The table shows the weights y
of x
pints of blueberries.

Number of Pints, x
0 1 2 3 4 5
Weight (pounds), y
0 0.8 1.50 2.20 3.0 3.80
a. Graph the data shown in the table using the coordinate plane provided to the right.

Question 1
b. A line that could best approximate the points could go through which two points below?
A line that could best approximate the points could go through Response area.

(0,0)
and (5,3.75)
(2,1.50)
and (4.5,2.25)
(0,0)
and (2,2.25)
Question 2
c. Use the points you chose in part (b) to write an equation of the line.
y=
y
=


d. Use the equation to predict the weight of 10 pints of blueberries.

Ten pints of blueberries weight about pounds.

e. Blueberries cost $2.25 per pound. Use the equation to predict how much 10 pints of blueberries will cost, to the nearest cent.

Ten pints of blueberries will cost about $
$
.


Question 3
PointMove
UndoRedoReset
PintsWeight (pounds)

Answer:

14. EA, EB, EC, EG

15. AC, AD, AE, A F

Answer:

32/9

Step-by-step explanation:

The random sample of \(24\) students has a mean of \(1.9149\), and the data suggests that the mean is \(20^{0}\).

x = (xi) / n is the general solution for computing the sample mean. Thus, xi refers to all X sample values, xi represents the sampling distribution, and n is the total number of specimen terms inside the data collection.

The statistic known as the sampling distribution is created by arithmetically averaging the values of the variables in a group. The sample mean is an estimate of the anticipated value if the sample is taken from probabilistic with a common expected value.

(a) Sample mean \(= (17 + 21 + 20 + 19 + 23 + 22 + 20 + 20 + 18 + 21 + 19 + 24 + 22 + 20 + 19 + 20 + 19 + 20 + 21 + 22 + 23 + 21 + 18 + 22)/24 = 20.5\)Sample standard deviation \(= 1.9149\)

Next, we can use a t-distribution with \(23\) degrees of freedom

Confidence interval \(= (20.5 - 0.8277, 20.5 + 0.8277) = (19.6723, 21.3277)\)

b) The assumption required in order to generalize the estimate to the population of students at this university is that the \(24\) students in the study formed a random sample of students at this university.

(c) There is not enough evidence to suggest that the mean wrist extension for people using the new mouse design is greater than \(20^{0}\).

To know more about Sample mean visit:

https://brainly.com/question/30023845

#SPJ1

Answer:

-9 3/4

Step-by-step explanation:

FG = GH

9x+15 = 5x+4

Subtract 5x from each side

9x+15-5x = 5x+4-5x

4x+15 = 4

Subtract 15 from each side

4x+15-15 = 4-15

4x = -11

Divide by 4

4x/4 = -11/4

x = -11/4

FG = 9x+15

FG = 9*(-11/4) +15

  = -99/4+15

    -99/4 + 60/4

   = -39/4

  = -9 3/4

Answer:

A 0.5

Step-by-step explanation:

p(b/a) = (p(a) × p(b))/p(a)

If A and B are independent events, P(A) = 0.4, and P(B) = 0.5, P(BIA) = 0.5 .So, correct option is A.

In probability theory, two events A and B are considered independent if the occurrence of one event does not affect the probability of the other event happening. Mathematically, this is represented as P(A ∩ B) = P(A) * P(B).

In this case, we are given that events A and B are independent, and we know the probabilities of each individual event: P(A) = 0.4 and P(B) = 0.5.

The probability of both events A and B occurring (denoted as P(A ∩ B) or P(B ∩ A)) is the product of their individual probabilities: P(A ∩ B) = P(A) * P(B).

So, P(B|A) represents the conditional probability of event B occurring given that event A has already occurred. Since A and B are independent, the occurrence of A doesn't affect the probability of B happening. Therefore, P(B|A) is equal to P(B), which is 0.5.

In summary, P(B|A) = P(B) = 0.5, as events A and B are independent, and the probability of B occurring is unaffected by the occurrence of A.

So, correct option is A.

To learn more about probability/events click on,

https://brainly.com/question/28502755

#SPJ2

Answer:

  5 : 2

Step-by-step explanation:

The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...

  1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2

The ratio of the perimeters of the triangles is 5 : 2.

_____

As a unit ratio, it is 2.5 : 1, or 2.5.

Answer:

b

Step-by-step explanation:

Product is multiplication.

First multiply 0.7 by 2:

0.7 x 2 = 1.4

Because there is only one number to the left of the decimal point the scientific notation remains the same 10^4

The answer is 1.4 x 10^4

The general solution to the nth order homogeneous differential equation with characteristic equation\((r - 1)^n\) = 0 is given by y(x) = c₁\(e^(^x^)\) + c₂x\(e^(^x^)\) + c₃x²\(e^(^x^)\) + ... + cₙ₋₁\(x^(^n^-^1^)e^(^x^)\), where c₁, c₂, ..., cₙ₋₁ are constants.

When we have a homogeneous linear differential equation of nth order, the characteristic equation is obtained by replacing y(x) with \(e^(^r^x^)\), where r is a constant. For this particular equation, the characteristic equation is given as \((r - 1)^n\) = 0.

The equation \((r - 1)^n\) = 0 has a repeated root of r = 1 with multiplicity n. This means that the general solution will involve terms of the form \(e^(^1^x^)\), x\(e^(^1^x^)\), x²\(e^(^1^x^)\), and so on, up to\(x^(^n^-^1^)\)\(e^(^1^x^)\).

The constants c₁, c₂, ..., cₙ₋₁ are coefficients that can be determined by the initial conditions or boundary conditions of the specific problem.

Each term in the general solution corresponds to a linearly independent solution of the differential equation.

The exponential term \(e^(^x^)\) represents the basic solution, and the additional terms involving powers of x account for the repeated root.

In summary, the general solution to the nth order homogeneous differential equation with characteristic equation \((r - 1)^n\) = 0 is y(x) = c₁\(e^(^x^)\)+ c₂x\(e^(^x^)\) + c₃x²\(e^(^x^)\) + ... + cₙ₋₁\(x^(^n^-^1^)e^(^x^)\), where c₁, c₂, ..., cₙ₋₁ are constants that can be determined based on the specific problem.

Learn more about differential equations

brainly.com/question/28921451

#SPJ11

Answer:

51

Step-by-step explanation:

I mean it should add up to 180 so

180 = 63+66+x

x=51

Answer:

51

Step-by-step explanation:

Since there are two angles already filled in, we should know that a straight line equals 180°, meaning that we can add the two angles we already have (which makes 129) and subtract it by 180

180

- 129

____

51

Answer:

-3/2

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

Using the points (-4,11) and ( 0,5)

m = ( 11-5)/( -4-0)

  = 6/-4

  = -3/2

Answer:

Step-by-step explanation:

Answer:

scatter plot 3

Step-by-step explanation:

No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.

A. If the yogurt is flavored at a chain facility and stocked in the store as different yogurt flavors, the store must keep a separate safety stock for each flavor.

B. If the store only adds flavors on demand and keeps plain yogurt and flavored syrup separate.

C. In the second scenario, in which the store keeps plain yogurt and flavored syrup separately, the amount of safety stock will be minimal.

While calculating the safety stock required in each situation we must take into account the variation in demand and the lead time for replenishment.

A. Safety stock is used to account for the unpredictability of demand and guarantee that there is enough inventory to meet customer demand during the lead time for replenishment.

B. In this example the business keeps the plain yogurt and flavored syrup separate, allowing customers to mix the flavors. Because the retailer is not required to keep a safety stock for every flavor, the amount required will be less than in the previous case.

C. The need for surplus inventory is reduced because flavors are mixed on demand, allowing the business to alter the proportions based on consumer preferences. Precise demand fluctuations and lead time considerations will determine the safety stock difference between these two options, which will require additional computations based on available data.

Learn more about Safety stock, here:

https://brainly.com/question/30906540

#SPJ4

The given number is

The scientific notation of the number is,

Answer: 2450 min or 40hr and 50 min

Step-by-step explanation:

We can use a proportion to set up this equation.

\(\frac{30 pages}{60 min} =\frac{1225 pages}{x min}\)

We cross muliply so get our equation.

\(30x=1225(60)\\\)

\(30x=73500\)

\(x=2450 min\)

It took Mike 2450 min to read 1225 pages. We can also use a proportion to write this in hours

\(\frac{60min}{1hr} =\frac{2450min}{x }\)

\(60x=2450\)

\(x=40 hr 50 min\)

Part 1: The standard deviation of $817 indicates the average amount of variation,

Part 2: The probability that a randomly selected student from the class missed at least two questions on the quiz is 0.7 or 70%.

Part 1:

Insurance companies estimate claim payments for cars based on make, model, value, and accident damage.

The random variable C represents the cost of a randomly selected car of one model to the insurance company.

The probability distribution of C is as follows:

P(C = $0) = 0.60

P(C = $500) = 0.05

P(C = $1000) = 0.13

P(C = $2000) = 0.22

The standard deviation (s) is given as $817.

Interpreting the Standard Deviation in Context The standard deviation (s) of $817 represents the measure of the average amount of variation or dispersion in the cost of cars for the given insurance company. A higher standard deviation indicates a wider range of car costs, suggesting that the insurance company faces a higher level of financial risk when setting premiums for different car models.

Part 2:

The professor gave a short quiz and tracked the number of questions missed.

X represents the number of questions missed on the quiz (random variable).

The specific probability distribution for X is not provided in the question.

To calculate the probability that a randomly selected student from the class missed at least two questions on the quiz,

We need the probability distribution for X, the number of questions missed on the quiz.

Since the distribution is not provided, we'll assume a hypothetical distribution for the purpose of calculation.

Assume the following hypothetical probability distribution for X:

X: Number of questions missed on the quiz

P(X): Probability

P(X = 0) = 0.1

P(X = 1) = 0.2

P(X = 2) = 0.3

P(X = 3) = 0.2

P(X = 4) = 0.1

P(X = 5) = 0.1

To find the probability that a student missed at least two questions, we need to sum the probabilities of all outcomes where X is greater than or equal to 2:

P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≥ 2) = 0.3 + 0.2 + 0.1 + 0.1 P(X ≥ 2) = 0.7

Therefore, the probability that a student missed at least two questions on the quiz is 0.7 or 70%.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ4

the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

a. To find the probability that the player will make both free throws, we simply multiply the probability of making one free throw by itself: 0.94 * 0.94 = 0.8836 (to 4 decimals).

b. To find the probability that he will make at least one free throw, we can use the complement rule. The complement of making at least one free throw is missing both free throws, so we can find the probability of missing both free throws and subtract that from 1: 1 - 0.06 * 0.06 = 0.9964 (to 4 decimals).

c. To find the probability that he will miss both free throws, we multiply the probability of missing one free throw by itself: 0.06 * 0.06 = 0.0036 (to 4 decimals).

d. For the team's worst free throw shooter who makes 56% of his free throws, the probabilities are as follows:

a. The probability of making both free throws is 0.56 * 0.56 = 0.3136.

b. The probability of making at least one free throw is 1 - the probability of missing both free throws: 1 - 0.44 * 0.44 = 0.8044.

c. The probability of missing both free throws is 0.44 * 0.44 = 0.1936.

Comparing the probabilities for the two players, we can see that intentionally fouling the worst free throw shooter is a better strategy. This is because the probability of him missing both free throws is higher (0.1936 vs. 0.0036), which means the opposing team has a greater chance of gaining possession of the ball. In addition, the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

To know more about  complement rule click here:

brainly.com/question/29146128

#SPJ4

Answer:

Domain: -2 < x ≤ 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:

(-2, 3] or -2 < x ≤ 3

Answer:

ramen is the true answer to lifes problems  

Step-by-step explanation:

The expression that represent the number of marbles Dallas has is 3x - 5

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

Dallas has 5 fewer than 3 times as many marbles as Anthony

Also from the question, we have

Anthony has x marbles

This means that

Anthony = x

So, we have

Dallas has 5 fewer than 3 times as many marbles as x

Express as equation

Dallas = 5 fewer than 3 times as many marbles as x

So, we have

Dallas = 5 fewer than 3x

Represent as equation

Dallas = 3x - 5

Hence, the expression is 3x - 5

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

To find the line of best fit on a table, you can use a technique called linear regression.

Linear regression helps determine the relationship between two variables and allows you to create a line that represents the best fit for the data points.

Drawing a straight line on a scatter plot with nearly equal numbers of points above and below it (and passing through as many points as feasible) can allow you to roughly estimate the line of best fit.

Learn more about linear regression click;

https://brainly.com/question/14313391

#SPJ1

Answer:

B

Step-by-step explanation:

slope is y2-x2/y1-x1

So, 8-1/4-7

Or, -7/3

so its B

Hope this helps plz hit the crown :D

Answer: error

Step-by-step explanation:

Answer:

goog le goo gle go ogle

Step-by-step explanation:

sorry but the problem is that brainly thinks Goo gle is too inappropriate of a word