write the slope-intercept form of the line described
11) through: (5,5), parallel to y = 8/5x + 5

Answer:

a(n)= a + (n - 1)d

a(n) = 17 - 3n

Step-by-step explanation:

14, 11, 8 , 5 , ...

The given sequence above is an Arithmetic sequence and the explicit formula is given as:

a(n) = a + (n - 1)d

Where

a = First term = 14

n = number of terms

d = common difference

The common difference =

Second term - First term or Third term - Second term

= 11 - 14 or 8 - 11 or 5 - 8

= -3

Therefore, the explicit formula for the nth term a(n) is written as:

a(n) = 14 + (n - 1)-3

a(n) = 14 -3n + 3

a(n) = 14 + 3 - 3n

a(n) = 17 - 3n

The explicit formula a(n) =

a(n) = 17 - 3n

200 is your response.

Step-by-step explanation:

Answer:

x = 18.0

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these types of problems are easy.

In your problem,  sin of an angle = opposite side/hypotenuse

So,  sin 51 = 14/x

      x sin 51  = 14

            x = 14/sin 51 = 18.0

Answer:

\((5/46, -99/23)\)

Answer:

2x + 3y = 6

Step-by-step explanation:

The equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 5 ( subtract 2x from both sides )

3y = - 2x + 5 ( divide terms by 3 )

y = - \(\frac{2}{3}\) x + \(\frac{5}{3}\) ← in slope- intercept form

with slope m = - \(\frac{2}{3}\)

Parallel lines have equal slopes, then

y = - \(\frac{2}{3}\) x + c ← is the partial equation

To find c substitute (3, 1 ) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - \(\frac{2}{3}\) x + 3 ( multiply through by 3 to clear the fraction )

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← equation of parallel line

The probability of drawing the first yellow ball on the eighth draw is 1/2772.

The probability of drawing a yellow ball on the eighth draw is the probability of drawing 7 non-yellow balls followed by a yellow ball.

The probability of drawing a non-yellow ball on the first draw is 7/12 since there are 7 non-yellow balls out of a total of 12 balls in the bag. After the first non-yellow ball is drawn, there will be 6 non-yellow balls left out of a total of 11 balls. So the probability of drawing a non-yellow ball on the second draw is 6/11. Continuing in this manner, the probability of drawing 7 non-yellow balls in a row is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6)

Now, there are 5 yellow balls left out of a total of 5 + 7 + 3 = 15 balls. So the probability of drawing a yellow ball on the eighth draw is 5/15.

Therefore, the probability of drawing the first yellow ball on the eighth draw is

(7/12) × (6/11) × (5/10) × (4/9) × (3/8) × (2/7) × (1/6) × (5/15)

Simplifying this expression, we get

(7 × 6 × 5 × 4 × 3 × 2 × 1 × 5) / (12 × 11 × 10 × 9 × 8 × 7 × 6 × 15)

which simplifies to:

1/2772

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The given question is incomplete, the complete question is:

A bag contains 3 red balls, 4 green balls, and 5 yellow balls. If balls are drawn one at a time without replacement, what is the probability that the first yellow ball is drawn on the eighth draw?

\(Hello\) \(There!\)

The answer is....

\(11.\)

Hopefully, this helps you!

\(AnimeVines\)

Answer:

The answer is 11.

Step-by-step explanation:

(11*5)-(11*4)=???

11*5=55

11*4=44

55-44=11.

The a survey of 1,150 people for choose their favorite laundry detergent from brands. If percent value of people who choose brand A is 3, then the number of people who chose A as their favorite brand are 30 , 35 , 40.

We have a survey results of total 1150 people. That is sample size = 1150

The survey is based on their favorite laundry detergent from brands A, B, and C. The percent of people who chose A as their favorite brand = x %

If x = 3, we have to determine the number of people who chose A as their favorite brand. So, we use percentage formula, for each option and see for which number of people percent is equals to 3. Now, percent formula is \( \frac{value}{total \: value}×100%.\)

a) \( (\frac{20}{1150 }) 100 \% = 1.73 \%\) ≈ 2%

b) \( (\frac{25}{1150 }) 100 \% = 2.17 \%\) ≈ 2%

c) \( (\frac{30}{1150 }) 100 \% = 2.60\%\) ≈ 3 %

d) \( (\frac{35}{1150 }) 100 \% = 3.04\%\)≈ 3 %

e)\( (\frac{40}{1150 }) 100\% = 3.48 \%\) ≈ 3%

f)\( (\frac{45}{1150 }) 100 \% = 3.91 \%\)≈ 4%

g)\( (\frac{50}{1150 }) 100 \% =4.35 \%\) ≈ 4%

Hence, all such numbers are 30 , 35 , 40.

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Complete question:

A survey asked 1,150 people to choose their favorite laundry detergent from brands A, B, and C. Of the people surveyed, x percent chose A as their favorite brand. If x is rounded to the nearest integer, the result is 3. Which of the following could be the number of people who chose A as their favorite brand? Indicate all such numbers.

a)20

b) 25

c)30

d) 35

e) 40

f) 45

g) 50

If x percent of people chose A as their favorite brand, then the number of people who chose A can be found by multiplying x percent by the total number of people surveyed:

number of people who chose A = (x/100) * 1150

Since x is rounded to the nearest integer and equals 3, we have:

number of people who chose A = (3/100) * 1150 = 34.5, which is closest to 35.

If x percent chose brand A as their favorite and x is rounded to the nearest integer, it means that x lies between x-0.5 and x+0.5. In other words, x-0.5 <= actual percentage of people who chose A <= x+0.5.

From the given information, we know that x rounded to the nearest integer is 3. Therefore, we have:

2.5 <= x <= 3.5

Since x represents the percentage of people who chose brand A, we can find the number of people who chose A as their favorite by multiplying x with the total number of people surveyed (1150). Therefore, the number of people who chose brand A lies between:

2.5% of 1150 <= number of people who chose A <= 3.5% of 1150

28.75 <= number of people who chose A <= 40.25

Since the number of people who chose A must be a whole number, the only possible value for the number of people who chose is 29.

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The ball will hit the ground after approximately 0.14 seconds or 1.86 seconds

To find how long it will take the ball to reach 18 feet, we need to solve the equation h = 18:

-16t²  + 32t + 2 = 18

Simplifying, we get:

-16t²  + 32t - 16 = 0

Dividing by -16:

t²  - 2t + 1 = 0

Factoring:

(t - 1)²  = 0

Taking the square root:

t - 1 = 0

t = 1

Therefore, the ball will reach 18 feet in 1 second.

To find when the ball will be at 10 feet, we need to solve the equation h = 10:

-16t²  + 32t + 2 = 10

Simplifying, we get:

-16t² + 32t - 8 = 0

Dividing by -8:

2t² - 4t + 1 = 0

Using the quadratic formula:

t = (4 ± √(16 - 8)) / 4

t = (4 ± 2) / 4

t = 1 or t = 1/2

Therefore, the ball will be at 10 feet after half a second or 1 second.

To find when the ball will hit the ground, we need to solve the equation h = 0:

-16t² + 32t + 2 = 0

Using the quadratic formula:

t = (-32 ± √(32² - 4(-16)(2))) / 2(-16)

t ≈ 0.14 or t ≈ 1.86

Therefore, the ball will hit the ground after approximately 0.14 seconds or 1.86 seconds (rounded to the nearest hundredth).

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Answer:

Hello!!

Rewrite the question below to eliminate the bias...

"Should students get homework since some students have to work after school?"

The rewritten question would be...

Should students get homework?

Hope this helps!!

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

Please remember to vote this as Brainliest if I earned it!

Answer:

x = 8 :)

Step-by-step explanation:

5x + 5(3) = 55

5x + 15 = 55

5x = 40

40/5 = 8x = 8

Answer:

8

Step-by-step explanation:

Step 1:

5x + 5 ( 3 ) = 55         Equation

Step 2:

5x + 15 = 55     Multiply

Step 3:

5x = 40        Subtract 15 on both sides

Step 4:

x = 40 ÷ 5          Divide

Answer:

x = 8

Hope This Helps :)

Answer:

Step-by-step explanation:

We can set up a proportion to solve for the unknown amount of gasoline needed:

distance traveled / amount of gasoline = constant

Let x be the amount of gasoline needed to travel 155 miles. Using the given information, we can set up the following proportion:

713 miles / 23 gallons = 155 miles / x

Simplifying, we get:

x = (155 miles * 23 gallons) / 713 miles

x = 5 gallons (rounded to the nearest gallon)

Therefore, the car needs 5 gallons of gasoline to travel 155 miles.

Answer:

\(12 * (2 - 3) + (4 * 2)\)

Step-by-step explanation:

Follow PEMDAS for the given answer.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

Reverse solve the answer so that the result is the question.

First, solve the parenthesis:

12 * (2 - 3) + (4 * 2)

12 * (-1) + 8

Next, multiply 12 and -1 together:

12 * -1 = -12

Finally, add:

-12 + 8 = -4

12 * (2 - 3) + (4 * 2) is your answer.

~

\(12 \times (2 - 3) + (4 \times 2)\)

Step-by-step explanation:

Add parentheses to the following equation to make it true.

\(12 \times 2 - 3 + 4 \times 2 = - 4\)

\( = 12 \times 2 - 3 + 4 \times 2 = - 4\)

\( = 12 \times (2 - 3) + (4 \times 2)\)

\( = 12 \times ( - 1) + 8\)

\( = - 12 + 8\)

\( = - 4\)

The absolute minimum value is 3.4 and  occurs at x  = 0.2

The absolute maximum value is 272 and  occurs at x  = 16

To get the absolute maximum and minimum values of the function f(x) = x+16x= 17x in the given interval [0.2 , 16], we need to get the values of f(x) at the end points. The end points are 0.2 and 16

at x = 0.2

f(0.2) =  17*0.2

f(0.2) = 3.4

at the other end point i.e at x = 16;

f(16) =  17*16

f(16) = 272

The absolute minimum value is 3.4 and  occurs at x  = 0.2

The absolute maximum value is 272 and  occurs at x  = 16

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Answer: s + 22 is the answer.

Answer:

So we know that y=1/2x. So we apply this equation on each x.

x=-2, so y=1/2*-2 which is -1. so y = -1

x=0, so y = 1/2 * 0 which is 0. so y=0

x=2, so y = 1/2*2 which is 1. so y=1

Hope this helps :))

Given the expression :

The expression will be equal:

so, the answer is option 4)

Answer:

1/2

Step-by-step explanation:prime numbers ={2,3,5,7}

likelihood of prime numbers =number of prime numbers /all numbers

                                                  =4/8 , 4 divides itself once and 4 divides 8 twice.

                                                  =1/2

Answer:

y=6

Step-by-step explanation:

right!!

The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

\(n = (Z * \sigma / E)^2\)

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

\(n = (1.96 * 1.5 / 0.4)^2\)

\(n = (2.94 / 0.4)^2\)

\(n = 7.35^2\)

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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Use the property of determinant det(AB) = det(A)det(B) and the fact that A and A' have the same transpose to show that det(AAT) = (det(A))^2, and then use the fact that AAT is similar to A'A to conclude that they have the same characteristic polynomial. Option C is the correct answer.

Start with det(AAT). Use the formula det(AB) = (det A)(det B) to write det(AAT) = (det A)(det A). Then use the formula AAT = EI.

We can show that A and A' have the same characteristic polynomial by showing that they have the same eigenvalues.

Let λ be an eigenvalue of A with corresponding eigenvector x. Then we have:

Ax = λx

Multiplying both sides by A' on the left, we get:

A'Ax = A'λx

Using the fact that A'A = AA' = I, we can simplify this expression to:

x = λA'x

This shows that λ is also an eigenvalue of A' with corresponding eigenvector A'x. Therefore, A and A' have the same set of eigenvalues, which means that they have the same characteristic polynomial.

To prove this using determinants, we start with det(AAT). Using the property det(AB) = (det A)(det B), we can write:

det(AAT) = det(A)det(AT)

Since det(AT) = det(A) (which can be shown using the fact that det(AT) = det(A) and the property det(AB) = det(A)det(B)), we can simplify this expression to:

det(AAT) = (det A)^2

Using the fact that AAT = EI, we can write:

det(AAT) = det(EI)

Since det(EI) = 1, we have:

(det A)^2 = 1

Taking the square root of both sides, we get:

det A = ±1

This means that A and A' have the same set of eigenvalues, which implies that they have the same characteristic polynomial.

So, the correct option is C.

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Answer:

1/3 x 1/2

Step-by-step explanation:

Answer:

-10. is the answer

Step-by-step explanation:

The equation of line p is y = 1/2x +   -10

i just answered the question on edge.

Answer:

6(x)=228

Step-by-step explanation:

Answer:

228/6

Step-by-step explanation:

she is dividing the 228 dollars among the six tickets to get the answer

you can also put 228 divided by 6

If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Conduct a left-tailed hypothesis test using Minitab to determine if there is strong evidence that the average weight of cookies sold at the café is less than 80 grams. Also, construct a 90% confidence interval for the mean weight.

Population of interest: All cookies sold at the local café in a month.

Variable of interest: Weight of the cookies.

Parameter of interest: Mean weight of all cookies sold in a month (μ).

Study design: This is an observational study.

Hypotheses:

Null hypothesis (H₀): The average weight of all cookies sold is equal to or greater than 80 grams (μ ≥ 80).

Alternative hypothesis (H₁): The average weight of all cookies sold is less than 80 grams (μ < 80).

This is a left-tailed test since the customer believes the average weight is less than 80 grams.

The significance level (α) is not mentioned in the given information, so we'll assume α = 0.05.

Using Minitab, perform a one-sample t-test using the data from the cookies.mwx file with a null hypothesis of μ ≥ 80. Check if the p-value is less than 0.05 to determine whether the customer has strong evidence to support the claim that the average weight is less than 80 grams.

Additionally, construct a 90% confidence interval for the mean weight of all cookies sold in the local café for that month.

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The expression shows how to find out how much a repair will cost  is 45 + 55x

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

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

Total charges = Tow + Rate per hour * x

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

Total charges = 45 + 55x

Hence, the expression is 45 + 55x

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a. The lower real limit is 14.5.
b. The upper real limit is 15.5.


The formula for calculating real limits is Real Limit = Raw Score ± 0.5. The real limits can be used to determine if an individual's score is significantly different from the population mean. The real limits are computed to ensure that the distribution is symmetrical about the mean.  

In this case, the first subject's raw score is 15 feet. Therefore, the lower real limit is 14.5 (15 - 0.5), and the upper real limit is 15.5 (15 + 0.5). The score of 15 feet is considered normal if it falls between the real limits. However, if it falls outside of the real limits, it is considered significantly different from the population mean. Thus, the real limits are essential for analyzing the scores obtained in this study.

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