A local ice cream store wanted to see if there was a linear relationship between average temperature on any given day and their ice cream sales. After recording sales and temperatures for 15 randomly selected days they calculated b1 to be equal to 1.24 and a standard error of b1 to be equal to 2.59. Using the appropriate equation, calculate the test statistic is to test if there is a linear relationship between these two variables. Round to two decimal places as necessary. 0.48.

Answer:

-3, -3

Step-by-step explanation:

It would just be the opposite of the point(look at it as a mirror).

Hope this helps! :)

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

for more such questions on truth value

https://brainly.com/question/7483637

#SPJ8

Answer:

m=0 , b=41

Step-by-step explanation:

Answer:

C 2.0

Step-by-step explanation:

x-1.4 =0.6

add 1.4 to both sides

x=2.0

Answer:

719.4244604

Step-by-step explanation:

100/0.139=719.4244604

Answer:

I think answer is D but it could be wrong not sure

As the margin of error decreases, the width of the confidence interval decreases.

So option B is correct option.

A confidence interval is a method used to estimate the population parameter of interest based on a random sample from the population. It is a range of values that contains the true population parameter with a certain degree of confidence.

To determine the accuracy of the estimate, the confidence interval is calculated as a range of values within which we are reasonably certain the true population parameter lies. The confidence interval is calculated based on the sample statistics (e.g. sample mean) and the sample size.

The margin of error (also known as the confidence interval half-width) determines the width of the confidence interval. It is the amount of uncertainty associated with the estimate. It is calculated as the product of the critical value (z*) and the standard error of the statistic.

The width of the confidence interval is inversely related to the margin of error. When the margin of error decreases, the width of the confidence interval decreases, and when the margin of error increases, the width of the confidence interval increases.

Therefore, the correct answer is b. Decreases.

For similar question on confidence interval

https://brainly.com/question/15712887

#SPJ11

Answer:

2nd

Step-by-step explanation:

The factorized form is (4x + 3)2.

In arithmetic, factorization or factoring includes writing a number or every other mathematical object as fabricated from numerous factors, usually smaller or less complicated objects of the identical type. For an instance, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

In arithmetic, factorization or factoring consists of writing a number of or some other mathematical item as a product of several factors, usually smaller or simpler gadgets of the identical kind.

In math, factorization is while you damage quite a number down into smaller numbers that, expanded collectively, give you a that authentic number. Whilst you cut up various into its elements or divisors, it's factorization. As an instance, factorization of the wide variety 12 might look like three times 4.

16x 2 + 24x + 9

= (16x + 3)(x + 3)

= (4x + 3)(4x - 3)

= (4x + 3)2

Learn more about factorization here https://brainly.com/question/25829061

#SPJ1

By using Percentage ,125 shirts  was his sales target .

What is in a percentage?

A figure or ratio that reflects a fraction of 100 is known as a percentage in mathematics. In addition to ratios, fractions, and decimals, it is one of the ways to depict a dimensionless connection between two numbers.                

                                             The symbol "%" is frequently written after the number to indicate percentages. By dividing the value by the sum of the values, and then multiplying the outcome by 100, one can get the percentage. (Value/Total Value)100% is the percentage calculation formula.

40% = 50 shirts

1 % = 50/40 shirts

100% = (50/40) * 10

        = 125 shirts

Learn more about Percentage

brainly.com/question/29306119

#SPJ4

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

Learn more about Taxes Calculations here:

https://brainly.com/question/16200743

#SPJ2

The equation in vertex for the parabola for y in terms of x is y = -0.009(x - 75)² + 55

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

Vertex = (75, 55)

Point = (100, 49.375)

The equation in vertex form for a parabola is represented as

y = a(x - h)² + k

Where

Vertex (h, k) = (75, 55)

Point (x, y) = (100, 49.375)

So, we have

y = a(x - 75)² + 55

Substitute (x, y) = (100, 49.375) in y = a(x - 75)² + 55

49.375 = a(100 - 75)² + 55

So, we have

625a = -5.625

Divide by 625

a = -0.009

Substitute a = -0.009 in y = a(x - 75)² + 55

y = -0.009(x - 75)² + 55

Hence, the equation is y = -0.009(x - 75)² + 55

Read more about parabola at

https://brainly.com/question/1480401

#SPJ1

\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

To learn more about : depth

https://brainly.com/question/1441593

#SPJ8

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

To round a number to the nearest thousand, we first need to identify the thousands digit in the number. In this case, the thousands digit is 8, because 87388 is between 80000 and 90000.

To determine whether to round up or down, we need to look at the hundreds digit, which is 7 in this case. If the hundreds digit is 5 or greater, we round up. If the hundreds digit is less than 5, we round down. In this case, the hundreds digit is 7, which is greater than or equal to 5, so we need to round up.

To round up, we add 1000 to 87388, which gives us 88388. So, 87388 rounded to the nearest thousand is 88000.

Answer:

8%

Step-by-step explanation:

The total surface area of the triangular prism using the net is 640 square meters

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

The net of a triangular prism (see attachment)

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

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

Area = 2 * 8 * 17 + 8 * 16 + 2 * 1/2 * 15 * 16

Evaluate

Area = 640

Hence, the surface area is 640 square meters

Read more about surface area at

brainly.com/question/26403859

#SPJ1

The value of function at x = 2 is -3

Hence option A is correct.

The given function is,

f(x) = 2x when x≤1

and

f(x) = -x² + 1  when x>1

we know that,

Every input x is assigned an output f(x) by a function f.

We say the function has a limit L at that input if f(x) gets closer and closer to L as x gets closer and closer to p. When f is applied to any input close to p, the output value is arbitrarily close to L.

Now we have to find the value of function when x = 2

Since we know that 2 is greater than 1

So we choose the function  according to the given limit.

So to find the value of function at x = 2,

Apply

f(x) = -x²+1

Now put x = 2 we get

f(2) = -2²+1

     = -4 + 1

      = -3

Hence the value of function at x = 2 is,

⇒ f(2) = -3

To learn more about function visit:

https://brainly.com/question/8892191

#SPJ1  

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

For more questions on probability

https://brainly.com/question/251701

#SPJ8

Answer: 1/5

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 48 minutes!

Answer:

Yes it's A. 0.79

Step-by-step explanation:

You plug in 6.5 into the y-value since it asks to find the ratio,x, if the pHis 6.5. Then you can solve using a calculator to get 0.79432, or 0.79

Answer:

A.  0.79

Step-by-step explanation:

edge 2020

9514 1404 393

Answer:

  x = 50

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°.

  130° + x° + 30° + 100° + x° = 360°

  2x° = 100° . . . . . . . . . subtract 260° and collect terms

  x = 50 . . . . . . . . divide by 2°

_____

Additional comment

If you reduce each side length to nothing, then you find the angles are measured around a central point. It becomes more clear that their sum is 360°.

Answer:

It's B, the diagonals bisect each other

Step-by-step explanation:

If they were equal, it would have to be a rectangle. If they were perpendicular, it would have to be a sqaure.

Answer: its B

Step-by-step explanation:

because the circle is open and its the greater than sign

Answer:

E

Step-by-step explanation:

You use subtraction property of equality to get rid of that 4.

Subtract 4 from both sides basically.

You get 2x > 6

Then you divide both sides by 2 to get x > 3

Then you graph it.

So it starts on point 3, and since x is greater than 3, it goes to points greater than 3, so 4, 5, 6, ect. but it never goes below or on 3.

The graph starts on three, as 3.00000000000000001 is a viable solution, but  since it says > instead of the underlined >, it is an open circle like o---->

So it is E.