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dimaraw [331]
2 years ago
7

3. What is always true when two whole

Mathematics
1 answer:
Greeley [361]2 years ago
4 0

Answer:

C

Step-by-step explanation:

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4 hundreds equal 400 ones
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3 years ago
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Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.
KonstantinChe [14]

By the fundamental theorem of algebra, we can write

x^2+bx+10=(x-r_1)(x-r_2)

Expanding the right hand side, we get

x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}

We want b to be an integer, which means r_1,r_2 must also be integers. This means r_1,r_2 must be factors of 10. There are several possibilities:

r_1=\pm10,r_2=\pm1\implies b=-(10+1)=-11\text{ or }b=-(-10-1)=11

r_1=\pm5,r_2=\pm2\implies b=-(5+2)=-7\text{ or }b=-(-5-2)=7

So there are 4 possible values for b: -11, -7, 7, and 11.

7 0
3 years ago
The rates of return on the investments in a large portfolio had mound shapeddistribution, with a mean of 20% and a standard devi
Scilla [17]

Answer:

a) 68% of the investments had a return of between 10% and 30%.

b) 32% of investments had a return that was either less than 10% or morethan 30%.

Step-by-step explanation:

We can use the Empirical Rule to solve this question:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean. This also means that 32% of the measures are more than 1 standard deviation from the mean.

95% of the measures are within 2 standard deviation of the mean. This also means that 5% of the measures are more than 2 standard deviations from the mean.

99.7% of the measures are within 3 standard deviations of the mean. This also means that 0.3% of the measures are more than 3 standard deviations from the mean.

In this problem, we have that:

Mean = 20%.

Standard deviation = 10%.

a. What proportion of the investments had a return of between 10% and 30%?

10 is the mean subtracted by 1 one standard deviation

30 is one standard deviation added to the mean.

So 10 and 30 are within 1 standard deviation of the mean. So 68% of the investments had a return of between 10% and 30%.

b. What proportion of investments had a return that was either less than 10% or morethan 30%?

This is the proportion of investments that were farther than one standard deviation of the mean.

By the Empirical Rule, 32% of investments had a return that was either less than 10% or morethan 30%.

6 0
3 years ago
What is the equation in slope-intercept form? 10x + 4y = 16
REY [17]

10x+4y = 16

10x-10x+4y = 16-10x

4y/4 = 16/4 - 10x/4

y = - 5x/2 + 4 (Slope-Intercept form).

4 0
3 years ago
Experimental Probability
Maslowich
The fractions 2/18 and 1/9 are equivalent because the prior reduces to the latter. The first answer is correct, as instead of the four occurrences of the number two, Juan used the number two.  The correct fraction should have been 4/18. The number of occurrences over the number of times the dice was rolled, not 2/18, the quantity over the number of rolls. 
Hope this simplifies it, 
Ahawk
3 0
3 years ago
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