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tamaranim1 [39]
3 years ago
8

The distance covered by a car is directly proportional to the time taken. The car covers 91km in 3.5hours. how far does it cover

in 2.5 hours????? And if it travels 110.5km how long has it been travelling ?????
Mathematics
2 answers:
Leokris [45]3 years ago
8 0
Divide 91 by 3.5 that will give how many km per hour
juin [17]3 years ago
5 0
91 / 3.5 = 26 km per hour.
2.5 * 26 = 65 km
110.5 / 26 = 4.25 hours

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In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea
EastWind [94]

Answer:

125

Step-by-step explanation:

600=150+225+100+X=475+X

600-475=125=X

X=125

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2 years ago
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Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each
arlik [135]

Answer:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want to find this probability:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

5 0
3 years ago
Find the 84th term of the arithmetic sequence -5,15,35, ...
pav-90 [236]

Answer:

The 84th term of the arithmetic sequence -5,15,35, ... is 1675.

Step-by-step explanation:

The arithmetic sequence -5,15,35, ... increases by 20 per term. Add 20 to the prior term to find the new term. Do this 83 times from -5, and you reach 1675.

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Which expression is equivalent to m² - 13m - 30?​
igor_vitrenko [27]

Answer:

(m−15)(m+2)

Step-by-step explanation:

m² - 13m - 30?

Formula :

{x}^{2} +bx+c

(m−15)(m+2)

<h3>Hope it is helpful...</h3>
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iVinArrow [24]

Answer:

87 degree

Step-by-step explanation:

interior angle is 180

So 56+37 = 93

180-93 = 87

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3 years ago
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