A line passes through the point (-8, 5) and has a slope of - 5/4.
Write an equation in slope-intercept form for this line.
Helpp​

Answer:

x = x amount of chips in 1 bag

x about of chips in 1 bag times the 4 bags = x amount of chips in all 4 bags

The least-squares regression line is used to predict the values of one variable based on the values of the other variable. In this case, the Verbal score can be predicted from the Math score.

The formula for the least-squares regression line is: Verbal = a + b * Math, where a is the intercept and b is the slope. The least-squares regression line for predicting Verbal score from Math score can be determined using a calculator or a statistical software package.

Once the least-squares regression line has been determined, it can be used to make predictions about the Verbal score for a given Math score. For example, if a student scores 600 on the Math portion of the SAT, the least-squares regression line can be used to predict their Verbal score.

The least-squares regression line is a useful tool for analyzing the relationship between two variables. It can be used to identify patterns and trends, and to make predictions about future values.

However, it is important to remember that correlation does not equal causation, and that other factors may be influencing the relationship between the two variables. The least-squares regression line should be used as a starting point for further analysis, rather than as a definitive answer.

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Answer:

6 sec

Step-by-step explanation:

when ball return to the ground, h is 0

0=at^2 +bt

0 = -4.9t^2+29.4t

factor: -4.9 times -6 is 29.4

0 = -4.9t(t-6)

set each equation to 0

-4.9t = 0 or t-6=0

t = 0 or t= 6

it's 6 seconds

Answer:

after 6 seconds in the air

Step-by-step explanation:

setting 'h' equal to zero will yield when the ball returns to the ground

you can factor out -4.9t to get:

-4.9t(t - 6) = 0

t = 0 (prior to ball being thrown)

t = 6 (this means, after 6 seconds, the height of the ball is back to zero)

Answer:

You can fill 27 glasses with milk

Step-by-step explanation:

Amount of servings, which is number of cartons times serving per carton, divided by the amount the glass can hold.

Let's solve the amount of servings:

Serving per carton: 1 1/2 is 3/2
Number of cartons: 12 (dozen)

12*3/2 = 18 servings

Now divide it by the amount the glass can hold:

18 ÷ 2/3 = 18*3/2 = 27 glasses

Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

It is that each method has different equations and not all of them can tell you what you are looking for

Step-by-step explanation:

If I helped can I get Brainliest

if other factors are held constant, what is the effect of increasing the sample variance: B. it will increase the estimated standard error and decrease the likelihood of rejecting h0.

In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, the standard error of a sample proportion can be calculated by using this formula:

Standard error = √(p × (1 - p)/n)

Where:

Generally speaking, the effect of increasing the sample variance is an increase in estimated standard error and a decrease in the likelihood of rejecting H_{0} provided that other factors are held constant.

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Answer:

81 times.

Step-by-step explanation:

A dice has 6 sides.

The dice is fair, so each side has a 1/6 chance of being rolled.

The are 3 numbers greater than 3 - 4, 5 and 6.

Each of those numbers have a 1/6 chance of being rolled.

Together, their chance of being rolled is:

1/6 + 1/6 + 1/6 = 3/6 = 1/2

The dice is rolled 162 times.

162 x 1/2 = 81

Gordon should roll a number greater than 3 81 times.

Answer:

I cannot see the full question but if i am wrong i will edit my answer but i think it is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 ) -3p=-48

p=-48/-3

8) -98=7t

t=-98/7

9) -4.4 y =-4

y=-4/-4.4

10) 2.8 c=4.2

c=4.2/2.8

Answer:

0.2

Step-by-step explanation:

1/5 is equvalent with 10/5=0.2

if $.08 per kW-hr, we can find the electric bill for the month using the rule of three.

$.08 per kW-hr =

$0.08 ------------ 1 kW-hr

x --------------------- 8,284 kW-hr

Where x = (8,284 kW-hr*$0.08)/1 kW- hr

Then:

x= $662.72

Hence, the electric bill for the month of April was $662.72.

A CR less than or equal to 0.1 is considered acceptable, indicating a consistent set of judgments in comparing the criteria. If the CR is greater than 0.1, it is advised to revise the pairwise comparisons to improve consistency.

The Consistency Ratio (CR) in the context of the GEAR Matrix (which is related to bikes, not fruit) measures the level of consistency in judgments made when comparing criteria in a decision-making process, such as the Analytic Hierarchy Process (AHP).

To calculate the CR for the Criteria in the GEAR Matrix, follow these steps:

1. Determine the pairwise comparison matrix by comparing the importance of each criterion against the others.

2. Calculate the weights of each criterion by normalizing the columns and finding the average for each row.

3. Multiply the pairwise comparison matrix by the weight vector to obtain a new vector.

4. Divide each element of the new vector by its corresponding weight to obtain the Consistency Vector.

5. Calculate the average of the Consistency Vector to get the Consistency Index (CI).

6. Divide the CI by the Random Index (RI) for the specific matrix size (this value can be found in AHP literature) to obtain the Consistency Ratio (CR).

Therefore, A CR less than or equal to 0.1 is considered acceptable, indicating a consistent set of judgments in comparing the criteria. If the CR is greater than 0.1, it is advised to revise the pairwise comparisons to improve consistency.

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Complete Question:

What is the Consistency Ratio of the GEAR Matrix? This question is related to BIKE and not fruit..So please use BIKE MATRIX.

What is the CR of Criteria?

To find the volume of a solid obtained by rotating a region around the x-axis, you can use the disk or washer method. Divide the region into small disks or washers and find the volume of each by integrating over the interval.

Let's look at the part of the region between x=0 and x=1. To rotate this part around the y-axis, we'll need to find the radius of each shell. The radius of each shell is just the distance from the y-axis to the point on the curve, so it's equal to x. The height of each shell is just the height of the region, which is given by y. So the volume of this part of the region is: V1 = ∫[0,1] 2πxy dx. The part of the region between x=1 and x=4. To find the radius of each shell, we'll need to use the equation of the circle x^2 + y^2 = 4. Solving for y, we get y = √(4-x^2). So the radius of each shell is equal to √(4-x^2). The height of each shell is still just y. So the volume of this part of the region is: V2 = ∫[1,4] 2πy√(4-x^2) dx

The part of the region between x=4 and x=5. To find the radius of each shell, we'll need to use the equation of the line y=x-4. So the radius of each shell is equal to x-4. The height of each shell is still just y. So the volume of this part of the region is: V3 = ∫[4,5] 2πy(x-4) dx. Adding up these three volumes, we get the total volume: V = V1 + V2 + V3

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X=49°

Step-by-step explanation:

we have an isosceles triangle

thus our equation is

x+x+82=180°

=>2x+82°=180°

cancel 82 from both sides

=>2x=98

divide both sides by 2

therefore

X=49

The answer to the question "Is the dependent variable continuous?" would be a. Yes, it is measured in interval form.

The question asks whether the dependent variable is continuous. In this context, a continuous variable is one that can take on any value within a certain range. The options provided are: (a) Yes, it is measured in interval form, (b) No, it is measured in variance form,

(c) Yes, it is measured, and (d) The error occurs when you reject the correct hypothesis during a hypothesis test. Among these options, the most appropriate answer is (a) Yes, it is measured in interval form.

This indicates that the dependent variable is continuous and can be measured on an interval scale, where the values can have a meaningful order and the differences between them are consistent.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Answer:

He only added Sundays run

Step-by-step explanation:

Answer: 45%

Step-by-step explanation:

You need to purchase price to answer this question and I believe that purchase price to be $240,000.

The question wants to know the percentage of the purchase price that the down payment is and to find that out, use the following formula:

= Down payment / Purchase price * 100%

= 108,000 / 240,000 * 100%

= 45%

Answer:

45%

Step-by-step explanation:

.......................

This is my answer. Check it!

Answered by Benjemin

Answer:

Step-by-step explanation:

Let us have:

Formula of nth or last term:

The sequence:

The sum of the sequence is:

Lets multiply the sum by r and subtract the sum:

Solve this for S:

So we have a sum formula determined by the first, last terms and the common ratio.

The option (a) is correct answer which is the Fourier-Legendre expansion of the given function is 55/112

The Fourier-Legendre expansion of the function f(x) = x¹⁰ on [-1, 1] is given by

\(\[f(x) = \sum_{n = 0}^\infty {c_n}{P_n}(x)\].\)

Therefore, we need to find the coefficient c₂ which is given by

\(\[c_n = \frac{{2n + 1}}{2}\int_{ - 1}^1 {{P_n}(x)f(x)dx}\].\)

Let us find the coefficient c₂; so,

\(n = 2 \[c_2 = \frac{{2 \cdot 2 + 1}}{2}\int_{ - 1}^1 {{P_2}(x){x^{10}}dx} = 5\int_{ - 1}^1 {{P_2}(x){x^{10}}dx}\]\)

The first few Legendre polynomials are:

\(\[{P_0}(x) = 1\]\[{P_1}(x) = x\]\[{P_2}(x) = \frac{1}{2}(3{x^2} - 1)\]\[{P_3}(x) = \frac{1}{2}(5{x^3} - 3x)\]\)

Using the third Legendre polynomial

\(\[{P_2}(x) = \frac{1}{2}(3{x^2} - 1)\],\)

we can write,

\(\[c_2 = \frac{5}{2}\int_{ - 1}^1 {\left( {\frac{1}{2}(3{x^2} - 1)} \right){x^{10}}dx} \]\[ = \frac{5}{2}\left[ {\frac{3}{{13}}{x^{13}} - \frac{1}{11}{x^{11}}} \right]_{ - 1}^1 = \frac{5}{2}\left[ {\frac{3}{{13}} - \frac{1}{11} - \left( { - \frac{3}{{13}} + \frac{1}{11}} \right)} \right]\]\[ = \frac{5}{2}\left[ {\frac{3}{{13}} - \frac{1}{11} + \frac{3}{{13}} - \frac{1}{11}} \right] = \frac{{55}}{{112}}\]\)

Therefore, the answer is option a) 55/112.

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Complete question is,

If J₅(4) = aJ₂​(4) + bJ₃​(4), where J is the Bessel's function of the first kind, then a = a) 17 b) 2 c) 13 d) 21 e) -2

The Fourier-Legendre expansion of f(x) = x¹⁰ on [−1,1] is ∑n=0∞​cn​ Pn​(x). Then c₂ = a) 45/112 b) 35/97 c) 35/87 d) 50/143 e) 40/99 f) 55/112

The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers  .

Let us understand the Division with the help of example ;

let the number be 10 ;

first we divide the number 10 by 0.5 ;

this can be written mathematically as ⇒ \(\frac{10}{0.5}\)  ;

⇒ \(\frac{10}{\frac{1}{2} }\) = \(10\times2\) = 20 ;

So , on dividing 10 by 0.5 , we get the answer as 20 .

Second , the number 10 is divided by 2 ;

this can be written mathematically as ⇒ \(\frac{10}{2}\) ;

⇒ \(\frac{10}{2 }\)  = 5  ;

So , on dividing 10 by 2 , we get the answer as 5  .

Therefore , dividing by 0.5 is not same as dividing by 2 .

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In 84 ways 3 employees can be chosen from the set of 9.

What is combination?

Total 9 employees from that 3 employees can be chosen.

Total number of combination = ⁹C₃

= 9! / (9-3)! 3!

= 9 *8 *7/3*2

=3* 4* 7

= 12 * 7

= 84

Hence, in 84 ways 3 employees can be chosen from the set of 9.

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The probability of obtaining exactly 2 phones with good screens is 0.4219.

The probability of obtaining at least 2 phones with good screens is 0.9023.

The probability of obtaining at most 2 phones with good screens is 0.2773.

(a) To find the probability of exactly 2 phones with good screens, we can use the binomial distribution with n=4 and p=3/4.

P(exactly 2 phones with good screens) = (4 choose 2) \(\times\) \((3/4)^{2}\) \(\times\)\((1/4)^2\)= 0.4219

Therefore, the probability of obtaining exactly 2 phones with good screens is 0.4219.

(b) To find the probability of at least 2 phones with good screens, we can sum the probabilities of 2, 3, and 4 phones with good screens.

P(at least 2 phones with good screens) =

P(exactly 2 phones with good screens) + P(exactly 3 phones with good screens) + P(all 4 phones have good screens)

P(at least 2 phones with good screens) = (4 choose 2)\(\times (3/4)^2 \times (1/4)^2 + (4 choose 3) \times (3/4)^3 \times (1/4)^1 + (4 choose 4) \times (3/4)^4 \times (1/4)^0\) = 0.9023

Therefore, the probability of obtaining at least 2 phones with good screens is 0.9023.

(c) To find the probability of at most 2 phones with good screens, we can use the complement rule.

P(at most 2 phones with good screens) = 1 - P(at least 3 phones with good screens)

P(at most 2 phones with good screens) = 1 - (P(exactly 3 phones with good screens) + P(all 4 phones have good screens))

P(at most 2 phones with good screens) = 1 - ((4 choose 3) \(\times (3/4)^3 \times (1/4)^1\)+ (4 choose 4) \(\times (3/4)^4 \times (1/4)^0)\) = 0.2773

Therefore, the probability of obtaining at most 2 phones with good screens is 0.2773.

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Answer: 860 buttons

Step-by-step explanation: 688/12 = 57.3333333...

                         57.3333... multiplied by 15 is equal to (860 buttons)

When the sample size is small and the population distribution is not normal, the mean is a biased estimate.

Nonetheless, the bias of the mean reduces as the sample size grows, making it a more trustworthy estimator. As a result, the mean is the biased estimator whose bias will decrease as the sample size increases.

Increasing the sample size has no impact on the bias of the median, standard deviation, and range estimators since they are non-biased estimators.

These estimators may, however, be made more precise and accurate by increasing the sample size, which increases their dependability for predicting population parameters.

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Complete question:

Which biased estimator will have a reduced bias based on increased sample size? mean median standard deviation range

The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.