Sally is 21 years old and has a resting heart rate of 72 beats per minute. what is her estimated maximum heart rate (mhr)

The sum of the sequence \((-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}\) is 1

Consider given sequence \((-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}\)

here, the dots . . . means that there are 21 numbers being added, one for each integer from −10 to 10.

We need to find the sum.

We can observe that the above sequence is a geometric sequence with the common ratio r = -1 and the first term a1 = \((-1)^{-10}\) i.e., a1 = 1

We know that the formula of the sum of n-terms of a geometric sequence is:

\(S_n= a_1 \times (\frac{1-r^n}{1 -r} )\)

For n = 21, r = -1 and a1 = 1

\(S_{21}=1 \times (\frac{1-(-1)^{21}}{1-(-1)} )\\\\S_{21 }= 1\times (\frac{1-(-1)}{1 +1} )\\\\S_{21 }=\frac{1+1}{2} \\\\S_{21 }= \frac{2}{2} \\\\S_{21 }= 1\)

Therefore, \((-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}\) = 1

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Answer:

y - 1 = (-2/3)(x + 9)

Step-by-step explanation:

Here you are given a point on a line and the slope of the line.  You'll need to apply the "point-slope" formula

y - k = m(x - h) (Memorize this)

Then m = slope = -2/3, h = -9 and k = 1.

Making the appropriate substitutions, we get:

y - 1 = (-2/3)(x + 9)

The company survey 307 customers in order to get 98% confidence.

Sample proportion (p) = 0.5 (as no estimate is given)

α = 1 - 92% = 0.08.    Therefore, α/2 = 0.08/2 = 0.04

Z(α/2) = Z(0.04) = 1.751

Estimate = 5% = 0.05

Now, E = Z(α/2) * sqrt (p(1-p)/n)

n = (1.751/0.05)2 * 0.5 * (1-0.5)

n = 307

Hence, the company should survey 307 customers in order to be 98% confident that the estimated (sample) proportion is within 2 percentage points of the true population proportion of customers who are over the age of forty.

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Answer:

-1.2

Step-by-step explanation:

1.8 - 6 + 3​

= -1.2

im not sure if you ment to put parentheses if you did then the answer would be 17.

equation 8- (-6) + 3​

answer = 17

Answer:

6

Step-by-step explanation:

FP * PH = GP * EP

If  EP = 2, PG = 12, and FP = 4.

Then 4 * PH = 12 * 2

4 * PH = 12 * 2

step 1 simplify

4 * ph = 4PH

12 * 2 = 24

we now have 4PH = 24

step 2 divide each side by 4

4PH / 4 = PH

24 / 4 = 6

we're left with PH = 6

Answer:

D=5g/ml

Step-by-step explanation:

D=M/V

D=55/11

The maximum area that the 60 m can enclose is 225m², the dimensions of the maximal region are 15m x 15m, and the height as an fcn of the base is 30 - b.

Let the base of the rectangular region be "b",

and the height be "h" and,

it is given that the perimeter of the rectangular region = 60m

(a) write height as an fcn of base

by using the formula of the perimeter of a rectangle,

2(h+b) = 60m

we can write, h = 30 - b

⇒Area of the rectangular region

area(A) = height × base

substituting the value of h.

= (30 - b) × b

thus, A(b)= 30b - b²

to find the maximum area that the 60 m can enclose

\(\frac{dA(b)}{db}\) should be equal to 0.

substituting the value of A(b).

30 - 2b = 0

thus, b = 15

maximum area = 30b - b²

substituting the value of b.

= (30 × 15) - 15²

thus, maximum area = 225m².

dimensions of the maximum region,

for maximum area height = base = 15m

thus, the dimensions of the maximum rectangular region are 15m x 15m.

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The value of y is 3 if the value of x is 4 in the linear equation with two variables.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Two linear equations in two variables x and y

x + y = 7

x = 4

Plug x = 4 in the equation x + y = 7, we get:

4 + y = 7

y = 7 - 4

y = 3

Thus, the value of y is 3 if the value of x is 4 in the linear equation with two variables.

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Answer:

The value of y is 3 if the value of x is 4 in the linear equation with two variables.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Two linear equations in two variables x and y

x + y = 7

x = 4

Plug x = 4 in the equation x + y = 7, we get:

4 + y = 7

y = 7 - 4

y = 3

Step-by-step explanation:

Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

Answer:

-0.2

Step-by-step explanation:

to find n you need to get it all by itself so you subtract 16.2 from both sides so on the left side it cancels out and on the right side it equals -.02 which is then equal to n which is your answer

Answer:

\(1360 \: {cm}^{3} \)

Step-by-step explanation:

Paper bag volume:

\((16 \times 5 \times 20) \: = 1600 \: {cm}^{3} \)

Box volume:

\((8 \times 3 \times 10) = 240 \: {cm}^{3} \)

Left space:

\((1600 - 240) = 1360 \: {cm}^{3} \)

Answer:

THE ANSWER IS DOWN BELOW :)

Step-by-step explanation:

Answer:

1 Gallon of milk = $5

Step-by-step explanation:

1/2 a gallon + 1/2 a gallon = 1 gallon

2.50 + 2.50 =$5

I hope i helped you :)

Answer:

20

Step-by-step explanation:

If they were whole itd be ten but there halves so 20

The expected number of customers in the system is 0.96.

Given that the arrivals to the drive-up teller window occur at a rate of 0.4 customers per minute, and the service times are exponentially distributed, we can use queuing theory to determine the operating characteristics of the system.

What is the expected number of customers waiting in line?

We can use the queuing formula Lq = (λ^2) / (μ(μ-λ)), where λ is the arrival rate and μ is the service rate. Here, λ = 0.4 and μ is the reciprocal of the average service time, which we need to calculate.

Assuming the bank tellers can serve customers in an average of 2 minutes, then μ = 1/2 = 0.5.

Plugging these values into the formula, we get:

Lq = (0.4^2) / (0.5(0.5-0.4)) = 0.16 customers

Therefore, the expected number of customers waiting in line is 0.16.

What is the expected time a customer spends in the system?

We can use the queuing formula W = (1/μ) + (Lq/λ), where μ is the service rate and λ is the arrival rate, and Lq is the expected number of customers waiting in line.

Using the same values of λ and μ as before, we can calculate Lq as 0.16 customers. Plugging these values into the formula, we get:

W = (1/0.5) + (0.16/0.4) = 2.4 minutes

Therefore, the expected time a customer spends in the system is 2.4 minutes.

What is the expected number of customers in the system (i.e., both waiting and being served)?

We can use the queuing formula L = λW, where λ is the arrival rate and W is the expected time a customer spends in the system.

Plugging in the values of λ and W that we calculated earlier, we get:

L = 0.4 x 2.4 = 0.96 customers

Therefore, the expected number of customers in the system is 0.96.

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The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.

When we add two rational numbers together, we can use the following formula:

a/b + c/d = (ad + bc) / bd

where a, b, c, and d are integers and b and d are not equal to zero.

This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.

For example, if we want to add 1/2 and 2/3 together, we can use the formula above:

1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6

Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.

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A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).

If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.

The time at which the system fails, denoted by X, is the minimum of the lifetimes of the five components.

In this system, each component has a lifetime that follows an exponential distribution with a parameter λ = 0.01. The exponential distribution is commonly used to model the time until an event occurs in a system with a constant failure rate.

The probability that a component lasts at least t hours is given by P(Ai) = e^(-λt), where Ai is the event that the ith component lasts at least t hours.

Since the components fail independently of one another, the probability that all five components last at least t hours is the product of their individual probabilities: P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-λt)^5 = e^(-5λt).

Now, let X be the time at which the system fails, which is the minimum of the lifetimes of the five components. Since X is the minimum, we can write X = min(T1, T2, T3, T4, T5), where Ti represents the lifetime of the ith component.

The probability distribution of X can be obtained by considering the complement event. The complement of X > t is that all five components last at least t hours, which is P(X > t) = P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-5λt).

Therefore, the time at which the system fails, X, follows an exponential distribution with a parameter of 5λ = 0.05. This means that the system has a constant failure rate of 0.05 and the probability density function (pdf) of X is given by f(x) = 0.05 * e^(-0.05x).

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The expressions are simplified to;

1. x = 118

4. 88

5. 123

Percentage can simply be defined as the fraction between a given value and hundred.

It is represented with the symbol, '%'

Also note that algebraic expressions are expressions with factors, variables, constants, terms and coefficients.

From the information given, we have that;

1. x increased by 25%

x + 25%, then decreased by 15%

x + 2. 5 - 1.5 = 119

collect the like terms

x = 118

4. x + 25% + 15% = 92

x + 2.5 + 1.5 = 92

collect like terms

x = 88

5. x - 35% - 20% = 117

x - 3.5 - 2.5 = 117

collect the like terms

x = 117 + 6

x = 123

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AH is the diagonal of the cube through the interior.

Option A is the correct answer.

We have,

A diagonal through the interior of a cube refers to a straight line that passes through the interior of the cube and connects two opposite corners of the cube.

It does not lie on any of the faces of the cube but passes through the center of the cube.

From the cube,

The diagonal through the interior of the cube is:

AH, CF, BG, and DE.

Thus,

AH is the diagonal of the cube through the interior.

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The soccer team and the football team will have to share the field again after 30 days.

To find the number of days until the soccer team and the football team have to share the field again, we need to find the least common multiple (LCM) of 3 and 10.

The LCM is the smallest number that is divisible by both 3 and 10. In this case, the LCM of 3 and 10 is 30.

Therefore, after 30 days, the soccer team and the football team will have their practice sessions on the same day and will need to share the field again.

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Potted plants ordered last year = 6,57,230 (Indian Place Value System)

Pecentage of plants deducted = 10%

10% of 6,57,230 = 10/100 × 6,57,230

or, it can also be written as -

10/10 × 65,723

or,

65,723

Therefore, potted plants odered this year is 65,723

By the way, I'm an Indian : )

Answer:

ST = 4

Step-by-step explanation:

SR + RT = ST

   3 + 1  =ST

       4 = ST

ST = 4

Answer:

1/3 if it's a standard die with the highest number being 6.

Step-by-step explanation:

Answer:

17. Vertex R

18. line FG

19. line RS

20. no they aren't collinear but they are coplanar

21. yes they are collinear but they aren't coplanar

22. plane HEF, plane RPE and plane EPQ

Answer:

There are no possible real values for x.

Step-by-step explanation:

The equation states:

4-x²>10

-x²>10-4 (Move 4 to the other side)

-x²>6 (Multiplying by -1 changes the sign)

x²<-6

In the case that we aren't working with imaginary numbers, no number squared would give -6, or anything below -6.

Hope this helps, and let me know if imaginary numbers are necessary for this question ♡

Answer:

The width is 2x+1

Step-by-step explanation:

10x^2 +5x

Divide this by 5x

10x^2 /5x = 2x

+

5x/5x =1

Add this together

2x+1

The width is 2x+1

Answer:

( 2x + 1 )

Step-by-step explanation:

10x^2 + 5x

it could also be;

5x (2x + 1)

so, the width is( 2x +1)

Answer:

super  shopper

Step-by-step explanation:

o.85/2=0.425

0.425*3=1.275

Answer:

Step-by-step explanation:

6 min/4 hole = 1.5 min per hole

9/1.5 = 6 holes

It can be concluded that 6 holes were made.

Hope this helped,

Kavitha

Answer:

6 holes

Step-by-step explanation:

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

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