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3 years ago

IS 85 milometers greater or less then 0.85 litters?

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

85 milometers is less than 0.85 litters

Step-by-step explanation:

0.85 litters is 850 milometers or u could say 85 milometers is 0.085 litters witch means 850 milometers(0.85 litters) is more than 85 milometers or 0.085 litters(85 milometers) is less than 0.85 liters.

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3 years ago

Solve fev 4u = 56 Simplify your answer as much as

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3 years ago

Read 2 more answers

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

3 years ago

Eleanor is a faster runner than Jeremy by more than 10 seconds. Jeremy takes 22 seconds longer to run a particular course than N

gulaghasi [49]

Answer: t = 340+22-10

Step-by-step explanation:

Hi, to answer this question we have to analyze each runner:

Norma takes 340 seconds to run the course.

Norma's time = 340

Jeremy takes 22 seconds longer to run a particular course than Norma. Since he takes seconds longer, we have to add that amount to Norma’s time:

Jeremy's time = Norma's time +22 = 340+22

Eleanor is a faster runner than Jeremy by more than 10 seconds. Since she is faster, we have to subtract 10 seconds to Jeremy's time to obtain Eleanor's time (t)

t = Jeremy's time - 10

t = 340+22-10 (seconds)

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4 years ago

General Hospital has noted that they admit an average of 9 patients per hour.

serious [3.7K]

Answer:

(a) The probability that during the next hour less than 3 patients will be admitted is 0.00623.

(b) The probability that during the next two hours exactly 8 patients will be admitted is 0.00416.

Step-by-step explanation:

The complete question is: General Hospital has noted that they admit an average of 8 patients per hour.

(a) What is the probability that during the next hour less than 3 patients will be admitted?

(b) What is the probability that during the next two hours exactly 8 patients will be admitted?

The above situation can be represented through Poisson distribution as it includes the arrival rate of the pattern. So, the probability distribution of the Poisson distribution is given by;

$P(X = x) = \frac{e^{-\lambda} \times \lambda^{x} }{x!} ; x = 0,1,2,......$

Here X = Number of patients admitted in the hospital

$\lambda$ = arrival rate of patients per hour = 9 patients

So, X ~ Poisson( $\lambda$ = 9)

(a) The probability that during the next hour less than 3 patients will be admitted is given by = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\frac{e^{-9} \times 9^{0} }{0!} + \frac{e^{-9} \times 9^{1} }{1!} + \frac{e^{-9} \times 9^{2} }{2!}$

= $e^{-9} +(e^{-9} \times 9)+ \frac{e^{-9} \times 81}{2}$

= 0.00623

(b) Here, $\lambda = 9 \times 2$ = 18 because we have to find the probability for the next two hours and we are given in the question of per hour.

So, X ~ Poisson( $\lambda$ = 18)

Now, the probability that during the next two hours exactly 8 patients will be admitted is given by = P(X = 8)

P(X = 8) = $\frac{e^{-18} \times 18^{8} }{8!}$

= 0.00416

3 0

3 years ago