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ira [324]
3 years ago
13

The factory manufactured 666 more toy boats in June than in July. They manufactured 189 in July. How many toy boats did they man

ufacture in June?
Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

855

Step-by-step explanation:

You might be interested in
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
2 years ago
Write the equation....
BaLLatris [955]
1-0/-1-0 = -1
Y- 0 = -(x-0)
Y=-x
Y - 1 = -(x+1)
Y-1= -x-1
Y = -x
5 0
3 years ago
I need help, i don’t understand if
MakcuM [25]

Answer:

(6,6)

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6
otez555 [7]

Hey there!

2 - 4 * 6

= 2 - 24

= -22


Option A.
7 * (5 - 2) + 6

= 7 * 3 + 6

= 21 + 6

= 27

Option A. is incorrect


Option B.
5 + 2 * 7 + 6

= 5 + 14 + 6

= 19 + 6

= 25

Option B. is also incorrect


Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6

= 49 - 6

= 43

Option C. is also incorrect


Option D.

6 - 2 + (7 * 5)

= 6 - 2 + 35

= 4 + 35

= 39

Thus, it seems like NONE of the ABOVE is correct


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

7 0
2 years ago
Asriel says 2 times 2 is 4 Adrian says 2 times 3 is 6 Brittne says 2 times 5 is 4.Who is correct?​
amid [387]

Answer:

Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.

4 0
2 years ago
Read 2 more answers
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