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3 years ago

Does a equilateral have the same properties as as an isosceles triangle

1 answer:

5 0

No, equilateral triangles and isosceles triangles are 2 different things, equilateral triangles have all equals sides and angles (all angle measurements would be 60 degrees) and isosceles triangles have only 2 sides of equal measurements and one is different from the other 2. Hope I helped :)

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Jane wants to estimate the proportion of students on her campus who eat cauliflower. after surveying 39 students, she finds 4 w

stellarik [79]

Let $x$ be the number of students who eat cauliflower.

Therefore, $x=4$ .

Let $n$ be the total number of students surveyed.

Therefore, $n=39$

Thus, $\hat p$ $=\frac{4}{39} =0.10256$

Now, for 90% confidence level, from the table we know that $Z=1.645$ .

The formula for the interval range of proportion of students is :

$p= \hat p\pm Z\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Plugging in the values we get:

$p=0.10256\pm 1.645\sqrt{\frac{0.10256(1-0.10256)}{39}}=0.10256\pm 0.04858=0.15114, 0.05398$

Thus, Jane is 90% confident that the population proportion p, for students who eat cauliflower in her campus is between 5.398% and 15.114% (after converting the answer we got to percentage).

7 0

3 years ago

Select the two binomials that are factors of this trinomial.

mojhsa [17]

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)

1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the $x^2$ term at the front of the trinomial), we find the binomials:

$x+ 2$ and $x + 4$

The answer is x + 2 and x + 4.

5 0

3 years ago

Read 2 more answers

What is the product of the 6th square number and the 5th square number?

lukranit [14]

Answer:

900.

Step-by-step explanation:

The first 6 square numbers are 1, 4, 9, 16, 25, 36,

The required product is 25 * 36

= 900.

8 0

3 years ago

Emma was about to finish grocery shopping when she noticed that cans of soup were on sale. Her total bill for groceries would be

Alinara [238K]

Answer:

3rd option: B(C)= 1.79C +86.03

Step-by-step explanation:

Total bill

= cost of cans(number of cans) +cost of other groceries

Let the cost of other groceries be G, and the cost of cans be X.

Given that number of cans= C,

Total bill= XC +G

If 2 cans were purchased,

2X+G= 89.61 -----(1)

If 5 cans were purchased,

5X +G= 94.98 -----(2)

(2) -(1):

(5X +G) -(2X +G)= 94.98 -89.61

5X +G -2x -G= 5.37

3X= 5.37

X= 5.37 ÷3 (÷3 on both sides)

X= 1.79

Subst. X= 1.79 into (1):

2(1.79) +G= 89.61

3.58 +G= 89.61

G= 89.61 -3.58 (-3.58 on both sides)

G= 86.03 (simplify)

Total bill

= XC +G

= 1.79C +86.03

Thus, the function is B(C)= 1.79C +86.03.

3 0

3 years ago

Round 8.54951607694 to 6 decimal places.

Ratling [72]

Answer:

8·549516

Step-by-step explanation:

To round the number given to 6 decimal place, we will follow the steps below;

First count six digits after the decimal point

Then after the six digit number take the next number and see if it below 5 then this means you will be rounding down, so you will leave your six digit after the decimal points the way they are and discard the other digits after the the six digits, but if the digit number right after the sixth digit is 5 and above, then you will be rounding up, you will add one to your sixth digit and then discard the digits after the sixth digits.

That is;

In the number given: 8.54951607694

The sixth digit after the decimal point is 6, the number that comes after it is zero, so we will leave the 6 the way it is and discard the other digits after 6

8.54951607694 ≈ 8·549516 to 6 decimal place

4 0

3 years ago