Answer:
A
Step-by-step explanation:
The figure has two disjoint pairs of consecutive sides which are congruent.
Thus the figure is a Kite
Using the properties of a Kite
• The diagonals are perpendicular
• The main diagonal diagonal bisects the pair of opposite angles
Hence ∠1 = 90° ( diagonals are perpendicular )
The angle 22° is a bisected angle so the angle below is also 22°
The sum of the 3 angles in a triangle = 180°, hence
∠2 = 180° - (90 + 22)° = 180° - 112° = 68°
The solution is A
Answer:
C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection
Step-by-step explanation:
A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer
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:
4
Step-by-step explanation:
Step 1: Subtract 8 from both sides.
17n+8−8=76−8
17n=68
Step 2: Divide both sides by 17.
17n/17
68/17
Answer:4
k<2(3.5) or simplified k<7
