This Venn diagram shows the pizza topping preferences for 9 students

Response:

477

Detailed explanation:

Provided information:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Utilizing the Z probability calculator:

P(x ≤ 2) = 0.97725;

P(x ≤ - 2) = 0.02275

Thus:

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Accordingly, number of readings in 500 trials:

0.9545 multiplied by 500 equals 477.25

≈ 477 values

Response:

b

Detailed explanation:

because that's the solution jfjfjdkdkdkdkdjdmf

Answer:

A Type I error could occur if the test shows that the proportion is above 90%, while in reality, the actual proportion is 90%.

Step-by-step explanation:

Machines in a factory produce circular washers that meet a specific diameter.

The quality control manager routinely assesses samples of washers to ensure that more than 90% conform to the specified diameter.

Let p represent the proportion of washers that meet the specified diameter

Thus, Null hypothesis: p = 90%

Alternative Hypothesis: p > 90%

Here, the null hypothesis posits that the proportion is exactly 90%. In contrast, the alternative hypothesis suggests that the proportion exceeds 90%.

Now, a Type I error indicates the probability of rejecting the null hypothesis while it is actually true or, in simple terms, the likelihood of incorrectly rejecting a valid hypothesis.

Thus, based on our question, a Type I error would declare that the test convincingly indicates the proportion is over 90%, while in truth, it remains 90%.

m = 6.57 and n = -2

Detailed explanation:

To solve this question, convert the thickness of a dollar bill into standard notation and compare the two thicknesses.

0.07 compared to 0.0043 results in 0.0657

0.0657 = 6.57 x 10^-2

Thus, a quarter is thicker than a dollar by 6.57 x 10^-2.

m = 6.57 and n = -2

To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?