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elixir [45]
2 years ago
9

Claire boarded an airplane in Richmond va and flew 414 miles directly to Charleston sc. The total flight time was 3/4 hour. How

fast did Claire's airplane in miles per hour?
Mathematics
2 answers:
Fantom [35]2 years ago
7 0
Distance = rate times time.

414= .75x

414/.75

552 miles per hour
IRINA_888 [86]2 years ago
6 0

Answer: 552 mph

Step-by-step explanation:

The formula to find speed is given by :-

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

Given : Claire boarded an airplane in Richmond va and flew 414 miles directly to Charleston sc.

Distance = 414 miles.

The total flight time was \dfrac{3}{4} hour.

Then, the speed of Claire's airplane= \dfrac{414}{\dfrac{3}{4}}

=414\times\dfrac{4}{3}=552\text{ mph.}

Hence, the speed of Claire's airplane= 552 mph.

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Find the geometric mean of 16 and 25. Round your answer to the nearest tenth
romanna [79]

Answer:

20

Step-by-step explanation:

5 0
2 years ago
Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.
nadya68 [22]

Answer:

The answer would be A. 55.

Step-by-step explanation:

For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.

For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.

5 0
1 year ago
It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. a random sample of 25 customer
NikAS [45]

Let x be the discrete random variable whose value is the number of successes in n trials.

The probability distribution function for x of the binomial distribution B(n,p) is defined as

B(n,p)= nC_xp^x(1-p)^{n-x}

Given that the random sample size is n=25

let x represent number of customers who purchase running shoes

Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.

It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.

Thus p=\frac{70}{100}=0.7

Thus the Probability distribution of x is given by

P(X=x)= 25C_x(0.7)^x(1-0.7)^{25-x}, where x=0,1,2,3,...,25.

8 0
1 year ago
A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

Z_{1-\alpha /2}= Z_{0.95}= 1.645

[10.41±1.645*(\frac{3.71}{\sqrt{28} } )]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

7 0
2 years ago
To solve -9 - 16m = 7, what steps would you use?
Ne4ueva [31]

First your going to add 9 to both sides.

-9-16m=7  --->  16m=16

then you just divide them. so m should equal 1


7 0
1 year ago
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