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3 years ago

Roman is playing a game in which he draws cards from a standard 52-card deck. Roman draws one card from

Mathematics

1 answer:

Igoryamba3 years ago

8 0

Answer:

50% ................................

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A rope from the top of a mast on a sailboat is attached to a point 6 feet from the base of the mast. If the rope is 24 feet long

Zanzabum

Answer: It is about 23 feet.

Step-by-step explanation:

1. Let's call <em>x</em> the height of the mast.

2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:

$x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}$

$x$ ≈ $23ft$

3 0

3 years ago

You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,

kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

$\text{Sum of square of differences} = \sum (x_i -\bar{x})^2$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{962}{15} = 64.13$

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0

3 years ago

Simplify the expressioh 6.9-(-5)+4.1

Vadim26 [7]

Answer:

Step-by-step explanation:

6.9-(-5)+4.1

When we subtract negatives, it is like adding positives

6.9 +(5)+4.1

11.9 + 4.1

8 0

3 years ago

Please help!!! I will give brainliest but only if you try and help.

Slav-nsk [51]

Answer:

Since we have to predict, we can use ratios to help us solve this.

12 said yes out of 72 randomly chosen, SO,

if 210 would say yes (goes to play), how many is total??

12 is to 72 AS 210 is to HOW MUCH (let it be x)??

We can setup ratio, cross multiply, and solve for x:

= 12/72= 210/x

= 12x = 210*72

=12x = 15,120

=x = 15,120/12

8 0

3 years ago

What’s the correct answer ?

Leona [35]

The answer is a) 35

The steps:
180° - 95 ° = 85 °
180 ° - (85 ° + 60 °)=35 °

7 0

4 years ago