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In-s [12.5K]
2 years ago
15

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Mathematics
2 answers:
vodomira [7]2 years ago
8 0
<span>(Attached Image: https://media.education2020.com/evresources/3109/3109-03/3109-03-06/3109-03-06-assessment/3109-03-06...) The correct answer is: h(t) = -5t + 500; from the table it is visible that the time difference is 5 seconds; the sign before 500 must be be "+", for we're talking about 500 feet above the ground. </span>
Snezhnost [94]2 years ago
6 0
We are given that the elevator is descending, so the coefficient of t must be negative. The elevator's initial position is 500 feet above the ground, so this is a positive value of +500. Therefore the only choice that fits these is h(t) = -5t + 500.
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In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


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2 years ago
Deondra has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different a
Sonbull [250]

Answer:

It depends on the cost of grapes.

Step-by-step explanation:

Half of 12 is 6, so if each pack of grapes cost 6 or less, she can buy a pack of green and red grapes.

6 0
2 years ago
To find the number in a square multiply the numbers in the two circles connected to it brainly
max2010maxim [7]

Answer:

the answers is in the pic

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2 years ago
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
sweet-ann [11.9K]

Answer:

a. H_{0}: μ = $24.57

H_{a}: μ ≠ $24.57

b. 0.12

c. we fail to reject the null hypothesis since p ≈0.12 > 0.05

d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96

Step-by-step explanation:

a)

H_{0}: μ = $24.57

H_{a}: μ ≠ $24.57

b)

To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis

z-score can be calculated as follows:

\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X= $23.89
  • M is the mean value under null hypothesis ( $24.57)
  • s is the sample standard deviation ($2.40)
  • N is the sample size (30)

Putting the numbers in the formula we get

\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } } ≈ −1,5518

The corresponding p-value is <em>two tailed </em>and  ≈ 0.12

c)

since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>

d)

Critical value for the 0.05 significance level in two tailed test is :

c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>

7 0
2 years ago
Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is ap
strojnjashka [21]

Answer:

The value of the parameter is λ is 0.03692

Step-by-step explanation:

Consider the provided function.

f(x) = 0.5\lambda e^{-\lambda |x|} for −∞ < x < ∞.

It is given that standard deviation is given as 38.3 km.

Now we need to calculate the value of parameter λ.

The general formula for the probability density function of the double exponential distribution is: f(x)=\frac{e^{-|\frac{x-\mu}{\beta}|}}{2\beta}

Where μ is the location parameter and β is the scale parameter.

Compare the provided equation with the above formula we get.

\lambda=\frac{1}{\beta} and μ = 0.

Standard deviation = √2β

S.D=\sqrt{2} \beta\\\beta=\frac{38.3}{\sqrt{2}}\\\beta=27.08219

Now substitute the value of β in \lambda=\frac{1}{\beta}.

\lambda=\frac{1}{27.08219}=0.03692

Hence, the value of the parameter is λ is 0.03692

7 0
2 years ago
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