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jolli1 [7]
3 years ago
12

Triangles ABC and DEF are similar find the length of segment DF​

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

2.68

Step-by-step explanation:

In similar triangles, the corresponding sides are in same ratio

\frac{DF}{AC} =\frac{DE}{AB}\\\\\frac{DF}{4} = \frac{1.34}{2}\\\\ DF = \frac{1.34}{2}*4\\\\DF = 1.34 * 2 \\\\DF = 2.68

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A recipe calls for 2 2/3 teaspoons of salt.you can only find 3 of your measuring spoons:a 1/2 teaspoon,a 1/8 teaspoon,and a 1/6
anyanavicka [17]
U would measure it with the teaspoon and the 1/6 teaspoon
you would need 2 use the 1/2 teaspoon 4 times to get 2 teaspoons and the `1/6 teaspoon 4 times to get 2/3.

1/6+1/6=2/6*2=4/6 =2/3

hope this helps
7 0
3 years ago
I need help with this, please
ANTONII [103]

Answer:

c, 85°

Step-by-step explanation:

95° + xz = 180° then

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6 0
3 years ago
What is the angle of elevation to a building 1000 m away that is 300 m high?
Pavel [41]

Let h be height of building

then In ΔABC

AB/BC =tan60degree

h/100 = root 3

h= 100 root 3

PLEASE MARK BRAINLIST!!

 

​

7 0
3 years ago
What is the solution to the equation?
arlik [135]
Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2


YOUR ANNSWER IS B OR JESSI’S WORK.
6 0
3 years ago
Read 2 more answers
Suppose 45% of the population has a college degree.
levacccp [35]

Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

The proportion estimate and the sample size are given as follows:

p = 0.45, n = 437.

Hence the mean and the standard error are:

  • \mu = p = 0.45
  • s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.45(0.55)}{437}} = 0.0238

The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.

Hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem:

Z = \frac{X - \mu}{s}

Z = (0.42 - 0.45)/0.0238

Z = -1.26

Z = -1.26 has a p-value of 0.1038.

2 x 0.1038 = 0.2076.

0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

More can be learned about the normal distribution at brainly.com/question/28159597

#SPJ1

8 0
2 years ago
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