The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is: ​

The correct answer is: Jeff will use 8 oz of powder and 24 cups of water to make 8 boxes of gelatin.

To determine the amount of powder and water Jeff will use to make 8 boxes of gelatin, we need to find the pattern in the given table. By examining the table, we can see that for every 3 boxes of gelatin powder (oz), 9 cups of water are used. This implies that the ratio of powder to water is 3:9, which can be simplified to 1:3.

Since Jeff wants to make 8 boxes of gelatin, we can multiply the ratio by 8 to find the corresponding amounts of powder and water.

For the powder, we have:

1 part (powder) * 8 (number of boxes) = 8 parts of powder.

Therefore, Jeff will use 8 oz of powder.

For the water, we have:

3 parts (water) * 8 (number of boxes) = 24 parts of water.

Therefore, Jeff will use 24 cups of water.

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The highest possible value of x in millions of dollars is approximately 76.4 million.

To find the highest possible value of x in millions of dollars, we need to determine the value of x that will allow the fund to last forever.

The value of the fund in year t can be expressed as:

V(t) = x + 1.045x + (1.045^2)x + ... + (1.045^(t-1))x

This is a geometric series with a common ratio of 1.045. The sum of a geometric series is given by the formula:

S = a * (1 - r^t) / (1 - r)

where a is the first term, r is the common ratio, and t is the number of terms.

In this case, a = x, r = 1.045, and we want the sum to be infinite (to last forever). Therefore, we can set up the following equation:

V = x / (1 - 1.045) = 80 million

Simplifying this equation, we get:

x / (0.955) = 80 million

x = 80 million * 0.955

x ≈ 76.4 million

So, the highest possible value of x in millions of dollars is approximately 76.4 million.

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The highest possible value of x in millions of dollars is approximately 76.4 million.

To find the highest possible value of x in millions of dollars, we need to determine the value of x that will allow the fund to last forever.

The value of the fund in year t can be expressed as:

V(t) = x + 1.045x + (1.045^2)x + ... + (1.045^(t-1))x

This is a geometric series with a common ratio of 1.045. The sum of a geometric series is given by the formula:

S = a * (1 - r^t) / (1 - r)

where a is the first term, r is the common ratio, and t is the number of terms.

In this case, a = x, r = 1.045, and we want the sum to be infinite (to last forever). Therefore, we can set up the following equation:

V = x / (1 - 1.045) = 80 million

Simplifying this equation, we get:

x / (0.955) = 80 million

x = 80 million * 0.955

x ≈ 76.4 million

So, the highest possible value of x in millions of dollars is approximately 76.4 million.

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Answer:

six 6

Step-by-step explanation:

wowkwkkwkwkwowappwpw

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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Answer:

Median=23.5

Mode=19, 30

Step-by-step explanation:

The width and perimeter of his field will be 67.4 feet and 198.8 feet, respectively.

Given that:

Area, A = 2,156.8 square feet

Length, L = 32 feet

Assume L is the length and W is the width. Then the area is given as,

A = L × W

The width of the rectangle will be calculated as,

2,156.8 = 32W

W = 67.4 feet

And the perimeter is calculated as,

P = 2(32 + 67.4)

P = 198.8 feet

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The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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First find height using Pythagorean theorem.

\(h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37\).

Then use cone surface area formula and compute the result:

\(A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}\).

Hope this helps.

Answer:

(a) To find the probability that a trip will take at least 1/2 hour (30 minutes), we need to find the area under the normal distribution curve to the right of 30 minutes. We can standardize the distribution using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (30 - 24) / 3.8 = 1.58

Using a standard normal distribution table or a calculator with a normal distribution function, we can find the probability that a trip will take at least 30 minutes is approximately 0.0571 or 5.71%.

(b) If the office opens at 9:00 a.m. and the lawyer leaves his house at 8:45 a.m. daily, he needs to arrive at the office before 9:00 a.m. to be on time. We can find the percentage of the time he is late for work by finding the area under the normal distribution curve to the right of 15 minutes (the difference between 8:45 a.m. and 9:00 a.m.), and then subtracting that value from 1 to get the percentage of the time he is on time or early.

z = (15 - 24) / 3.8 = -2.37

Using a standard normal distribution table or a calculator with a normal distribution function, we can find the probability that he is late for work is approximately 0.008 or 0.8%. Therefore, he is on time or early approximately 99.2% of the time.

Answer:

7234.56 \(cm^{3}\)

Step-by-step explanation:

The formula for the volume of a sphere is \(\frac{4}{3} \pi r^{3}\) where r is the radius. Since \(\pi\) is irrational (whose digits goes on forever without repeating), we can write it using the first three numbers: 3.14. Then, substiute 12 for r and 3.14 for \(\pi\) into the formula, and you’ll get 7234.56. Finally, add the \(cm^{3}\) part to it to get the answer: 7234.56 \(cm^{3}\)

Hope this helps! :)

The correct answer for the given questions is 26.82 km and 780.372 km respectively.

4. To find the distance between the ship and the buoy at the time of each sighting, we can use the principle of non-collinearity of the ship, buoy, and observer.

Let x be the distance between the ship and the buoy at the time of the first sighting and y be the distance between the ship and the buoy at the time of the second sighting.

The angle of bearing from the ship to the buoy is S46°E, which is equivalent to (180 - 46) = 134° from the North.

The angle of bearing from the ship to the buoy at the second sighting is S12°E, which is equivalent to (180 - 12) = 168° from the North.

Therefore, the angle between the two lines of bearing is 168 - 134 = 34°.

Thus, 15/x= tan 34°

=> x= 15/tan 34°

=>x= 22.28 m

And, 15/y= sin 34°

=> y= 15/sin 34°

=> y= 26.82 km

5. To find the direct distance from the helicopter to the landing port, we can use the tangent function.

Let d be the direct distance from the helicopter to the landing port.

The angle of depression is 64°, and the altitude of the helicopter is 1600 meters.

tan(64) = 1600/d

d = 1600 / tan(64) = 780.372 km

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Answer:

No, the cross products to not equal

Step-by-step explanation:

\(\frac{12}{8}\) = \(\frac{2}{1}\)

12(1) = 8(2)

12 \(\neq\) 16

Or make them both into decimals

12/8 = 1.5

\(\frac{2}{1}\) = 2  They do not equal each other.

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

b 20

Step-by-step explanation:

16+24/8-6

16+24=40

40/8-6

8-6=2

40/2

40/2=20

There are 720 possible dinner specials.

To calculate the number of dinner specials, we need to multiply the number of options for each course.

The number of dinner specials is the product of the number of options for each course:

So,

3 x 3 x 4 x 5 x 4 = 720 possibilities

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Answer:

$1.26 per ounce

5 jars=$50.40

Step-by-step explanation:

$10.08/8 ounces=$1.26 per ounce

$10.08/jar x 5 jars=$50.40

The sample of 25 people interviewed by the sportswriter is not a Random sample. The correct answer is Option C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.  

In statistics, sampling is the process of selecting a subset of individuals or units from a larger population to estimate or infer information about the population.

A random sample is a subset of individuals or units from a larger population that is selected in a way that every member of the population has an equal chance of being selected. In other words, a random sample is unbiased and represents the population as a whole.

In the given scenario, the sportswriter interviews the first 25 people who enter the stadium before a game in Columbus, Ohio to determine how strongly Columbus residents support building a new stadium for the local minor league baseball team.

Now, the question is whether this sample is a random sample or not.

The answer is "No, because not all residents of Columbus, Ohio have an equal chance of being selected," which is option C.

The reason is that the sportswriter only interviews the first 25 people who enter the stadium before the game. This means that the sample is not selected randomly from the entire population of Columbus residents, but only from the people who happened to be at the stadium at that particular time.

Moreover, people who attend minor league baseball games may not be representative of the entire population of Columbus residents. For example, people who attend baseball games may be more likely to support building a new stadium than those who do not attend such games.

Therefore, the sample of 25 people interviewed by the sportswriter is not a random sample and may not be representative of the entire population of Columbus, Ohio. The results of the survey based on this sample may not accurately reflect the opinions of all Columbus residents.

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Complete Question

A sportswriter wants to know how strongly Columbus, Ohio residents support building a new stadium for the local minor league baseball team. She stands outside the stadium before a game and interviews the first 25 people who enter the stadium. Is this a random sample?

A. Yes, because it gives very accurate results.

B. Yes, because all fans had a chance to be asked.

C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.

D. No, because the sample size is not right.

Answer:

The sine equation is given below as

From the graph, The highest point on the crest is

The lowest point of the trough is

Hence,

The amplitude will be

From the image also, the period T, is

There is no hrizontal shift,

Hence,

The value of C is

The vertical shift D, will be

Hence,

The model of the sine function is given below as

To figure out the depth at t=4hours, we will have substitue x=4 in the equation above

Hence,

The depth of the water at 4 hours is = 5.462m

To figure out the depth at t= 30 hours, we will have to substitute the value of x=30 in the equation above

Hence,

The depth of the water at 30 hours is = 0.835m

Answer:

90 degrees

Step-by-step explanation:

see image

make x A

y B

z C

AB=3 (given)

AC=9 (given)

measure of angel B or y, is 90

if

x= A

y= C

z= B

then the hypotenuse would be shorter than one of the legs

3<9

so B has to be the right angle (90 degrees)

Answer:

the answer is 1.88 using cosine =adj/hyp

The above pic is your answer mate.

Answer:

I think 1/6

Step-by-step explanation:

A die has 6 sides so every side has 1/6 chance to land on

Answer:

4/12

Step-by-step explanation:

L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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Answer:

y = 4x + 4

Step-by-step explanation:

If this equation is parallel to y = 4x + 2, that means it would have the same gradient. And since the y-intercept is stated, you just need to put it next to the gradient

Answer:

Step-by-step explanation:

Given the modeled function of the height expressed as;

h(t)=-16t^2+64t+80

The ball hits the ground when h(t) = 0 (when the height is zero)

Substitute into the function and find t;

0 =-16t^2+64t+80

divide through by -16

0 = t²-4t-5

Factorize;

t²-4t-5 = 0

t²-5t+t-5 = 0

t(t-5)+1(t-5) = 0

(t+1)(t-5) = 0

t + 1 = 0 and t-5 = 0

t = -1 and t = 5

Time can't be negative

Hence it will take the ball 5secs before it hits the ground

The measure of angle BCD is 62 degrees.

When a transversal intersects two parallel lines, alternate interior angles are congruent.

This is given by the Alternate Interior Angles Theorem. Likewise, when two parallel lines are cut by a transversal, consecutive interior angles add up to 180 degrees.

This is given by the Consecutive Interior Angles Theorem.

In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines.

The measure of angle ABC is 118°, and the measure of DAB is 132.

Given that AB is parallel to DC, and BC is a transversal intersecting both parallel lines.

The measure of angle ABC is 118°, and the measure of DAB is 132.

We need to find the measure of angle BCD.

By the Consecutive Interior Angles Theorem, we know that angle BCD + angle ABC = 180 degrees

Therefore, angle BCD = 180 - angle ABC angle BCD = 180 - 118angle BCD = 62 degrees

Therefore, the measure of angle BCD is 62 degrees.

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