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Vedmedyk [2.9K]
4 years ago
7

The name of the property illustrated in each statement

Mathematics
1 answer:
insens350 [35]4 years ago
5 0
9. Commutative Law,  11. Multiplicative Identity Property, 13. Distributive Law, 15. Inverse Property of Addition, 17. Commutative Law, 19. Distributive property (?)
Good luck, hope this helps!!
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Given f(x)=3^x-8, what is<br> the value of f(10)
Westkost [7]

Answer:

f(x) =  {3}^{(x)}  - 8 \\ f(10) =  {3}^{(10)} - 8  \\  = 59041

8 0
3 years ago
2.<br> Evaluate the following mixed numbers, then simplify.<br> 7 1/2 divide 1 1/8
Alex Ar [27]
When you divide you get 6.666667 then in fraction it is 20/3 so in mix number 6 2/3.
6 0
3 years ago
Read 2 more answers
X+ 3/4 ≥ -1/3<br> Can I get help with this I need the work and answer.
andreev551 [17]
Solving this inequality is similar to solving a regular equation. The only thing you need to worry about with inequalities is that when you are dividing or multiplying by a negative number, you must flip the inequality sign. You won't have to worry about that here!

You are told x + 3/4 ≥ -1/3. Isolate the x by subtracting 3/4 from both sides. To subtract fractions, find a common denominator on both fractions, subtract the numerators, put the difference over the common denominator, and simplify if needed. The common denominator between \frac{3}{4} and - \frac{1}{3} is 12.
1) To make the denominator of \frac{3}{4}, 12, multiply it by 3/3 (aka 1):
\frac{3}{4} \times  \frac{3}{3} =  \frac{9}{12}

2) To make the denominator of - \frac{1}{3}, 12, multiply it by 4/4:
- \frac{1}{3} \times \frac{4}{4} = -\frac{4}{12}

3) Subtract the fractions to find the inequality for x:
x + \frac{3}{4}  \geq - \frac{1}{3}\\&#10;x + \frac{9}{12}  \geq -\frac{4}{12}\\&#10;x  \geq -\frac{4}{12} - \frac{9}{12} \\&#10;x  \geq  -\frac{13}{12}

You answer is x ≥ -13/12, or if you want to make -13/12 a mixed number, x ≥ -1 \frac{1}{12}.
3 0
3 years ago
Thirty percent of the CFA candidates have a degree in economics. A random sample of three CFA candidates is selected. What is th
Komok [63]

This is an example of a random variable that follows Bernoulli distribution.

Whenever you perform n experiments, with probability p of success, the provability of havin ksuccesses is

P(X=k)=\displaystyle\binom{n}{k}p^k(1-p)^{n-k}

In this case, you have n=3 (you choose a sample of 3 candidates), p=0.3 (30% of candidates have a degree in economics) and we want k to be at least one.

One way to solve this is to consider that

P(X\geq 1)=P(X=1)+P(X=2)+P(X=3)

But it is much quicker to observe that

P(X\geq 1)=1-P(X

And we have

P(X=0)=\displaystyle\binom{3}{0}0.3^0\cdot 0.7^{3}=1\cdot 1\cdot 0.7^3

So, the probability that at least one of them has a degree in economics is

1-0.7^3 = 0.657

4 0
3 years ago
D=18+34 d=22t system of equations
MrMuchimi

Answer:{d,t}={187, 17/2}

Step by step explanation :

System of Linear Equations entered :

[1] d - 18t = 34

[2] d - 22t = 0

Graphic Representation of the Equations :

-18t + d = 34 -22t + d

Solve by Substitution :

// Solve equation [2] for the variable d

[2] d = 22t

// Plug this in for variable d in equation [1]

[1] (22t) - 18t = 34

[1] 4t = 34

// Solve equation [1] for the variable t

[1] 4t = 34

[1] t = 17/2

// By now we know this much :

d = 22t

t = 17/2

// Use the t value to solve for d

d = 22(17/2) = 187

7 0
4 years ago
Read 2 more answers
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