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3 years ago

DE =8 CM DE = 4 CM DE = 10 CM DE = 6CM

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

8 0

Answer:

just add

Step-by-step explanation:

Marianna [84]3 years ago

8 0

Answer:

DE = 6 cm

Step-by-step explanation:

The problem states these triangles are similar. Line BC is half the length of Line AB. So, Line DE should be half the length of Line AD.

Therefore, Line DE = 6 cm

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DOES ANY ONE UNDERSTAND THIS ?

patriot [66]

Translation of 7 to the left and 4 down

3 0

4 years ago

A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard

FromTheMoon [43]

Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

For the restaurant that charges $1.35, the z-score is 1.43

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that $\mu = 1.25, \sigma = 0.07$

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

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

$Z = \frac{0.95 - 1.25}{0.07}$

$Z = -4.29$

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

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

$Z = \frac{1 - 1.25}{0.07}$

$Z = -3.57$

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

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

$Z = \frac{1.35 - 1.25}{0.07}$

$Z = 1.43$

For the restaurant that charges $1.35, the z-score is 1.43

4 0

3 years ago

Suppose that f and g are two functions with the same domain. If f(x)equalsg(x) for every x in the domain, the equation is cal

stealth61 [152]

Answer:

Identity; conditional

Explanation:

Identity functions are functions that returns the SAME value which was used in its argument. In this case, f(x) = g(x). Therefore f(x) = g(x) = x.

Conditional functions are conditions that evaluates the condition and returns DIFFERENT values all depending on the condition value. That is, in this case, f(x) is not equal to g(x) for every x domain.

So, while identity functions returns the same value, conditional functions returns different functions.

5 0

4 years ago

What is another way to write -(8)

Oduvanchick [21]

You can write real numbers like this as:

-8

(-8)

-2*3

-2^(3)

I suppose you could also write in into standard form: 8

6 0

3 years ago

Oishi and Schimmack (2010) report that people who move from home to home frequently as children tend to have lower than average

user100 [1]

Answer:

The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

cohen's d = -0.91 , ( Large Effect )

Step-by-step explanation:

Given:-

- A sample of size n = 12

- The population mean u_p = 40

- The sample was taken as:

38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39

Find:-

On the basis of this sample, is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = 0.05.

Solution:-

- State the hypothesis for sample mean u_s is same as population mean u_p.

Null Hypothesis: u_s = 40

Alternate Hypothesis: u_s ≠ 40

- The rejection criteria for the Null hypothesis can be modeled by T-value ( n < 30 ) with significance level α = 0.05.

DOF = n - 1 = 12 - 1 = 11

Significance level α = 0.05

t_α/2 = t_0.025 = +/- 2.201

- For the statistic value we have to compute sample mean u_s given by:

u_s = Σ xi / n

u_s = (38 + 37 + 41 + 35 + 42 + 40 + 33 + 33 + 36 + 38 + 32 + 39) / 12

u_s = 37

- For the statistic value we need population standard deviation S_p given by:

S_p = S_s / √n

Where, S_s : Sample standard deviation.

S_s^2 = Σ (xi - u_s)^2 / (n-1)

=[ 2*(38-37)^2 + (37-37)^2 + (41-37)^2 + (35-37)^2 + (42-37)^2 + (40-37)^2 + 2*(33-37)^2 + (36-37)^2 + (32-37)^2 + (39-37)^2 ] / ( 11 )

S_s^2 = [ 2 + 0 + 16 + 4 + 25 + 9 + 32 + 1 + 25 + 4 ] / 11

S_s^2 = 10.73

S_s = 3.28

The population standard deviation ( S_p ) is:

S_p = 3.28 / √12

S_p = 0.95

- The T-statistics value is computed as follows:

t = ( u_s - u_p ) / S_p

t = ( 37 - 40 ) / 0.95 = -3.16

- Compare the T-statistics (t) with rejection criteria (t_α/2).

-3.16 < -2.201

t < t_α/2 ...... Reject Null Hypothesis.

- The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

- The cohen's d is calculated as follows:

cohen's d = ( u_s - u_p ) / S_s

cohen's d = ( 37 - 40 ) / 3.28 = -0.91 , ( Large Effect )

5 0

3 years ago