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3 years ago

Please help me find the missing length of the triangle in the attached image. Thanks!

Mathematics

2 answers:

nordsb [41]3 years ago

5 0

Answer:

? = 21

Step-by-step explanation:

Parallel lines cut off proportional segments on transversals.

27/? = 18/14

18 * ? = 27 * 14

2 * ? = 3 * 14

? = 3 * 7

? = 21

Stells [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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Assume that you plan to use a significance level of alpha α equals =0.05 to test the claim that p 1 p1 equals = p 2 p2. Use the

stiks02 [169]

Answer:

z=3.536

$\hat p=0.204$

$p_v =2*P(Z>3.54)\approx 0.0004$

Step-by-step explanation:

1) Data given and notation

$X_{1}=172$ represent the number of people with the characteristic 1

$X_{2}=356$ represent the number of people with the characteristic 2

$n_{1}=677$ sample 1 selected

$n_{2}=3377$ sample 2 selected

$p_{1}=\frac{172}{677}=0.254$ represent the proportion estimated for the sample 1

$p_{2}=\frac{654}{3377}=0.194$ represent the proportion estimated for the sample 2

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{172+654}{677+3377}=0.204$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.254-0.194}{\sqrt{0.204(1-0.204)(\frac{1}{677}+\frac{1}{3377})}}=3.536$

4) Statistical decision

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

$p_v =2*P(Z>3.54)\approx 0.0004$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups.

6 0

4 years ago

The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in

Evgesh-ka [11]

The most consistent attendance is the one that has less variability (it's more regular). Not necessarily the one with more students. So, the case with less variability is the one with less IQ, sigma or range (all three measure the dispersion of a distribution. IQ is more robust than sigma, and sigma more than the range, although in practice everyone uses sigma).

So, the answer to A) is the third High School: HS P

B) Here one looks at the central measurement: mean, median. This example is not super easy. HS N has the highest mean value, but HS P has the highest median. The median is more robust than the mean, since it is less affected by outliers. So HS P is a good candidate.

Finally, looking at the Low/High values, one can see that the high is the same: some day(s) when all students went and all HS have a maximum number of 180 students. However, the highest low is HS P.

So, I think HS P should also be awarded for the highest rate, since its median
is the highest and the lower number of students is the highest.

Median means 50% of the cases have values less than the median. Mean is an average.

3 0

3 years ago

What is the GCF of 45 and 60

tensa zangetsu [6.8K]

15 is the GcF for 45 and 60

5 0

3 years ago

How dis work? i am so confused pzl help

Nastasia [14]

Answer:

You can look for an answer or help others with their questions

Step-by-step explanation:

brainly is used to help students and other people find answers they are looking for while they can also help others with their questions,

6 0

3 years ago

Hilary walked 18 yards from her house to the library. Then she walked 288 feet to the post office. What is the total distance in

OverLord2011 [107]

Answer:

37 yards

Step-by-step explanation:

Given data

Distance from house to the library= 18 yards

Distance from the library to the post office= 288 feet

Total distance in yards, first let us have all units to yards

288ft to yard= 96 yards

Hence the total distance in yards is

=18+19

=37 yards

4 0

3 years ago