When peanuts are packaged in their shells, most shells have two peanuts inside, but some have three and some only have one. A quality control inspector wants to determine if more than 10% of all shells contain just one peanut. If the inspector were to conduct a hypothesis test for p, the proportion of shells with just one peanut, what would be the appropriate pair of hypotheses for the inspector to use

Answer:

Tree 3

Step-by-step explanation:

The equation for the height of tree 1 is given as:

h = 3.5m

The equation for the height of tree 2 is gotten using the points from the table (2,5) and (4, 10)

Hence:

\(h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-5=\frac{10-5}{4-2} (m-2)\\\\h-5=2.5m-5\\\\h=2.5m \\\)

From the graph of tree 3, we get the points (2,4) and (4, 8)

Hence:

\(h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-4=\frac{8-4}{4-2} (m-2)\\\\h-4=2m-4\\\\h=2m \\\)

Therefore tree 3 grows the slowest

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

C

Step-by-step explanation:

f(x) = √x - 5

domain: [0. ∞)

range: [-5, ∞)

Let y = √x - 5

√x = y+5

x = (y+5)²

Switch x and y:

y = (x+5)²

f⁻¹(x) = (x+5)²

domain of f⁻¹(x) is the range of f(x):  [-5,∞)

The depreciable cost,

$1,800,000

The straight-line rate,

5%

The annual straight-line depreciation,

90,000

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

If a building acquired the beginning of the year at a cost of 2,200,000 has an estimated residual value of 400,000 and an estimated useful life of 20 years.

The depreciable cost,

= cost - residual value

= 2,200,000 - 400,000

= $1,800,000

The straight-line rate,

=100/20

= 5%

The annual straight-line depreciation,

= 1,800,000 x 5/100

= 90,000

Therefore, all the required values are given above.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Crew neck is the most popular, so she should probably order that

Step-by-step explanation:

Answer:

Crew Neck t-shirts are most efficient

Answer:

easy math Girls=24 Boys=? The answer is 18 boys

Step-by-step explanation: What you know is for every 8 girls that is 1/3 of the total number of girls, so you just multiply 6 time 3. Hope this helped :)

The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

Answer:

I might be able to help what do you need to know

Answer:

600 nickels

Step-by-step explanation:

Answer:

5 ≥ p

Step-by-step explanation:

Add 5 to both sides:

0 ≥ p - 5

+5      + 5

________

5 ≥ p

Answer:

p <= 5

Step-by-step explanation:

Let's solve your inequality step-by-step.

0≥p−5

Step 1: Flip the equation.

p−5≤0

Step 2: Add 5 to both sides.

p−5+5≤0+5

p≤5

Answer:

p≤5

Answer:

You could use rate reasoning because, one day is 405 miles traveled. It is  3,272 miles from Sacramento to Key West, and when you use rate reasoning, you can tell that it will take about 8 days from Sacramento to Key West (3 more days if your counting the 5 days that they have already traveled)

Hope this helps

Answer:

32

_____

         \(\left|-3\left(2\right)-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\\left|-3\cdot \:2-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-3 \cdot 2 - 5 = -11\\\left|-11\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-1 - 2^2 = -1 - 4 = -5\\\left|-11\right|+\left|-5\right|+2\cdot \:2^3\\|-11| = 11\\|-5| = 5\\2 \cdot 2^3 = 2 \cdot 8 = 16\\11+5+16\\=32\)

_____

Solution

For this case we can do the following:

And then if we multiply we got:

The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

Answer:

the answer is 4

Answer:

s

Step-by-step explanation:

s

Answer:

Correct option is

C

2  

n

−1

Given that f(n+1)=2f(n)+1,n≥1.  

Therefore, f(2)=2f(1)+1

Since f(1)=1, we have

f(2)=2f(1)+1=2(1)+1=3=2  

2

−1.

Similarly f(3)=2f(2)+1=2(3)+1=7=2  

3

−1

and so on....

In general, f(n)=2  

n

−1

Was this answer helpful?Correct option is

C

2  

n

−1

Given that f(n+1)=2f(n)+1,n≥1.  

Therefore, f(2)=2f(1)+1

Since f(1)=1, we have

f(2)=2f(1)+1=2(1)+1=3=2  

2

−1.

Similarly f(3)=2f(2)+1=2(3)+1=7=2  

3

−1

and so on....

In general, f(n)=2  

n

−1

Was this answer helpful?

Step-by-step explanation:

Answer: 4.8%

Step-by-step explanation: the total amount of pens in the drawer is (10+12+3)  = 25

the amount of red pens in the drawer is 3

the probability of picking out a red pen from the drawer = 3/25

the amount of blue pens in the drawer is 10

the probability of picking out a red pen from the drawer = 10/25

the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%

The question given above will require a good understanding of surd operation in order to arrive at the best answer. Thus, the answer to the question is:

\(\frac{7\sqrt{14} }{\sqrt{7}} = 7\sqrt{2}\)

To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:

\(\frac{7\sqrt{14}}{\sqrt{7}}\\\\Rationalise\\\\\frac{7\sqrt{14}}{\sqrt{7}} * \frac{\sqrt{7} }{\sqrt{7}}\\\\\frac{7\sqrt{14*7}}{\sqrt{7*7}}\\\\\frac{7\sqrt{98}}{\sqrt{49}}\\\\\frac{7\sqrt{98}}{7}\\\\\sqrt{98}\\\\\sqrt{98} = \sqrt{49*2} \\\sqrt{98} = \sqrt{49} * \sqrt{2} \\\sqrt{98} = 7\sqrt{2} \\\\Thus, \\\\\frac{7\sqrt{14}}{\sqrt{7}} = 7\sqrt{2}\)

Therefore, from the calculations made above, the solution to the question is  7√2

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The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

Answer:

16

Step-by-step explanation:

16 is an even number not 27 35 49

Answer:

\(16 \: \: \: \: \: ofcourse\)

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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The picture below is the inequality graphed + the steps to solving the equation.

Feel free to send me a message if additional help is needed.

Step-by-step explanation:

I added a photo of my graph

Answer:

p=60 and k=120

Step-by-step explanation:

So, with supplementary angles, there is a max of 180 degrees (because it is half of a circle.) With this information, we can make an equation. Let's make it.

If the measure of k is twice of p, then k=2p

Equation= 2p+p=180

Now let's isolate p and find out what it is!

2p+p=3p so...

3p=180

Now let's divide 3 on both sides.

That would equal...

p=60

That means p=60 for sure. However, since k is twice of p, we need to double p to find out what k is.

60 x 2=120

Final answer= p=60      k=120

Hope this helped!! If you have any questions, make sure to write them in the comments!

Answer:

k = 120

p = 60

Step-by-step explanation:

k = p2

p+p2 = 180

p3 = 180

p3/3 180/3

p = 60

k = 60 × 2

k = 120