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fredd [130]
2 years ago
9

molly is designing a new drone for the air force. the drone is supposed to be 30 feet long and 4 feet tall. she is building a pr

ototype for testing that will be 12 feet long. how tall should the prototype be?
Mathematics
2 answers:
nata0808 [166]2 years ago
8 0
First you set up your ratio: Length to height.
The Drone is 30/4 which can be equivalent to 7.5.
The prototype is 12/x which can be equivalent to 7.5 as well. Re-write your equation to solve for x.
x*7.5 = 12 ---> x=12/7.5. =  1.6. Now plug in 1.6 as x to test your equation so you get an answer of 7.5: 12/1.6 = 7.5. 
So, the prototype for testing should be 12 feet long and 1.6 feet (19.2 inches) high.
Sholpan [36]2 years ago
7 0
19.2 i think tell me if i'm right gl
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ANSWER


The correct option is,
k(x - 2)(x - 7) = 0

EXPLANATION

We were given that the solutions of the quadratic equation are
x = 2
and
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This tells us that,

x - 2

and
x - 7

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This implies that the quadratic equation is of the form,

(x - 2)(x - 7) = 0

We were also told that

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This means that we can use k to multiply the whole equation and the solution will not be affected.


Our equation now becomes,

k(x - 2)(x - 7) = 0


Hence the correct answer is A.
5 0
2 years ago
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madreJ [45]

Answer:

E= 6.45

standard deviation is σ = 15,

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Step-by-step explanation:

Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.

General formula for the margin of error is

Margin of error = critical value  ×   standard error of statistic

                        = z \alpha /2  ×   σ √n

z-value from two tailed is listed below:

From the table of standard normal distribution, probability value of 0.10.

row and column values gives the area to the two tail of z.

The positive z value is 2.58.

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

after putting these vales we obtain the margin of error value that is

E= 6.45

7 0
2 years ago
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Answer:

Mean = 6.07

Median = 7

Mode = 7

Step-by-step explanation:

Given

Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9

n = 15

Solving (a): The mean

Mean is calculated as:

Mean = \frac{\sum x}{n}

This gives:

Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}

Mean = \frac{91}{15}

Mean = 6.07

Solving (b): The median

Sort the data in ascending order:

Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9

Sorted: 0\ 0\ 1\ 3\ 5\ 5\  6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12

The median is:

Median = \frac{n + 1}{2}th

Median = \frac{15 + 1}{2}th

Median = \frac{16}{2}th

Median = 8th    

The 8th item on the sorted dataset is 7; So:

Median = 7

Solving (c): The mode

Mode = 7

Because it has a frequency of 3 (more than any other element of the dataset).

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2 years ago
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sineoko [7]

Answer:

Volume of the hive is 4712.4 square inches.

Step-by-step explanation:

Since hive has the shape of a cone with radius = 15 inches and height = 20 inches

Therefore, volume of the given cone = \frac{1}{3}(\text{Area of the base})\times \text{height}

Area of the circular base = πr²

Area = π(15)²

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Volume of the cone = \frac{1}{3}(225\pi )\times{20}

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2 years ago
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