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ELEN [110]
3 years ago
6

-9.5 as a mixed number

Mathematics
1 answer:
valina [46]3 years ago
8 0

You know that .5 = 0.5 = 5/10 = 1/2.

Mixed number sought: -9_1/2.

You might be interested in
С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
2 years ago
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
gladu [14]

Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
!!!!!NEED HELP ASAP. RIGHT NOW!!!!!!
Nitella [24]

Answer:

15% of 100,000 is 15000, so that would be 100,000 + (15,000*3) = 145,000 after 3 years.

6 0
2 years ago
PLEASE HELPPP I TOLD MY MOM I WOULD BE DONW ITH THIS CLASS TODAY SO SHE WOULDNT YELL AT ME BUT I HAVE 54 ASSIGNMENTS
Scrat [10]
(x^2+1)(x+2)(x −2)

*ps the ^ means it’s a exponent

Hope I helped <3 sorry if I was wrong :(
8 0
2 years ago
Suppose a triangle has sides a, b, and c, and let theta be the angle opposite the side of length a. If cos theta &gt; 0 what mus
borishaifa [10]
I think the answer is d or b if im wrong sorry hope this helped tho :p
5 0
3 years ago
Read 2 more answers
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