Convert 2.1 yd/min = ft/s

Maria will use a 1 fourth-gallon pitcher to fill an empty 2 thirds-gallon jug for her lemonade stand. How much lemonade will she

katen-ka-za [31]

divide 2/3 by 1/4

2/3 / 1/4 = 2/3 * 4/1 = 8/3 = 2 2/3

Answer is B

6 0

3 years ago

Solve the perimeter for an isosceles triangle, p=2a+b, for a.

Snowcat [4.5K]

Answer:

a= 1/2p-b

Step-by-step explanation:

p=2a+b

divide by 2 on both sides

1/2 p = a+b

subtract b from both sides

1/2 p - b = a

flip equation (not needed, just personal preference)

a= 1/2p-b

(Sorry if I didn't understand well enough and got it wrong)

5 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

The volume of B is 160 millilitres. Work out the volume of A.

8_murik_8 [283]

Answer:32

Step-by-step explanation: The volume of A is 32:)

4 0

3 years ago

The table shows the number if votes for the new school mascot. What percent of the students chose a mascot other than Tigers?

eduard

The total votes are 50. If you are finding out the percentage of students that did not choose the Tigers, you would subtract the Tigers votes from the total. 50-14 =36. 36/50 would equal .72, turn that into a percent and you have 72% of students not voting for Tigers.

7 0

3 years ago