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worty [1.4K]
2 years ago
10

Which two numbers multiply to 60 and add to -2?

Mathematics
1 answer:
USPshnik [31]2 years ago
8 0
xy=60\\
x+y=-2\\\\
xy=60\\
x=-y-2\\\\
(-y-2)y=60\\
-y^2-2y-60=0\\
y^2+2y+60=0\\
y^2+2y+1+59=0\\
(y+1)^2=-59


There are no such numbers in real numbers.
Do you perhaps want a solution in complex numbers?
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A sociologist was investigating the ages of grandparents of high school students. From a random sample of 10 high school student
umka2103 [35]

Answer:

(69.8-71.6) -2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= -8.908  

(69.8-71.6) +2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= 5.308  

So then the confidence interval for the difference of means is given by:

-8.908 \leq \mu_M -\mu_F \leq 5.308

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X_{M}= 69.8 represent the mean for the age of grandmother

\bar X_{F}= 71.6 represent the mean for the age of grandfather

s_{M}= 8.38 represent the sample deviation for the age of grandmother

s_{F}= 6.65 represent the sample deviation for the age of grandfather

n_M = n_F= 10

Solution to the problem

For this case the confidence interval is given by:

(\bar X_{M} -\bar X_F) \pm t_{\alpha/2} \sqrt{\frac{s^2_M}{n_M} +\frac{s^2_F}{n_F}}

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n_M +n_F-2=10+10-2=18

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that t_{\alpha/2}=2.101

And replacing we got:

(69.8-71.6) -2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= -8.908  

(69.8-71.6) +2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= 5.308  

So then the confidence interval for the difference of means is given by:

-8.908 \leq \mu_M -\mu_F \leq 5.308

5 0
3 years ago
How does the Moon reflect sunlight as it orbits Earth, creating predictable<br>cyclic patterns?​
kogti [31]
Hmmm very good question
4 0
2 years ago
Please help Slove for x
gayaneshka [121]

Answer:

x = 20

Step-by-step explanation:

These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).

3x - 10 + 5x + 30 = 180          add/subtract all like terms

8x + 20 = 180

8x = 160

x = 20  <--- This will be your answer

Hope it helps!

7 0
3 years ago
There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it is not replaced. Find the probability of re
mote1985 [20]

Answer:

11/306

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to  the  number of total outcome.

Given that  there are 4 red, 8 yellow, and 6 blue socks in a drawer where the  probability of  picking a red, yellow and blue socks be  p(r), p(y), and p(b) respectively.

The probability of reaching into the drawer without looking and drawing out 2 blue socks

= 6/(4 + 8 + 6) * 5/(4 + 8 + 5)

= 6/18 + 5/17

= 11/306

8 0
3 years ago
Is (6,7) a solution to the inequality 15x+11y&gt;12
astra-53 [7]

Answer:

(6,7) is a solution

Step-by-step explanation:

To determine if (6,7) is a solution, we substitute the point in and see if the inequality is true

15x+11y>12

15(6) + 11(7) >12

90+77 > 12

167>12

This is true so (6,7) is a solution

8 0
3 years ago
Read 2 more answers
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