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3 years ago

The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s statistics classes.

Mathematics

1 answer:

stich3 [128]3 years ago

8 0

Answer:

The quiz grades for class 1 have more variability than the quiz grades for class 2.

Step-by-step explanation:

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4. Find the value of x in the right triangle below.<br> 60°

antiseptic1488 [7]

Answer:

Step-by-step explanation:

It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...

1 : √3 : 2

Then the sides marked will have the ratio ...

6 : x = 1 : 2 = 6 : 12

x = 12

_____

You can also get there using trigonometry.

cos(60°) = 6/x

x = 60/cos(60° = 60/0.5

x = 12

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3 years ago

Divide the following polynomials. Write the answer in descending powers of a.

Aleks [24]

The answer to this question is 5a^2-6a+20+(-175a+102)over(5a^2+6a-9)

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3 years ago

Read 2 more answers

Do all perpendicular lines have negative reciprocal slopes?

inna [77]

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

6 0

3 years ago

Write three different fractions that are less than 40%?

Trava [24]

1/5
1/3
8/100

Three fractions that are less than 40%.

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3 years ago

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A coin bank that excepts only nickels and dimes contains $9.15. There are three more than twice as many nickels as there are dim

valentinak56 [21]

45 dimes and 93 nickels were in bank

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "d" be the number of dimes

We know that,

value of 1 nickel = $ 0.05

value of 1 dime = $ 0.10

<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>

Number of nickels = 3 + 2(number of dimes)

n = 3 + 2d ---- eqn 1

<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>

number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15

$n \times 0.05 + d \times 0.10 = 9.15$

0.05n + 0.10d = 9.15 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Substitute eqn 1 in eqn 2

0.05(3 + 2d) + 0.10d = 9.15

0.15 + 0.1d + 0.10d = 9.15

0.2d = 9

From eqn 1

n = 3 + 2(45)

n = 3 + 90 = 93

Thus 45 dimes and 93 nickels were in bank

3 0

3 years ago