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Answer:
6
Step-by-step explanation:
The exponents of x (in the order the polynomial was given) are: 3, 0, 5, 2
Now we put the exponents of x in descending order.
The second term is
The degree of a term is the sum of the exponents of all variables of the term. The exponent of x is 3. The exponent of y is 3, and 3 + 3 = 6.
The degree of the second term is 6.
Answer: 6
Answer:
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
- Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
- Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.
A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
For the baker's claim, the appropriate null and alternative hypotheses would be given by:
H₀: μ ≤ 15
H₁: μ > 15
Since the standard deviation for the height is given, the population would have a normal distribution, and the population standard deviation is given by:
Population standard deviation = σ/√n
Population standard deviation = 0.5/√10
Population standard deviation = 0.16.
For the p-value, we have:
The p-value is the probability that a sample mean would be the same or greater than (≥) 17 cm. Thus, the p-value is given by:
p-value = P(x > 17) ≈ 0.
Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
Question 3.
For the oil company's claim, the appropriate null and alternative hypotheses would be given by:
H₀: μ = 0.15
H₁: μ > 0.15
<h3>How to calculate value of the z-score?</h3>The z-score can be calculated by using this formula:
<u>Where:</u>
- x is the sample mean.
- u is the mean.
- is the standard deviation.
- n is the number of boys.
Substituting the given parameters into the formula, we have;
z = 0.012/0.0633
z = 0.190.
From the z-table, a z-score of 0.190 is equal to a p-value of 2.37.
For the critical value, we have:
Critical probability (p*) = 1 - α/2
Critical probability (p*) = 1 - 0.1/2
Critical probability (p*) = 0.95.
Hence, the critical value is Zα/2 equal to 1.645.
Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.
Read more on null hypothesis here: brainly.com/question/14913351
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