I need help on fractions and decimal world problems

Find 25% of 108 grams.

Elenna [48]

Answer:

27 Grams

Step-by-step explanation:

4 0

3 years ago

Consider a binomial experiment with n = 10 and p = 0.10. (a) Compute f(0). If required, round your answer to four decimal places

ss7ja [257]

Answer:

(a) The value of f (0) is 0.3487.

(b) The value of f (2) is 0.1937.

(c) The value of P (X ≤ 2) is 0.9298.

(d) The value of P (X ≥ 1) is 0.6513.

(e) The value of E (X) is 1.

(f) The value of V (X) is 0.9 and σ is 0.9487.

Step-by-step explanation:

The random variable X follows a Binomial distribution with parameter n = 10 and p = 0.10.

The probability mass function of X is:

$P(X=x)={10\choose x}0.10^{x}(1-0.10)^{10-x};\ x=0,1,2,3...$

(a)

Compute the value of f (0) as follows:

f (0) = P (X = 0)

$={10\choose 0}0.10^{0}(1-0.10)^{10-0}\\=1\times 1\times 0.348678\\=0.348678\\\approx0.3487$

Thus, the value of f (0) is 0.3487.

(b)

Compute the value of f (2) as follows:

f (2) = P (X = 2)

$={10\choose 2}0.10^{2}(1-0.10)^{10-2}\\=45\times 0.01\times 0.43047\\=0.1937115\\\approx0.1937$

Thus, the value of f (2) is 0.1937.

(c)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$=\sum\limits^{0}_{2} {{10\choose x}0.10^{x}(1-0.10)^{10-x}}\\=0.3487+0.3874+0.1937\\=0.9298$

Thus, the value of P (X ≤ 2) is 0.9298.

(d)

Compute the value of P (X ≥ 1) as follows:

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

= 1 - 0.3487

= 0.6513

Thus, the value of P (X ≥ 1) is 0.6513.

(e)

Compute the expected value of X as follows:

$E(X)=n\times p$

$=10\times 0.10\\=1$

Thus, the value of E (X) is 1.

(f)

Compute the variance of X as follows:

$V(X)=np(1-p)$

$=10\times 0.10\times (1-0.10)\\=0.90$

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{V(X)}$

$=\sqrt{0.90}\\=0.94868\\\approx0.9487$

Thus, the value of V (X) is 0.9 and σ is 0.9487.

8 0

4 years ago

Bill makes four payments a year of $128.25 for life insurance; four payments of $161.82 for real estate taxes; twenty-four payme

USPshnik [31]

128.25 × 4 = 513
162.82 × 4 = 651.28
37.46 × 24 = 899.04
221.65 × 6 = 1329.9
So add them all up.
3393.22

8 0

3 years ago

PLEASE HELP I WILL GIVE A BRAINLIEST!!! THANK U.

lbvjy [14]

Answer:

I wish I was smart in math because that looks hard!!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A cell phone that regular costs $780 is on sale for 15% off. What is the total cost of the phone if you have to pay 5.5% sales t

Alex_Xolod [135]

Answer:

$700

Step-by-step explanation:

Step one:

Given data

Regular cost of cell phone= $780

discount = 15%

tax = 5.5%

Step two

Let us compute the discounted amount

= 15/100*780

=0.15*780

=$117

hence the selling price is

=780-117

=$663

Also, the tax-deductible is

=5.5/100*663

=0.055*663

=$36.465

The total cost of the phone will be

=663+36.465

=699.465

=$700 to the nearest cent

8 0

3 years ago

I need help on fractions and decimal world problems​

I need help on fractions and decimal world problems