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steposvetlana [31]
2 years ago
13

An archway is modeled by the equation y = -2x^2 + 8x. A rod is to be placed across the archway at an angle defined by the equati

on x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?
A. 8 units
B. 6 units
C. 5 units
D. 3 units
Mathematics
2 answers:
vaieri [72.5K]2 years ago
8 0

Answer

The answer is 6

Step-by-step explanation:

DIA [1.3K]2 years ago
3 0
To solve this problem you must apply the proccedure shown below: 

1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
 2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:

 x−2.23(-2x^2+8x)+10.34=0

 3. When you apply the distributive property, you obtain:

 x−2.23(-2x^2+8x)+10.34=0
 x+4.46x^2-17.84x+10.34=0
 4.46x^2-16.84x+10.34=0

 4. When you solve the quadratic equation, you obtain:

 x=3 units

 Therefore, the answer is the option D: D. 3 units.
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The time it takes to deliver a pizza (from time of phone call to delivery at door) follows a normal distribution with a mean (µ)
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99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 45, \sigma = 5

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

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Z = \frac{60 - 45}{5}

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99.87% of the store’s total delivery orders will be delivered to consumers with charge

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1 year ago
Consider the function f(x)=(x+4)(x+2). Dilate f(x) by X to create a new function of a higher degree
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Answer:

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Step-by-step explanation:

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The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its preci
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Answer:

The probability that a defective ball bearing was manufactured on a Friday = 0.375

Step-by-step explanation:

Let the event of making a mistake = M

The event of making a precision ball bearing production on Monday = Mo

The event of making a precision ball bearing production on Tuesday = T

The event of making a precision ball bearing production on Wednesday = W

The event of making a precision ball bearing production on Thursday = Th

The event of making a precision ball bearing production on Friday = F

the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4% on Tuesday, P(M|T) = 4% = 0.04

4% on Wednesday, P(M|W) = 0.04

4% on Thursday, P(M|Th) = 0.04

8% on Monday, P(M|Mo) = 0.08

and 12% on Friday = P(M|F) = 0.12

The Company manufactures an equal amount of ball bearings (20 %) on each weekday, Hence, the probability that a random precision ball bearing was made on a particular day of the week, is mostly the same for all the five working days.

P(Mo) = 0.20

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The probability that a defective ball bearing was manufactured on a Friday = P(F|M)

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P(F n M) = P(M n F)

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P(W n M) = P(M|W) × P(W) = 0.04 × 0.20 = 0.008

P(Th n M) = P(M|Th) × P(Th) = 0.04 × 0.20 = 0.008

P(F n M) = P(M|F) × P(F) = 0.12 × 0.20 = 0.024

P(M) = P(Mo n M) + P(T n M) + P(W n M) + P(Th n M) + P(F n M)

P(M) = 0.016 + 0.008 + 0.008 + 0 008 + 0.024 = 0.064

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P(M) = 0.064

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Hope this Helps!

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Answer:

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Step-by-step explanation:

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In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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In this problem, we have that:

\mu = 23.3, \sigma = 1.4

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

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