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nika2105 [10]
3 years ago
13

Tony's recipe for soup calls for 11/4 teaspoons of salt. He wants to use 1/2 that

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

11/8

Step-by-step explanation:

Simplify 11/4 = 2 3/4

half of 2 = 1

half of 3/4 = 3/8

1 3/8 changed to an inproper fraction = 11/8

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Use the cumulative normal distribution table to find the z-scores thqt bound the middle of 68% of theje area under the stanrard
padilas [110]

Answer:

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Middle 68%

Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.

16th percentile:

X when Z has a pvalue of 0.16. So X when Z = -0.995

84th percentile:

X when Z has a pvalue of 0.84. So X when Z = 0.995.

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

7 0
3 years ago
What is 4(1-2b)+7b-10
shutvik [7]

Answer:

-6-b

Step-by-step explanation:

4(1-2b)+7b-10

Multiply what's in parantheses

4(1)=4

4(-2b)=-8b

4-8b+7b-10

Combine like terms

4-10 -8b+7b

-6-b

Hope this helps :)

6 0
3 years ago
X<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20%2Bx%2B2%29%28x%5E%7B2%7D%20%2B4x%2B2%29%2B2x%5E%7B2%7D" id="TexFormula1" ti
Natasha_Volkova [10]

Answer:

x

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2

x

5

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11

x

4

+

21

x

3

+

28

x

2

+

20

x

+

4

)

5 0
2 years ago
What is the range of the values shown on the table? What does the range represent?
hjlf

Answer:

Option D)R: {0 ≤ y ≤ 360}; The range represents the number of miles the car can travel

Step-by-step explanation:

The table in the attached figure

Let

x -----> the amount of gas used in gallons (independent variable)

y ----> the number of miles the car can travel (dependent variable)

In this problem

The domain is the interval -----> [0,12]

0\ gal \leq x \leq 12\ gal

The range is the interval ----> [0,360]

0\ miles \leq y \leq 360\ miles

3 0
3 years ago
A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian
djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

  • c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

  • 5² + 12²
  • 25 + 144 = 169
  • √169  = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

  • tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
  • 180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

7 0
2 years ago
Read 2 more answers
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