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insens350 [35]
2 years ago
7

Adrianna bought 4 spiral notebooks that cost

Mathematics
1 answer:
love history [14]2 years ago
8 0

Answer:

$5.46

Step-by-step explanation:

Find out how much she had to pay by multiplying the amount she got by the cost and adding the two totals together.

4*2.49=9.96

2*2.29=4.58

4.58+9.96=14.54

Subtract to find change

20-14.54=5.46

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The difference between two integers is at most 16. the smaller integer is 12. what is the larger integer
emmainna [20.7K]
<span>The difference between two integers is at most 16
x1 - big integer
x2- small integer
x_1 -x_2  \leq 16

</span><span>the smaller integer is 12
so
x2 = 12

substitution
</span>
<span>x_1 -12  \leq 16

solve for x1

however, note the fact larger
thus meaning
x1 > x2 applies to this problem
</span>
3 0
3 years ago
The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read
stira [4]
The mean of the answer is 20.5 because you add all of the number together and divide by 6 because there's 6 numbers. 
I'm sorry, but I don't know how to do the standard deviation... 
Hope this helped!
4 0
3 years ago
20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

Binomial probability 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.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

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

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

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

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

8 0
3 years ago
Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?
Lorico [155]

Answer:

  • Asafa ran at a faster rate

Step-by-step explanation:

<u>Asafa's speed:</u>

  • 0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

<u>Jemaine's speed:</u>

  • 3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

5 0
3 years ago
What is the volume of this rectangular prism?<br> 10/3 <br> 4/5<br> 1/5
Lunna [17]

Answer:

.53

Step-by-step explanation:

7 0
3 years ago
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