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AVprozaik [17]
3 years ago
6

Write a formula that converts x hours to y minutes

Mathematics
2 answers:
kykrilka [37]3 years ago
6 0
Formula:
y = 60x

1 hour = 60 minutes
Nikitich [7]3 years ago
4 0

Answer:

x\text{ hours}\cdot\frac{60\text{ minutes}}{\text{Hour}}=y\text{ minutes}

Step-by-step explanation:

We are asked to write a formula that converts x hours to y minutes.

We know that 1 hour equals 60 minutes.

\text{Number of hours}\cdot\frac{60\text{ minutes}}{\text{Hour}}=\text{Number of minutes}

Substitute the given values:

x\text{ hours}\cdot\frac{60\text{ minutes}}{\text{Hour}}=y\text{ minutes}

Therefore, the formula x\text{ hours}\cdot\frac{60\text{ minutes}}{\text{Hour}}=y\text{ minutes} can be used to convert x hours to y minutes.

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A football team gained 10 yards on one play and then lost 22 yards on the next. What was the overall change in field position.
grandymaker [24]

Answer:12 yards

Step-by-step explanation: 22-10=12

4 0
3 years ago
In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability tha
zimovet [89]

Answer:

a) The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

b) P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

c) 1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

d) P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

e) P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

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=50, p=0.4)

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!}

Part a

The expected value is given by:

E(X) = np = 50*0.4 = 20

and the variance is given by:

Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12

Part b

For this case we want to find this probability:

P(X>25)= 1-P(X\leq 25)

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

P(X>25)= 1-P(X\leq 25)=0.0573

Part c

1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

X \sim N(\mu = 20 , \sigma= 3.464)

Part d

We want this probability:

P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z

Part e

For this case we use the continuity correction and we have this:

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)

P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z

4 0
3 years ago
Let v =LeftAngleBracket 8, negative 1 RightAngleBracket. What is the approximate direction angle of v?
kirill [66]

Answer:

353

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the 97th term of the arithmetic sequence
kozerog [31]
<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1  = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, a_{n}  = a_{1} + (n - 1) d

Substituting the values in the above equation, we get

a_{97}  = 25 + (97 - 1) 4

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0
2 years ago
Hiiiijengniuenfhvnaefnhvadf
Aloiza [94]

Answer:

hiiiiieykfddhmlsaafjmxa

3 0
2 years ago
Read 2 more answers
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