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Anettt
1 month ago
7

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

od of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
Mathematics
2 answers:
Zina [12.3K]1 month ago
8 0

Response:

a

Detailed explanation:

lawyer [12.5K]1 month ago
5 0
The problem requests us to find out how many quarters are necessary to achieve 4975 units using the equation y = x6 − 25x4 + 199x2, where y represents the total units produced and x denotes the required quarters.
By substituting y = 4975, we can determine the value of x. <span>This can be easily calculated using a calculator.</span>
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2 months ago
Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
tester [12383]

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

H_0: \mu=15\\\\H_a: \mu\neq15

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

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2 months ago
The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range
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Answer:

(3, -1) That’s my opinion.

Step-by-step explanation:

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3 months ago
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Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
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Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.: p=0.15

Sample size: n=12

Mean: \mu=np=12\times0.15=1.8

Standard deviation = \sigma=\sqrt{np(1-p)}

\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369

Let x represent a binomial variable.

Referencing the standard normal distribution table,

P(x=4)=P(x\leq4)-P(x\leq3) (1)

Z score for normal distribution:-

z=\dfrac{x-\mu}{\sigma}

For x=4

z=\dfrac{4-1.8}{1.2369}\approx1.78

For x=3

z=\dfrac{3-1.8}{1.2369}\approx0.97

Thus, from (1)

P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289

Consequently, the likelihood of four students being absent = 0.1289

3 0
2 months ago
A recipe calls for 400 grams of flour. if leena makes one quarter of the recipe, how many kilograms of flour will she need?
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Additional 300 grams of flour will be required.
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