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xxTIMURxx [149]
3 years ago
6

An expression is given.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

9514 1404 393

Answer:

  34

Step-by-step explanation:

Maybe you want to evaluate ...

  16 - 14 ÷ 2 + (3 +2)²

The parentheses are evaluated first.

  16 -14÷2 +5²

Then the exponential term.

  16 -14÷2 +25

The division is evaluated next.

  16 -7 +25

Finally, the sum is evaluated.

  = 9 +25

  = 34

____

Your calculator can do this arithmetic for you.

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In the similar triangles below, what is the measure of ∠F
Lana71 [14]

Answer:

37 degrees because of similarity

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Mr. Taylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and
kap26 [50]

Answer:

The skitties are not evenly distributed by colour

Step-by-step explanation:

Given that Mr. T  aylor's 4th grade class uses Skittles to learn about probability. They open several randomly selected bags of Skittles and sort and count the different colors and want to determine if Skittles are evenly distributed by color.

H_0: Skitties are equally distributed\\H_a: atleast two are not equally distributed

(Two tailed chi square test)

If all are equally distributed then expected values would be equal to 420/5 =104

Observed                       Red   Orange  Yellow   Purple   Green  Total

                                       107          101      87           115           10     420

Expected                         104          104     104          104         104    420

Chi square 0.0865 0.0865 2.7788 1.16345 84.9615 89.0769

Chi square is calculated as (obs-exp)^2/exp

Total chi square = 89.0769

df = 4

p value = <0.00001

Reject null hypothesis

The skitties are not evenly distributed by colour

3 0
3 years ago
(x-1/x ²-4) + (1/x-2)
kodGreya [7K]

Answer:

  (2x+1)/(x^2 -4)

Step-by-step explanation:

When you add fractions (or rational expressions) you need to express each of them over a common denominator, so you can add the numerators. (Parentheses or other grouping symbols are required.)

  \dfrac{x-1}{x^2-4}+\dfrac{1}{x-2}=\dfrac{x-1}{(x-2)(x+2)}+\dfrac{(1)(x+2)}{(x-2)(x+2)} \qquad\text{now we have a common denominator}\\\\=\dfrac{(x-1)+(x+2)}{(x-2)(x+2)}=\dfrac{2x+1}{(x-2)(x+2)}=\dfrac{2x+1}{x^2-4}

You factor the denominator on the left so you can see what factors are missing from the denominator on the right.

__

<em>Numerical example</em>

Suppose you want to add the fractions 4/15 and 3/5. You would factor the denominator 15 into 3·5, so you can see that the fraction 3/5 needs to be multiplied by (3/3) in order to give it a denominator of 15. Once the two fractions have a common denominator, you can add their numerators.

  4/15 + 3/5 = 4/15 + (3/5)(3/3)

  = 4/15 + 9/15

  = (4+9)/15 = 13/15

_____

<em>Comment on grouping symbols</em>

When a rational expression is typeset, the division bar of the fraction identifies the numerator and the denominator:

  \dfrac{x-1}{x^2-4}

When you write it in plain text as ...

  x - 1/x^2 -4

this becomes a 3-term expression:

  (x) -(1/x^2) -(4)

which is very different from what you may intend. In order to match the original typeset expression, parentheses must be added to show the group in the numerator and the group in the denominator:

  (x -1)/(x^2 -4)

The same holds for exponents. The superscript position in a typeset expression tells you what the exponent is. When you write the same thing in plain text, parentheses are needed to show the exponent group.

  3^{x-1} = 3^(x -1) ≠ 3^x -1

7 0
4 years ago
Tim has a $5000 bond with a 4.6% coupon Tim purchased this bond for $5195 what is the yield of the new bond?
NikAS [45]

Answer:

yield of this new bond is 4.42%

Step-by-step explanation:

given data

bond  = $5000

coupon rate = 4.6%

purchased bond = $5195

to find out

yield of this new bond

solution

We get here first amount paid to the bond holder

amount paid = 4.6% × $5000

amount paid = $230

and

so Tim earned $230 on a bond that cost her $5195  

so yield of this new bond = \frac{230}{5195} \times 100

yield of this new bond = 4.42 %

6 0
3 years ago
Where could you insert parentheses in The problem 310-20÷2×5+13 so the answer should be 130
Inessa [10]
The parenthesis should be placed in 310-20/2 x (5 + 13) =130
3 0
3 years ago
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