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Lera25 [3.4K]
3 years ago
12

20 POINTS!! HURRY!!!

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0
The answer is 180-2a.
Tcecarenko [31]3 years ago
7 0
The answer to this problem is 180 - 2a
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I need a break down please<br><br> Write 0.6 in two other ways<br> _ %
wlad13 [49]
6/10 would equal 0.6 and 0.6 written as a percent would be 60%
3 0
3 years ago
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What is 1/3 + 7/12 x 4
vova2212 [387]
\frac{1}3+\frac{7}{12}*4

According to the order of operations, you need to multiply first.

When you multiply into a fraction, the numerator (top number) changes.
In this case, you'd multiply the 7 by 4 to get 28.

\frac{1}3+\frac{28}{12}

To add fractions, they have to have the same denominator. (bottom number)
Let's find the lowest common denominator of 3 and 12.
Prime factorization of 3: 3
Prime factorization of 12: 2*2*3
Multiply all of these together, ignoring the duplicates.
2*2*3 = 12

How can we change 1/3 to have a denominator of 12?
Well, if you multiply or divide both the numerator and denominator of a fraction by the same number, it will stay equal. For instance, 1/2 = 2/4.
We want the 3 to become 12. That means we'd multiply by 4.
Multiplying 1 by 4 gives us 4.
Thus 1/3 = 4/12.

\frac{4}{12}+\frac{28}{12}

Now just add the numerators.

\frac{32}{12}

Since the top and bottom are both divisible by 2, we can simplify this by dividing them both by 2.

\frac{16}6

And again.

\frac{8}3

If you wanted that as an improper fraction, that would be 2\frac{2}3.
4 0
3 years ago
Read 2 more answers
Find the sum. Write your answer in simplest form.
Darya [45]

Answer:

5 11/36

Step-by-step explanation:

6 0
3 years ago
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Find the area of the figure. Round your answer to the nearest hundredth.
Fittoniya [83]

Answer:

area of the rectangle =length *breadth

=14*5=70sq.ft

diameter =6ft

radius =3ft

area of the semi circle =1/2πr^2

=1/2*22/7*3*3=14.142sq.ft

area of the figure =area of the rectangle +area of the semi circle =70+14.142=84.142sq.ft

3 0
3 years ago
Read 2 more answers
Assume that round widgets from a manufacturing process have diameters that are normally distributed with mean 135.75 centimeters
Cloud [144]

Answer:

b. 99 out of 100.

Step-by-step explanation:

We solve for this using z score formula

z-score formula is given as:

z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a) x = 129cm, μ = 135.75cm, σ = 1.85cm

z = (129- 135.75)/1.85

z = -3.64865

Finding the Probability value of the z score from the z table:

P(x = 129) = P(z = -3.64865)

= 0.00013181

b) x = 143 cm, μ = 135.75cm, σ = 1.85cm

z = (143- 135.75)/1.85

z = 3.91892

Finding the Probability value of the z score from the z table:

P(x = 143) = P(z = 3.91892)

= 0.99996

The chances that a randomly selected widget has diameter between 129 centimeters and 143centimeters

= P(x = 143) - P(x = 129)

= P(z = 3.91892) - P(z = -3.64865)

= 0.99996 - 0.00013181

= 0.99982819

Converting to percentage

= 0.99982819 × 100

= 99.982819%

Therefore, option b. 99 out of 100 is the correct answer

8 0
3 years ago
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