In each of the following settings, give a 95% confidence interval for the coefficient of x2.
n=26, Ŷ=1.6+6.4 x1+5.7 x2, SE of b2=3.1
n=26, Ŷ=1.6+4.8 x1+3.2 x2+5.2 x3, SE of b2=2.2
For each of the settings in (a),(b), test the null hypothesis that the coefficient of x1 is zero versus the two-sides alternative.

Answer:

25/32

Step-by-step explanation:

To evaluate the expression

\(\frac{x^{-2}y^{0} }{x^{3}y^{-2} }\)

First we replace x and y by the given values

So x becomes 2 and y becomes 5

\(\frac{2^{-2}5^{0} }{2^{3}5^{-2} }\)

Expressions with negative exponents in the numerator always go to the denominator with positive exponent and on the denominator goes to the numerator with positive exponent

\(\frac{5^{2}5^{0} }{2^{3} 2^{2} }\)

Simplify

\(\frac{25*1 }{8*4 }\)

Which is

\(\frac{25}{32}\)

The ratio of cups of flour to tablespoons of peanut butter if Felipe makes 3 batches of dog treats is, 1/4

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Felipe makes 3 batches of dog treats

The recipe for peanut butter dog treats,

(Ingredient)                 (amount)

Peanut butter              4 tbsp

Flour                             1 cup

Egg                               1

Water                           2 tbsp

For 3 batches

Peanut butter required = 3 × required for one batch

                                       = 3 × 4

                                       =  12 tbsp

Flour Required               =  3 × required for one batch

                                       =  3 × 1

                                       =  3

the ratio of cups of flour to tablespoons of peanut butter =  3/12

                                                                                                =  1/4

Hence, the ratio is 1/4

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To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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Answer:

C. Acute

Step-by-step explanation:

Pythagorean theorem can be used to determine the type of triangle any 3 given sides can form.

This,

A right ∆ is formed if a² + b² = c²

An acute ∆ is formed if a² + b² > c²

An obtuse ∆ is formed if a² + b² < c²

Note: c is the longest side of any triangle.

Using the side lengths given:

9.2² + 15.1² ? 17.4²

84.64 + 228.01 ? 302.76

312.65 > 302.76

An acute triangle is formed because a² + b² > c²

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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Answer

650

explanation:

multiply the length value by 10

To prove the converse of the Vertical Angles Theorem, we need to show that if angles LDBC and LABE are congruent and points D, B, and E are on opposite sides of line AB, then they must be collinear.

Given: ∠LDBC ≅ ∠LABE

To Prove: D, B, and E are collinear

Proof:

1. Assume that points D, B, and E are not collinear.

2. Let BD intersect AE at point X.

3. Since D, B, and E are not collinear, then X is a point on line AB but not on line DE.

4. Consider triangle XDE and triangle XAB.

5. By the Alternate Interior Angles Theorem, ∠XAB ≅ ∠XDE (corresponding angles formed by transversal AB).

6. Since ∠LDBC ≅ ∠LABE (given), we have ∠LDBC ≅ ∠XAB and ∠LABE ≅ ∠XDE.

7. Therefore, ∠LDBC ≅ ∠XAB ≅ ∠XDE ≅ ∠LABE.

8. This implies that ∠XAB and ∠XDE are congruent vertical angles.

9. However, since X is not on line DE, this contradicts the Vertical Angles Theorem, which states that vertical angles are congruent.

10. Therefore, our assumption that D, B, and E are not collinear must be false.

11. Thus, D, B, and E must be collinear. Therefore, the converse of the Vertical Angles Theorem is proven, and we can conclude that if ∠LDBC ≅ ∠LABE and D, B, and E are on opposite sides of line AB, then D, B, and E are collinear.

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Answer:

x+1

if it helps let me know by voting

Step-by-step explanation:

Answer:

3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to

Step-by-step explanation:

To find the linear distance traveled by a wheel, you need to consider its circumference and the number of complete revolutions it has made. The linear distance traveled is equal to the product of the circumference of the wheel and the number of revolutions.

Here's how you can calculate it:

Determine the circumference of the wheel: Measure the distance around the outer edge of the wheel. This can be done by using a measuring tape or by multiplying the diameter of the wheel by π (pi).

Determine the number of complete revolutions: Count the number of times the wheel has made a full rotation. This can be done by observing a reference point on the wheel and counting the complete cycles it completes.

Calculate the linear distance: Multiply the circumference of the wheel by the number of complete revolutions. This will give you the total linear distance traveled by the wheel.

For example, if a wheel has a circumference of 2 meters and completes 5 revolutions, the linear distance traveled would be 2 meters (circumference) multiplied by 5 (revolutions), resulting in a total distance of 10 meters.

In summary, to find the linear distance traveled by a wheel, multiply the circumference of the wheel by the number of complete revolutions it has made. This calculation allows you to determine the total distance covered by the wheel.

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The expected value (e(x)) of the given probability mass function can be calculated as 1.36.

To find the expected value (e(x)), we need to calculate the weighted average of the values of x using their respective probabilities. The given probability mass function is F(x) = (2x + 1)/25.

We can calculate the expected value using the formula:

e(x) = Σ(x * P(x))

where Σ denotes the sum, x represents the values, and P(x) represents the probabilities.

For the given function, the values of x are 0, 1, 2, 3, and 4.

Plugging in the values into the formula:

e(x) = (0 * P(0)) + (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4))

Calculating the probabilities for each value:

P(0) = (2 * 0 + 1)/25 = 1/25

P(1) = (2 * 1 + 1)/25 = 3/25

P(2) = (2 * 2 + 1)/25 = 5/25 = 1/5

P(3) = (2 * 3 + 1)/25 = 7/25

P(4) = (2 * 4 + 1)/25 = 9/25

Substituting these values into the expected value formula:

e(x) = (0 * 1/25) + (1 * 3/25) + (2 * 1/5) + (3 * 7/25) + (4 * 9/25)

= 0 + 3/25 + 2/5 + 21/25 + 36/25

= 1.36

Therefore, the expected value (e(x)) of this probability mass function is 1.36. Thus, the correct option is b. 1.36.

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Answer:

(-1.5, 0.25)

Step-by-step explanation:

This image will show you the intersection of the two graphs. Enjoy :)

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The volume of the triangular prism that is 16 ft long is calculated as: 288 ft³

A triangular prism has two triangular bases. The volume of the triangular prism can be found by using the formula below:

Volume of triangular prism = 0.5 * b * h * L, where:

Given the parameters below:

Length of the the base of the triangular face (b) = 4 ft

Height of the triangular face (h) = 9 ft

the length is triangular prism (L) = 16 ft

Volume of the triangular prism = 0.5 * 4 * 9 * 16

Volume of the triangular prism = 288 ft³

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The area to the right of 2.6 in a t-distribution with n degrees of freedom is 0.9082, assuming the sample is a random sample from a distribution that is reasonably normally distributed and that we are doing inference for a population mean.

We can use a t-distribution table or a statistical software program to find the area to the right of 2.6. Here, I'll show you how to use a t-distribution table:

Determine the degrees of freedom (df) for the t-distribution. This is equal to n - 1.

Look up the t-value that corresponds to a one-tailed probability of 0.05 and df.

Multiply the t-value by -1 to get the positive value for the right tail. In other words, we need the value for the right tail, so we flip the sign of the t-value.

Add 0.5 to the result to account for the area to the left of 2.6. This gives us the cumulative probability from negative infinity to 2.6.

Subtract the result from 1 to get the area to the right of 2.6.

For example, suppose we have a sample of size n = 10. Then, the degrees of freedom for the t-distribution would be df = 10 - 1 = 9. Using a t-distribution table, we can look up the t-value that corresponds to a one-tailed probability of 0.05 and df = 9:

t-value = 1.833

Since we need the positive value for the right tail, we multiply by -1 to get:

t-value = -1.833

Adding 0.5 to account for the left tail gives:

t-value + 0.5 = -1.333

Finally, subtracting this result from 1 gives us the area to the right of 2.6:

Area to the right of 2.6 = 1 - 0.0918 = 0.9082

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Comparing the percentages we see that Marco listened to his albums more than Tucker.

A fraction is a number that represents a portion of a whole and is stated as a ratio of two integers, where the denominator is the overall number of equal parts and the numerator is the number of parts. A percentage is a figure that is stated as a fraction of 100 and denotes a portion of a whole. You multiply by 100 to convert a fraction to a percentage. You divide a percentage by 100 and simplify it to get a fraction.

Given that, Tucker listened to 3/8 of his albums.

Converting into percentage we have:

3/8 = 0.375 = 37.5%

For Marco he listened to 39% of his albums.

Thus, comparing the percentages we see that Marco listened to his albums more than Tucker.

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The number of polio vaccinations is 32  and measles vaccination is 28

Let p represent the number of polio vaccines and let m represent the number of measles vaccines.

We know that each polio vaccine consists of 4 doses, and each measles vaccine consists of 2 doses.

Dr. Potter gave a total of 60 vaccinations last year. Therefore, the sum of the number of polio vaccines and measles vaccines must total 60. Therefore:

p+m=60

Together, they consisted of 184 doses.

Since each polio vaccine has 4 doses, the amount of doses for p polio vaccines is 4p.

And since each measles vaccine has 2 doses, the amount of doses for m measles vaccines is 2m.

So:

4p+2m=184

We now have a system of equations:

p+m=60

4p+2m=184

We can solve using elimination. Let’s multiply the first equation by -2. So:

-2p-2m=-120

Now, we can add this to the second equation. Hence:

(-2p+4p)+(-2m+2m)=(-120+184)

2p=64

p=32

Therefore, Dr. Potter gave out 32 polio vaccinations

p+m=60

By the first equation:

p+m=60

Substitute 32 for p to get

32+m=60

m=60-32

m=28

So, 28 measles vaccinations were given out.

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The expression for P(x) is -3x³ - 4.

To find the expression for P(x), we need to subtract C(x) from R(x).

Given that R(x) = 2x² - 3x³ + 2x - 1 and C(x) = x² - x² + 2x + 3, we can substitute these values into the equation P(x) = R(x) - C(x):

P(x) = (2x² - 3x³ + 2x - 1) - (x² - x² + 2x + 3)

Simplifying, we can combine like terms:

P(x) = 2x² - 3x³ + 2x - 1 - x² + x² - 2x - 3

The x² terms cancel each other out, and the 2x and -2x terms also cancel each other out:

P(x) = -3x³ - 1 - 3

Simplifying further:

P(x) = -3x³ - 4

Therefore, the expression for P(x) is -3x³ - 4.

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Answer:

10,33

Step-by-step explanation:

2,53 to 6,43

when you go up 4 on the first number, you go down 10 on the second number

Is 9 because 12-9 is 3

Step-by-step explanation:

12-9=3

The equation of the given parabola is: y = (x - 4)² + 2

The equation of the given parabola graphed below, which is concave up and has a vertex located at coordinates (4, 2), can be determined using the standard form of the equation of a parabola. The equation of the given parabola with a vertex at (4, 2) can be found using the standard form of the equation of a parabola.

The standard form of the equation of a parabola is y = a(x - h)² + k, where (h, k) is the vertex and a is the constant determined by the focus and directrix of the parabola

Since the given parabola is concave up and has a vertex located at (4, 2), we know that the equation of the parabola must be of the form: y = a(x - 4)² + 2The value of a is determined by the distance between the vertex and focus of the parabola. Since the parabola is concave up, the focus is located above the vertex and the directrix is located below the vertex, both equidistant from the vertex.

The distance from the vertex to the focus is equal to a, and the distance from the vertex to the directrix is also equal to a. Since the vertex is located at (4, 2), the focus is located at (4, 2 + a), and the directrix is located at y = 2 - a. The distance between the vertex and focus is given by the formula:

d = |y-coordinate of focus - y-coordinate of vertex|

d = |(2 + a) - 2| = |a|

Similarly, the distance between the vertex and directrix is given by:

d = |y-coordinate of directrix - y-coordinate of vertex|

d = |2 - a - 2| = |-a|

Since the distances are equal, we can equate them:

|a| = |-a|
a = ± a

However, we know that a must be positive since the parabola is concave up. Therefore, a = |a|, and we can write:

a = 2 + a - 2
a = a²
a² - a = 0
a(a - 1) = 0

Thus, a = 0 or a = 1. Since a cannot be equal to 0, we have a = 1. Therefore, the equation of the given parabola is:

y = (x - 4)² + 2

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Answer:

846,838,805

Step-by-step explanation:

Add 846837947+858

Answer:

x=43 degrees

Step-by-step explanation:

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

yes she is if you mutilate and then simplify

Answer:

\({ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}\)

Answer:

D

Step-by-step explanation:

A polynomial is in standard equation when the degree of the polynomial are in descending order.

Answer:

R= (-9,10)

S= (-9,1)

T= (1,1)

U= (1,10)

Step-by-step explanation:

the easiest way to do this, even though it takes longer, is count how many boxes it takes to get to the axis you are reflecting over. then count the same amount on the reflected side.

Answer:

Step-by-step explanation:

The proper loop condition test to quit iterating if x < 10 and y > 3 would be:

while (!(x < 10 && y > 3))

This condition will be true as long as either x is not less than 10 or y is not greater than 3. Once both conditions are met, the loop will exit.

The output of the code fragment would be:

"That is all. Goodbye"

Since the condition "x > 5" in the if statement is not true (x is equal to 5), the printf statement inside the if block will not be executed. The following printf statements outside the if block will be executed and will print the corresponding text.

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Solve for the unit price of 11.5-ounce package.

Divide the cost by the number of ounce of the package.

$4.24 ÷ 11.5 oz = $0.3690 per ounce

Rounding off to the nearest cent → $0.37 per ounce.

Solve for the unit price of 27.8-ounce package

Do the same as above with its corresponding cost.

$9.98 ÷ 27.8 oz = 0.359 per ounce

Rounding off to the nearest cent → $0.36 per ounce.

Comparing the two, the 27.8-ounce package is much cheaper per ounce than with the 11.5-ounce package, thus the 27.8-ounce package is a better buy.

Answer:

I think it's 6.9282032302755

Answer:

$288

Step-by-step explanation:

16+8=24

$24 per book

24 x 12 = 288