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disa [49]
2 years ago
14

paloma eats 2/8 of an apple in the morning and 3/8 more in the afternoon. how much of an apple did she eat in total

Mathematics
1 answer:
marishachu [46]2 years ago
6 0

Step-by-step explanation:

in this problem, we are solving for the amount of apple that Paloma eats

1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find  

  that remainder

2. she also ate 3/8 of the remainder for lunch

3. we then proceed to calculate all apple she ate in total

1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4}  = \frac{3}{4}

2 she ate 3/8 of the remaining 3/4 apple

1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}

3. in  total she ate 1/4+ 9/32

\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}

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The average weight of a chicken egg is 2.25 ounces with a standard deviation of 0.2 ounces. You take a random sample of a dozen
n200080 [17]

Answer:

P(\bar X

P(\bar X

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".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(2.25,\frac{0.2}{\sqrt{12}})

Solution to the problem

We want this probability:

P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X

P(\bar X

5 0
2 years ago
When x is 2, y is 4, p is 0.5, and m is 2. If x varies directly with the product of p and m and inversely with y, which equation
Marianna [84]
X = kpm/y   where k is a constant

x=2,y=4,p=0.5, m=2 so:-

2 = k*0.5*2 / 4

2 =  0.25k
k = 2/0.25 = 8

required equation is x = 8pm/y
8 0
2 years ago
Use the expression (a+b)(c-d)+9e(a+b)(c−d)+9eleft parenthesis, a, plus, b, right parenthesis, left parenthesis, c, minus, d, rig
jek_recluse [69]

Answer:

Difference: ¨c-d¨ variable: ¨a¨ coefficient: ¨9¨

Step-by-step explanation:

Just trust me bro

8 0
2 years ago
Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
denis-greek [22]

Answer:

Option A.

Step-by-step explanation:

Clarissa needs a $2,500 loan in order to buy a car.

There are 4 options of loan we will calculate all the options that pay the least amount of interest.

To calculate the interest we will use this formula :

\frac{P\times R\times time}{100}

Where P = Principal amount

R = rate of interest

T = time in years

A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

\frac{2500\times 4.75\times 1.5}{100}

= $178.125

B) Principal 2,500 interest 4% and time 30 months (2.5 years)

\frac{2500\times 4\times 2.5}{100}

= $250

C) Principal 2,500 interest 4.25% and time 24 months (2 years)

\frac{2500\times 4.25\times 2}{100}

= $212.50

D) Principal 2,500 interest 4.50% and time 36 months (3 years)

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The least amount of interest would be in option A.

5 0
2 years ago
A web page design firm has two designs for an online hardware store. To determine which is the more effective design, the firm u
tatyana61 [14]

Answer:

Explanatory variable : web page design

Response variables : Visitor's rating and amount of time visiting the site.

Kindly check explanation for the rest.

Step-by-step explanation:

The explanatory variable simply means the independent or predictor variable which is used to bring about a change in the dependent or predicted variable. The explanatory variable in the scenario above is the web page design which is used to measure the behavior and changes in the response variable which are the rating given by visitors and the number of visits on each of the two different web page designs available (explanatory variable).

The confounding factor which may affect the study is the different area assigned to test the effectiveness of each page ; designating one page for the Oakland area and the other for Miami. User preferences for each area may itself mask the actual outcome of the experiment.

4 0
2 years ago
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