Maria's Grocery Store buys grapefruit at a cost

of 5 for a dollar. They sell them at a price of 5

for three dollars. How many must they sell in

order to make a profit of ten dollars?

Answer:

y = -7

Step-by-step explanation:

If x equals -14 then you would plug it in and the equation would be -2(-14)-3y=49

The new equation would be 28-3y=49

Then you would subtract 28 from both sides and get -3y=21

Lastly you would divide both sides by -3 and get y=-7

Taking the limit of r'(t) as Δt → 0, we get:  r'(t) = <4, 2t>  The vector equation r(t) = <4t - 4, t² + 4> is given.

We need to find r'(t).

Given the vector equation, r(t) = <4t - 4, t² + 4>

Let r(t) = r'(t) = We need to differentiate each component of the vector equation separately.

r'(t) = Differentiating the first component,

f(t) = 4t - 4, we get f'(t) = 4

Differentiating the second component, g(t) = t² + 4,

we get g'(t) = 2t

So, r'(t) =  = <4, 2t>

Hence, the required vector is r'(t) = <4, 2t>

We have the vector equation r(t) = <4t - 4, t² + 4> and we know that r'(t) = <4, 2t>.

Now, let's find r'(t) using the definition of the derivative: r'(t) = [r(t + Δt) - r(t)]/Δtr'(t)

= [<4(t + Δt) - 4, (t + Δt)² + 4> - <4t - 4, t² + 4>]/Δtr'(t)

= [<4t + 4Δt - 4, t² + 2tΔt + Δt² + 4> - <4t - 4, t² + 4>]/Δtr'(t)

= [<4t + 4Δt - 4 - 4t + 4, t² + 2tΔt + Δt² + 4 - t² - 4>]/Δtr'(t)

= [<4Δt, 2tΔt + Δt²>]/Δt

Taking the limit of r'(t) as Δt → 0, we get:

r'(t) = <4, 2t> So, the answer is correct.

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Answer:

binomial

Step-by-step explanation:

bcoz highest power(degree) is 2

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

The required piece-wise function shown in the graph is y = x + 1 for x < 2 and y = 2x - 1 for x > 2.

To determine the equation of the given piece-wise function,
The equation of the function under x < 2 is given as,
y = x + 1 for x < 2

This equation can be obtained by locating two points on the line such as (-1, 0) and (0, 1), and forming an equation with these points,

Similarly,
For x > 2, we have
y = 2x - 1

Thus, the required piece-wise function shown in the graph is y = x + 1 for x < 2 and y = 2x - 1 for x > 2.

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Answer:

y=-0.23(x-8)^2

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Step-by-step explanation:

If we let A be the event that Trevor studies for at least 50 minutes, and let B be the event that he passes his Algebra test, then we know:

P(A and B) = 0.88

P(A) = 0.92

We want to find the probability that Trevor passes his Algebra test given that he studied for at least 50 minutes, or in other words, we want to find P(B|A).

We can use Bayes' theorem to find this probability:

P(B|A) = P(A and B) / P(A)

Substituting in our values, we get:

P(B|A) = 0.88 / 0.92

Simplifying this fraction, we get:

P(B|A) = 0.9565

Therefore, the probability that Trevor passes his Algebra test given that he studied for at least 50 minutes is approximately 0.9565.

The temperature was 48° at least once throughout the day as the temperature rises from 43° to 56° and 43° < 48° < 56° .  

The temperature was 43° at 3 PM and it rises to 56°  at 7.30 PM.

So we know that the rise of temperature in linear , hence the temperature will follow the rule of real numbers. Hence the temperature will increase through all the possible numbers between 43 and 56

Again 43° < 48° < 56°  , so at least once the temperature will be 48 ° .

You can think about integers as either independent objects or as a tool for problem-solving. The study of analytical objects (such as the Riemann zeta function) that somehow encode features of integers, primes, or any other number-theoretic objects is often the best method for understanding number theory issues (analytic number theory).

Most people refer to number theory as arithmetic. By the turn of the 20th century, "numerical theory" had taken its place.  (The term "arithmetic" is usually used to refer to "elementary computations," but it has come to signify more concepts in mathematical logic and computer technology, such as floating-point arithmetic.)

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Answer:

it is negative

Step-by-step explanation:

becasue -3 1/3 plus 3 1/2 is 1/6 which is positive so 1/6 is positive and -1/4 is negative and any positive divided by a negative is always going to be negative !!

Answer:37 1/2

Step-by-step explanation:

You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2

Answer:

\(1 \frac{1}{2} \\ \)

Step-by-step explanation:

\( \frac{ \frac{ - 3}{8} }{ \frac{ - 1}{4} } \\ \frac{ - 3}{8} \div \frac{ - 1}{4} \\ \frac{ - 3}{8} \times \frac{4}{ - 1} \\ \frac{ - 3}{2} \times \frac{1}{ - 1} \\ \frac{ - 3}{ - 2} \\ \frac{3}{2} \\ 1 \frac{1}{2} \)

Answer:9

Step-by-step explanation:because when we add 7+7+6+6=26 then we will going to 35-26= 9 im not sure so don’t hate me if it was wrong

Answer: d. 0.0047

Step-by-step explanation: The p-value is the calculated value used to compare to the significance level to determine if you reject or fail to reject the null hypothesis.

To find p-value, first find the z-score:

z = \(\frac{x-\mu}{SE}\)

x is sample mean

μ is population mean

SE is standard error calculated by \(\frac{s}{\sqrt{n} }\)

SE = \(\frac{10}{\sqrt{50} }\)

SE = 1.414

z = \(\frac{24-28}{1.414}\)

z = - 2.83

The hypotheses (\(H_{0}, H_{a}\)) are if sample mean is equal or different from the average given, so, p-value will be the value of z from z-table multiplied by 2:

p-value = 0.00233*2

p-value = 0.0047

The p-value for this test is 0.0047

The temperature is a function of time, as there is a single temperature for each instant of time.

A relation represents a function when each input value is mapped to a single output value.

For the set in this problem, we have that:

As there are no repeated inputs, the temperature is in fact a function of time.

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Answer:

Step-by-step explanation:

Cvnnxx nkjcdyggcfxdcvvcwbfjndnd

Answer:

if its a 9 by9

Step-by-step explanation:

you need AT LEAST 36 feet

(a) A = 1/2 (bh)

(b) b = P/R

(c) 8?

Answer:

Step-by-step explanation:

can you screenshot the problem thanks

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

The Laplace transform of the input x(t) is X(s) = 1/(s+1), and its region of convergence (ROC) is Re(s) > -1.

To find the Laplace transform of the input x(t), we can use the definition of the Laplace transform:

X(s) = ∫[0,∞) e^(st) x(t) dt

Given x(t) = e^t u(-t), we substitute this into the Laplace transform integral:

X(s) = ∫[0,∞) e^(st) e^t u(-t) dt

Since u(-t) is zero for t > 0, the integration limits can be changed to [-∞, 0]:

X(s) = ∫[-∞,0] e^(st) e^t dt

Combining the exponents:

X(s) = ∫[-∞,0] e^((s+1)t) dt

Integrating this expression yields:

X(s) = [1/(s+1)] [e^((s+1)t)] | [-∞,0]

Plugging in the limits of integration and simplifying, we get:

X(s) = 1/(s+1)

The region of convergence (ROC) is determined by the values of s for which the Laplace transform converges. In this case, the ROC includes all values of s greater than -1, as the exponential term e^((s+1)t) must decay for t → ∞. Therefore, the ROC is Re(s) > -1.

In summary, the Laplace transform of the input x(t) is X(s) = 1/(s+1), and its region of convergence (ROC) is Re(s) > -1.

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The probability that the mean weight of the sample babies would be less than 3174 grams is 0.1237 (rounded to four decimal places).

Given that the mean weight of babies born in a large hospital is 3215 grams and the variance is 84681. A sample of 67 babies is chosen at random from the hospital. We need to find the probability that the mean weight of the sample babies is less than 3174 grams.

To solve this, we can use the central limit theorem, which states that the sample means of a large sample (n > 30) taken from a population with a mean μ and a standard deviation σ will be approximately normally distributed with a mean μ and a standard deviation σ / √n.

Here,

n = 67,

μ = 3215 and

σ² = 84681.

σ = √σ² = √84681 = 290.8191

σ / √n = 290.8191 / √67 = 35.4465

To find the probability that the sample mean weight of the babies is less than 3174 grams, we need to find the z-score.

z = (x - μ) / (σ / √n) = (3174 - 3215) / 35.4465 = -1.1572

From the standard normal distribution table, we find that the probability of z being less than -1.1572 is 0.1237.

Therefore, the probability that the mean weight of the sample babies would be less than 3174 grams is 0.1237 (rounded to four decimal places).

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The average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations, have been computed.

To calculate the average sales quantities for the year before and after the given year, we need the following information: customer names, product names, quarters (1-4), and years. Let's assume we have a dataset containing this information.

1. Year before: To calculate the average sales quantity for the year before the given year, we subtract 1 from the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

2. Year after: Similarly, to calculate the average sales quantity for the year after the given year, we add 1 to the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

By following the above steps, we have computed the average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations. This information can provide valuable insights into sales trends and help businesses make informed decisions regarding inventory management, customer targeting, and forecasting.

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The commission of the agent is 196000

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

Commission percentage = 7%

Earnings = 2.8 million

Using the above as a guide, we have the following:

Commission = 7% * Earnings

Substitute the known values in the above equation, so, we have the following representation

Commission = 7% * 2.8 million

Evaluate

Commission = 196000

Hence, the commission is $196000

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Cost of 75 pound of candy = 75×6 = $450

Additional fee for each bulk = $250

Total = $700

Therefore, $700 is the correct answer.

No, to construct a confidence interval, the population should be is approximately normal.

The information about distribution of population is important in order to find out the sampling distribution. When we want to construct confidence interval, the accuracy of results depend on three conditions.

1. The data needs to be randomly selected.

2. The sampling distribution needs to be normally distributed

3. The observations must be independent.

So one of the conditions is to ensure that the population is normally distributed.

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

n(1 - p) ≥ 10

When the population follows normal distribution then a small number of samples will be adequate, on the other hand, if the population is skewed then we need a greater sample size to ensure normal sampling distribution.  

Therefore, the population is approximately normal before constructing a confidence interval.

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The most accurate estimated sum of 181 and 204 is 380

The given numbers are 181 and 204

The compatible numbers are defined as the numbers that are easy to do the arithmetic operations. The arithmetic operations are addition, subtraction, division and multiplication etc.

To find the sum of the compatible numbers first we have to round the given numbers to the nearest tens or hundreds and do the the arithmetic operation

Round 181 to the nearest tens = 180

Round 204 to the nearest tens = 200

Then the sum of compatible numbers will be

180 + 200 = 380

Therefore, the most accurate estimation is 380

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Answer:

14 eggs

Step-by-step explanation:

Answer: It takes 14 eggs to make 42 dozen cookies

Step-by-step explanation: To solve using a proportion first start out with 2eggs/6cookies (They are in a dozen but 42 is also in a dozen so it cancels out). Now that you have 2/6 you now have to find the x in x/42. 42 divided by 6 is 7 so multiply 2 by 7 and you get: It takes 14 eggs to make 42 dozen cookies or 14/42. Hope this helps

Answer:

3

because it says -3

so yeah

atleast i hope Im so bad at math

There is a change of 1/2 for Adam to get strictly more heads than Ben.

The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)

If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.

Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.

Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.

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