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Aleks04 [339]
3 years ago
10

Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find th

e area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Answer:

25

Step-by-step explanation:

did the question

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Weight gain during pregnancy. In 2004, the state of North Carolina released to the public a large data set containing informatio
pychu [463]

Answer:

1. B. H0: μ1−μ2=0, HA: μ1−μ2≠0

2. z=1.2114

3. P-value=0.2257

4. Do not reject H0

Step-by-step explanation:

We have to perfomr an hypothesis test to see if there is strong evidence that there is a significant difference between the two population means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2\neq0

Being μ1 the mean average gain for younger mothers and μ2 the mean average gain for mature mothers.

(NOTE: we are comparing means, not proportions, as it is the random variable is the weight gain).

As we are claiming "strong evidence", the level of significance will be 0.01.

For younger mothers, the sample size is n1=840, the sample mean is 30.7 and  the sample standard deviation is s1=14.91.

For mature mothers, the sample size is n2=132, the sample mean is 29.15 and the sample standard deviation is s2=13.46.

The difference between means is

M_d=\mu_1-\mu_2=30.7-29.15=1.55

The standard error of the difference between means is

s_M=\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}=\sqrt{\dfrac{14.91^2}{840}+\dfrac{13.46^2}{132}}=\sqrt{ 0.2647+1.3725}=\sqrt{1.6372}\\\\\\s_M=1.2795

Then, the statistic can be calculated as:

z=\dfrac{M_d-(\mu_1-\mu_2)}{s_M}=\dfrac{1.55-0}{1.2795}=1.2114

The P-value for this z-statistic in a two tailed test is:

P-value=2P(z>1.2114)=0.2257

As the P-value is greater than the significance level, the null hypothesis failed to be rejected.

There is no enough evidence to claim that the real average weight gain differs from mature and youger mothers.

5 0
3 years ago
Find the value of YVU
tigry1 [53]
XV = 180
180 - 85 = 95
3 0
3 years ago
A group conducted a poll of 2025 likely voters just prior to an election. The results of the survey indicated that candidate A w
FrozenT [24]

Answer:

Check Explanation

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

The population proportion can take on any value within the confidence interval obtained.

So, for each candidate, we can calculate the confidence interval for the population proportion of popular votes they would each receive.

For candidate A,

Sample Proportion = 47%

Margin of Error = 2%

Confidence Interval = (47%) ± (2%)

Confidence interval = (45%, 49%)

For candidate B,

Sample Proportion = 46%

Margin of Error = 2%

Confidence Interval = (46%) ± (2%)

Confidence interval = (44%, 48%)

The true proportion of popular votes for the two candidates will lie between

Confidence Interval for candidate A

(45%, 49%)

Confidence Interval for candidate B

(44%, 48%)

So, the true proportion of popular votes for candidate A can take on any value from 45% to 49%, and that for candidate B can take on values from 44% to 48%.

Because, A could have 45% and B have 48% or A could have 47% and B too have 47%.

The clear winner cannot be determined from this confidence interval obtained from the survey, it really is too close to call!

Hope this Helps!!!

5 0
3 years ago
On a map, 1 inch equals 25 miles. Two cities are 2 inches apart on the map. What is the actual distance between the cities?
Levart [38]
The actual distance between the cities is 50 miles
4 0
3 years ago
Read 2 more answers
100-99+98-97+96-95...2-1=
Simora [160]
100-99=1+98=99-97=2+96=98-95=3
2-1=1
5 0
3 years ago
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