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2 years ago

14

ABCD is a rectangle. E is the midpoint of BC , F is the midpoint of AB and G is the point of intersection of AE and CF . If the

area of ABCD is 1260 square units, find the area of the quadrilateral BFGE.

1 answer:

vampirchik [111]2 years ago

3 0

I got the same question

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There are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom. The three candidates that rece

sveticcg [70]

Answer:

56

Step-by-step explanation:

Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.

The three candidates that receive the highest number of votes become candidates for a runoff election.

i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.

Since order does not matter we use combinations here

3 persons out of 8 can be done in 8C3 ways

= 56

no of 3-candidate combinations possible are 56

3 0

2 years ago

fifteen darts have landed on the dart board shown. each dart scores 3,5, or 7 points. in how many different ways can the fifteen

lukranit [14]

Answer:

The answer is "8".

Step-by-step explanation:

Let the number are a, b, c then value is as follows:

a= 3

b= 5

c= 7

The addition of equation ⇒ a+b+c =15....................(i)

multiply by the value ⇒ 3a + 5b + 7c = 75 ...............(ii)

let b= 15-a-c which subtract from equation (ii)

equation:

⇒ 3a + 5b + 7c = 75

⇒ 3a + 5(15-a-c) + 7c = 75

⇒ 3a +75-5a-5c+7c = 75

⇒ 3a -5a-5c+7c = 75-75

⇒ -2a + 2c = 0

⇒ 2(c-a) = 0

⇒ (c-a) = 0

⇒ c=a

if we put value in between 0 to 7 from it satisfies the two equations, with c=a and b = 15 - a - c. So, the correct answer is 8.

3 0

2 years ago

Ecologists sometimes find rather strange relationships in our environment. For example, do beavers benefit beetles? Researchers

Harman [31]

Answer:

The appropriate conclusion that answers the question stated in step one is:

The weak correlation value does not support the idea that beavers benefit beetles.

The largest number of beetle larvae was 55 and the largest number of stumps was 5.

Step-by-step explanation:

1) Select the appropriate practical question.

The appropriate practical question is:

"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"

2) Make a scatter plot.

The scatter plot is attached below.

From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.

The maximum number of beaver stumps found is 5.

3)

The best numerical summary for this problem are,

Correlation and regression line

The least square regression line for predicting the number of beetle larvae from the number of stumps is:

<em>y</em> = 31.594 - 2.8365 <em>x</em>.

Use the Excel function "=CORREL(array1,array2)" to compute the correlation.

The correlation value is, <em>r</em> = -0.219.

Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.

Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.

Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.

Thus, the appropriate conclusion that answers the question stated in step one is:

The weak correlation value does not support the idea that beavers benefit beetles.

The largest number of beetle larvae was 55 and the largest number of stumps was 5.

3 0

2 years ago

A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experienc

garri49 [273]

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10 and q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6

And p*n = 0,4 * 30 = 12 12 > 10

And q*n = 0,6 * 30 = 18 18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

6 0

2 years ago

A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagr

avanturin [10]

Answer:

ON MONDAY: 35 mosquitos.

ON TUESDAY: 6 flies.

Step-by-step explanation:

As you can see in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can expresed this ratio as following:

3:7 or $\frac{3}{7}$

Based on the table:

-If the frog eats 15 flies on monday, then the number of mosquitos that it eats can be calculated as following:

$\frac{3}{7}=\frac{15}{mosquitoes}\\\\mosquitoes=\frac{15*7}{3}\\\\mosquitoes=35$

-If the frog eats 14 mosquitoes on tuesday, then the number of flies that it eats can be calculated as following:

$\frac{3}{7}=\frac{flies}{14}\\\\flies=\frac{14*3}{7}\\\\flies=6$

8 0

2 years ago