Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of customers that recognize a new product out of 120.
There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.
The sample proportion obtained is:
p'= 54/120= 0.45
Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p;
)
The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5
The probability of getting the calculated sample proportion, or lower is:
P(X≤0.45)= P(Z≤
)= P(Z≤-3.35)= 0.000
This type of problem is for the sample proportion.
I hope this helps!
Answer:
Step-by-step explanation: How do you find the 3rd angle of a triangle?
Image result for im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
The three angles of any triangle add up to 180 degrees. Since you know two angles (35 and 40), add them together, then subtract the total from 180 to determine the degree of the third angle.
Let the positive number be
The expression is
⇒ expanding the bracket gives,
⇒ rearranging to equate one side to zero
⇒ Dividing each term by 7 to simplify
⇒ Factorising gives
and
Hence, the first number is -5 and the second number is 3
Answer:
-2w+5z-5
Step-by-step explanation:
-8w+(-4z)+2+6w+9z-7
Step 1: Group the terms together
-8w+6w+(-4z)+9z+2-7
Step 2: Add like terms
(-8w+6w)+(-4z+9z)+(2-7)
-2w+5z-5
Thats as simplified as it can get :)
The hypotenuse angle theorem<span> basically states that if the hypotenuse and an acute angle of one right triangle</span><span> are congruent to the </span>hypotenuse<span> and an acute </span>angle<span> of another right triangle, then the two triangles are congruent.
So I would say D is correct</span>
