1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zalisa [80]
2 years ago
10

In the diagram what is the angle of depression?

Mathematics
1 answer:
Jlenok [28]2 years ago
3 0

Answer:

\angle EGD

Step-by-step explanation:

Imagine that the point E is variable along the ED line.

As you lower E along ED, the angle EDG gets smaller and smaller, so this is the angle of depression.

You might be interested in
What is the hourly utilization rate of each resource if the bottleneck(s) work nonstop during a 10-hour day?
Bess [88]

Answer:

100%

Step-by-step explanation:

Utilization rate =

Hours worked / total working hours per day

Since the bottle works nonstop during a 10-hour day, it worked 10 hours

Utilization rate in percentage = (10/10)×100%

= 100%

6 0
2 years ago
The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, al
Valentin [98]

Answer:

a) p_v =P(t_{(9)}

The p value is higher than the significance level given 0.01, so then we can conclude that we FAIL to reject the null hypothesis. And we can say that the true difference for Best Actresses is not significantly lower than the mean for Best​ Actors at 1% of significance.

b) The 99% confidence interval would be given by (-21.469;2.069)

c) We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two

Step-by-step explanation:

Part a

Let put some notation  

x=actor's age , y = actress's age

x: 58 41 36 36 34 33 48 37 37 43

y: 26 27 34 26 35 29 23 42 30 34

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x \geq 0

Alternative hypothesis: \mu_y -\mu_x

The first step is calculate the difference d_i=y_i-x_i and we obtain this:

d: -32, -14, -2, -10, 1, -4, -25, 5, -7, -9

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}= -9.7

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =11.451

The 4 step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-9.7 -0}{\frac{11.451}{\sqrt{10}}}=-2.679

The next step is calculate the degrees of freedom given by:

df=n-1=10-1=9

Now we can calculate the p value, since we have a left tailed test the p value is given by:

p_v =P(t_{(9)}

The p value is higher than the significance level given 0.01, so then we can conclude that we FAIL to reject the null hypothesis. And we can say that the true difference for Best Actresses is not significantly lower than the mean for Best​ Actors at 1% of significance.

Part b

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".  

The confidence interval for the mean is given by the following formula:  

\bar d \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that t_{\alpha/2}=3.25  

Now we have everything in order to replace into formula (1):  

-9.7-3.25\frac{11.451}{\sqrt{10}}=-21.469  

-9.7+3.25\frac{11.451}{\sqrt{10}}=2.069  

So on this case the 99% confidence interval would be given by (-21.469;2.069)

Part c

We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two means is 0.

8 0
3 years ago
Write each polynomial in standard form. Identify the leading coefficient 10x-7+x4+4x3
JulijaS [17]
Polynomial in standard form:

x⁴ + 4x³ + 10x - 7

Leading coefficient:

1

How it should be written:

x⁴ + 4x³ + 10x - 7; 1
3 0
3 years ago
How do you estimate a whole number 3,576
frozen [14]
By dividing it by a number that = to it
5 0
3 years ago
Read 2 more answers
QUESTION 18
masha68 [24]

Answer:

  • y = 0.64w + 12.60

Step-by-step explanation:

<u>This is a linear relationship y= mx + b and:</u>

  • The y-intercept is b = 12.60
  • The slope is m = 0.64

<u>The monthly total is:</u>

  • y = 0.64w + 12.60
5 0
2 years ago
Other questions:
  • Rashad is filling a toy box that are each a unit cube size.He filled the bottom layer of a toy box with 15 wooden blocks.He then
    5·1 answer
  • Alberto is a waiter. He waits on a table of 4 whose bill comes to $110.05. If Alberto receives a 15% tip, about how much will he
    7·1 answer
  • Predict which statements are true about the intervals of the continuous function. Check all that apply.
    6·2 answers
  • Please help if u can
    14·2 answers
  • The total amounts of rainfall at various points in time during a thunderstorm are shown in the table. Rainfall During a Thunders
    8·2 answers
  • What does "of" mean in a persent question
    9·1 answer
  • What is the distance between (4,6) and (9,15)?
    12·1 answer
  • How many minutes are in 3 5/12hours?
    8·1 answer
  • I need help for the Iready end of the year test plzzzzzzzzzzzzzz
    15·1 answer
  • O A
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!