Answer:
Step-by-step explanation:
Since they have the same base as 2, by the rule of a^m / a^n = a^m-n.
So 2^7 / 2^3 = 2^ 7-3 = 2^4 = 16
<span>The term that you want is 5C2*p^2*q^3
representing 2 successes and 3 failures. This term's value is</span>
<span>(5C2)(0.5^5)
= 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3% </span>
Answer:
1.
336-6=330
330÷6=55
55 Students in each bus
2.
242-11=231
231÷7=33
Each book was 33 dollars
3.
5+30+100=135
The smallest number is 5
4.
18-3=15
15÷8=1.8
Each candy bar was 1.8 dollars
5.
14-9=5
Her allowance is 5 dollars
6.
4+20+60=84
The smallest number is 4
7.
12-7=5
5×2=10
She had 10 in the begining
The inequality using variables x and y which satisfy the points are; y>-3x+3.
<h3>What is inequality?</h3>
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the points (2,5) and (-3,-5) lie on the boundary line.
The system of inequality is given by:
y>-3x+3-
Now, the point that will lie in the solution set to the following system of inequality are the point that satisfies the inequality.
a) (6, 5)
when x=6 and y= 5
then we have:
y>-3x+3
6 > -3×5 + 3
6>- 15+3
5 > -12
This means that the point will lie in the solution set.
Also, (-2, -3) when x= -2 and y= -3
then we have:
5 > -3×(-2) + 3
5> 6 + 3
5> 9
Hence, the inequality using variables x and y which satisfy the points are; y>-3x+3.
Learn more about inequality ;
brainly.com/question/14164153
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<span><u><em>Answer:</em></u>
10 meters
<u><em>Explanation:</em></u>
<u><em>First, we will compute 25% of 8 as follows:</em></u>
25% of 8 = 25% * 8
= 0.25 * 8
= 2
Now, 8 increased by 25% of 8 means that <u>we will add the 25% of the 8 that we computed to the 8</u> we have.
<u><em>Therefore</em></u>:
8 increased by 25% = 8 + 25% of 8
= 8 + 2
= 10 meters
Hope this helps :)</span>
