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GalinKa [24]
1 year ago
7

A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W

rite and solve a linear equation to find the original height of the candle.
Mathematics
1 answer:
Montano1993 [528]1 year ago
8 0

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:

A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

d = - 0.2 (it is decreasing)

n = 8

T8 = 13.4 inches

We want to determine the value of the first term, a. Therefore,

13.4 = a - 0.2(8 - 1)

13.4 = a - 1.4

a = 13.4 + 1.4 = 14.8 inches

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In electrical engineering, the unwanted "noise" in voltage or current signals is often modeled by a Gaussian (i.e., normal) dist
vladimir1956 [14]

Answer:

Cov(X, Y) =0.029.

Step-by-step explanation:

Given that :

The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)

Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.

0.04e–jτj/10 ............(2)

Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.

That is, they are 5 seconds apart,

τ = 5 seconds..............(3)

Thus,

Cov(X, Y), for τ = 5seconds = 0.04e-5/10

= 0.04e-0.5 = 0.04/√e

= 0.04/1.6487

= 0.0292

Thus, Cov(X, Y) =0.029.

5 0
1 year ago
Franklin rides his bike to the beach averaging 18mph. He rides home along the same route. What speed must he average on the way
Sedaia [141]
  • <em>Answer:</em>

<em> 24 mph</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>Vm = 21mph</em>

<em>V1 = 18mph</em>

<em>V2 = ?</em>

<em>Vm = (V₁ + V₂)/2</em>

<em>2Vm = V₁ + V₂</em>

<em>V₂ = 2Vm - V₁</em>

<em>replace Vm ; V₁</em>

<em>V₂ = 2×21mph - 18mph</em>

<em>= 42mph - 18mph</em>

<em>= 24 mph</em>

<em>Good luck !</em>

8 0
2 years ago
Tara made a rectangular fence around here rose so it would not get hurt by her dog she put a fence around the rose that was 4 fe
s2008m [1.1K]
24 square feet of material
7 0
2 years ago
Read 2 more answers
Pairs of P-values and significance levels, α, are given. For each pair, state whether the observed P-value would lead to rejecti
lubasha [3.4K]

Answer:

(a) P-value = 0.074, α = 0.05 do not reject H0

(b) P-value = 0.006, α = 0.001 do not reject H0

(c) P-value = 0.494, α = 0.05 do not reject H0

(d) P-value = 0.074, α = 0.10 reject H0

(e) P-value = 0.028, α = 0.01 do not reject H0

(f) P-value = 0.296, α = 0.10 do not reject H0

Step-by-step explanation:

The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not. 

In order to reject the null hypothesis, the p-value should be lower than the significance level (α).

7 0
1 year ago
Question 10
julia-pushkina [17]

Answer:

c use your brain ok

Step-by-step explanation:

lol

7 0
1 year ago
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