Answer:
The measure confirming that PQRS would be 25
Step-by-step explanation:
It's easier if you draw it down.
1. We need to make this shape a parallelogram and the way we will do that is by making angle Q and angle S the same, because in parallelograms those opposite angles are required to be the same.
\
155 \
P \ -------------------------\ Q
\ 25 \
\ \ so that's your shape
S \______________\ R
2.We were given that the exterior angle of Q measures 155, and since exterior and interior angles combined make 180, then we can assume that the interior angle of Q is 25.
3. As mentioned before, in a parallelogram, opposite angles are the same and therefore PSR (which is just asking for the middle letter, S) is equal to 25 because Q is also 25.
Answer: First game;rock, paper, rock. Second game ;scissors, rock, scissors. Third game;paper, paper,rock. Fourth game;scissors, scissors, paper.Fith game ;rock, paper, paper.
Step-by-step explnation:
Personal expirience playing this game five timed in a row.
Basically what tou have to do in order to find this answer, is to find the rule. The rule in this partiular problem is 1.236 because 3.236-2=1.236. So since the rule is 1.236, all you have to do is 1.236 to 3.236 which is 2.472.
If he maintained a steady speed, he would drive 3 kilometers far after 3 hours.
<h3>What is steady speed?</h3>
Uniform or steady speed refers to a body's motion in a given direction without acceleration.
Since steady speed means a constant speed in changing time intervals, we would consider he speed as 1 km/h.
Time for which he is maintaining the steady speed is 3 h.
We know by the formula, Distance = Speed × Time
Therefore, putting the values given we get
Distance = 1 × 3 kilometers
Hence, distance travelled by he after 3 hours of maintaining steady speed is 3 kilometers.
To learn more about speed, time and distance, visit :
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we have 25 individuals that are randomly selected out of 100 shoppers leaving a local bedding store, and we know that each of the shoppers has the SAME probability of answering yes to having made a purchase, so we can assume that the probability that a person or a shopper made a purchase is 1 / 12.
Also we know that we selected 25 individuals, so there are 25 shoppers that can say yes, that means our sample size N is 25.
and you want to know the probability that exactly 4 of the 25 shoppers made a purchase
this is a binomial distribution because we can see that we have a sample size n = 25, we have a proportion of success, 1/2to say yes to having made a purchase and we can say that each shopper is independently from the other shoppers.
So the binomial equation is given by: (check the attached image)
so we know that we want P(X=4) because we want to know exactly 4 out of 25.
so n is 25, p is 1/2 and x is 4 so substituting the values into the equation we will get:
P(X=4) = 25C4 * (1/2)^4 * (1 - 1/2)^(25-4)
P(X=4) = 12650 * 0.0625 * 0.000000476
P(X=4) = 0.000377
the probability that exactly 4 of the 25 shoppers made a purchase is....0.00010243