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ra1l [238]
3 years ago
12

can someone give me a brief explanation on this question? I’ve gotten answers but not explanations! Thank you so much. Happy hol

idays from my family to yours!

Mathematics
2 answers:
valentinak56 [21]3 years ago
6 0

Answer:

The second answer choice.

Step-by-step explanation:

professor190 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

We are given 1 corresponding congruent side, so if we are to use SAS to prove triangle congruency, we need the A (angle) and the other S (side).  Without every having to mark them, vertical angles are ALWAYS CONGRUENT!! That means that we do not have to have angle SRQ marked as congruent to angle CRA because they are vertical angles.  So now we have the SA part of SAS.  Keep in mind, that the A is INCLUDED between the sides, so the sides we are missing, 1 in each triangle (and they have to be corresponding to count) have to be right next to the angle.  That means that in order to prove congruency by SAS we need to have marked for us that side RS is congruent to side RC.  That would put the sides right next to each other with the angle in between them, which is what SAS requires.

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A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds tha
ollegr [7]

Answer:

99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Step-by-step explanation:

We are given that a high school principal wishes to estimate how well his students are doing in math.

Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                          P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students received a passing grade = 77%

           n = sample of tests = 40

           p = population proportion

<em>Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5%

                                           level of significance are -2.5758 & 2.5758}  

P(-2.5758 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<u>99% confidence interval for p</u> = [\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

 = [ 0.77-2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } , 0.77+2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } ]

 = [0.5986 , 0.9414]

Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Lower bound of interval = 0.5986

Upper bound of interval = 0.9414

6 0
3 years ago
Which number is in the set of integers but is not in the set of whole numbers?
klemol [59]

Answer:

D

Step-by-step explanation:

5 and 1/2 is not a whole nubmer in this list

7 0
3 years ago
Read 2 more answers
During the summer, the population of spring lake is 30,155. During the winter, the population drops down to 13,876. How many peo
aleksley [76]
30,155-13,876=16,279
16,279 people spend on the summer months in spring lake.
3 0
3 years ago
Read 2 more answers
You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Year
hoa [83]

Answer:

intercept=b0=75

Step-by-step explanation:

The least squares estimate of the intercept b0 can be computed as

b0=ybar-b1*xbar.

ybar=average number of shares of company stock=525.

xbar= average number of years employed=22.5.

slope=b1=20.

Thus,

intercept=b0=ybar-b1*xbar

intercept=b0=525-20*22.5

intercept=b0=525-450

intercept=b0=75.

Thus, the estimate of intercept b0=75.

8 0
3 years ago
If the sides of two similar triangles are in the ratio of 3:5, find the ratio of their areas.
Kazeer [188]

Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

We know that,

<em>In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.</em>

$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }

                      $=\left(\frac{3}{5}\right) ^2

                      $=\frac{9}{25}

Ratio of areas of similar triangles is 9 : 25.

5 0
3 years ago
Read 2 more answers
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