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3 years ago

Determine a series of transformations that would map Figure D onto Figure E.

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

3 0

Answer:

According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take

Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where

Step-by-step explanation:

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Review: Angle Bisectors

zmey [24]

Answer:

m∠AOC = 15°

m∠BOC = 15°

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

m∠AOC

m∠BOC

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

m∠AOC = 15°

m∠BOC = 15°

7 0

3 years ago

A large container holds 8 gallons of water. It begins leaking at a constant rate. After 32 minutes the container has 6 gallons l

anzhelika [568]

Answer:

1 gallon every 16 minutes

Step-by-step explanation:

If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.

8 0

4 years ago

"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f

yuradex [85]

Answer:

$P(X = 4 ) = 0.1876$

$P(X \le 4) = 0.8358$

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

$X \ \ ~ Bin (n , p )$

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

$P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}$

=> $P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}$

Here C stand for combination

=> $P(X = 4 ) = 0.1876$

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

$P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]$

=> $P(X \le 4) = 0.8358$

4 0

3 years ago

A movie club surveyed 150 high school students. The students were asked how often they go to the movies and whether they prefer

erma4kov [3.2K]

Answer:a)

a) 68%

b) 44%

Step-by-step explanation: a) (51+51)/150 × 100 = 102/150 × 100

= 17/25 × 100

= 68%

4 0

3 years ago

If you want another good app for math I suggest Conects

Elodia [21]

Thank you so much for the tip

4 0

3 years ago