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2 years ago

Malory rode her bicycle 54 miles in 4.5 hours , at the rate how far can she ride in 6 hours

2 answers:

5 0

You have to divide 54 by 4.5 to get the rate per hour then you times that by six and you get 72 so it would look like this
54/4.5=12*6= 72 so your answer would be 72

igomit [66]2 years ago

4 0

First, we divide 54 by 4.5 to find out how many miles she can ride in 1 hour, then multiply that to 6 to find how many miles she can ride in 6 hours. 54 / 4.5 = 12, and 12 x 6 = 72, so she can ride 72 miles in 6 hours. :)

You might be interested in

A photo album costs $10.49 before discount and tax.

Gemiola [76]

Answer:

Total after tax and discount is $7.78

Step-by-step explanation:

(10.49×0.3)= 3.15

10.49 - 3.15 = 7.34

(7.34×0.06)= 0.44

7.34 + 0.44 = 7.78

7 0

2 years ago

Enter an equation to represent the amount of moneys, in dollars, in Jack's account after w weeks, in simplest terms.

BigorU [14]

A = account
M = money
w = weeks

A = Mw

Hope this helps! Any questions let me know :)

6 0

2 years ago

Chen’s house is 53 years old. This is 5 more than twice the age of Sunny’s house, h.

tankabanditka [31]

Answer:

The Equation which shows the equality is 53 = 2 h + 5 ,

The age of Sunny's house is 24 years old

Step-by-step explanation:

Given as ;

The age of the house of Chen's is 53 years old

Let the age of of the house of sunny = h years old

So, according to question

Chen's house age is 5 years more than twice the age of sunny's house

I.e Chen's house age = 2 × sunny's house age + 5

Or, 53 = 2 × h + 5

or, 2 × h = 53 - 5

so . 2 × h = 48

∴ h = $\frac{48}{2}$ = 24 years

Hence The Equation which shows the equality is 53 = 2 h + 5 , And The age of Sunny's house is 24 years old . Answer

5 0

3 years ago

An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a bin

Advocard [28]

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

$\mu = np$

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that $p = \frac{1}{2500} = 0.0004$

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is $P(X = 4)$ when $n = 7000$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558$

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

$\mu = np = 7000*0.0004 = 2.8$ . So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557$

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

6 0

2 years ago

Which number should each side of the equation 4/5x=8 be multiplied by too produce the equivalent equation of x= 10

Mariulka [41]

5/4 because 4/5x * 5/4 = x and 8 * 5/4 = 10

5 0

2 years ago