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4 days ago

Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase

a copy of the same book, which normally sells for $26.50 plus 10% sales tax. To check if she has enough to purchase the book, Maria takes 25% of $26.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Edwin takes 75% of the normal purchase price and then computes 110% of the reduced price. Is Maria correct? Is Edwin correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.

Mathematics

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Steve possesses an absolute advantage in laundry while Mike holds the comparative advantage in meal preparation.

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2 months ago

A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running a

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The fox’s speed needs to exceed that of the rabbit to successfully catch up. Thus, the required speed for the fox is expressed as 35/t + 40.

The distance separating the rabbit from the fox is 35 feet.

The speed of the rabbit is 40 feet per second.

Fox's speed = F

To calculate a precise speed for the fox, a specific time for the pursuit must be provided.

Let’s denote the time as t.

Recall that:

Speed = distance / time

Distance = speed × time

The distance the rabbit moves away from the fox after time t will be:

35 + (40 × t) = 35 + 40t

The distance traveled by the fox after time t is: fox speed × t = F × t.

To catch the rabbit, both the fox and rabbit must cover the same distance:

Rabbit's distance at time t equals Fox's distance at that time.

35 + 40t = Ft

To determine F, the fox's speed:

Dividing both sides by t yields:

(35 + 40t) / t = Ft/t

35/t + 40 = F

<pThus, the speed of the fox should be: 35/t + 40

To find out the exact speed of the fox, a specific time value must be provided.

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3 months ago

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num

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2 months ago

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One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north

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Answer:

The null hypothesis is stated as H₀: μ = 100

The alternative hypothesis is Hₐ: μ < 100

Evidence suggests that the average location in Wade Tract is 100

Step-by-step explanation:

We define our null hypothesis as H₀: μ = 100, where the average location of trees in the Wade Tract amounts to 100.

Our alternative hypothesis thereby is stated as Hₐ: μ < 100 at a 95% confidence level.

Proposed average location in Wade Tract is μ = 100.

The sample mean computes to $\bar x$ = 99.74.

The standard deviation is s = 58.

The sample size n = 584.

Using the t-test formula yields the following results:

$t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}$

Consequently, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We calculate $t_{\alpha /2}$ = -1.65

Substituting values into the t-test formula gives t = -0.108338, producing a p-value of p = 0.4569, which exceeds α, hence we accept the null hypothesis, indicating that there is adequate statistical evidence supporting the average location of Wade Tract = 100.

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2 months ago