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kogti [31]
2 years ago
15

Nina had 9 apples to share with 5 of her friends. If all 6 people get equal share , how many apples will each person get? How do

u know?
Mathematics
2 answers:
Umnica [9.8K]2 years ago
7 0
<span> Nina + her 5 friends = 6 people
Then she has 9 apple to share with her and her friends.
Let’s calculate how many apple will each people get when they equally divide it with each other:
=> 9 – 6 = 3
Thus already have 1 apple each, now, let’s divide the remaining 3 apples
=> 3 / 6 = .5
So they have half of apple each. Let’s add
=> 1 + .5 = 1.5
Each person will get 1.5 apple.
=> 1.5 * 6 = 9</span>



Brilliant_brown [7]2 years ago
6 0
If you would like to know how many apples will each person get, you can calculate this using the following steps:

5 friends + Nina = 5 + 1 = 6
9 apples / 6 people = 9 / 6 = 3/2 = 1.5 apples

Result: Each person will get 1.5 apples.
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We have to identify the statement about the plane which is not true.

1. Consider the first statement,

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2. Consider the second statement,

"The surface of a plane is made up of points". It is true as plane is a flat surface which is made up of points.

3. Consider the third statement,

"A plane can be seen". It is not true as plane is a flat surface which can not be seen.

4. Consider the fourth statement,

"A plane extends infinitely in all directions". It is true as plane is a flat surface that extends infinitely along its edges.

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Tessa had $90 in her checking account. She paid her cable/internet bill for $60. She deposited $50 from her part-time job before
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90-60+50-65=15


$15 in her account

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2 years ago
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40% of OatyPop cereal boxes contain a prize. Hannah plans to keep buying cereal until she gets a prize. What is the probability
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Answer:

the probability is 78.4%

Step-by-step explanation:

there are 3 scenarios

1) gets the price in the 1st box:

the probability is:

P = probability to obtain a price = 4/10= 40%

2) gets the price in the 2nd box

P= probability to fail in the fist box * probability to obtain a price

P= (6/10)*(4/10)=24/100 = 24%

3) gets the price in the 3rd box

P =probability to fail in the first box * probability to fail in the second box*probability to obtain a price =(6/10)*(6/10)*(4/10)=144/1000 = 14,4%

therefore the probability to obtain a price in 3 or less boxes is:

P = 40%+24%+14.4%= 78.4%

7 0
1 year ago
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The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a "flip
lapo4ka [179]

The table of this question is in the attachments.

Answer and Step-by-step explanation: <u>Standard</u> <u>deviation</u> is a measure of how spread the data is from the mean. It is calculated as:

s = √∑(x - μ)² / n - 1

where μ is the mean of the set.

<u>Range</u> is the difference between the highest and lowest value of a data set.

(a) <u>Range of Traditional course</u>:

range = 80.4 - 56

range = 24.4

<u>Range of "flipped" course</u>:

range = 92.6 - 63.5

range = 29.1

Comparing ranges, the "flipped" course has more dispersion than the traditional.

(b) <u>Standard Deviation of Traditional course</u>:

mean = 71.6

s = \sqrt{\frac{(70.3 - 71.6)^{2}+...+(59.1-71.6)^{2}}{13-1}

s = 8.95

<u>Standard Deviation of "flipped" course</u>:

mean = 77.6

s = \sqrt{\frac{(75.5 - 77.6)^{2}+...+(76.9-77.6)^{2}}{13-1}

s = 8.3

Comparing standard deviation, traditional course has more dispersion.

(c) If you change one score, range for traditional will be:

range = 591 - 56

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Changing one score increase in almost 22 times the range for this category.

7 0
1 year ago
From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri
Leviafan [203]

Answer:

t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =2*P(t_{(9)}>2.32)=0.0455    

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=201.77 represent the sample mean    

s=2.41 represent the sample standard deviation    

n=10 sample size    

\mu_o =200 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :    

Null hypothesis:\mu = 200    

Alternative hypothesis:\mu = 200    

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

The statistic is given by:

t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =2*P(t_{(9)}>2.32)=0.0455    

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

4 0
1 year ago
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