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Sonbull [250]
3 years ago
10

Eric made a drawing of his rectangular bedroom with the scale 1 inch = 3 feet. The drawing was 5 inches long by 4 inches wide. W

hat is the actual length of Eric’s room?
Mathematics
2 answers:
allochka39001 [22]3 years ago
8 0

Answer:   180 square feet

Step-by-step explanation:

Dvinal [7]3 years ago
8 0

Answer:

180 ft

Step-by-step explanation:

since u said 1 inch= 3 feet

5 inch is 15 feet and 4 inch is 12 feet

then just do 15x12 and there your answer

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A maker of a certain brand of low-fat cereal barsclaims that the average saturated fat content is 0.5gram. In a random sample of
finlep [7]

Answer:

t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386    

p_v =2*P(t_{(7)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance.  So then the claim makes sense

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=0.475

The sample deviation calculated s=0.183

We need to conduct a hypothesis in order to check if the true mean is 0.5 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 0.5  

Alternative hypothesis:\mu \neq 0.5  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=8-1=7  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(7)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance.  So then the claim makes sense

4 0
3 years ago
Read 2 more answers
During game play, Juan threw 2 darts onto the board.
OlgaM077 [116]

Answer:

likely, impossible, unlikely

Step-by-step explanation:

8 0
3 years ago
What is the correct expanded form and value of (1 over 5 ) 4
slavikrds [6]

Answer:

1/625

Step-by-step explanation:

4 0
3 years ago
I need number 2 I need help fast
Semmy [17]

Answer:

B. 70

Step-by-step explanation:

<h3><u>look at the smaller triangle</u></h3>

its dimensions are :

45 , 35 , 24

<h3><u>look at the bigger triangle ( this includes the dimensions of the smaller one)</u></h3>

its dimensions are :

45 + 45 ,  x , 24 + 24

= 90 , x  , 48

from the dimensions given we can notice that :

<em>bigger triangle dimensions are  = 2 * smaller triangle dimensions</em>

<em></em>

therefore to find the value of x :

x = 35 * 2

<h3><u>x = 70</u></h3>

<u />

<h3><u>hence the answer is B ) 70 </u></h3>
4 0
3 years ago
A line passes through the point (-2, 3) and has a slope of -2. What is the equation of the line?
Mrrafil [7]

Answer:

y = -2x -1

Step-by-step explanation:

slope intercept form is y = mx +b

m = slope, b = y intercept

point is given as ordered pair (x,y)

plug in slope into y=......

y= -2x+b

plug in the point

3 = -2 * (-2) + b

3= 4 +b subtract 4 on each side

b = -1

y = -2x -1

8 0
2 years ago
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