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Mariulka [41]
3 years ago
9

Roberto can read 4 pages in 6 minutes casey can read 6 pages in 9 minutes.Is roberto’s ratio of pages to minutes equivalent to C

asey’s ratio of pages to minutes?
Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

Roberto 4:6 = 2:3

divisor 2. 4/2=2  6/2=3

Casey 6:9 = 2:3

divisor 3

6/3=2   9/3=3

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The probability that a vehicle will change lanes while making a turn is 45%. Suppose a random sample of 7 vehicles are observed
Ksenya-84 [330]

Answer:

0.1529

Step-by-step explanation:

Given that:

Probability of changing lane ; p = 45% = 0.45

Sample size (number of trials) = n = 7

Probability that atleast 5 vehicles will change lane :

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

(1 - p) = 1 - 0.45 = 0.55

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x = 5) = 7C5 * 0.45^5 * 0.55^2

P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221

P(x = 6) = 7C6 * 0.45^6 * 0.55^1

P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969

P(x = 7) = 7C7 * 0.45^7 * 0.55^0

P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736

P(x ≥ 5) = 0.152926

P(x ≥ 5) = 0.1529

6 0
3 years ago
Please need help on this one
____ [38]

Answer:

x = 0.

Step-by-step explanation:

5x - 15 = 5(-4x - 3)

5x - 15 = -20x - 15

25x = 0

x = 0.

5 0
4 years ago
What percent of 28 is 21
ss7ja [257]
If we take 28 to be the 100%, what  is 21 off of it?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
28&100\\
21&p
\end{array}\implies \cfrac{28}{21}=\cfrac{100}{p}\implies p=\cfrac{21\cdot 100}{28}
5 0
4 years ago
Read 2 more answers
Which triangle is ABC similar to ?
photoshop1234 [79]

Answer:

Triangle ABC is similar to triangle ADE.

8 0
3 years ago
Soft-drink cans are filled by an automated filling machine. The mean fill volume is 12.1 fluid ounces, and the standard deviatio
erastovalidia [21]

Answer:

Probability is 0.97725

Step-by-step explanation:

Given: Mean volume =12.1 ounces  ,standard deviation=0.05

  and 10 volumes are selected i.e no of observation or samples.

To find : calculate probability for fluid  less than the 12 ounces.i.e P(X<12) with normal distribution probability .

Solution:

Given that data is independent normal random variables , which depends upon mean ,variance and the Standard Z-score .

Hence we have ,

Mean=12.1

Variance =square of (standard deviation).

Normal distribution is given by ,

N(mean,variance)

As there are 10 cans with mean 12.1 and variance=(0.05)^2=0.025.

Normal distribution probability is given by sum of independent normal random variables.

Using the notation as P(X-Y>0)

I.e. P(X>Y)

finding the probability of X greater than Y i.e.(12.1>12) ounces .

with same standard deviation we get,

X-Y    ⇒N(12.1-12,0.0025)⇒N(0.1,0.0025).

=P(X-Y)

=P(X-Y>0)

=P(Z>\frac{(0-0.1)}{\sqrt{0.0025} })

=P(Z>-2)

=P(Z<2).

=0.97725.

Using the Z- table refer the normal probability Z-table.

7 0
3 years ago
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