slope is 0

Step-by-step explanation:

i know this because i asked a math teacher

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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Marc's current marginal tax rate can be determined by referring to the U.S. tax rate schedule for the year 2021 based on his taxable income.

To calculate Marc's current marginal tax rate, we need to look at the U.S. tax rate schedule for the year 2021. The tax rate schedule consists of several tax brackets, each with its corresponding tax rate. As taxable income increases, individuals move into higher tax brackets and are subject to higher tax rates. Based on Marc's taxable income of $260,000, we would need to refer to the tax rate schedule to determine his marginal tax rate. As the exact tax rates within the brackets can vary, it's important to consult the specific tax rate schedule for the given year.

By locating the corresponding tax bracket for $260,000 in taxable income, we can identify the applicable tax rate. Marc's current marginal tax rate would be the tax rate associated with the bracket that includes his interest.

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Answer:

7°

Step-by-step explanation:

The three angles of a triangle should sum up to 180°

→   m∠1 + 121 + 52 = 180

→   m∠1 + 173 = 180

→   m∠1 = 180 - 173 = 7°