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lesya [120]
3 years ago
6

Please help me with ptomblem

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

When p^2 - 4p is subtracted from p^2 + p - 6, the result is 5p - 6. To get p - 9, subtract 4p + 3 from the result.

Step-by-step explanation:

✔️Subtracting p^2 - 4p from p^2 + p - 6:

(p^2 + p - 6) - (p^2 - 4p)

p^2 + p - 6 - p^2 + 4p (Distributive property)

Collect like terms

p^2 - p^2 + p + 4p - 6

5p - 6

✔️Subtracting p - 9 from 5p - 6:

(5p - 6) - (p - 9)

5p - 6 - p + 9 (distributive property)

Add like terms

4p + 3

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<h3>Answer:</h3>

<u>The given quadrilateral are cyclic quadrilateral, so the sum of opposite angle is 180°</u>.

Therefore,

  • x + 26° = 180°
  • x = 180° - 26°
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3 years ago
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A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house
Nina [5.8K]

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87,   x = 87 - 4y

2(87 - 4y) + 3y = 84

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90 = 5y

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Add the value of Y to an original equation. Solve for X

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2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

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3 years ago
A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the
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Answer:

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Step-by-step explanation:

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According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a
Sav [38]

Answer:

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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 = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

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X = 6.4

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

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Z = -1 has a pvalue of 0.1587

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Step-by-step explanation:

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