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Lina20 [59]
3 years ago
14

When a fair coin is tossed three times, what is the probability that all three tosses are heads?

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:

All three times being heads are 1/8

Step-by-step explanation:

1/2 x 1/2 x 1/2 = 1/8

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Dennis, Emily, and Fernando want to find the zeros of the polynomial p(x)=x3+6x2+9x. Each student worked independently and prese
alexandr402 [8]

Answer:

  • Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
  • Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
  • Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.

Step-by-step explanation:

The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.

3 0
3 years ago
The three oldest child need shoes.you find a store that has shoes on sale. All shoes in the store are a marked $10 per pair.you
bagirrra123 [75]
The best deal would be "three for the price of two" since buying one and 25 percent off would be 17.5 plus 10 for a third one is 27.5 compared to 20 for 3
8 0
3 years ago
The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

This is a quadratic equation which can be solved using a quadratic equation as shown below:

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0
3 years ago
If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the pe
ValentinkaMS [17]

Answer:

300 %

Step-by-step explanation:

Length of the larger cube =4 cm

So volume V=side^3=4^3=64cm^3

Length of the smaller cube = 1 cm

Volume of the smaller cube V=side^3=1^3=1cm^3

So total number of smaller cube =\frac{64}{1}=64

Surface area of the larger cube A=6\times side^2=6\times 4^2=144cm^2

Surface area of the 64 smaller cube A=64\times 6\times side^2=64\times 6\times 1^2=384cm^2

So percentage increase in surface area =\frac{384-96}{96}\times 100=300 %

6 0
3 years ago
A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually.
Ghella [55]
A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years
3 0
3 years ago
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