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cestrela7 [59]
2 years ago
15

DaVonne and Tom picked up candy off from the ground when a pinata was broken. DaVonne had 2 more pieces than three times the amo

unt of candy than that of Tom. What is the minimum number of candy pieces that DaVonne has if there are at least 38 pieces of candy among both DaVonne and Tom?
Mathematics
1 answer:
Semmy [17]2 years ago
8 0

Answer:

its 9

Step-by-step explanation:

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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
How to solve 3(4y+2)
weeeeeb [17]

Answer:

12y+6

Step-by-step explanation:

You have to use the distributive property and do 3 x 4y and 3 x 2 and you get 12y+6.

3 0
2 years ago
△QRS is rotated about point P to △Q′R′S′ .
Sedbober [7]

Answer:

As Given △QRS is rotated about point P to △Q′R′S′ .

As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.

Out of the options given

→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.

→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.

are true.



4 0
3 years ago
I need help :(( I need to divide then put it in simplest form
ValentinkaMS [17]

2*3/8

whenever dividing the second fraction flips

2*3/8

You can divide by 2 for 2 and 8

2/2=1

8/2=4

1/4*3

=3/4

Answer is 3/4

7 0
3 years ago
Read 2 more answers
Can anyone help me with this algebra problem ?
Ann [662]
The top right one is not a function
7 0
2 years ago
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