Jackie runs and dances for 75 minutes every day.

There exist two coefficients: one pertains to x raised to the first degree, and another corresponds to the zeroth degree of x (the constant term).

Thus:
the coefficient for the constant term is 42 (i.e. 42x^0=42).
the coefficient for the linear term is 2 (i.e. 2x^1=2x)

Nearest hundred thousand: 100,000

Nearest ten thousand: 130,000

Nearest thousand: 127,000

The amount that is closest to the actual attendance is 127,000 when rounded to the nearest thousand.

Answer:

The anticipated number of tests required to identify 680 acceptable circuits is 907.

Step-by-step explanation:

For any circuit, there are two potential results: it either passes the test or it fails. The likelihood of passing is independent between circuits. Therefore, we apply the binomial probability distribution to address this scenario.

Binomial probability distribution

This distribution calculates the chance of obtaining exactly x successes across n trials, where x has only two possible outcomes.

To find the expected number of trials to achieve r successes with a probability p, the formula is given by:

Circuits from a specific factory pass a certain quality evaluation with a probability of 0.75.

Thus, to determine the expected number of tests needed for 680 acceptable circuits, let’s denote this as E where r = 680.

The expected number of tests necessary to find 680 acceptable circuits is 907.

Answer:

0.03

Step-by-step explanation:

Yes, we all appreciate the copy and paste from Khan Academy

Answer:

24

Step-by-step explanation:

Based on the logarithmic expressions given , we need to identify the value of

By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function , we will derive;

Therefore, the result of the logarithmic expression is 24