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3 years ago

Simplify. Rewrite in Standard Form.

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

8 0

Keep the first set of parenthesis the same but change the subtraction sign in between the two sets and the sign of each term in the second set of parenthesis. put a different shape around each set of like terms, to make it easier, but don't forget to include the signs of each term in the shape. then combine the like terms. if you are confused, look at the picture and you will see how to do it.

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Following are the number of grams of carbohydrates in a sample of 12-ounce espresso beverages offered at Starbucks. 6 , 9, 10, 2

marusya05 [52]

Answer:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1, 2 , 3, 4, 5, 6, 7, 8, 9, 10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

$p=\frac{8}{10} *100 = 80$

So the the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

Step-by-step explanation:

We can define a percentile as "a value on a scale of 100 that indicates the percent of a distribution that is equal to or below it"

For this case we have the following data given:

6 , 9, 10, 20, 22, 25, 27, 40 , 48, 59

And we want to calculate the percentile for the value of 40 grams

Since the dataset is on increasing way there is no problem to calculate this percentile.

We see that we have a total of n =10 observations, and we can rank the position of each observation (i) like this:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1, 2 , 3, 4, 5, 6, 7, 8, 9, 10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

$p=\frac{8}{10} *100 = 80$

So the the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

3 0

3 years ago

(will mark brainliest ) Which of the following best describes the expression 5(x + 2)? (5 points)

Lunna [17]

Answer:

Step-by-step explanation:

The only one of these possible answers that could be correct is the fourth one:

The product of a constant factor 5 and a 2-term factor x + 2. That '5' in front of (x+2) multiplies (x+2), and so the result is a product.

8 0

3 years ago

Put the fracrions on a number line: 1/2 1/4 1/5 1/3

madreJ [45]

Answer: The number line is attached.

1. You have the following fractions given in the problem above:

$\frac{1}{2},\frac{1}{4},\frac{1}{5},\frac{1}{3}$

2. You can write them in decimal form by dividing the numerator and the denominator. Keeping this on mind, you have:

$\frac{1}{2}=0.5$

$\frac{1}{4}=0.25$

$\frac{1}{5}=0.2$

$\frac{1}{3}=0.33$

3. Now, you can put these positive numbers in the number line, as you can see in the figure attached.

8 0

3 years ago

Ratios that show the same relationship are

olchik [2.2K]

Equivalent because they are the same

8 0

3 years ago

Read 2 more answers

Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.

vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

$\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152$