If 4:15=a:2 1/2(two and a half), what is the value of a

The minimum value occurs when x = 10 and y = 0, resulting in a minimum value of 10.

To find the minimum value of the function 4x - 5y + 10 subject to the conditions inequality 0 ≤ x ≤ 10 and 0 ≤ y ≤ 5, we evaluate the function at the boundaries of the given conditions.

At the upper bound of x, when x = 10, the function becomes 4(10) - 5y + 10 = 40 - 5y + 10 = -5y + 50. Since y has a lower bound of 0, the minimum value of -5y + 50 occurs when y = 0, resulting in a value of 50.

At the lower bound of y, when y = 0, the function becomes 4x - 5(0) + 10 = 4x + 10. Similarly, since x has an upper bound of 10, the minimum value of 4x + 10 occurs when x = 10, resulting in a value of 50.

Comparing the values obtained at the boundaries, we find that the minimum value of the function 4x - 5y + 10 is 10.

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The mathematical functions (equations) are matched to their graph line respectively as follows:

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:

y = mx ± c.

An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = keˣ

Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:

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a) The domain of the function is D : x < 7 or x > 7

b) The range of the function R : f ( x ) < 6

c) The vertical asymptote : x = 7

d) The horizontal asymptote : y = 6

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ -1/ ( 5x - 35 )² ] + 6

On simplifying , we get

when the denominator is simplified to 0 , the function is undefined

So , 5x - 35 = 0

Adding 35 on both sides , we get

5x = 35

x = 7

So , the domain cannot be 7

a) The domain of the function is D : x < 7 or x > 7

b) The range of the function R : f ( x ) < 6

c) The vertical asymptote : x = 7

d) The horizontal asymptote : y = 6

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Answer:

45

Step-by-step explanation:

Plug in the values into the equation

4(12) - 3

48 - 3 = 45

Answer:

45

Step-by-step explanation:

4(12) - 3

48 - 3

45

Using the Z-table, we can determine the probability that a sample of 120 steady smokers spend between $19 and $21 is 0.986.

We have given that,

A sample is consider as survay to determine mean unt of steady smokers.

sample size (n) = 120

sample mean (X-bar ) = $20

standard deviations of sample (s) = $5

confidence interval is (19,21)

firstly we find the Z-Score value for given sample , C.I = X-bar +- Z(s/√n)

=> either 19 = 20 + Z(5/√120) or

21 = 20-Z(5/√220)

=> either Z = -0.456 or Z = 1/0.456

=> -2.19<Z<2.19

Using the either two tailed test or Z-table we can easily calculate the value of Probability.

the value of P( - 2.19<Z<2.19) is 0.986 ~ 0.99

Hence, the required probability is 0.986

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Based on the random sample, there is not enough evidence to conclude that more than 65% of all adults in the US use television as one of their main sources of news.

To answer your question, we will perform a hypothesis test using the given information.
Step 1: State the hypotheses.
H0 (null hypothesis): p = 0.65 (65% of all adults in the US use television as one of their main sources for news)
Ha (alternative hypothesis): p > 0.65 (more than 65% of all adults in the US use television as one of their main sources for news)
Step 2: Determine the sample proportion (p-hat) and sample size (n).
p-hat = 0.66 (66% from the random sample of 1500 adults)
n = 1500
Step 3: Calculate the test statistic (z) using the formula:
z = (p-hat - p) / sqrt[(p * (1-p)) / n]
z = (0.66 - 0.65) / sqrt[(0.65 * (1-0.65)) / 1500]
z = 0.01 / 0.013 (given Sâ¢Eâ¢=â0.013)
z ≈ 0.77
Step 4: Find the p-value corresponding to the test statistic.
Using a z-table or calculator, we find the p-value for z = 0.77 is approximately 0.2206. Since this is a one-tailed test, we will use this p-value directly.
Step 5: Compare the p-value to the significance level (α) and make a decision.
Assuming a common significance level (α) of 0.05, our p-value (0.2206) is greater than α. Therefore, we fail to reject the null hypothesis (H0).

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The radius of a circle is 5 feet, 23.55 feet is the length of an arc.

The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.

The arc length formula may be used to get a circle's arc length from its radius and central angle.

The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.

Given that,

radius (r) = 5 feet

angle (θ) = 3π/2

Now as we know,

Arc length = radius x subtended angle in radians

or, Arc length = 5 feet x (3π/2 radians)

or, Arc length = 15π/2

or, Arc length = 23.55 feet

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Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (1, 7) ← 2 points on the line

m = \(\frac{7-1}{1-(-2)}\) = \(\frac{6}{1+2}\) = \(\frac{6}{3}\) = 2

use either of the 2 points on the line

using (- 2, 1 ) , then

y - 1 = 2(x - (- 2) ) , that is

y - 1 = 2(x + 2) ← equation in point- slope form

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

I Think earthier b, or C

Step-by-step explanation:

Answer:

B) 70.3

Step-by-step explanation:

You can solve this question two different ways.

One way is to find 85% of 38 by doing 38 × 0.85, which is 32.3. Then, you can add that to 38 (since 100% of 38 is 38) and get 70.3.

Another way you can find this (the easiest way) is to just find 185% right off the bat by doing 38 × 1.85 and get the answer of 70.3.

Answer: 70.3 :) This is the answer

Answer:its upside down sir

Step-by-step explanation:

Answer:

im pretty sure the last one

Step-by-step explanation:

Answer:

5 sport games

Step-by-step explanation:

25 total video games * (1 sport game / 5 video games) = 5 sport games

The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.

The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.

The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.

The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.

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Answer:

103°

Step-by-step explanation:

\( m\angle DST = m\angle DCS = 80\degree.. (\angle 's \: in\: alternate \: segment) \)

\( In\: \triangle DST\)

\( m\angle DTS = 180\degree - (60\degree + 80\degree) \)

\( m\angle DTS = 180\degree - 140\degree\)

\( m\angle DTS = 40\degree\)

\( m\angle ETA+m\angle ETD+ m\angle DTS= 180\degree.. (straight \:line \:\angle 's) \)

\( m\angle ETA+37\degree + 40\degree = 180\degree\)

\( m\angle ETA+77\degree = 180\degree\)

\( m\angle ETA = 180\degree-77\degree \)

\( m\angle ETA = 103\degree \)

\( x = m\angle ETA = 103\degree.(\angle 's \: in\: alternate \: segment) \)

Answer:Its only 10 points :(               206 is the answer i think GL:)

Step-by-step explanation:Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh

scam:/ i want 20:(:(:(

Cross sectional data are collected from several entities at the same point in time.

In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.

You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.

In conclusion, the correct option is A.

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Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

In this scenario, there are four people in a room. Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

The remaining person is a foreign agent who has chosen a pair randomly. Thus, if any two of the three people with the valid pairs collaborate, they can successfully uncover the secret, as per the properties of the Shamir secret sharing scheme.

The presence of the foreign agent does not affect the security of the scheme unless they collaborate with another person possessing a valid pair.

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Answer:

11.44

Step-by-step explanation:

Answer:

59.09%

Step-by-step explanation:

Honestly, this is the only answer I found fitting

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Adam uses 1/8 + 3/4 of his flour supply in total, to make the goods he needs. The LCM between 4 and 8 is 8.

So:

7/8 of the total is 21 pounds. Let the total be x.

Adam has a total of 24 pounds of flour in his supply.

Using the given percentages, we can see that the first option is the cheaper one.

On the first store we know that the selling price is $455 and there is a market down of 50%, so the new price is:

p  =(1 - 0.5)*$455 = $227.50

On the second store there are two discounts, one of 20% and other of 30%, then the new price in this case will be:

q = (1 - 0.3)*(1 - 0.2)*$455 = $254.80

So we can see that the first option is better.

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Answer: what problem are you asking for

Step-by-step explanation:

Answer:

def drugPotency(loss,expire):

   m=0

   effectiveness=100

   print('Month:',m,'\t','effectiveness:',effectiveness)

   while effectiveness>=expire:

       effectiveness=effectiveness*(1-loss/100)

       m+=1

       if effectiveness>=expire:

           print('Month:',m,'\t','effectiveness:',effectiveness)

       else:

           print('Month:',m,'\t','effectiveness:',effectiveness,'DISCARDED')

drugPotency(4.0,50.0)    

Step-by-step explanation:

Given that x is a continuous variable with the probability density function f(x) = c(10-x)^2 for 0 < x < 10, we need to find the value of c.

Step 1: Understand that for a probability density function, the total area under the curve must equal 1. Mathematically, this is expressed as:

∫[f(x)] dx = 1, with integration limits from 0 to 10.

Step 2: Substitute f(x) with the given function and integrate:

∫[c(10-x)^2] dx from 0 to 10 = 1

Step 3: Perform the integration:

c ∫[(10-x)^2] dx from 0 to 10 = 1

Step 4: Apply the power rule for integration:

c[(10-x)^3 / -3] from 0 to 10 = 1

Step 5: Substitute the integration limits:

c[(-1000)/-3 - (0)/-3] = 1

Step 6: Solve for c:

(1000/3)c = 1

c = 3/1000

c = 0.003

So the probability density function f(x) = 0.003(10-x)^2 for 0 < x < 10.

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The number of viewers in the third episode was 2.16 times that of the second episode.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of viewers in the first episode.

The second episode = x + 80% of x = x + 0.8x = 1.8x

For the third episode = 1.8x + 20% of 1.8x = 1.8x + 0.36x = 2.16x

The number of viewers in the third episode was 2.16 times that of the second episode.

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Answer:

n=4/-3

Step-by-step explanation:

2n-3 = 5n+1

2n-5n = 1+3

-3n = 4

n =4/-3

n=-4/3

ANSWER

2(n-3) = 4n+1

(2×n) + (2×-3) = 4n+1

2n + (-6) = 4n + 1

2n - 6 = 4n + 1

2n - 6+6 = 4n + 1 + 6

2n = 4n + 7

2n - 4n = 4n - 4n + 7

-2n = 7

-2n/-2 = 7/-2

n = -3 1/2