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s344n2d4d5 [400]
2 years ago
5

Reduce the following fractto their lowest form​

Mathematics
1 answer:
Keith_Richards [23]2 years ago
6 0

Answer:

a) 3/16

b) 8/7

Step-by-step explanation:

i think the idea there was just simplifying the fractions.

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How are the solutions to the following two equations related m+5=72 <br> m+72=5
EastWind [94]
To see how they are related, let us solve the two equations.

FIRST EQUATION

m + 5 = 72

\rightarrow \: m = 72 - 5

\rightarrow \: m = 67

SECOND EQUATION

m + 72 = 5

\rightarrow \: m = 5 - 72

\rightarrow \: m = - 67

Hence the solutions to the two equations are ADDITIVE INVERSE of each other.
6 0
3 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
4vir4ik [10]

Answer:

(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) Upper confidence bound = 0.0787

Step-by-step explanation:

(a) The confidence interval for p (proportion) can be calculated as

p \pm z*\sigma_{p}

\sigma=\sqrt{\frac{\pi*(1-\pi)}{N} }\approx\sqrt{\frac{p(1-p)}{N} }

NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.

p=17/300=0.0567\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }=\sqrt{\frac{0.0567(1-0.0567)}{300} }=0.0134

For a 95% two-sided confidence interval, z=±1.96, so

\\LL = p-z*\sigma=0.0567 - (1.96)(0.0134) = 0.0304\\UL =p+z*\sigma= 0.0567 + (1.96)(0.0134) = 0.0830\\\\

The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) The confidence interval now has only an upper limit, so z is now 1.64.

UL =p+z*\sigma= 0.0567 + (1.64)(0.0134) = 0.0787

The confidence interval is: -∞ ≤ π ≤ 0.0787.

5 0
3 years ago
Evaluate the follow expression
STatiana [176]
I see the answers,but where is the problem (equation that needs to be solved)
4 0
3 years ago
Simplify: 16z8-23z8 <br><br>enter the original expression if it can't be simplified
inn [45]

Answer:

The simplified version of that equation would be -7z^{8}.

Step-by-step explanation:

Since 16z^{8} and 23z^{8} have the same exponent and variable, we can combine them normally.


16z^{8} - 23z^{8} =  -7z^{8}

4 0
3 years ago
Trapezoid ABCD and trapezoid JKLM are similar. What side corresponds to side BC? Side LM Side KL Side JK Side KJ
astraxan [27]

Answer: JK

Step-by-step explanation:

3 0
3 years ago
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