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3 years ago

Please help me I’m struggling :’(

Mathematics

1 answer:

Vesna [10]3 years ago

5 0

Answer:

B. $x = \sqrt{40}$

Step-by-step explanation:

Using Pythagorean theorem, find the value of x.

Pythagorean theorem is given as $c^2 = a^2 + b^2$

Where,

c is the longest side of a right angled ∆ = the hypotenuse = x

a and b are legs of the right angled ∆ = 2 and 6

Plug in the values into the equation and solve for x

$x^2 = 2^2 + 6^2$

$x^2 = 4 + 36$

$x^2 = 40$

$x = \sqrt{40}$

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2 years ago

V(t)=26,000(0.90^t) find the initial value and the value after 11 years

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3 years ago

Each hemisphere of isabels globe has a volume of 60,750 pie cm^3. What is the radius of her globe

zaharov [31]

Answer:

45cm

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Volume of an hemisphere = 1/2 of volume of a sphere

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Given

Volume of the hemisphere = 60,750πcm³

60,750π = 2/3πr³

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60,750 = 2/3r³

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3 years ago

What is 1 trillion squared?

Step2247 [10]

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3 years ago

Read 2 more answers

) Determine the probability that a bit string of length 10 contains exactly 4 or 5 ones.

yanalaym [24]

Answer: 0.4512

Step-by-step explanation:

A bit string is sequence of bits (it only contains 0 and 1).

We assume that the 0 and 1 area equally likely to any place.

i.e. P(0)= P(1)= $\dfrac{1}{2}$

The length of bits : n = 10

Let X = Number of getting ones.

Then , $X \sim Bin(n=10,\ p=\dfrac{1}{2})$

Binomial distribution formula : $P(X=x)=^nC_x p^x q^{n-x}$ , where p= probability of getting success in each event and q= probability of getting failure in each event.

Here , $p=q=\dfrac{1}{2}$

Then ,The probability that a bit string of length 10 contains exactly 4 or 5 ones.

$P(X= 4\ or\ 5)=P(x=4)+P(x=5)\\\\=^{10}C_4(\dfrac{1}{2})^{10}+^{10}C_4(\dfrac{1}{2})^{10}$

$=\dfrac{10!}{4!6!}(\dfrac{1}{2})^{10}+\dfrac{10!}{5!5!}(\dfrac{1}{2})^{10}$

$=(\dfrac{1}{2})^{10}(\dfrac{10!}{4!6!}+\dfrac{10!}{5!5!})$

$=(\dfrac{1}{2})^{10}(210+252)$

$=(0.0009765625)(462)$

$=0.451171875\approx0.4512$

Hence, the probability that a bit string of length 10 contains exactly 4 or 5 ones is 0.4512.

3 0

3 years ago