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Leni [432]
3 years ago
8

QUESTION 6

Mathematics
1 answer:
Delvig [45]3 years ago
3 0
The standard deviation of the following data, rounded to the nearest hundredth, is 7.55
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Please provide an answer
Igoryamba

Answer:

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = \frac{187}{22}

Simplify,

z = \frac{17}{2}

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10(\frac{17}{2})

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

8 0
2 years ago
Read 2 more answers
if the computer screen shows this image as calinda is downloading a file, how big is the file she’s loading ?
just olya [345]

Answer:

the file is 20 kb

Step-by-step explanation:

16kb/80%

xkb/100%

1600=80%

80       80

20KB

4 0
3 years ago
Let f(x) be a quartic polynomial with integer coefficients and four integer roots. Suppose the constant term of f(x) is 6.(a) Is
frez [133]

Answer:

  (a) yes

  (b) no; see below

Step-by-step explanation:

(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.

(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)

___

The quartic can be written as ...

  k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers

The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have

  kabcd = 3kabc = 6

  kabc = 6/3 = 2

Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.

3 0
3 years ago
What is a situation in which you would use fractions to express a number less than 1? What is a situation in which decimals seem
Semmy [17]

so you can not make the number smaller or reduce the fraction

ex.u can not simplify 11 over 12 because 11 is a prime number

8 0
3 years ago
Y=5x^2-8x-12 <br><br><br> linear , exponential , or quadratic and why
Assoli18 [71]

Answer:

Quadratic

Step-by-step explanation:

This is a quadratic equation because it's in the form of y=ax^2+bx+c

If it were linear, the graph would be a straight line and wouldn't contain a second degree term

If it were exponential there would be a growth or decay factor

4 0
3 years ago
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