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postnew [5]
2 years ago
7

((454 x 344)/4) + 4854 Solve order of operations

Mathematics
1 answer:
slava [35]2 years ago
7 0

Answer:

43,898

Step-by-step explanation:

1. 454 x 344 = 156,176

2. 156,176 / 4 = 39,044

3. 39,044 + 4,854 = 43,898

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
Mike is making macaroni salad. For each bowl of macaroni salad, he needs 1/3 cup of macaroni. How many cups of macaroni will he
Dahasolnce [82]

Answer: 9

Step-by-step explanation:

27÷3=9 if you need one third cup per bowl then you need to divide the number of the bowls by three

6 0
2 years ago
Read 2 more answers
Find the area of a circle with diameter 10cm use the value 3.14
mafiozo [28]

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

3 0
3 years ago
Read 2 more answers
92x 29 = <br><br> Using box method
melamori03 [73]
92
29
———
first times 9 by 2 then 9 by 9
then add a 0 for the second colum as a place holder then 2 times 2 and 9 times 2 add the two colums together

8 0
2 years ago
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According to an on-line dating website, 20% of the couples who are in committed relationships met on-line. Suppose you know 15 c
tester [92]
15/x = 20/100
15*100 = 20*x
1500 = 20x
1500/20 = 20x/20
75 = x

15/75 = 20/100

the expected number of couples who met online is 75
4 0
3 years ago
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