Helen draws a random circle.

Answer: 40

Step-by-step explanation:

a) The hypothesis states that the mean is different from 0.5025 and has been rejected. b) The p-value computed is 0. c) A confidence interval is established as 0.50456 < u < 0.50464. The hypothesis testing is based on a given standard deviation (s.d.) of 0.0001, a sample mean of x = 0.5046 from a sample size of n = 25. The two-sided alternative and significance level of 0.05 were assumed. A Z-score was calculated to show that the hypothesis is rejected since the mean differs from 0.5025.

$125,060,000

one-hundred twenty-five million, and sixty thousand dollars

Also, 125.06 expressed as a fraction is 6253/50, if that representation is acceptable.

You can refer to it as 125.06 million dollars when using the figure from the prompt.

Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:

From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.

Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.

Thus, the triangle's area is approximately 0.37 square units.

Answer:

The correct options are:

The term 5x³ can be removed

The power of the first term, 5x³, can be modified to 2 and combined with the second term, 2x²

Explanation:

The degree of an expression is identified by its highest exponent.

The expression in question is:

5x³ + 2x² + 7x - 3

Observing this, we see that the highest exponent is 3, indicating that the expression’s degree is 3.

A quadratic function is defined as having degree 2, meaning the highest degree must be 2.

Thus, Martha must eliminate the term with degree 3 (5x³) from her function.

This can be achieved through two methods:

1- She can simply remove the term with the third degree.

2- She can change the term with degree 3 to a lower degree and combine it with an existing like term.

Evaluating the options, we conclude the two accurate choices are:

- The term 5x³ can be eliminated.

- The exponent on the first term, 5x³, can be reduced to 2 and subsequently joined with the second term, 2x².

I hope this is helpful!:)