How many inches are in 3 feet 8 inches

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

3 x 12 = 36 + 8 = 44

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Salma sold 600 liters of soda at a baseball game. How much is this in milliliters?Be sure to include the correct unit in your answer. mL mg kL kg

Can I please get a hand with this Thank you <3

Answers

The correct answer is B

A study was conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results: weight gain over a 2 year period (kgs) = 4.5 + 0.25(servings of soda per day) what is the predicted weight gain over a 2 year period for someone that drinks 4 servings of soda per day?

Answers

Answer:

5.5kg

Step-by-step explanation:

Given that in a study conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results:

Let y = weight gains over a two year period (kg) and

x = servings of soda per day

Then the regression equation estimated is

$4.5+0.25x =y$

Using this we can find unknown y for a given x.

When x =4 we get y by substituting x =4 in the equation

$y (4) = 1+4.5 = 5.5$

Weight gain = 5.5 kg.

Let C be the unit circle in the xy-plane, oriented counterclockwise as seen from above. The divergence of the vector field F~ = (z, x, y) is zero, and as a result the flux through every surface with boundary C should be the same. Confirm that this is the case with the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane

Answers

Upper half of the unit sphere (call it $S_1$ ): parameterize by

$\vec s(u,v)=(\cos u\sin v,\sin u\sin v,\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ . Take the normal vector to be

$(\partial\vec s)/(\partial v)*(\partial\vec s)/(\partial u)=(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)$

Then the flux of $\vec F$ over this surface is

$\displaystyle\iint_(S_1)\vec F\cdot\mathrm d\vec S=\int_0^(\pi/2)\int_0^(2\pi)(\cos v,\cos u\sin v,\sin u\sin v)\cdot(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^(\pi/2)\int_0^(2\pi)\cos u\sin^2v\cos v+\cos u\sin u\sin^3v+\sin u\cos v\sin^2v=\boxed{0}$

Lower half of the sphere (call it $S_2$ ): all the details remain the same as above, but with $\frac\pi2\le v\le\pi$ . The flux is again $\boxed{0}$ .

Unit disk (call it $D$ ): parameterize the disk by

$\vec s(u,v)=(u\cos v,u\sin v,0)$

with $0\le u\le1$ and $0\le v\le2\pi$ . Take the normal vector to be

$(\partial\vec s)/(\partial u)*(\partial\vec s)/(\partial v)=(0,0,u)$

Then the flux across $D$ is

$\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^(2\pi)\int_0^1(0,u\cos v,u\sin v)\cdot(0,0,u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^(2\pi)\int_0^1u^2\sin v\,\mathrm du\,\mathrm dv=\boxed{0}$

Final answer:

The flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same and it is zero.

Explanation:

The divergence of the vector field F~ = (z, x, y) is zero. Therefore, the flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same.

This can be confirmed by considering that the electric flux through a closed surface is zero if there are no sources of electric field inside the enclosed volume. Since there are no charges inside the surfaces mentioned, the flux through each surface is zero.

Therefore, the flux through the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane is the same, and it is zero.

Learn more about Electric Flux here:

brainly.com/question/38239959

#SPJ3

"India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population control, some argue that the birth rate, especially in rural India, is still too high to be sustainable. A demographer assumes the following probability distribution for the household size in India. Col1 Household Size 1 2 3 4 5 6 7 8 Col2 Probability 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 a. What is the probability that there are less than 5 members in a household in India"b. What is the probability that there are 5 or more members in a typical household in India? (Round your answer to 2 decimal places.)Probability
c. What is the probability that the number of members in a typical household in India is strictly between 2 and 5? (Round your answer to 2 decimal places.)

Probability

Answers

The probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively

Probability distribution

Given the probability distribution for the household size in India as shown;

X 1 2 3 4 5 6 7 8 Total

P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00

a) The probability that the number of members in a typical household in India is strictly less than 5 is given as:

P(X < 5) = P(X=1) + P(X=2) + P(X=3) + P(X=4)

P(X < 5) = 0.02+ 0.09 + 0.18 + 0.25

P(X < 5) = 0.54

b) The probability that the number of members in a typical household in India is greater or equal to 5 is given as:

P(X ≥ 5) = P(X=5) + P(X=6) + P(X=7) + P(X=8)

P(X ≥ 5) = 0.20 + 0.12 + 0.08 + 0.06

P(X ≥ 5) = 0.46

c) The the probability that the number of members in a typical household in India is strictly between 2 and 5

P(2 < X < 5) = P(X=3) + P(X=4)

P (2 < X < 5) = 0.18 + 0.25

P (2 < X < 5) = 0.43

Hence the probability that the number of members in a typical household in India is less than 5, greater than or equal to 5, and strictly between 2 and 5 are 0.54, 0.46, and 0.43 respectively

Learn more on probability distribution here: brainly.com/question/24756209

Answer:

0.54,0.46,0.43

Step-by-step explanation:

Given that India is the second most populous country in the world, with a population of over 1 billion people.

The pdf of household size say X in India varies from 1 to 8.

The distribution is shown as follows

X 1 2 3 4 5 6 7 8 Total

P 0.02 0.09 0.18 0.25 0.20 0.12 0.08 0.06 1.00

a) the probability that there are less than 5 members in a household in India

= $P(X<5)$

= $P(1 to 4) = 0.54$

b. the probability that there are 5 or more members in a typical household

in India

= $P(X\geq 5) = P(5 to 8)\n\n= =0.46$

c) the probability that the number of members in a typical household in India is strictly between 2 and 5

$=P(2<x<5) = P(3)+P(4)\n=0.43$

Quinton had a gross income of $2741.67 during each pay period in 2009. If he got paid monthly, how much of his pay was deducted for FICA in 2009?

Answers

Answer:

$2,516.85

Step-by-step explanation:

Quinton had a monthly gross income of $2741.67.

He was paid yearly = $2741.67 × 12 = $32,900.04

FICA tax is social security tax (6.2%) and medicare tax (1.45%)

FICA tax rate = 6.2% + 1.45% = 7.65%

FICA tax deduction = 7.65% × 32,900.04

= 0.0765 × 32,900.04

= $2,516.85

His pay was deducted for FICA $2,516.85

Answer:

$2516.85

Step-by-step explanation:

a p e x

Plssss help congruent triangles exercises .

Answers

Answer:

2. ASA can be used with the definition of an isosceles triangle

3. x = 5 5/6

Step-by-step explanation:

2.

Using the given information, the definition of an isosceles triangle tells us, ...

∠A = ∠C and ∠A = ∠ABM and ∠C = ∠CBN

By substitution, ∠ABM = ∠CBN. This lets us declare ΔAMB ≅ ΔCNB by ASA, where the sides between the angles are AB and CB.

3.

If the angles of interest are the same, then the triangles are similar. That means corresponding sides have the same ratio:

AB/AD = CB/CE

x/7 = (10-x)/5

5x = 7(10 -x) = 70 -7x . . . . . multiply by 35, simplify

12x = 70 . . . . . . . . . . . add 7x

x = 70/12 = 35/6

x = 5 5/6

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