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Juliette [100K]
2 years ago
8

Simplify 14^15 over 14^5

Mathematics
1 answer:
enyata [817]2 years ago
4 0
14^10. Minus the powers 15 - 10
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In the right triangle shown below, what is the sine of angle θ?
algol [13]

Step-by-step explanation:

In given rt.angled triangle,

Sin thita =p/h

=26.1/28.7

=0.9094

So correct answer is option D.

3 0
2 years ago
Bobby is testing the effectiveness of a new cough medication. There are 100 people with a cough in the study. Seventy patients r
Tresset [83]

Answer:

0.665

Step-by-step explanation:

Given:  100 people are split into two groups 70 and 30.  I group is given cough syrup treatment but second group did not.

Prob for a person to be in the cough medication group = 0.70

Out of people who received medication, 34% did not have cough

Prob for a person to be in cough medication and did not have cough

=\frac{0.70(34)}{60}=0.397


Prob for a person to be not in cough medication and did not have cough

=\frac{0.3(20)}{30}=0.20

Probability for a person not to have cough

= P(M1C')+P(M2C')

where M1 = event of having medication and M2 = not having medication and C' not having cough

This is because M1 and M2 are mutually exclusive and exhaustive

SO P(C') = 0.397+0.2=0.597

Hence required prob =P(M1/C') = \frac{0.397}{0.597}=0.665

4 0
3 years ago
Read 2 more answers
Need help ASAP please and thank you
noname [10]

Answer:

-3m^{12}{n^{6} }

Step-by-step explanation:

To begin simplifying this, we can first divide the coefficients, giving us:

\frac{-3m^{5}n^{4}  }{m^{-7} n^{-2} }

We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

\frac{-3m^{5+7} n^{4+2} }{1}

Now, simplifying this gets:

-3m^{12}{n^{6} }

8 0
3 years ago
Choose the pair of events that is mutually exclusive.​
barxatty [35]

Answer:

even numbers greater than 50 and prime numbers greater than 50

Step-by-step explanation:

An event can be considered as mutually exclusive in probability and statistics when two sample propositions cannot be held as true by any means. Therefore, the pair that clearly illustrates a mutually exclusive event would be "even numbers greater than 50 and prime numbers greater than 50."

The only prime number that is even is 2, so even numbers over 50 would be divisible by 2, and then not prime.  

5 0
3 years ago
Lance says that you can compare any decimal numbers the way that you alphatbetize words you can tell which number is first by co
Afina-wow [57]

Answer:

No, Lance's thinking is wrong because you cannot compare decimal numbers with alphabetizing words. For example, if we compare 37.6 to 7.42 using the method of Lance, we would probably say 37.6 is less than 7.42 because 3 is less than 7. But it is wrong. The 3 in 37.6 is in the tens place. On the other hand, 7.42 contains no tense. Therefore, 37.6 is actually higher.

Step-by-step explanation:

No, Lance's thinking is wrong because you cannot compare decimal numbers with alphabetizing words. For example, if we compare 37.6 to 7.42 using the method of Lance, we would probably say 37.6 is less than 7.42 because 3 is less than 7. But it is wrong. The 3 in 37.6 is in the tens place. On the other hand, 7.42 contains no tense. Therefore, 37.6 is actually higher.

6 0
3 years ago
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