Answer:
5x^2-2x-3
Step-by-step explanation:
Answer:
0.1169
Step-by-step explanation:
We solve the question using the z score formula
z = (x-μ)/σ/√n where
x is the raw score = 4800 miles
μ is the population mean = 4550 miles
σ is the population standard deviation = 1470 miles
n is the random number of samples = 49 drivers
Greater than sign = >
For x > 4800 miles
z = 4800 - 4550/1470/√49
= 4800 - 4550/1470/7
= 4800 - 4550/210
= 1.19048
Probability value from Z-Table:
P(x<4800) = 0.88307
P(x>4800) = 1 - P(x<4800)
P(x>4800) = 1 - 0.88307
P(x>4800) = 0.11693
Approximately to 4 decimal places = 0.1169
Therefore, the probability that these drivers have a sample mean greater than 4800 miles is 0.1169
Vertex: V=(0,0)=(h,k)→h=0, k=0
Opens downward:
(x-h)^2=4p(y-k)
Width focal: p=-6<0 (donwnward)
Replacing h=0, k=0 and p=-6 in the equation above:
(x-0)^2=4(-6)(y-0)
x^2=-24y
Answer: The equation of the parabola is x^2=-24y
3 * 7 * 67
Mark brainliest please
Hope this helps you
Answer:
Refer below explanation.
Step-by-step explanation:
Given : two triangles ∆QPK and ∆LMK.
We have to show ∆QPK ≅ ∆LMK.
Two triangles are similar if ratio of the corresponding sides are equal and measure of corresponding angles are equal.
Statement 1)
QK=16, PK=26, MK=65, KL=40 ( Reason: Given)
Statement 2 )
(reason : ratio of corresponding sides)
Statement 3)
Thus,
(reason: simplify ratios)
Statement 4)
∠MKL = ∠PQK (reason : Vertically opposite angles)
Statement 5)
∆QPK ≅ ∆LMK (reason : Side-angle-side)
Side angle side similarity criterion states that two angles are similar if the ratio of their corresponding sides and angle between these sides are equal then triangles are similar.