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aev [14]
3 years ago
11

An instructor gives a class a set of 10 problems and says that the nal exam will consist of a random selection of 5 of the probl

ems. If a student has gured out how to solve 7 of the problems, what is the probability that he or she will answer at least 4 problems correctly?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)

Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

= [(35 x3)/252 ] + [21/252]

= [ 105/252 ] + [ 21/252 ]

= 126 / 252

= 0.5

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Which equation shows that the Pythagorean identity is true for 0 = 180 degrees? select the equation that is in the form sin^2 0+
elixir [45]

The equation in the form of the given expression is (0)² + (1)² = 1

<h3>Trigonometry identity</h3>

According to some of the trigonometry identity

sin 0 = 0

cos 0 1

Given the expression below

sin^2 0+cos^2 0=1

This can also be expressed as:

(sin0)² + (cos0)² = 1

Substitute

(0)² + (1)² = 1

Hence the equation in the form of the given expression is (0)² + (1)² = 1

Learn more on trig identity here: brainly.com/question/20094605

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8 0
2 years ago
(1.2×10^2) + (3.04×10^5)
PSYCHO15rus [73]

(1.2×10^2) + (3.04×10^5)

They must be to the same power to add

3.04 *10^5   to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2

1.2 * 10^2   + 3040 *10^2=

add the numbers keep the exponents the same

3041.2 * 10^2

there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent

3.0412 * 10 ^ (2+3)

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8 0
3 years ago
How is adding and subtracting decimals different from adding and subtracting whole numbers?
Monica [59]
It isn't different, it is very much the same
1-1 = 0
.1-.1 = 0
5.25 - 3.75 = 1.50
1.0005 +1.005 = 2.0055
just make sure to line the decimal places on top of each other <span />
7 0
3 years ago
Read 2 more answers
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gggggg Step-by-step explanation:

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5 0
3 years ago
The vertex of a parabola represented by f(x)=x^2 - 4x + 3 has coordinates (2,-1). Find the coordinates of the vertex of the para
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f(x)=x^2-4x+3
a=1, b=-4, c=3
If the vertex has coordinates (2;-1)(p=2,q=-1) we can write vertex form of a parabola equation:
f(x)=a(x-p)^2+q
f(x)=1(x-2)^2-1

We need to put (x-2) at the place of (x) in f(x) equation to get g(x)
g(x)=1[(x-2)-2]^2-1
g(x)=(x-2-2)^2-1
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So:
p=4, q=-1

Vertex of the parabola defined by g(x)=f(x-2) has the vertex at \boxed{(4;-1)}

:)
7 0
2 years ago
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