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Sonja [21]
3 years ago
15

Which One is GREATER 2 to the power of 7 or 7 to the power of 2

Mathematics
1 answer:
nignag [31]3 years ago
5 0

Answer:

2 to the power of 7

Step-by-step explanation:

7 to the power of 2 is 49

2 to the power of 7 is 128

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396

18 x 22= 396 hope i helped you.
4 0
3 years ago
1. Find the value for the expression when h=13: 9 + h - 3
VMariaS [17]
1: 9+13-3= 19

2: 6-3= 3

3: 3(9)= 27
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Find the Pecimeter of the figure given below<br>​
valkas [14]

Step-by-step explanation:

  1. <em>perimeter</em><em>(</em><em>P)</em><em>=</em><em>3</em><em>+</em><em>4</em><em>+</em><em>4</em>
  2. <em>3</em><em>+</em><em>4</em><em>+</em><em>4</em>
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3 years ago
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According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation af
andreyandreev [35.5K]

Answer:

a

P(2\leq X\leq 5)=0.875

b

P(X

Step-by-step explanation:

Let the random X variable representing the 6 companies that give 4 weeks of vacation after 15 years of employment:

-let p=0.5 be the probability of vacation. Since the companies are independent, X assumes a binomial random variable:P(X=x)=b(x;6,0.5)\\\\={6 \choose x}(0.5)^x(0.5)^{6-x}\\\\={6 \choose x}(0.5)^6, \ x=0,1,2,3...\ \ \ eqtn1

#Probability that the number of companies that give vacation is anywhere from 2 to 5:

We use equation 1;

P(2\leq X\leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\={6 \choose 2}(0.5)^6+{6 \choose 3}(0.5)^6{6 \choose 4}(0.5)^6+{6 \choose 5}(0.5)^6\\\\=0.0156(15+20+15+6)\\\\=0.875

Hence the probability that between 2 and 5 companies give vacation is 0.875

b. The probability that fewer than 3 companies give vacation is calculated as:

From equation one we get:

P(X

Hence the probability that less than three companies give vacation is 0.3432

3 0
3 years ago
Maria has a portfolio consisting of 7 shares of stock A (purchased for $70 per share) and 4 shares of stock B (purchased for $10
Vlad [161]

Answer:

Hence, the expected rate of return after 1 year for Mary's portfolio is 0.17751

Step-by-step explanation:

We have,

Purchase 7 shares of stock A  for $70 per share and 4 shares of stock B for $100 per share then The expected rate of return after 1 year for Mary's portfolio.

Weight invested in stock A is W_x=\frac{7\times 70}{7\times 70+4\times 100}

                                               \Rightarrow W_x=\frac{490}{490+400}\\\Rightarrow W_x=\frac{490}{890}\\\Rightarrow W_x=\frac{49}{89}\\\Rightarrow W_x=0.5505

Weight invested in stock B isW_y=\frac{4\times 100}{7\times 70+4\times 100}

                                             \Rightarrow W_y=\frac{400}{490+400} \\\Rightarrow W_y=\frac{400}{890} \\\Rightarrow W_y=\frac{40}{89} \\\Rightarrow W_y=0.4494

The expected value of the rate of return=W_x\times\;\text{expected rates of stock A}+W_y\times\;\text{expected rates of stock B}

=0.5505\times0.02+0.4494\times0.15

=0.01101+0.06741

=0.17751

4 0
3 years ago
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