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Lena [83]
2 years ago
7

Between which two consecutive whole numbers does 86 lie? Fill out the sentence below to justify your answer and use your mouse t

o drag 86 to an approximately V correct location on the number line. 786 1 Since and it is known that 86 is between V and​

Mathematics
1 answer:
Sveta_85 [38]2 years ago
5 0

\boxed{9}\rule[0.35em]{10em}{0.25pt}\stackrel{\sqrt{86}}{\approx 9.27}\rule[0.35em]{17em}{0.25pt}\boxed{10}

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Simplify the radical expression
denis-greek [22]

Answer:

6x

Step-by-step explanation:

\sqrt{36 {x}^{2} }  =  \sqrt{36}  \times  \sqrt{ {x}^{2} }

Square of 36 is 6. Square of x^2is x.

6x

3 0
2 years ago
If you cannot see the photo the question is A rental car charges 160.00 per week plus 0.25 per mile to rent a car. How many mile
Rzqust [24]

Answer:

You can travel 630 miles.

Step-by-step explanation:

317.5 - 160 = 157.5

157.5 / .25 = 630

8 0
3 years ago
Production of a gas flow meter takes place in two distinct operations. Measurements (n = 15) of the time required for the first
Karolina [17]

Answer:

a) P(a > 80) = 0.323

b) The 95% confidence interval = (73.40, 80.60)

c) The 95% confidence interval expresses that the mean of the distribution can always be found in the given range, with a 95% confidence level.

Step-by-step explanation:

X ~ (45, 4)

Y ~ (32, 2.5)

(X+Y) ~ (77, 6.5)

Let a = (X+Y)

a) Probability that the time required to complete both of those steps will exceed 80 min = P(a > 80)

This is a normal distribution problem

We then standardize 80 min time

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (a - μ)/σ = (80 - 77)/6.5 = 0.46

To determine the probability the time required to complete both of those steps will exceed 80 min = P(a > 80) = P(z > 0.46)

We'll use data from the normal probability table for these probabilities

P(a > 80) = P(z > 0.46) = 1 - P(z ≤ 0.46) = 1 - 0.677 = 0.323

b) 95% confidence interval for the expected total time required to produce one flow meter.

We need to obtain the margin of error

Margin of error = (critical value) × (standard error of the sample)

Critical value for a 95% confidence interval = critical value for a significance level of 5% = t(15-1, 0.05/2) = 2.145 (using the t-score since information on the population mean and standard deviation isn't known)

Standard error for the sample of sum of times = (standard deviation of the sum of times)/√n = (6.5/√15) = 1.678

Margin of error = 2.145 × 1.678 = 3.60

Limits of the confidence interval = (Sample mean ± margin of error)

Lower limit of the confidence interval = (Sample mean - margin of error) = 77 - 3.60 = 73.40

Upper limit of the confidence interval = 77 + 3.60 = 80.60

The confidence interval = (73.40, 80.60)

4 0
3 years ago
The ratio of students who wear glasses to the total class is 2: 5. If there
Dahasolnce [82]
25 students
hope this helps
4 0
1 year ago
Divide: 4/15÷8/25. What is the answer?
dybincka [34]
4/15 = 0.267
8/25 = 0.32
0.267/0.32 = 0.834375
3 0
2 years ago
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