Answer:
The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.
Step-by-step explanation:
Originally Triangle has height =3.5cm and width=4cm
Beth enlarged the same triangle by scale of 5 and calculate area of triangle
The area of triangle as given as A= $$\frac{1}{2} \texrm{ (base) (height)}$$
Area of original triangle is A =$$\frac{1}{2}(3.5 \times 4)$$
Since, The triangle is enlarged by scale of 5
New height =3.5x5 = cm and new width=4x5cm
Area of new triangle is
A' = $$\frac{1}{2} (\textrm{new width} ) ( \textrm{new height})$$
A' = $$\frac{1}{2}(3.5 \times 5)(4\times 5)$$
A' = $$\frac{1}{2}(3.5 \times 4)(5^{2})$$
A' = $$A (5^{2})$$
Now, Looking what error beth made is:
Beth found Area of new triangle is A' = $$\frac{1}{2}(3.5)(4)(5)$$
The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.
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Answer:
One form of an equation is given by
y=a(x−h
)
2
+k
y=a(x−h)2+k
where
(h,k)
(h,k)
the coordinates of the vertex and
(h,k+
1
4a
)
The parabola is symmetric with respect to
y=x
y=x
and can be viewed as a standard downward parabola with a rotation of 45 degrees clockwise. So, follow the steps below to obtain its equation.
1) The length between the focus and vertex is
f=
4
2
+
4
2
−
−
−
−
−
−
√
=4
2
–
√
f=42+42=42
. The standard equation is
y=−
1
4f
x
2
y=−14fx2
.
2) Shift the vertex to (-2, -2),
y+2=−
1
16
2
–
√
(x+2
)
2
y+2=−1162(x+2)2
3) Rotate the equation -45-degrees
x→
1
2
√
(x−y)
x→12(x−y)
,
y→−
1
2
√
(x+y)
y→−12(x+y)
to get
−
1
2
–
√
(x+y)+2=−
1
16
2
–
√
(
1
2
–
√
(x−y)+2)
2
Step-by-step explanation:
The experiment could be considered as a Bernoulli trial, modeled by the Binomial distribution.
n = 20, number of trials
p = 1/2, the probability of success
q = 1-p = 1/2, probability of failure
The probability of at least 14 successes in 20 trial is
P(success>=14) = ₂₀C₁₄ p¹⁴ q²⁰⁻¹⁴
= 0.037
Answer: 0.037
This answer is plausible.
