Question 7 6 pts a. A small class consists of 15 students. How many ways can you choose 5 students to sit on a committee where each member has the same job? b. The local pizza parlor offers 3 sizes, 2

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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Answer:

Jeremy ran about 1.2 miles and jimmy ran 2 miles so jimmy ran more miles

Explanation:

If Jeremy ran 10 laps on a 1/8 mile long track, he ran about 1.25 miles in total

(10*1/8)

If Jimmy ran 8 laps on a 1/4 mile long track, he ran 2 miles in total.

(8*1/4)

Answer:

70 miles per hour

Step-by-step explanation:

Answer:

Point M

1 divided by 3 is 0.3 (repeated)

jump 3 times from 5 and go in the middle of the 0.3 and 0.2 and it should be around the middle which is point M.

Answer:

Y= 50w+100

theres your inequality

Step-by-step explanation:

Answer:

You get 100 points for playing the game, and 50 points per each seven letter word you are able to make.

Let "seven-letter" = w

50 points per each seven letter = 50w

100 points for playing the game = + 100

50w + 100 ≥ 18000 is your inequality.

hope this helps

Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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The closest linear combination of (1, 2, -1) and (1, 0, 1) to b is:

(3/4, 0, 3/4)

To find the linear combination of (1, 2, -1) and (1, 0, 1) that is closest to b = (2, 1, 1), we can use the projection formula:

proj_u(b) = ((b . u) / (u . u)) * u

where u is one of the vectors we are using to form the linear combination, and "." denotes the dot product.

Let's start by finding the projection of b onto (1, 2, -1):

proj_(1,2,-1)(2,1,1) = ((2,1,1) . (1,2,-1)) / ((1,2,-1) . (1,2,-1)) * (1,2,-1)

= (0) / (6) * (1,2,-1)

= (0,0,0)

Since the projection of b onto (1, 2, -1) is the zero vector, we know that (1, 2, -1) is orthogonal to b. This means that the closest linear combination of (1, 2, -1) and (1, 0, 1) to b will only involve (1, 0, 1).

Let's find the projection of b onto (1, 0, 1):

proj_(1,0,1)(2,1,1) = ((2,1,1) . (1,0,1)) / ((1,0,1) . (1,0,1)) * (1,0,1)

= (3/2) / (2) * (1,0,1)

= (3/4,0,3/4)

So the closest linear combination of (1, 2, -1) and (1, 0, 1) to b is:

(3/4, 0, 3/4)

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Answer:

Anna has $1460

Betty has $1060                                                      

Step-by-step explanation:

let Anna's money be x

and Betty's money be y

If Anna gave Betty $200, then they would have the same amount of money

Anna's money will reduce by 200

x=x-200

Betty's money will increase by 200

y= y+200

if they have the same amount of money, the difference will be zero

x-200=y+200

x-200-y-200=0

x-y-400=0

x-y=400--------------1

this means that Anna has $400 more than Betty

if Betty gave Anna $220, Anna would then have twice as much as Betty.

Betty's money will reduce by 220

y=y-220

Anna's money will increase by 220

x=x+220

Anna's money will double that of Betty's

x+220=2(y-220)

x+220= 2y-440

x=2y-440-220

x=2y-660--------------------2

put x= 2y-660 in eqn 1

(2y-660)-y=400-------------------------1

2y-y=400+660

y= 1060

so Betty has $1060

put y= 1060 in eqn 1

x-y=400

x-1060=400

x=400+1060

x=1460

so Anna has $1460

Answer:

-4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

m/2

m = -8

Step 2: Evaluate

Answer: -4

Step-by-step explanation: It's important to understand that m/2 means

the same thing as m ÷ 2.

In this case, we are given that m = -8.

So we have -8 ÷ 2 which is -4.

Remember that when you divide a negative number

by a positive number then the quotient is negative.

Using algebraic concept, the expression which represents the finance charge paid by Ray over the period is ;

The finance charge is the interest paid on the amount borrowed :

Total amount borrowed = b

Monthly payment = m

Period = 2.5 years = 2.5 × 12 = 30 months

Hence, he'll have to pay back $m each month for 30 months

Total amount paid back = $30m

Finance charge = Total amount paid back - amount borrowed

Therefore, the Finance charge = 30m - b

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The given series will converge for all values of x.

To determine the convergence of the series, we need to analyze the terms and check if they approach zero as n approaches infinity. In this case, the given series is ∑[n=1 to infinity] 6*(-5)^(1/9).

Since (-5)^(1/9) is a constant value, the series can be simplified to ∑[n=1 to infinity] 6*(-5)^(1/9) = ∑[n=1 to infinity] k, where k is a constant.

For any constant value k, the series ∑[n=1 to infinity] k is an infinite geometric series. This series converges if the absolute value of the common ratio is less than 1. In our case, k is a constant value, so the common ratio is 1.

Since the absolute value of the common ratio is 1, the series ∑[n=1 to infinity] k converges for all values of x.

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Answer:

10 envelopes

Step-by-step explanation:

What we know:

- There are 3 drawings for each envelope

- There are 28 drawings in total

To find out the number of envelopes Declan would need, we divide 28 by 3 (check the picture attached).

28÷3=9 R1

28 divided by 3 gives us 9 with a remainder of 1, which means if Declan had 9 envelopes, he would be able to fit 3 drawings in each with 1 drawing left over. He would need a 10th envelope to use for the last drawing.

Therefore, Declan would need 10 envelopes to mail all the drawings to his grandma.

I hope this helps! Happy holidays :)

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

Using concepts of Errors and Measurement, we got 252cm³ will be  the maximum error in volume of sphere.

We know that volume(V) of sphere is given by  =\(\frac{4.\pi .r^{3} }{3}\),where r is the radius of the volume.

If the error in the measured value of r is denoted by then the corresponding error in the calculated value of Volume is , which can be approximated by the differentiating the volume with respect to radius.

When r = 20 and dr = 0.05, this becomes:

d(V)/dr = 4×π×r²

=>d(V)=(4×π×r²)×dr

On putting the values,

=>d(V)=4×π×(20²)×(0.05)

=>d(V)=4×3.14×400×0.05

=>d(V)=252

Hence, the maximum error is 252cm³ in calculating the volume of sphere if we use the given radius.

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The derivative of the given function are as follow,

a. s'(t) = \(e^t\)- sec²(t) + 35t⁴

b. g'(p) = 1/4√(p³) - csc(p)cot(p)

c. f'(x) = 40x⁴sec(x) + 8x⁵sec(x)tan(x)

d. s'(t) = 2t ln(t) - t / ln²(t)

a. To find the derivative of the function s(t) = \(e^t\)- tan(t) + 7t⁵, apply the rules of differentiation,

s'(t) = (\(e^t\))' - (tan(t))' + (7t⁵)'

Taking the derivatives of each term separately,

(\(e^t\))' = \(e^t\)

(tan(t))' = sec²(t)

(7t⁵)' = 35t⁴

Combining the derivatives,

s'(t) = \(e^t\)- sec²(t) + 35t⁴

b. To find the derivative of g(p) = \((p)^{(1/4)\)- csc(p),

Differentiate each term separately using the power rule and the derivative of the reciprocal trigonometric function,

g'(p) = (\((p)^{(1/4)\))' - (csc(p))'

Differentiating each term,

(\((p)^{(1/4)\))'

= (1/4)\((p)^{(1/4 -1)\)

= (1/4)\((p)^{(-3/4)\)

= 1/4√(p³)

(csc(p))'

= -csc(p)cot(p)

Combining the derivatives,

g'(p) = 1/4√(p³) - csc(p)cot(p)

So the derivative of g(p) is g'(p) = 1/4√(p³) - csc(p)cot(p).

c. To find the derivative of f(x) = 8x⁵sec(x), we can use the product rule and the chain rule,

f'(x) = (8x⁵)'sec(x) + 8x⁵(sec(x))'

Taking the derivatives of each term,

(8x⁵)' = 40x⁴

(sec(x))' = sec(x)tan(x)

Combining the derivatives,

f'(x) = 40x⁴sec(x) + 8x⁵sec(x)tan(x)

d. For the function s(t) = t² / ln(t), use the quotient rule to find its derivative,

s'(t) = (t²)'ln(t) - t²(ln(t))' / (ln(t))²

Taking the derivatives of each term,

(t²)' = 2t

(ln(t))' = 1/t

Combining the derivatives,

s'(t)

= 2t ln(t) - t²/t / (ln(t))²

= 2t ln(t) - t / ln²(t)

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The above question is incomplete, the complete question is:

Find the derivative of each function. Perform reasonable simplifications:

a. s(t) = e^t — tan t + 7t⁵

b. g(p) = (p)^1/4-csc p

c. f(x) = 8x⁵ secx

d. s(t) = t² / In t

EXPLANATION:

Given;

We are given the following polynomial equation;

Required;

We are required to solve the polynomial given that -1/2 is a root.

Step-by-step solution;

We are already told that one of the roots of the equation is -1/2, that is;

We can therefore divide the polynomial by this root to get the quotient which would be a quadratic equation. This is shown below;

Let us now go over the solution together.

Using the synthetic division method, we start by listing out the coefficients of each term in the polynomial and that is;

Next step, we take down the first coefficient, which is 2. Next we take the root (that is -1/2) and multiply this by the first coefficient.

That gives us,

We write out the result directly under the next coefficient (that is 5) and add them together. That results in (5 - 1 = 4).

Next step, we multiply 4 by the root and we have;

We write this result directly under the next coefficient (that is -13) and add them together. That gives us -15. Multiply this result by the root and we'll have;

Write this result directly under the next coefficient and add up and we'll have 2 1/2 (or 2.5).

Note that we now have the new coefficients as;

Therefore, the quotient is;

Using the quadratic equation formula, we now have the other roots solved as follows;

Where the variables are;

Inputing the variables into the quadratic formula above, will now give us;

We now have the solution as;

ANSWER:

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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Step-by-step explanation:

hope it's helpful for you

pls mark me as brainliest

try the 2nd one by yourself

Step-by-step explanation:

first of all we have to turn the "y" into a negative number so we multiply it by a negative number

11x+5y = 9..........................(1) × -3

11x+3y = 1.......................(2) × 5

and then we add the new equations

-33x - 15y = -27................(3)

55x+ 15y = 5........................(4)

eventually the y will be a "0" which has no value so it's pointless

22x = -22

x = -1

and then substitute y

11x +5y = 9

(11×-1) +5y =9

-11 +5y = 9

5y = 9 +11

5y = 20

y = 20÷5

y = 4

We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

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The number of squares will be 25 squares

From the question, the size of the squares should not be a problem hence it is not mentioned.

Continue doing this for 5 times  so that there will be 5 rows with 5 squares on each row

In this case, the number of squares will be 5+5+5+5+5= 25 squares

In conclusion, there will be 25 squares.

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The plant root is growing at a rate of 3.81 centimeters per month.

To find the number of centimeters that the plant root is growing per month, you need to convert the number of inches to centimeters. One inch is equal to 2.54 centimeters, so to convert from inches to centimeters, you need to multiply the number of inches by 2.54.

In this case, the plant root grows 1.5 inches per month. Multiplying this by 2.54 gives us 3.81 centimeters, which is the correct answer. Therefore, the plant root is growing at a rate of 3.81 centimeters per month.

The other answer choices are not correct because they do not give the correct number of centimeters that the plant root is growing per month.

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A particular plant root grows 1.5 inches per month, then 3.81 centimeters the plant root are growing per month.

In the given question, a particular plant root grows 1.5 inches per month.

We have to find how many centimeters the plant root is growing per month.

As we know that 1 inch = 2.54 centimeters

To convert 1.5 inches in centimeters we multiply 1.5 by 2.54 because in 1 inch has 2.54 centimeters. After multiply we can easily find the answer in centimeters.

So 1.5 inch = 1.5*2.54 centimeters

1.5 inch = 3.81 centimeters

Hence, a particular plant root grows 1.5 inches per month, then 3.81 centimeters the plant root are growing per month.

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Answer:

Third option

Step-by-step explanation:

Given the following question:

\(7x-4=5x+15\)

To find the answer we need to use inverse of operations to simplify the equation in till we isolate the variable and find the value of x.

\(7x-4=5x+15\)
\(-4+4=0\)
\(15+4=19\)
\(7x=5x+19\)
\(5x-5x=0\)
\(7x-5x=2x\)
\(2x=19\)
\(2x\div2=x\)
\(19\div2=\frac{19}{2}\)
\(=\frac{19}{2}\)

Your answer is the third option or "19/2."

Hope this helps.

a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

A statement of an order relationship between two numbers or algebraic expressions is known as an inequality in mathematics. It can be greater than, greater than or equal to, less than, or less than or equal to.

Using the inequality symbol, a mathematical statement known as an inequality depicts the relationship between two expressions. An inequality symbol denotes that the terms on each side are not equal.

It indicates that the expressions on the left and right should be bigger or less than one another, or vice versa. Literal inequalities are those where the relationship between two algebraic expressions is described by the inequality symbols.

According to the definition, a relationship is considered to be an inequality if it involves two real numbers or algebraic expressions and uses the symbols “>”, “<”, “≥”, “≤”.

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Answer:

The answer to your question would be 4 7/12

Step-by-step explanation:

I hope this helps and have a wonderful day!

The social media stock would earn $ more than the conglomerate corporation's stock.

When answering questions on Brainly, it is important to always be factually accurate, professional, and friendly, be concise and not provide extraneous amounts of detail, repeat the question in your answer, provide a step-by-step explanation in your answer, and use the following terms in your answer: geometric, Compare, invested.The value of a conglomerate corporation's stock was $1,145 in 2014.

If $1,000 were invested in this stock, what would its value be in 2017 if the stock had increased 3.5% annually?The solution to the given problem is as follows:Calculate the value of the stock when $1,000 was invested in 2014.Using the geometric mean formula,$\text{Geometric mean} = \sqrt[n]{a_1a_2a_3\cdots a_n}$Here, $n = 3$ since the value is given for the years 2014, 2015, and 2016. $a_1 =$ the value of the stock in 2014, $a_2 =$ the value of the stock in 2015, and $a_3 =$ the value of the stock in 2016.

We have to find $a_1$.Solve for $a_1:$\[a_1 = \frac{\text{Geometric mean}}{\sqrt[n-1]{a_2a_3\cdots a_n}} = \frac{\sqrt[3]{1145}}{\sqrt[2]{1.035^2}} \approx 1042.97\]Therefore, the value of the stock when $1,000$ was invested in 2014 was approximately $1,042.97$.

Calculate the value of the stock in 2017.Using the same formula as before, we have:\[\text{Geometric mean} = \sqrt[3]{1042.97 \cdot 1.035 \cdot 1.035} \approx 1,124.54\]Therefore, the value of the stock in 2017 would be approximately $1,124.54$ dollars.Compare the results obtained from the above two parts to the value of $1,000$ of the social media stock.

The value of $1,000$ of the social media stock after three years with a 7% annual increase is given by:\[\text{Social media stock} = 1000 \cdot (1 + 0.07)^3 \approx 1225.04\]Therefore, we can compare the results obtained from the two previous parts to see which one is greater. It is clear that the social media stock value of $1,000$ is greater than that of the conglomerate corporation's stock. Therefore, the correct answer is:The value of the $1,000 invested in the conglomerate corporation's stock in 2014 was less than that of the value of the $1,000 invested in the social media stock. The social media stock would earn $ more than the conglomerate corporation's stock.

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Answer:

300 calories a day

Step-by-step explanation:

27÷9=3

3×100= 300

The image of the triangle RST after the rotation is added as an attachment

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

The triangle RST

Where, we have

R = (-2, 1)

S = (1, 3)

T = (-1. 7)

The rule of the transformation is given as

(x, y) = (y. -x)

This means that we negate the x and y coordinates and then swap them

So, we have

R' = (1, 2)

S' = (3, -1)

T' = (7, 1)

Next, we plot the graph of the RST after the rotation

See attachment

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The constant percent rate of change in the case of a deposit of $400 into a savings account is compounded annually.  

With an example, what is compound interest?

Principal - $400

rate of interest is compounded annually

g(x) =  400( 1.03)ˣ equation 1.

Formula used

A = P( 1 + r )ⁿ

here n = x

Solution:

Putting the value of n, and principal in the formula

A = P( 1 + r )ⁿ ................... equation 2

now comparing both equation 1 and equation 2,

400( 1.05)ˣ =  400( 1 + r )ˣ

( 1.05)ˣ = ( 1 + r  )ˣ

1.05 = 1 + r

r = 1.05 - 1

r = 0.05

r % = 0.05 × 100

r % = 5 %

thus, the constant percent rate of change =  5 %

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