1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
Sum = 73

Answer:

9 messages

Step-by-step explanation:

I think shamillia send 9 messages to her mother.

The average number of customers waiting in the queue is 20

In this question, we have been given that the customers arrive at the rate of two per minute.

On average a customer waits 10 minutes in a queue.

We need to find the number of customers waiting in the queue on average.

Assume that the average number of customers waiting in the queue is N.

We have the average Rate of Arrival = 2 customers per minute

So, by the formula for average waiting time under the Single-Server Queue Model,

10 = N/2

N = 10 * 2

N = 20

The average number of customers waiting according to the single-server queue model given the above conditions is 20

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The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,

Collecting data and analyzing results.
Random assignment:

To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:

In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.

This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:

The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.

After the two-week period, the researcher should collect the test scores of both groups and compare their performance.

This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.

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I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer:

B.

at most 199 miles

Step-by-step explanation:

To find how many miles Emily drove, we need to use the equation

Total cost = flat fee + miles driven * cost per mile

Substituting in the numbers

121 ≥ 21.50 + m * .5

121≥ 21.50 +.50m

Subtract 21.50 from each side.

99.50 ≥ .5m

Divide each side by .5

199 ≥m

Emily drove less than or equal to 199 miles

Answer:

13

an example:In words: 103 could be called "10 to the third power", "10 to the power 3" or simply "10 cubed"

Trust me its 13

10 + 3³/⁹ answer is  11.4422495703074083.

An algebraic expression is a combination of variables, constants, and mathematical operations. It represents a mathematical relationship between quantities and can be used to model real-world situations or solve problems.

Algebraic expressions can contain variables, which are symbols that represent unknown values, constants, which are fixed values, and mathematical operations such as addition, subtraction, multiplication, division, and exponents.

We can simplify the expression step by step as follows:

10 + 3³/⁹ = 10 + 3^(1/3) (since 3^(3/9) = (3^3)^(1/9) = 27^(1/9) = (3^3)^(1/3) = 3^(3/3) = 3^1 = 3)

= 10 + 1.4422495703074083 (using a calculator to evaluate 3^(1/3) to about 15 decimal places)

= 11.4422495703074083

Therefore, 10 + 3^(3/9) = 11.4422495703074083.

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Answer:

12 \(units^{2}\)

Step-by-step explanation:

All you have to do is do each shape then add them all up

small triangle:

a = b * h/2

a = 2 * 2/2

a = 4/2

a = 2

The area for the small triangle is 2

Sqaure:

a = b*h

a = 2*2

a = 4

The area for the sqaure is 4

Large triangle:

a = b*h/2

a = 6*2/2

a = 12/2

a = 6

The area for the larger square is 6

Now we add up all of the areas

2 + 4 + 6 = 12

The area for that shape is 12 \(units^{2}\)

Hint: We divide by 2 for the triangles bc it's half a shape not a full rectangle of square...

Hope this helped!

Answer:

16 pounds and 8 ounces

Step-by-step explanation:

7 + 8 = 15 pounds

10 + 12 = 24 ounces

There are 16 ounces in a pound, so convert 16 of those ounces to one additional pound.

16 pounds and 8 ounces.

Answer:

I am not sure but i think it is D

Answer:

B

Step-by-step explanation:

Because angle F is equal angle G, 2x+4=3x. Solving for x, we get 4.

\(\huge\boxed{Hi!}\)

We are given 2 points that the line passes through, so we can determine its slope by using this formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

However, there's a shortcut.

If you look at the two points, you will see that the x-coordinates of these 2 points are the same.

Let's plug in the numbers and see what we get:

\(\displaystyle\frac{9-5}{12-12}\)

Subtract:

\(\displaystyle\frac{4}{0}\)

Do you see what I see?

Remember, we cannot divide by zero, because division by 0 is

undefined.

Thus, the slope of the line is also undefined.

Now, is Phoebe right? Yes, sure!

The slope of the given line is undefined.

Here's something you should remember:

\(\bigstar\) If we are given 2 points, and their x-coordinates are the same, then the slope of the line is undefined.

\(\bigstar\) If we are given 2 points, and their y-coordinates are the same, then the slope of the line is 0.

Hope it helps! Enjoy your day!

~Just a determined gal

*The crown would be greatly appreciated ;)

\(\bf{erutaNtneliS\)

Just replace the variable "x" with "7":

So we have 4(7) - 8 or 28 - 8 which is 20.

So g(x) = 20.

Answer:

g(7) = 20

Step-by-step explanation:

To evaluate g(7), substitute x = 7 into g(x), that is

g(7) = 4(7) - 8 = 28 - 8 = 20

Answer:

Step-by-step explanation:

Example it’s called the sum

In this case, the fundamental period N₀ is equal to N divided by gcd(m, N). In summary, the fundamental period N₀ of the given signal x[n] = e^(j*m*(2π/N)*n) is given by: N₀ = gcd(m, N) if gcd(m, N) is greater than 1 N₀ = N if gcd(m, N) equals 1

The given periodic discrete-time exponential signal is represented as x[n] = e^(j*m*(2π/N)*n). To find the fundamental period of this signal, we need to find the smallest positive integer value of N₀ for which x[n] repeats itself. In other words, we need to find the smallest value of N₀ such that x [n+N₀] = x[n] for all values of n.

Let's substitute n + N₀ into the expression for x[n]: x[n + N₀] = e^(j*m*(2π/N)*(n + N₀))

Next, let's simplify the expression: x[n + N₀] = e^(j*m*(2π/N)*n) * e^(j*m*(2π/N)*N₀)

Since e^(j*m*(2π/N)*N₀) is a complex number with magnitude 1, it does not affect the periodicity of x[n].

Therefore, we can simplify the expression further: x[n + N₀] = x[n]

Now, let's equate the two expressions:

e^(j*m*(2π/N)*n) * e^(j*m*(2π/N)*N₀) = e^(j*m*(2π/N)*n)

To simplify further, we can divide both sides by e^(j*m*(2π/N)*n): e^(j*m*(2π/N)*N₀) = 1 Since e^(j*θ) = 1 for any integer value of θ, we can write: m*(2π/N)*N₀ = 2π*k, where k is an integer

Simplifying further: m*N₀ = N*k From this equation, we can conclude that N divides both m*N₀ and N.

Therefore, the fundamental period N₀ must be a divisor of N.

Now, let's consider the greatest common divisor of m and N, gcd(m, N).

If gcd(m, N) = 1, then m and N have no factors in common. In this case, the fundamental period N₀ is equal to N.

However, if gcd(m, N) is greater than 1, then m and N have factors in common.

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Answer:

A F B J C

Step-by-step explanation:

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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Answer:

8.3%

Step-by-step explanation:

10 Liters is 10,000ml

(830/10,000)*100=8.3

Answer:

50

Step-by-step explanation:

Answer:

The answer is 500/10= 50

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:

9x+8=27

9x=27_8

9x=19

9 9

x=2.111111111111

Answer:

2.111

Step-by-step explanation:

27-8=19

9x÷19

x=2.1111

Answer:

3

Step-by-step explanation:

Experimental probability is based on the actual outcomes of an experiment (gathered by experimenting repeatedly).  

Theoretical probability is based on the possible outcomes (expected outcomes).

Probability formula

\(\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}\)

Theoretical probability of flipping a head

A coin has two sides: one side is a "head", the other side is a "tail".

The number of ways flipping a head can occur is 1.

The total number of possible outcomes is 2.

Therefore, the theoretical probability of flipping a head is 1/2.

Theoretical probability of rolling a number less than 3

The cube has six sides labelled 1, 2, 3, 4, 5 and 6.

The number of ways that rolling less than 3 can occur is 2 (rolling 1 or 2).

The total number of possible outcomes is 6.

Therefore, the theoretical probability of rolling a number less than 3 is 2/6 = 1/3.

Therefore, the theoretical probability of flipping a head and rolling a number less than 3 is:

\(\sf P(head)\; and\; P(X < 3)=\dfrac{1}{2} \times \dfrac{1}{3}=\dfrac{1}{6}\)

To calculate the number of actual outcomes and expected outcomes after 90 trials, multiply the number of trials by the probability for each outcome:

\(\textsf{Number of actual outcomes}=90 \times \dfrac{2}{15}=12\)

\(\textsf{Number of expected outcomes}=90 \times \dfrac{1}{6}=15\)

Therefore, the difference between the number of expected outcomes and the number of actual outcomes is:

\(\implies 15-12=3\)

Note: If Olivia continued to flip the coin and roll the number cube, as the number of trials increased, we would expect the experimental probability of 2/15 to get nearer to the theoretical probability of 1/6 and so the difference between the number of actual and expected outcomes would become smaller.

Answer:

Step-by-step explanation:

The solution of the system with two lines is the x-coordinate of their intersection point.

a. there is only a solution if the lines are identical

b. both the x–coordinate and the y–coordinate of the intersection point,

c. the y–coordinate of the intersection point

d. the x–coordinate of the intersection point

From the proof of modular congruence below, it has been shown that;

41 ≡ 21 (mod 3).

We want to use the definition of modular congruence to prove that;

41 is congruent to 21 (mod 3) i.e if a ≡ b (mod m) then b ≡ a (mod m).

We are trying to prove that modular congruence mod 3 is a symmetric relation on the integers.

First, if we recall the definition of modular congruence:

For integers a, b and positive integer m,  

a ≡ b (mod m) if and only if m|a–b

Suppose 41 ≡ 21 (mod 3).

Then, by definition, 3|41–21, so there is an integer k such that 41 – 21 = 3k.

Thus;

–(41 – 21) = –3k

So

21 – 41 = 3(–k)

This shows that 3|21 – 41.

Thus;

21 ≡ 41 (mod 3) and the proof is complete

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Answer:

x is all reall numbers

(∞,-∞)

Step-by-step explanation:

Multiply both sides of the equation by \(50 X 7x^{x}\) so it will be

\(7x^{x+2} +7x^{x} =(50X7x^{x} )X1\)

then when we solve for x it will be 0=0 / Since  0 = 0 , the equation will always be true for any value of  x  is All real numbers

Step-by-step explanation:

it may help you to understand.

The composite function (goh)(x) is expressed as 9x + 1

Given the following functions:

We are to find the composite function (goh)(x)

(goh)(x) = g(h(x)) = g(3x - 1)

g(3x - 1) = 3(3x-1) + 4

Expand

g(3x - 1) =  9x - 3 + 4

g(3x - 1) = 9x + 1

Hence the composite function (goh)(x) is expressed as 9x + 1

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The nearest whole number, we can predict that Esther will complete an average of 4 sweaters in 3 months.

Assuming there are 30 days in each month, Esther will knit for a total of 90 days (3 months x 30 days/month). Her daily average to knit a sweater is a 4% probability of completion, which means that there is a 4% chance that she will complete a sweater each day. To calculate the predicted number of sweaters that she can make, we need to multiply her daily completion probability by the number of days she will knit.

4% probability of completion is the same as 0.04.

So, the predicted number of sweaters that Esther can make in 3 months is:

0.04 (probability of completion per day) x 90 (number of days she will knit) = 3.6

Rounding to the nearest whole number, we can predict that Esther will complete an average of 4 sweaters in 3 months.

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Answer:

6)7x + 60

Step-by-step explanation:

6 x 7 = 42

Therefore 6(7x = 6 times 7x

Hope this helps

have a wonderful day

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

The volume of a rectangular box is 109.86 cubic centimeters. The prism's breadth is 13.2 cm. The prism stands 4.1 cm tall.

The length of the rectangular prism is given as,

109.86 = L x 13.2 x 4.1

109.86 = 54.12L

L = 109.86 / 54.12

L = 2.03 cm

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

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Solution is y(t) = ((c1e2t − c2e2t) (1 0) + (c1e8t + c2e8t) (0 1))

The differential equations of the given system are: y1′=5y1+3y2y2′=3y1+5y2 The solutions to these equations are:y1(t)=c1e2t+c2e8t y2(t)=−c1e2t+c2e8tNow,

let's rewrite the solution in the vector form y(t) = c1y1 vector(t) + c2y2 vector(t).The vector form of y1(t) and y2(t) is as follows: y1 vector(t) = (1 0) (c1e2t) + (0 1) (c2e8t)y2 vector(t) = (-1 0) (c1e2t) + (0 1) (c2e8t)

Therefore, the solution in the vector form y(t) = c1y1 vector(t) + c2y2 vector(t) is as follows: y(t) = c1((1 0) (c1e2t) + (0 1) (c2e8t)) + c2((-1 0) (c1e2t) + (0 1) (c2e8t))y(t) = (c1e2t − c2e2t) (1 0) + (c1e8t + c2e8t) (0 1)y(t) = ((c1e2t − c2e2t) (1 0) + (c1e8t + c2e8t) (0 1))

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Answer:

Step-by-step explanation:

20

Answer: KL IS 3 + 9 THEN 5 MINUS NINE

Step-by-step explanation: FIND KL