M + s = 10 or s = 10 - m
<span>3m + 2s = 23 </span>
<span>substitute first equation into second equation: </span>
<span>3m + 2(10 - m) = 23 </span>
<span>3m + 20 - 2m = 23 </span>
<span>m = 3 </span>
<span>using first equation: </span>
<span>s = 10 - 3 = 7 </span>
<span>check using second equation: </span>
<span>3(3) + 2(7) = 23 </span>
<span>9 + 14 = 23 checks </span>
<span>He hit 7 stationary and 3 moving targets.</span>
Answer:
The real answer to this question is B
Step-by-step explanation:
I made a 100 on my quiz
To get both the equations in the form y=mx+b you’ll have to apply basic algebra to make y the subject of the formula. You’ll see how it is done in the image below. The first equation you’ll see I did in more detail to explain it better. Hope this helps
The inequality which represents possible values of the expression 2+sqrt 10 by virtue of the given inequality; 3.1 < sqrt 10 < 3.2 as in the task content is; 5.1 < 2 + sqrt 10 < 5.2.
<h3>Which inequality correctly expresses the possible values of the expression; 2 + √10 as required in the task content?</h3>
It follows from the task content that the expression given is;
3.1 < sqrt 10 < 3.2
Since the given premises is an inequality, it follows that adding the same number to all parts of the inequality stills holds the inequality true.
Hence by adding 2 to all parts of the inequality, we have;
2 + 3.1 < 2 + sqrt 10 < 2 + 3.2
Therefore, we have;
5.1 < 2 + sqrt 10 < 5.2
Ultimately, 5.1 < 2 + sqrt 10 < 5.2 represent the possible values of the expression 2+sqrt 10 as given by the inequality 3.1 < sqrt 10 < 3.2.
Read more on inequalities;
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Answer:
The events are not mutually exclusive because the P(A and B)=0.1 not 0
Step-by-step explanation:
Mutual exclusive events are those that can't happen at the same time.For example Tossing a coin, Head and Tail are mutually exclusive events because you can't get a Head and a tail at the same time.Another example is turning left and turning right are mutually exclusive because you can't do both at the same time.
If events are mutually exclusive, they can happen at the same time.
Mathematically,the probability of mutual exclusive events follows;
P(A and B)=0 ------------The probability of A and B together equals 0
P(A or B) = P(A)+P(B)-----The probability of A or B equals the probability of A plus the probability of B.
In this question you are given;
P(A)=0.3
P(B)=0.6
P(A or B) =P(A) + P(B)= 0.3+0.6 =0.9
0.9≠0.8 thus the events are not mutually exclusive.