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natima [27]
3 years ago
11

An airplane traveling 245 m/s east experiences turbulence, so the pilot slows down to 230 m/s. It takes the pilot 7 seconds to s

low down to this speed. What is the acceleration of the plane? Round your answer to the nearest hundredth.
2.14 m/s2
–2.14 m/s2
67.86 m/s2
–67.86 m/s2
Mathematics
2 answers:
sveta [45]3 years ago
6 0
I think the answer is B. -2.14 m/s2
kari74 [83]3 years ago
3 0

Answer:

Acceleration, a=-2.14\ m/s^2    

Step-by-step explanation:

Initial speed of the airplane, u = 245 m/s

Final speed of the airplane, v = 230 m/s

The pilot takes 7 seconds to slow down to this speed. Let a is the acceleration of the plane. The change in velocity per unit time is called the acceleration of an object. It can be calculated as :

a=\dfrac{v-u}{t}

a=\dfrac{230\ m/s-245\ m/s}{7\ s}

a=-2.14\ m/s^2

So, the acceleration of the plane is -2.14\ m/s^2. Hence, the correct option is (b).

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The amount of time it takes p people to paint d doors varies directly with the number of doors and inversely with the number of
yanalaym [24]

Answer:

4 people

Step-by-step explanation:

This problem is a compound rule of three problem. The variables are:

number of people, number of doors, amount of time

the amount of time increases if the number of doors decreases, but the amount of time decreases if the number of people increases.

We can solve this problem by parts (using two simple rule of three):

4 people can paint 10 doors in 2 hours

Let's first find how many people would take to paint 25 doors in 2 hours (we make the amount of hours constant, so the rule of three is between number of people and number of doors):

4 people -> 10 doors -> 2 hours

X people -> 25 doors -> 2 hours

4/X = 10/25

X = 25*4/10 = 100/10 = 10

It would take 10 people to paint 25 doors in 2 hours.

Now, we make a inverse rule of three between the number of people and amount of time:

10 people paint 25 doors in 2 hours, how many people paint 25 doors in 5 hours:

10 people -> 25 doors -> 2 hours

X people -> 25 doors -> 5 hours

10*2 = X*5

X = 20/5 = 4 people

4 0
3 years ago
Solve for x. I need help :,) thank you if you help!
natta225 [31]

Answer: if its a multiple of a 345 triangle then its congruent x is 36 if othersides ate multiples of 20 ie

Sides are

60 80 100 is a 345 right triangle

Step-by-step explanation:

5 0
3 years ago
Does anyone know how to solve this?<br><br> And please explain your answer
vodomira [7]

Step-by-step explanation:x/2 is the answer of your question

hope it is helpful to you

6 0
3 years ago
Read 2 more answers
A study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. Th
andrey2020 [161]

Answer:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923  

Step-by-step explanation:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

Data given and notation  

n_{M}=41 sample of male selected

n_{W}=56 sample of demale selected

p_{M}=0.57 represent the proportion of men who dislike anchovies

p_{WCB}=0.84 represent the proportion of women who dislike anchovies

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men is different from women  , the system of hypothesis would be:  

Null hypothesis:p_{M} = p_{W}  

Alternative hypothesis:p_{M} \neq p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{0.67+0.84}{2}=0.755

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923  

4 0
4 years ago
Solve for X<br><br> 4X-(9-3X)=8X-1
Nataliya [291]
4x - (9 - 3x) = 8x - 1

4x - (9) - -(3x) = 8x - 1

4x - 9 + 3x = 8x - 1

7x - 9  = 8x - 1        (-8x from each side)

-x - 9 = -1                (+9 to each)

-x = 8                     (divide -1 from each side)

x = -8
7 0
3 years ago
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