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Answer:

The speed of the aircraft is 126.667 miles per hour.

Step-by-step explanation:

Let suppose that aircraft travels at constant speed. From Mechanical Physics, we understand speed as travelled distance divided by time. In this case, the absolute speed of the aircraft is the sum of wind speed and speed of the aircraft relative to wind. That is:

Tailwind (Wind flows in the same direction of aircraft)

[tex]t = \frac{s_{T}}{v_{W,T}+v_{A/W,T}}[/tex] (Eq. 1)

Headwind (Wind flow in the direction opposite to aircraft)

[tex]t = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 2)

Where:

[tex]s_{T}[/tex], [tex]s_{H}[/tex] - Travelled distances on tailwind and headwind conditions, measured in meters.

[tex]v_{W,T}[/tex], [tex]v_{W,H}[/tex] - Tailwind and headwind speeds, measured in meters per second.

[tex]v_{A/W,T}[/tex], [tex]v_{A/W,H}[/tex] - Relative speeds of aircraft relative to tailwind and headwind, measured in meters per second.

We proceed to equalize both expressions to eliminate time:

[tex]\frac{s_{T}}{v_{W,T}+v_{A/W,T}} = \frac{s_{H}}{v_{W,H}+v_{A/W,H}}[/tex] (Eq. 3)

If we know that [tex]s_{T} = 360\,mi[/tex], [tex]s_{H} = 300\,mi[/tex], [tex]v_{W,T} = 10\,\frac{mi}{h}[/tex], [tex]v_{W,H} = -10\,\frac{mi}{h}[/tex] and [tex]v_{A/W,T} = v_{A/W,H}[/tex], then:

[tex]\frac{360}{v+10} = \frac{300}{v-10}[/tex]

The relative speed of the aircraft is now cleared:

[tex]360\cdot (v-10)=300\cdot (v+10)[/tex]

[tex]360\cdot v-3600 = 300\cdot v +3000[/tex]

[tex]60\cdot v = 7600[/tex]

[tex]v = 126.667\,\frac{mi}{h}[/tex]

The speed of the aircraft is 126.667 miles per hour.

Answer:

The correct result would be 3/4 of a pound of dried fruit.

Answer:

1.     = 5

2.     = -7

3.   = -4

Answer:

perimeter: 8x + 3 + 8x + 3 + 5 + 5=16x + 16

Area: 5(8x+3)=40x+15

Answer:

I'm pretty sure it's a.....

The answer is A

Step-by-step explanation:

common sense

Answer:

60

Step-by-step explanation:

Answer

24/55 as a fraction

The solution of the given equation is 24/55

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

The equation is,

8/10  ÷ 1 5/6

Now,

Solve the expression as;

= 8/10 ÷ 1 5/6

= 8/10  ÷ 11/6

= 8/10 x 6/11

= 48/110

= 24/55

So, The solution of the given equation is 24/55.

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Answer:

-4/5

Step-by-step explanation:

Answer:

The answer is -4/5

Step-by-step explanation:

Hope this helps!:)

Answer:

i think its 16

Step-by-step explanation:

Answer:

16.0

Step-by-step explanation:

Nearest tenth place value is the digit directly to the right of the decimal point. Locate the tenth place value. It will be underlined and bolded:

15.968194227

Look at the number directly right of the given term. Note that:

If the digit is 5 or greater, round up.

If the digit is 4 or less, round down.

Since the digit is 6, round up.

15.968194227 rounded to the nearest tenth is 16.0

~

Answer:

200,000

Step-by-step explanation:

Answer:

none of the above ,,,,,,,

Answer:

13:2

Step-by-step explanation:

26 to 24 = 26/24 can further be simplified to 13/12

13/12 = 13:12

Plz mark as brainliest, I am close to expert.

Answer:

if bogey and murphy each get 3 treats and tucker gets 4 then the total is 3+3+4=10

Step-by-step explanation:

Jasmine starts with 10 treats.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

She gives 4 treats to Tucker.

Then splits the remaining treats between Bogey and Murphy, who get 3 treats each.

So, if bogey and murphy each get 3 treats and tucker gets 4 then

= 3+3+4

=10 treats

Hence, at beginning Jasmine starts with 10 treats.

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Answer:

1,440.

Step-by-step explanation:

39 is closer to 40.

1,400 is unchanged.

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

H₀: The variance of speeds does not exceeds 75 (mph)², i.e. σ² ≤ 75.

Hₐ: The variance of speeds exceeds 75 (mph)², i.e. σ² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

[tex]\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153[/tex]

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

[tex]\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}[/tex]

    [tex]=\frac{(55-1)\times 94.7}{75}\\\\=68.184[/tex]

The test statistic value is, 68.184.

Decision:

[tex]cal.\chi^{2}=68.184<\chi^{2}_{0.05,54}=72.153[/tex]

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

Answer:

multiply -12 first by 6 and then by 4

Answer:

Write and interpret symbols that depict the atomic number, mass number, and ... The amu was originally defined based on hydrogen, the lightest element, then later in terms of oxygen. ... The electron has a charge of 1− and is a much lighter particle with a mass of ... (b) the ion with 36 electrons, 35 protons, and 45 neutrons.

Step-by-step explanation:

Answer:

Well, You possibly did all the math depending on the question. But if it was subtraction that means there's one candy bar left

step-by-step explanation:

I hope this helped in any way!

Answer:4 and 35

Step-by-step explanation:

Am from the future

The extremes are 4 and 35.

The extremes are the values of the proportion that are furthest apart when written in ratio form using a colon. For example: In the proportion a : b = c : d, ‘a’ and ‘d’ are the extremes.

In general, four numbers are said to be in proportion, if the ratio of the first two quantities is equal to the ratio of the last two. In general, the symbol for representing a proportion is “: :”

(i) The numbers a, b, c and d are in proportional if the ratio of the first two quantities is equal to the ratio of the last two quantities, i.e., a : b : : c : d and is read as ‘a is to b is as c is to d’. The symbol ‘ : : ‘ stands for ‘is as’.

(ii) Each quantity in a proportion is called its term or its proportional.

(iii) In a proportion; the first and the last terms are called the extremes; whereas the second and the third terms are called the means.

If four numbers a, b, c and d are in proportional (i.e., a : b : : c : d), then a and d are known as extreme terms and b and c are called middle terms.

(v) The fourth term of a proportion is called fourth proportional.

Given:

4/7 = 20/35

Now, by the definition of extremes

the first and the last term is extremes

So, 4 and 35 are the extremes.

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Answer:

First two options correct

Step-by-step explanation:

I got it from answer key

Answer:

c is correct

Step-by-step explanation:

Brainly Crown Pls

Answer:

It can be a passing thought or a question that launches a full-on existential exploration. Having a sense of meaning and purpose in life is usually a positive motivator, at home and at work. But maybe the questioning itself is where life's true mission is found...

Step-by-step explanation:

Answer:

4 I think I could be wrong hahaha

Answer:

The answer is 513

Answer:545

Step-by-step explanation:

Answer:

12+6y=4x

Step-by-step explanation:

Answer:

y=2/3x−2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hope you don't need to summarize:) if so I will do it for you!

Answer:

The expected number of tests necessary for the entire group of 304 people is 180.0325

Step-by-step explanation:

Probability of person being positive = p = 0.04

Probability of person being negative = q = 1-0.04=0.96

Number of people in each group = 19

We will use binomial over here

Probability of no test positive :

[tex]P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958[/tex]

P( at least one tests positive) = 1-P( no one tests positive)= 1-0.460419201958= 0.539580798042

Expected number of tests for each group = 1(0.460419201958)+20(0.539580798042) = 11.2520351628

Number of groups =[tex]\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16[/tex]

Expected number of tests necessary for the entire group of 304 people:

=[tex]\text{Expected number of tests for each group} \times \text{No. of groups}[/tex]

=[tex]11.2520351628 \times 16[/tex]

=180.0325

Hence The expected number of tests necessary for the entire group of 304 people is 180.0325